<?xml version="1.0" encoding="utf-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" "journalpublishing.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" article-type="review-article" dtd-version="2.3" xml:lang="EN">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Psychol.</journal-id>
<journal-title>Frontiers in Psychology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Psychol.</abbrev-journal-title>
<issn pub-type="epub">1664-1078</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpsyg.2025.1521487</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Psychology</subject>
<subj-group>
<subject>Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Navigating space and the developing mind</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>N&#x00E9;meth</surname> <given-names>Adrienn R&#x00E9;ka</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2742340/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Stoji&#x0107;</surname> <given-names>Sandra</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2598336/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Nadasdy</surname> <given-names>Zoltan</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/3807/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Doctoral School of Psychology, ELTE E&#x00F6;tv&#x00F6;s Lor&#x00E1;nd University</institution>, <addr-line>Budapest</addr-line>, <country>Hungary</country></aff>
<aff id="aff2"><sup>2</sup><institution>Institute of Psychology, ELTE E&#x00F6;tv&#x00F6;s Lor&#x00E1;nd University</institution>, <addr-line>Budapest</addr-line>, <country>Hungary</country></aff>
<aff id="aff3"><sup>3</sup><institution>Department of Neurology, Dell School of Medicine, University of Texas at Austin</institution>, <addr-line>Austin, TX</addr-line>, <country>United States</country></aff>
<aff id="aff4"><sup>4</sup><institution>Zeto, Inc.</institution>, <addr-line>Santa Clara, CA</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0001">
<p>Edited by: Miriam Ittyerah, University of Delhi, India</p>
</fn>
<fn fn-type="edited-by" id="fn0002">
<p>Reviewed by: Zita Patai, University College London, United Kingdom</p>
<p>Luca Pullano, Magna Gr&#x00E6;cia University, Italy</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Adrienn R&#x00E9;ka N&#x00E9;meth, <email>nemeth.adrienn@ppk.elte.hu</email>; Zoltan Nadasdy, <email>nadasdy.zoltan@ppk.elte.hu</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>14</day>
<month>05</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>16</volume>
<elocation-id>1521487</elocation-id>
<history>
<date date-type="received">
<day>01</day>
<month>11</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>21</day>
<month>04</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 N&#x00E9;meth, Stoji&#x0107; and Nadasdy.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>N&#x00E9;meth, Stoji&#x0107; and Nadasdy</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>In this article, we review the extensive and complex fabric of literature concerning the ontogenesis of spatial representations from earliest childhood to the elderly, including normal and abnormal aging (dementia and Alzheimer&#x2019;s disease). We also revisit fundamental concepts of the neuronal representations of space, egocentric vs. allocentric reference frames, and path integration. We highlight a thread of contradictions in spatial cognition from infant cognition to the first breakthrough at around the age of four. The contradictions reemerge in the literature on age-related decline in spatial cognition. We argue that these contradictions derive from the incorrect assumption that path integration is exclusively associated with allocentric frames of references, hence, signatures of path integration are often taken as evidence for allocentric perspective-taking. We posit that several contradictions in the literature can be resolved by acknowledging that path integration is agnostic to the type of reference frame and can be implemented in both egocentric and allocentric frames of reference. By freeing the frames of reference from path integration, we arrive at a developmental trajectory consistent across cognitive development studies, enabling us to ask questions that may dissolve the obscurity of this topic. The new model also sheds light on the very early stage of spatial cognition.</p>
</abstract>
<kwd-group>
<kwd>spatial navigation</kwd>
<kwd>allocentric</kwd>
<kwd>egocentric</kwd>
<kwd>path integration</kwd>
<kwd>aging</kwd>
<kwd>development</kwd>
<kwd>theory of mind</kwd>
</kwd-group>
<counts>
<fig-count count="1"/>
<table-count count="0"/>
<equation-count count="4"/>
<ref-count count="222"/>
<page-count count="17"/>
<word-count count="19224"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Cognition</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="sec1">
<label>1</label>
<title>Introduction: the concept of space</title>
<p>Together, space and time constitute the principal dimensions of our consciousness. They provide a framework to organize our memory, perception, and plans (<xref ref-type="bibr" rid="ref32">Buzs&#x00E1;ki and Llin&#x00E1;s, 2017</xref>; <xref ref-type="bibr" rid="ref78">Herweg and Kahana, 2018</xref>). Space without time is the arena of our interactions with the outside world. It is the coordinate system for all possible locations objects can take, including ourselves. Cognitive map and its neuronal representation in the brain determine an individual&#x2019;s strategy of navigation (<xref ref-type="bibr" rid="ref207">Ulanovsky, 2011</xref>). Therefore, the ability to navigate is inseparable from the nature of this cognitive space. The philosophical question of whether the representation of the space is <italic>a priori</italic> (<xref ref-type="bibr" rid="ref91">Kant, 1998</xref>, as cited in <xref ref-type="bibr" rid="ref6800">Guyer and Wood, 1998</xref>) or the result of development (<xref ref-type="bibr" rid="ref39">Clark, 1973</xref>; <xref ref-type="bibr" rid="ref111">Lee and Spelke, 2010</xref>) is long overdue. The cultural history of the concept of space as an independent dimension of the world has faded in obscurity, and the earliest drawings and cave art inform us nothing about the difference between prehistoric and modern conceptualization of cognitive space (<xref ref-type="bibr" rid="ref94">Keller, 2016</xref>).</p>
<p>There are two fundamental questions related to the <italic>a priori</italic> concept of space. First is the dimensionality of space, and second is the question of absolute vs. relative space. Concerning the first question, we know that vertebrates sense acceleration during locomotion and head-turns with their three semicircular arches in 3 more or less orthogonal planes (<xref ref-type="bibr" rid="ref19">Berlin et al., 2013</xref>). While the 3-dimensional sampling of acceleration is consistent with the concept of the Cartesian coordinate system (<xref ref-type="bibr" rid="ref161">P&#x00E9;rez, 2009</xref>), physics still owns us a clear answer about the dimensionality of space (<xref ref-type="bibr" rid="ref202">Tegmark, 1997</xref>), and so does psychophysics; why do we perceive three?</p>
<p>Concerning the second question, it has been long debated whether space is a system of objects in relation to each other or only an abstract coordinate system. Western philosophers, from Aristotle to Descartes and Leibnitz, articulated the relational nature of space and motion. Although Leibnitz explicitly criticized Newton&#x2019;s concept of absolute space and time, he did not provide a consistent alternative (<xref ref-type="bibr" rid="ref176">Rovelli, 2006</xref>; <xref ref-type="bibr" rid="ref209">Vailati, 1997</xref>). Despite its critics, the ubiquitous concept of 3-dimensional Cartesian space provided an elegant framework for Newton&#x2019;s notion of absolute space (<xref ref-type="bibr" rid="ref196">Stachel, 2005</xref>). Such a reference frame, independent of objects, motion, and the observer, is also a very accommodating notion as a cognitive frame of reference for navigation, specifically as an allocentric frame of reference. Whether the Newtonian concept of absolute space shaped our concept of space or it just happens to be coalescent with our intuition of a virtually infinite coordinate system encompassing all coexisting objects and events, we do not know. The cultural-historical origin of this concept is beyond our grasp. However, regarding the ontogenesis of this concept, we know with certainty that the notion of absolute space is the result of the developmental processes (<xref ref-type="bibr" rid="ref162">Piaget and Inhelder, 1956</xref>; <xref ref-type="bibr" rid="ref111">Lee and Spelke, 2010</xref>) and when combined with the concept of absolute time, it serves the main organizing dimensions of the episodic and autobiographic memory (<xref ref-type="bibr" rid="ref173">Rice and Rubin, 2011</xref>).</p>
<p>Moreover, the concept of absolute space may extend beyond space itself. Numerous studies published over recent years argue that abstract semantical-conceptual representations in our brain are extensions of the spatial navigation system. According to this view (<xref ref-type="bibr" rid="ref62">Epstein et al., 2017</xref>), spatial codes specific to the hippocampus and entorhinal cortex may be applied to non-spatial domains in the human brain and organize concepts in semantical spaces similar to cognitive maps, including social conceptual spaces. A signature of the putative spatial code was identified as a hexa-directional modulation of the BOLD response of fMRI, but direct single-unit electrophysiology proof is still lacking (<xref ref-type="bibr" rid="ref44">Constantinescu et al., 2016</xref>; <xref ref-type="bibr" rid="ref119">Mack et al., 2016</xref>).</p>
<p>In the following few, we aim to overview the literature on the development and decline of spatial cognition, with special regard to the egocentric and allocentric reference frames.</p>
</sec>
<sec id="sec2">
<label>2</label>
<title>Basic concepts</title>
<p>The concept of cognitive map, introduced by <xref ref-type="bibr" rid="ref204">Tolman (1948)</xref>, provides the basis of our understanding of mammalian spatial navigation. Representations of spatial relations are results of learning and are stored in long-term memory (<xref ref-type="bibr" rid="ref120">Madl et al., 2016</xref>). During spatial navigation, we rely on information registered in relation to two types of reference frames. One is an egocentric reference frame using a body-centered coordinate system. The other is an allocentric-type reference frame, which uses coordinate systems attached to the environment or other stable landmarks. Information acquired through our sensory organs is registered in egocentric reference frames. Egocentric reference frames can also be divided into retinotopic (eye-centered, also called gaze-centered), head-centered, and body-centered reference frames (<xref ref-type="bibr" rid="ref7">Andersen et al., 1993</xref>; <xref ref-type="bibr" rid="ref99">Klatzky, 1998</xref>). In contrast, objects can be represented in allocentric reference frames, such as the boundaries of the environment or architectural landmarks defined by the spatial relationship of objects with a relative viewpoint independence (<xref ref-type="bibr" rid="ref99">Klatzky, 1998</xref>; <xref ref-type="bibr" rid="ref28">Burgess, 2006</xref>). Typically, egocentric object representations are converted into allocentric representations during the construction phase of the cognitive map. However, the opposite may also happen when we navigate based on a cognitive map (using a graphical map, for instance), and we convert the allocentric into egocentric to compare the egocentric prediction to the actual egocentric sensory input. Consequently, we rely on both the egocentric and allocentric frames of reference during spatial navigation (<xref ref-type="bibr" rid="ref135">Moffat, 2009</xref>).</p>
<p>What makes one spatial reference frame preferred over the other? While both ego and allocentric enable navigation and are supported by various viewpoints, the reference frames and viewpoints are not independent. <xref ref-type="bibr" rid="ref205">T&#x00F6;r&#x00F6;k et al. (2014)</xref> found a viewpoint-dependent bias in the effective use of spatial reference frames for navigation. Accordingly, by testing human subjects in virtual environments, certain viewpoints make the navigation relative to one reference frame more efficient than relative to another reference frame. Ground-level viewpoints, for instance, are more efficient in egocentric navigation in terms of time and distance to target than bird-eye views. Conversely, bird-eye views improve allocentric navigation performance relative to egocentric navigation. Hence, the efficacies of egocentric and allocentric reference frames for spatial navigation are not equivalent.</p>
<p>This relates to a potential source of confusion, namely, egocentric reference frames are often illustrated from a third-party point of view or from above. This may partly be due to the didactic habit of taking an outsider&#x2019;s point of view when explaining spatial references, but it is misleading. Other sources correctly recognized that egocentric reference frames adhere primarily to a first-person point of view (for example, <xref ref-type="bibr" rid="ref60">Ekstrom et al., 2014</xref>). While one can convert egocentric angular space to a bird&#x2019;s-eye view map, the egocentric view is inherently expressed in polar coordinates from a first-person point of view (<xref ref-type="bibr" rid="ref222">Wolbers and Wiener, 2014</xref>), with the observer in the center. In contrast, the allocentric reference frame is more likely expressed from an outside 3<sup>rd</sup> party point of view.</p>
<p>Furthermore, the egocentric and allocentric spatial layouts support spatial retrieval differently. <xref ref-type="bibr" rid="ref189">Serino et al. (2024)</xref> indicated better spatial memory performance of bodily stimuli in the egocentric recall task than in the allocentric one. This can be explained by the relationship between spatial representation and sensorimotor processing, which will be discussed later. It also seems that affection (e.g., positive aesthetic experience) is associated with egocentric memory due to its body-referenced nature (<xref ref-type="bibr" rid="ref14">Babo-Rebelo et al., 2022</xref>).</p>
<p>According to <xref ref-type="bibr" rid="ref216">Wang and Spelke (2002)</xref>, humans primarily rely on dynamic and egocentric representations during navigation. For instance, the receptive field of a neuron is always anchored to a certain spatial point of reference. When the eyes make a saccade, the projections of objects shift relative to the center of the retina. Hence, the retinotopic projections of objects change with every saccade. Nevertheless, our visual cortex keeps track of these changes and subtracts them from the object coordinates. Hence, it is able to align the reference frame to these objects (<xref ref-type="bibr" rid="ref197">Steinberg et al., 2022</xref>). If objects are stationary, this coordinate system provides an allocentric reference frame. By subtracting the vectors/tensors of position changes due to eye, head, and body movements, the brain progressively eliminates the effects of these accidental jitters while generating an observer- and viewpoint-independent representation of the environment. We can illustrate this idea with the concept of head-direction cells. According to <xref ref-type="bibr" rid="ref66">Filimon (2015)</xref>, the allocentric reference frame is a derivative of the egocentric frame of reference by applying a mental rotation through the relocation of the observer&#x2019;s body. Therefore, argues Filimon, the allocentric reference will never be completely independent of the up-down, left&#x2013;right dimensions defined by our body axis.</p>
<p>When discussing fundamental frames of reference, we must mention <xref ref-type="bibr" rid="ref193">Siegel and White (1975)</xref> model, which is primarily a cognitive developmental model, later generalized by <xref ref-type="bibr" rid="ref139">Montello (1998)</xref> into a framework applicable to the differentiation of spatial learning generally. According to the original model (<xref ref-type="bibr" rid="ref193">Siegel and White, 1975</xref>), spatial navigation develops in stages. First, we memorize and recognize landmarks, which are salient objects and perceptual patterns in the environment that do not contain metric information. Route knowledge is created by connecting landmarks into a sequential order through movement. During this process, we form expectations about potentially occurring landmarks and the decisions associated with them. This type of knowledge is egocentric (<xref ref-type="bibr" rid="ref191">Shelton and McNamara, 2001</xref>; <xref ref-type="bibr" rid="ref103">K&#x00F6;nig et al., 2019</xref>). The most complex level of spatial learning is survey knowledge, which is a metric, map-like representation of the environment. It includes the network of routes and landmarks as well. According to <xref ref-type="bibr" rid="ref193">Siegel and White (1975)</xref>, the use of shortcuts, the creation of new routes, and the ability to determine the direction of landmarks are evidence of this allocentric-based spatial knowledge (<xref ref-type="bibr" rid="ref139">Montello, 1998</xref>; <xref ref-type="bibr" rid="ref103">K&#x00F6;nig et al., 2019</xref>). <xref ref-type="bibr" rid="ref139">Montello (1998)</xref> critique suggests that spatial knowledge does not develop in a strictly hierarchical manner, assuming map-like knowledge from the beginning.</p>
<p>Concerning human spatial navigation <xref ref-type="bibr" rid="ref216">Wang and Spelke (2002)</xref> identified three fundamental systems: (i) Path integration, which dynamically updates our current position relative to significant environmental locations. (ii) View-dependent place recognition, which involves matching the visual field to viewpoint-dependent representations of landmarks. (iii) Reorientation, which complements path integration when it fails and helps the navigator restore their position.</p>
<p>Path integration (PI) enables us to determine our position based on proprioception, optic flow, and vestibular input, collectively referred to as idiothetic cues, as opposed to the allothetic (or allocentric) cues discussed above (<xref ref-type="bibr" rid="ref116">Loomis et al., 1999</xref>). PI is the method by which the navigator stores and aggregates recent traces of straight path segments starting with the initial position where the vectorial sum of these segments represents the actual position. Hence, the navigator can always localize itself by updating the vectorial sum and finding shortcuts to returning to the starting point (<xref ref-type="bibr" rid="ref42">Collett and Collett, 2000</xref>). Regarding gender differences in PI, <xref ref-type="bibr" rid="ref48">Coutrot et al. (2019)</xref> did not find significant differences between male and female subjects, and this concordance is maintained throughout the lifespan (<xref ref-type="bibr" rid="ref224">Yu et al., 2021</xref>).</p>
<p>Because PI enables shortcuts and PI contributes to the formation of cognitive maps, shortcuts are often mistakenly taken as evidence for cognitive maps. However, the use of PI in relation to allocentric and egocentric navigation is still controversial, which we present in the following paragraphs.</p>
</sec>
<sec id="sec3">
<label>3</label>
<title>The neuronal background of the spatial navigation</title>
<p>The neuronal underpinning of spatial navigation has been extensively studied over the last 50&#x202F;years. Converging human neuroimaging and animal electrophysiology unraveled the role of the medial temporal lobe and, in particular, the hippocampus in spatial navigation (<xref ref-type="bibr" rid="ref8">Antonova et al., 2009</xref>; <xref ref-type="bibr" rid="ref26">Brown and Chrastil, 2019</xref>; <xref ref-type="bibr" rid="ref114">Li and King, 2019</xref>; <xref ref-type="bibr" rid="ref175">Rinaldi et al., 2020</xref>). According to neuroimaging, the parietal cortex and the hippocampus are part of the episodic memory system (<xref ref-type="bibr" rid="ref56">Dickerson and Eichenbaum, 2010</xref>), which integrates semantic content into sequentially organized episodic memories (<xref ref-type="bibr" rid="ref32">Buzs&#x00E1;ki and Llin&#x00E1;s, 2017</xref>). The right parietal cortical areas are implicated in egocentric strategies (<xref ref-type="bibr" rid="ref121">Maguire et al., 1998</xref>). The parietal lobe contributes to egocentric orientation through the execution of multiple psychological functions, including spatial attention (<xref ref-type="bibr" rid="ref118">Luria, 1973</xref>; <xref ref-type="bibr" rid="ref5">Andersen and Buneo, 2002</xref>; <xref ref-type="bibr" rid="ref195">Souza-Couto et al., 2023</xref>), spatial awareness, multisensory integration (<xref ref-type="bibr" rid="ref5">Andersen and Buneo, 2002</xref>), and somatosensory processing (<xref ref-type="bibr" rid="ref147">Navon, 1997</xref>; <xref ref-type="bibr" rid="ref195">Souza-Couto et al., 2023</xref>). Likewise, specific areas in the dorsal striatum, such as the caudate, are responsible for egocentrically defined motor movements (<xref ref-type="bibr" rid="ref222">Wolbers and Wiener, 2014</xref>). The hippocampus and the parahippocampal areas are involved with allocentric navigation (<xref ref-type="bibr" rid="ref121">Maguire et al., 1998</xref>). The hippocampus, as a core component of the long-term episodic memory system, maintains and constructs world-centered perceptual information called the cognitive map and provides flexible navigation in space (<xref ref-type="bibr" rid="ref152">O'Keefe and Nadel, 1978</xref>; <xref ref-type="bibr" rid="ref23">Bird and Burgess, 2008</xref>).</p>
<p>Concerning the role of the mesial temporal lobe, three types of cells play key roles in spatial navigation and cognitive map formation: the place cells (<xref ref-type="bibr" rid="ref151">O'Keefe and Dostrovsky, 1971</xref>), the grid cells (<xref ref-type="bibr" rid="ref77">Hafting et al., 2005</xref>; <xref ref-type="bibr" rid="ref142">Moser et al., 2008</xref>) and the head direction cells (<xref ref-type="bibr" rid="ref201">Taube et al., 1990</xref>). In addition, we distinguish border cells (<xref ref-type="bibr" rid="ref194">Solstad et al., 2008</xref>; <xref ref-type="bibr" rid="ref185">Savelli et al., 2008</xref>), border-vector cells (<xref ref-type="bibr" rid="ref15">Barry et al., 2006</xref>), and conjunctive cells (<xref ref-type="bibr" rid="ref181">Sargolini et al., 2006</xref>), which encode the combination of the head-direction and the place information. Place cells are located in the CA1, CA2, and CA3 areas of the hippocampus and are activated when the animal traverses an allocentrically defined location (<xref ref-type="bibr" rid="ref150">O&#x2019;Keefe, 1976</xref>), regardless of the direction and time of transit. Furthermore, place cells are tuned to distances relative to the environmental boundaries, rather than to local cues attached to the place. Additionally, these cells integrate self-motion information via neuronal input from the entorhinal cortex, which updates the navigator&#x2019;s perceived location (<xref ref-type="bibr" rid="ref23">Bird and Burgess, 2008</xref>). Hippocampus may play a key role in PI as well (<xref ref-type="bibr" rid="ref21">Bicanski and Burgess, 2020</xref>). In contrast, grid cells of the medial entorhinal cortex show allocentric activity in multiple locations that define a uniform equidistant triangular grid that forms a hexagonal tessellation pattern (<xref ref-type="bibr" rid="ref77">Hafting et al., 2005</xref>). According to <xref ref-type="bibr" rid="ref222">Wolbers and Wiener (2014)</xref>, these grid cells may also play a role in PI. They contribute to the construction of a viewpoint-independent frame of reference. The head-direction cells in the subiculum, the striatum, and the thalamus complement the role of place cells and grid cells, all of which were originally described in rodents. The head-direction cells encode the angle of the head relative to an allocentric radial coordinate system regardless of the orientation of the body. These three cell types collectively provide the fundamental components of spatial navigation (<xref ref-type="bibr" rid="ref77">Hafting et al., 2005</xref>).</p>
<p>Place cells, grid cells and head direction cells are considered to be part of the allocentric system. They are activated by the individual being at that location or, crossing that location or heading in that direction. However, a subset of place cells respond to other individuals being at the specific location. These so called &#x201C;social place cells&#x201D; may play an important role in dissociating the egocentric frame of references from allocentric during the cognitive development in children that enables them to solve the false belief tasks in the context of &#x201C;theory-of-mind&#x201D; (see in 5.1 below) (<xref ref-type="bibr" rid="ref153">Omer et al., 2018</xref>; <xref ref-type="bibr" rid="ref51">Danjo et al., 2018</xref>).</p>
<p>If these cell types contribute to spatial navigation and represent a significant volume of the mesial temporal lobe, one might expect adaptative changes in morphology. In their seminal study, <xref ref-type="bibr" rid="ref122">Maguire et al. (2000)</xref> studied the role of such adaptation to the environment in a navigation experiment with the participation of London taxi drivers and showed that they demonstrated structural enhancement in the posterior and anterior areas of the hippocampus by using MRI which was explained with their profession. The alteration of the grey matter of the hippocampus correlated with the years of experience. Although later studies (<xref ref-type="bibr" rid="ref219">Weisberg et al., 2019</xref>; <xref ref-type="bibr" rid="ref218">Weisberg and Ekstrom, 2021</xref>) indicate that the relationship between hippocampal volume and navigational behavior is only confirmed in extreme cases, such as dementia or expert navigators like taxi drivers. In normal cases, this brain plasticity does not cause significant structural changes that would appear in brain volume. Alternatively, the neuronal changes accompanying navigational behavior are not so much due to changes in hippocampal volume, but rather to the reconfiguration of vascular and ganglionic resources in response to environmental changes.</p>
<p>Finally, to conclude the neuroanatomy section, we elaborate briefly a relevant model and a framework helping to elucidate the neural basis of spatial memory. According to a model by <xref ref-type="bibr" rid="ref34">Byrne et al. (2007)</xref> (also referred to as the BBB model), events are stored alongside spatial context, and this spatial context plays a fundamental role in both encoding and retrieval processes. The hippocampus and parahippocampal cortex create allocentric maps that encode spatial context, such as landmarks, distances, and directions. For example, a memory of an event includes the geometry of the room where the event occurred. During retrieval, this contextual spatial information is reconstructed through pattern completion, a process that fills in missing details. Based on the BBB model, spatial memory and visual imagination share a common neurological background. <xref ref-type="bibr" rid="ref34">Byrne et al. (2007)</xref> explain the navigation process as follows: the hippocampus enables the retrieval of the allocentric map (<xref ref-type="bibr" rid="ref34">Byrne et al., 2007</xref>), the parietal cortex transforms these into egocentric information (<xref ref-type="bibr" rid="ref28">Burgess, 2006</xref>) and the prefrontal cortex simulates mental navigation (<xref ref-type="bibr" rid="ref3">Addis et al., 2007</xref>).</p>
<p><xref ref-type="bibr" rid="ref107">Kravitz et al. (2011)</xref> challenged the previous models of visual processing pathways in the brain, traditionally divided into a ventral stream or &#x201C;what&#x201D; processing, and a dorsal stream or &#x201C;where&#x201D; processing (<xref ref-type="bibr" rid="ref208">Ungerleider and Mishkin, 1982</xref>), providing a novel neural framework for visuospatial processing. Although the distinction of cortical visual processing into discrete dorsal and ventral streams has served as one of the fundamental frameworks within the field of visual neuroscience, it was not clear how the information conveyed by these two separated systems merges into the coherent visual percept. The team identified three distinct pathways branching out from the dorsal stream, i.e., projections to the prefrontal and premotor cortices and to the medial temporal lobe that support both conscious and non-conscious visuospatial processing, including navigation, visually guided actions, and spatial working memory (<xref ref-type="bibr" rid="ref107">Kravitz et al., 2011</xref>). In their review, <xref ref-type="bibr" rid="ref107">Kravitz et al. (2011)</xref> also suggested that, since both the ventral stream and the parietal temporal pathways project to MTL (<xref ref-type="bibr" rid="ref132">Mishkin et al., 1997</xref>), the major point of perceptual integration likely occurs in the hippocampus. Within the proposed neural framework, it was assumed that the ventral stream supplies the parahippocampal cortex with the information necessary for representing landmarks, while the parietal-medial temporal pathway provides information about the spatial context that is essential for navigational purposes (<xref ref-type="bibr" rid="ref107">Kravitz et al., 2011</xref>).</p>
</sec>
<sec id="sec4">
<label>4</label>
<title>The measurements of the spatial navigation ability</title>
<p>According to the summary of <xref ref-type="bibr" rid="ref100">Klencklen et al. (2012)</xref> and <xref ref-type="bibr" rid="ref168">Pullano and Foti (2022)</xref>, there are copious methods available to quantify spatial navigation, which can be classified based on different dimensions. Route&#x2002;knowledge, spatial memory, spatial manipulation, and spatial working memory can be explored according to the navigation process. We can distinguish according to the type of environment, investigating real or physical and virtual spaces. Based on these reviews, when selecting navigational measurement tools, it is important to identify the size of the space being studied. There are small spaces, which are up to room-sized, reaching space, which enables manipulation within arm&#x2019;s length, and large-scale spaces. <xref ref-type="bibr" rid="ref138">Montello (1993)</xref> defined four types of space according to their size: figural, vista, environmental, and geographical. Here, we have adopted Montello&#x2019;s suggestion that figural and geographical spaces are either too small or too large to be discussed in detail from a navigation perspective. As <xref ref-type="bibr" rid="ref222">Wolbers and Wiener (2014)</xref> pointed out, the distinction between vista space and environmental space is relevant to navigation. Vista spaces (e.g., rooms, gardens) can be visually perceived from a single vantage point without significant changes in position. Environmental spaces enroll buildings, neighborhoods, and cities, which can be conceived through locomotion. We use different components of egocentric navigation in these varying sizes and complexities of spaces. In vista spaces, a single response learning is sufficient, whereas in environmental space, associative elements are also important for egocentric navigation, such as turning right at a certain landmark. The execution of these elements takes longer than a single motor response in a vista space (<xref ref-type="bibr" rid="ref222">Wolbers and Wiener, 2014</xref>).</p>
<p>Numerous spatial tasks have been developed to test allocentric reference frames. One is the Triangle Completion Task (<xref ref-type="bibr" rid="ref115">Loomis et al., 1993</xref>), which is a typical device for measuring PI (<xref ref-type="bibr" rid="ref37">Chrastil and Warren, 2008</xref>). Allocentric information processing can also be measured by map construction tasks and map-based positioning tasks (<xref ref-type="bibr" rid="ref100">Klencklen et al., 2012</xref>). However, maps do not exclusively require allocentric references and can also be solved using egocentric strategies (e.g., <xref ref-type="bibr" rid="ref134">Mittelstaedt and Mittelstaedt, 1982</xref>; <xref ref-type="bibr" rid="ref18">Bennett, 1996</xref>) &#x2013; a distinction we elaborate on in a later paragraph.</p>
<p>Another is the Morris Water Maze task (MWM) (<xref ref-type="bibr" rid="ref140">Morris et al., 1982</xref>), which became the most widely used tool to test spatial learning and the role of external cues in allocentric spatial navigation (<xref ref-type="bibr" rid="ref100">Klencklen et al., 2012</xref>). This experimental setup can easily be replicated in virtual reality since the environment can flexibly be updated by software without the participant changing his/her real physical position. As a result, VR introduces a conflict between egocentric and allocentric cues by updating the allocentric while leaving the egocentric cues (such as proprioception) unchanged. This conflict between the allocentric and egocentric strategies in virtual environments complicates the interpretation of results (<xref ref-type="bibr" rid="ref135">Moffat, 2009</xref>; <xref ref-type="bibr" rid="ref57">Diersch and Wolbers, 2019</xref>). Another concern with the MWM task was presented by <xref ref-type="bibr" rid="ref222">Wolbers and Wiener (2014)</xref> and <xref ref-type="bibr" rid="ref29">Burgess et al. (2002)</xref>. They argued that the MWM can be solved by computing the allocentric vectors between the outer landmarks and the platform. Specifically, the navigation in the maze does not require the organism to know its own location, which can be calculated based on the landmarks. Likewise, the various split maze tasks (e.g., T-maze, Y-maze) are also affected by the lack of self-location (<xref ref-type="bibr" rid="ref222">Wolbers and Wiener, 2014</xref>).</p>
<sec id="sec5">
<label>4.1</label>
<title>Methodological and conceptual problems in the research of spatial navigation</title>
<p>At this point, we wish to highlight two key inconsistencies in the literature concerning path integration (PI), which may partly account for the contradicting findings regarding age-related changes in spatial cognition. One such inconsistency involves the frequent conflation of PI with the use of allocentric reference frames. This reflects a broader methodological issue present in many spatial navigation tasks that include visual cues: the position of the target relative to the navigator can often be computed using solely egocentric information derived from these cues (<xref ref-type="bibr" rid="ref222">Wolbers and Wiener, 2014</xref>; <xref ref-type="bibr" rid="ref123">Markus et al., 1995</xref>; <xref ref-type="bibr" rid="ref29">Burgess et al., 2002</xref>). Although these tasks are designed to engage allocentric reference frames, they can often be solved using egocentric strategies. We explore this issue in greater detail in the following section. Another inconsistency lies in the assumption that the cognitive map is a direct product of path integration (PI). It is often suggested in the literature that tasks requiring PI inherently lead to the formation of a cognitive map (<xref ref-type="bibr" rid="ref179">Samsonovich and McNaughton, 1997</xref>; <xref ref-type="bibr" rid="ref88">Jayakumar et al., 2019</xref>; <xref ref-type="bibr" rid="ref63">Etienne and Jeffery, 2004</xref>; <xref ref-type="bibr" rid="ref125">McNaughton et al., 1996</xref>; <xref ref-type="bibr" rid="ref150">O&#x2019;Keefe, 1976</xref>; <xref ref-type="bibr" rid="ref172">Redish and Touretzky, 1997</xref>). Indeed, several computational models of the hippocampus are based on the premise that it functions as a path integrator (<xref ref-type="bibr" rid="ref127">McNaughton et al., 1991</xref>). However, this interpretation blurs the conceptual boundary between PI and the use of allocentric reference frames. <xref ref-type="bibr" rid="ref184">Savelli and Knierim (2019)</xref> have explicitly addressed the need to disentangle these constructs. Moreover, earlier empirical studies have questioned the necessity of allocentric representations for successful path integration (<xref ref-type="bibr" rid="ref73">Gothard et al., 2001</xref>; <xref ref-type="bibr" rid="ref182">Save et al., 1998</xref>), suggesting that PI can operate independently of a cognitive map or global spatial framework.</p>
<sec id="sec6">
<label>4.1.1</label>
<title>Critic of path integration implying allocentric frame of reference</title>
<p>This paragraph concerns the confusing relationship between PI and allocentric frame of reference. It is agreed that PI primarily relies on idiothetic (self-motion) signals deriving from vestibular, proprioceptive, visual flow, and motor sources (<xref ref-type="bibr" rid="ref33">Buzs&#x00E1;ki and Moser, 2013</xref>; <xref ref-type="bibr" rid="ref63">Etienne and Jeffery, 2004</xref>; <xref ref-type="bibr" rid="ref171">Redish, 1999</xref>). More recently, human studies added optic flow to the egocentric cues (<xref ref-type="bibr" rid="ref22">Bierbrauer et al., 2020</xref>; <xref ref-type="bibr" rid="ref80">Howett et al., 2019</xref>), and studies on congenitally blind people reinforced the predominance of egocentric cues in PI (<xref ref-type="bibr" rid="ref46">Corazzini et al., 2010</xref>). While PI is defined relative to egocentrically defined targets, it can contribute to the construction of allocentric maps. However, that contribution is still hypothetical. Several models have attempted to relate PI to grid cell activity (<xref ref-type="bibr" rid="ref126">McNaughton et al., 2006</xref>; <xref ref-type="bibr" rid="ref65">Fiete et al., 2008</xref>; <xref ref-type="bibr" rid="ref72">Gil et al., 2018</xref>; <xref ref-type="bibr" rid="ref31">Bush et al., 2015</xref>). Because grid cells provide an allocentric coordinate system for spatial navigation, they naturally impose an allocentric frame of reference on PI. This generated a conceptual drift of PI from egocentric to allocentric navigation that led to the tacit assumption that PI involves an allocentric frame of reference.</p>
<p>One way to reconcile the inconsistent relationship between PI and reference frames is to assume that while PI primarily derives from idiothetic cues, it can also operate on both egocentric and allocentric reference frames. Given the allocentric coordinates of the agent and targets, PI can compute shortcuts based on allocentric cues, but that is different from egocentric PI, even though the outcomes are the same. At this point, however, we do not know if allocentric PI is necessary for allocentric navigation on cognitive maps. Until this link between PI and allocentric representations is empirically proven, PI should not be considered as a primary attribute of allocentric navigation because it can be computed relative to egocentric reference frames. Therefore, it is a mistake to infer an allocentric map and, furthermore, a cognitive map from PI as we often see it in the literature (for instance: <xref ref-type="bibr" rid="ref129">Menzel et al., 2005</xref>; <xref ref-type="bibr" rid="ref24">Blaser et al., 2013</xref>; <xref ref-type="bibr" rid="ref215">Wang, 2016</xref>). To illustrate this, let us take a closer look at the issue in the context of egocentric and allocentric navigation.</p>
<p>Consider a task that involves PI in a circular arena to model the navigation scenarios under egocentric and allocentric conditions (<xref ref-type="fig" rid="fig1">Figure 1</xref>). For simplicity, we render the target cylinder visible. No matter where the navigator starts and what additional target it has to pass, the landmarks precisely define the shortest path between the origin and the target. Once the target position is acquired relative to the landmarks, the navigator is able to maintain its direction (bearing) toward the target during navigation. Let us look at the PI from an egocentric (first-person) point of view and an allocentric (bird-eye) point of view (<xref ref-type="fig" rid="fig1">Figures 1A</xref>&#x2013;<xref ref-type="fig" rid="fig1">C</xref>). The figure illustrates that despite the difference in angles and component vectors between the egocentric and allocentric projections, the resultant vector defines the shortest path between the start and goal equally precisely under the two conditions. Since PI can be solved by allocentric and egocentric navigation, as noted in other studies (e.g., <xref ref-type="bibr" rid="ref222">Wolbers and Wiener, 2014</xref>; <xref ref-type="bibr" rid="ref60">Ekstrom et al., 2014</xref>), it is not necessary to assume allocentric representation to explain it. The equivalence of the allocentric and egocentric vector summation is evident under such a static scenario, as depicted in <xref ref-type="fig" rid="fig1">Figures 1A</xref>,<xref ref-type="fig" rid="fig1">C</xref>. However, it gets more complicated when the observer, and likewise the viewpoint, is moving <xref ref-type="fig" rid="fig1">Figure 1B</xref>.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Equivalence of egocentric vs. allocentric path integration. Given a circular arena, an observer plans to approach a cylindrical shape object (goal) at the edge of the arena from a starting point (start) along two straight lines (a and b are marked by green and blue colors, respectively) with a <italic>&#x03B8;</italic>-degree turn between them. <bold>(A)</bold> The described movement is visually represented from an egocentric first-person point of view at start. Red arrow (r) represents the resultant vector <italic>r<sup>2</sup>&#x202F;=&#x202F;a<sup>2</sup>&#x202F;+&#x202F;b<sup>2</sup>&#x202F;+&#x202F;2ab cos&#x03B8;</italic>, where <italic>&#x03B8;</italic> denotes the angle between the two movement vectors (<italic>a</italic> and <italic>b</italic>) as they project on the observer&#x2019;s screen. <bold>(B)</bold> An updated view after moving the observer along the green path toward the turning point. As the viewpoint moves, the <italic>a, b,</italic> and <italic>r</italic> vectors change their length and <italic>&#x03B8;</italic> angle. <bold>(C)</bold> The same pathway is represented from a map-like allocentric point of view with path integration. While both egocentric <bold>(A,B)</bold> and allocentric <bold>(C)</bold> path integrations provide correct estimates of the goal coordinates within their coordinate systems, the length of vectors and their angles differ between reference frames. <bold>(D)</bold> The corresponding vector summation extracted from the different point of views. While the difference between projections of the same vector summation is discernable they all correctly estimate the shortcut between the objects.</p>
</caption>
<graphic xlink:href="fpsyg-16-1521487-g001.tif"/>
</fig>
<p>To disentangle the relationship between egocentric and allocentric reference frames with regard to PI during movement, we need to introduce two types of coordinate systems, Cartesian and polar (or spherical), and a class of transformations called homography.</p>
<p>A static point in the allocentric space is defined by its Cartesian coordinates x, y, and z. The same point in an egocentric coordinate system is described by three polar coordinates: radial distance <italic>r</italic> relative to the observer as origin, polar angle <italic>&#x03B8;</italic> relative to the z-axis, and azimuthal angle <italic>&#x03D5;</italic> in the xy-plane from the x-axis. Without motion, given the x, y and z coordinates of a point in 3D space, the equivalence of egocentric and allocentric reference frames with respect to PI is provided by the conversion between them.</p>
<p>To compute the radial distance <italic>d</italic>:</p>
<disp-formula id="E1">
<mml:math id="M1">
<mml:mi>d</mml:mi>
<mml:mo>=</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:msup>
<mml:mi>x</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:msup>
<mml:mi>y</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:msup>
<mml:mi>z</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:msqrt>
<mml:mo>,</mml:mo>
</mml:math>
</disp-formula>
<p>the polar angle <italic>&#x03B8;</italic> (Colatitude):</p>
<disp-formula id="E2">
<mml:math id="M2">
<mml:mi>&#x03B8;</mml:mi>
<mml:mo>=</mml:mo>
<mml:msup>
<mml:mo>cos</mml:mo>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo stretchy="true">(</mml:mo>
<mml:mfrac>
<mml:mi>z</mml:mi>
<mml:mi>r</mml:mi>
</mml:mfrac>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>,</mml:mo>
</mml:math>
</disp-formula>
<p>and azimuthal angle &#x03D5; (Longitude):</p>
<disp-formula id="E3">
<mml:math id="M3">
<mml:mi>&#x03D5;</mml:mi>
<mml:mo>=</mml:mo>
<mml:msup>
<mml:mo>tan</mml:mo>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo stretchy="true">(</mml:mo>
<mml:mfrac>
<mml:mi>y</mml:mi>
<mml:mi>x</mml:mi>
</mml:mfrac>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>.</mml:mo>
</mml:math>
</disp-formula>
<p>Modeling the PI in a moving coordinate system requires homography when the observer is moving or the object is moving or both. Homography is a projective transformation between two planes or a mapping between two planar projections of the same object(s). Homography can also be applied to recover the relative position of the observer when the observer or the observed objects are moving. Concerning the transformations between egocentric and allocentric reference frames, we need to distinguish two uses of homography: (i) one is to describe the relationship between two images of the same scene taken from different perspectives, and (ii) as a projective geometry that maps the original 3D scene represented in an orthogonal Cartesian space and transforms it to a 2D surface from the observer&#x2019;s viewpoint. While the first use case of homography can be solved by linear or affine transformations between egocentric polar coordinates (<xref ref-type="bibr" rid="ref20">Beusmans, 1993</xref>; <xref ref-type="bibr" rid="ref187">Schuchert and Scharr, 2009</xref>; <xref ref-type="bibr" rid="ref68">Fleet and Weiss, 2006</xref>), the second class involves fundamentally nonlinear transformations.</p>
<p>Regarding PI, computing shortcuts in allocentric space requires vector summation. The motion does not complicate this because it only involves updating the positions of the observer in the environment. Computing shortcuts in egocentric space during motion requires affine transformations between projections of the same object in the observer&#x2019;s polar coordinate system, which is also a simple matrix operation. This can be done without relating the projections to the 3D Cartesian coordinates of the objects, i.e., the structure of the world that generated it. Hence, solving the shortcut problem in navigation with PI does not require nonlinear transformation because we do not need to recover the original 3D cartesian coordinates of the objects, i.e., solving the inverse problem. In other words, the subject does not need to build an allocentric representation of objects to compute shortcuts.</p>
<p>Just because the two tasks of solving the inverse problem and updating the PI in egocentric coordinates during motion are mathematically independent does not mean they must be biologically independent, either. It is conceivable that a deep-learning-type multilayer neuronal network using a transformer can solve both problems at once.</p>
<p>In summary, (i) a vectorial sum of component vectors projecting to the retina representing an egocentric first-person viewpoint provides shortcuts to the target before moving, and (ii) that shortcut is equivalent to the solution obtained by vectorial summation of allocentric component vectors regarded from an abstract top-down or bird-eye view (<xref ref-type="fig" rid="fig1">Figure 1</xref>). Hence, computing the resultant vector r is the same in both allocentric and egocentric coordinate systems:</p>
<disp-formula id="E4">
<mml:math id="M4">
<mml:msup>
<mml:mi>r</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>=</mml:mo>
<mml:msup>
<mml:mi>a</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:msup>
<mml:mi>b</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="italic">ab</mml:mi>
<mml:mspace width="0.33em"/>
<mml:mo>cos</mml:mo>
<mml:mspace width="0.33em"/>
<mml:mi>&#x03B8;</mml:mi>
<mml:mo>,</mml:mo>
</mml:math>
</disp-formula>
<p>Where <italic>a</italic> and <italic>b</italic> are the lengths of the two-component vectors and <italic>&#x03B8;</italic> is the angle between them.</p>
<p>PI is generally agnostic to the sensory modality as long as the sensors inform about the target positions, such as binaural sound localization or odor localization based on the spatial gradient of odorant molecules. Nevertheless, different sensory inputs may contribute differentially to egocentric vs. allocentric reference frames. Since the pioneering work of <xref ref-type="bibr" rid="ref102">Knudsen and Konishi (1978)</xref>, we know that auditory space maps on the inferior colliculus of the owl provide an egocentric soundscape of the environment.</p>
<p>Vision conveys a primarily egocentric sensory input, and results show the performance decline in rodents when deprived of being able to look around (<xref ref-type="bibr" rid="ref11">Arolfo et al., 1994</xref>). Therefore, the contribution of visual egocentric cues to navigation is beyond doubt when available. The MWM task can also be solved by relying on visual matching (<xref ref-type="bibr" rid="ref123">Markus et al., 1995</xref>; <xref ref-type="bibr" rid="ref29">Burgess et al., 2002</xref>) with or without the allocentric frame of reference (<xref ref-type="bibr" rid="ref222">Wolbers and Wiener, 2014</xref>). Consistent with this notion, the MWM task can be solved by patients with hippocampal lesions, too (<xref ref-type="bibr" rid="ref192">Shrager et al., 2008</xref>), whose parietal or retrosplenial areas supporting the egocentric reference frames are intact.</p>
<p>In addition, concerning the MWM task, whether the task requires using a cognitive map or procedural learning is not well-defined (<xref ref-type="bibr" rid="ref11">Arolfo et al., 1994</xref>; <xref ref-type="bibr" rid="ref87">Iaria et al., 2003</xref>). The activation of the hippocampus is ambiguous during the platform search. On the other hand, in the case of hippocampal injury, the hippocampus is not necessary for PI since the PI can be solved by areas closer to the sensory areas, such as the retrosplenial cortex (<xref ref-type="bibr" rid="ref36">Chrastil et al., 2015</xref>). Instead, the hippocampus is implicated when the task involves memory to recall the location of the hidden platform and the former underwater navigation experience (<xref ref-type="bibr" rid="ref23">Bird and Burgess, 2008</xref>).</p>
<p>Despite all these methodological limitations, the literature generally references the MWM task as a suitable tool for measuring allocentric navigation (<xref ref-type="bibr" rid="ref222">Wolbers and Wiener, 2014</xref>; <xref ref-type="bibr" rid="ref135">Moffat, 2009</xref>).</p>
</sec>
<sec id="sec7">
<label>4.1.2</label>
<title>Critic of the shortcuts and the cognitive maps equivalence</title>
<p>The other misconception about spatial navigation dates back several decades to <xref ref-type="bibr" rid="ref204">Tolman (1948)</xref>. <xref ref-type="bibr" rid="ref204">Tolman (1948)</xref> interpreted the shortcuts in his experiment with the rodents as evidence of the cognitive map. <xref ref-type="bibr" rid="ref152">O'Keefe and Nadel (1978)</xref> also refer to the shortcuts as a cornerstone of the cognitive maps (<xref ref-type="bibr" rid="ref152">O'Keefe and Nadel, 1978</xref> pp. 68):</p>
<disp-quote>
<p>&#x201C;<xref ref-type="bibr" rid="ref9001">Peters (1973)</xref> has described hunting behavior in wolf-packs which, he feels, necessitates the use of the cognitive mapping concept. He cites three pieces of evidence: (1) wolves can take intentional shortcuts or detours; (2) packs can split up and re-group at some distant point, beyond the effective range of howling, such that some idea of distance and direction is required; (3) wolves can return to a rendezvous point where pups have been left <italic>from any direction.</italic> All this strongly implies a map-like organization of their psychological space. (&#x2026;)&#x201D;</p>
</disp-quote>
<p>Tolman&#x2019;s interpretation of shortcuts as a hallmark of &#x201C;cognitive maps&#x201D; had a large impact on advancing the field beyond behaviorism, especially among those who were seeking evidence of neuronal representations in the brain beyond conditioned reflexes. The idea of cognitive maps inspired new experiments, including the groundbreaking study by O&#x2019;Keefe and Nadel that led to the discovery of place cells, foundational for the entire field of spatial cognition. Retrospectively, it should not discount Tolman&#x2019;s merit that his experimental finding, in rigorous terms, did not prove the existence of the cognitive map, nor was it reproducible on human subjects (<xref ref-type="bibr" rid="ref220">Wilson and Wilson, 2018</xref>). The discovery of place cells was proof that neurons form abstract representations in the brain that could not be derived by transformation of sensory input but rather a derivative of aggregate experience. Unlike the invariances of colors, shapes, sizes, surface textures, or acoustic patterns extracted from sensory input, the invariances of locations are fundamentally different.</p>
<p>Since Tolman&#x2019;s experiment, the ability to take shortcuts has been proven in invertebrates (<xref ref-type="bibr" rid="ref74">Gould, 1986</xref>; <xref ref-type="bibr" rid="ref128">Menzel et al., 1998</xref>; <xref ref-type="bibr" rid="ref144">M&#x00FC;ller and Wehner, 1988</xref>). In the experiment of <xref ref-type="bibr" rid="ref129">Menzel et al. (2005)</xref>, honeybees were able to navigate relative to a landmark and find the shortest route to the hive. Owing to Tolman&#x2019;s inductive reasoning, the concept of cognitive maps was extended to insects despite the absence of the hippocampus, the key brain structure in mammals. Since Tolman, many other authors (<xref ref-type="bibr" rid="ref10">Arleo and Rondi-Reig, 2007</xref>; <xref ref-type="bibr" rid="ref100">Klencklen et al., 2012</xref>) consider shortcuts as evidence of the allocentric frame of reference and the cognitive map. Using PI for navigation has been reported on various classes of insects (<xref ref-type="bibr" rid="ref129">Menzel et al., 2005</xref>) and other invertebrates in general (<xref ref-type="bibr" rid="ref41">Collett, 2003</xref>), and amphibians (<xref ref-type="bibr" rid="ref67">Fischer et al., 2001</xref>) that they routinely use shortcuts during their navigation without the hippocampus. Whether these species rely on complex olfactory clues, proprioception, polarized light, and directional force fields, such as the earth&#x2019;s magnetic field, or a combination of all those is not always conclusive. According to <xref ref-type="bibr" rid="ref18">Bennett (1996)</xref>, experiments done on spatial navigation of various species claiming the prevalence of cognitive maps do not necessarily address the question of whether or not the tasks can be solved purely by PI. Moreover, these studies could not rule out that the shortcuts observed were computed based on PI without a cognitive map formation.</p>
<p>A recent study has found that insects use egocentric vectors stored in long-term memory to navigate that enable them to high-level navigation without a cognitive map (<xref ref-type="bibr" rid="ref158">Patel et al., 2024</xref>). <xref ref-type="bibr" rid="ref49">Cruse and Wehner (2011)</xref> modeled the map-like behavior of the insects using an artificial neuronal network. According to their results, the former outcomes of the insect&#x2019;s experiments can be explained by PI and route knowledge without assuming a coherent 2D map. Likewise, combined experimental, anatomical, and modeling studies revealed that the central complex in the insect nervous system implements PI by an elegant circuitry (<xref ref-type="bibr" rid="ref198">Stone et al., 2017</xref>). According to their model, the inputs from compass neurons utilizing polarized-light and speed-encoding neurons relying on optic-flow converging on the central complex neurons enable ring-attractor dynamics, which can explain the remarkable precision of PI and enable reliable navigation.</p>
<p>The critical review of this body of literature raises two important questions: is the hippocampus necessary for the formation of a cognitive map? Also, are cognitive maps necessarily allocentric? Regarding the first question, insect studies suggest the hippocampus is not necessary (<xref ref-type="bibr" rid="ref129">Menzel et al., 2005</xref>; <xref ref-type="bibr" rid="ref49">Cruse and Wehner, 2011</xref>), but rodent studies argue otherwise (<xref ref-type="bibr" rid="ref152">O'Keefe and Nadel, 1978</xref>). While the association between the hippocampus and cognitive map formation is predominant, the dependency of cognitive maps on the hippocampus was called into question (<xref ref-type="bibr" rid="ref59">Eichenbaum, 2017</xref>; <xref ref-type="bibr" rid="ref192">Shrager et al., 2008</xref>).</p>
<p>This contradiction can be solved by considering that although PI may lead to shortcuts, it does not imply using an allocentric reference frame or depending on a cognitive map. It is conceivable that PI with, its most basic function, such as leaving the nest and returning, is sufficient for numerous solutions of shortcut-like behavior (<xref ref-type="bibr" rid="ref134">Mittelstaedt and Mittelstaedt, 1982</xref>).</p>
<p>The dissociation between shortcut-behavior and cognitive-map-based navigation is also evident in human spatial memory. A series of studies (e.g., <xref ref-type="bibr" rid="ref203">Teng and Squire, 1999</xref>) demonstrated this distinction by testing patients with bilateral medial temporal lobe lesions&#x2014;including the hippocampus and hippocampal-entorhinal cortex&#x2014;alongside healthy controls (<xref ref-type="bibr" rid="ref192">Shrager et al., 2008</xref>). Participants were blindfolded and guided along a path, then asked to either point to or return to the starting location. Remarkably, patients with hippocampal damage performed comparably to controls on self-localization and shortcut tasks, as long as no long-term memory component was involved. However, when a delay and distractors were introduced before the test phase, patients exhibited significant impairments in path integration (PI) and self-localization. These findings suggest that the parietal lobe, which supports egocentric multimodal spatial representations, is sufficient for immediate PI in the absence of hippocampal function (<xref ref-type="bibr" rid="ref63">Etienne and Jeffery, 2004</xref>; <xref ref-type="bibr" rid="ref131">Mesulam, 1981</xref>; <xref ref-type="bibr" rid="ref183">Save and Moghaddam, 1996</xref>). This contrasts with rodent models, in which both immediate and memory-dependent shortcuts depend on the integrity of the medial temporal lobe (<xref ref-type="bibr" rid="ref97">Kim et al., 2013</xref>). Anatomically, this aligns with the proposed division between egocentric and allocentric PI: the former being primarily supported by the parietal cortex and the latter by the hippocampal&#x2013;entorhinal system (<xref ref-type="bibr" rid="ref96">Kim et al., 2015</xref>).</p>
<p>Regarding cognitive maps, it is important to note that the pointing task did not explicitly require participants to construct or visualize a cognitive map; subjects were not instructed to draw or conceptualize spatial layouts. Moreover, successful shortcut performance did not appear to depend on cognitive map-based navigation, nor did cognitive map formation depend on shortcuts and PI. However, the spatial memory component of the task strongly depended on the integrity of the medial temporal lobe. The fact that the hippocampus-dependent memory performance became resistant to distraction over time suggests that the cumulative process of consolidating the memory of paths leading to the target is dependent on the hippocampus and entorhinal cortex. These findings lend further support to the foundational hypothesis proposed by <xref ref-type="bibr" rid="ref152">O'Keefe and Nadel (1978)</xref>, which posits that the neural mechanisms underlying the construction of cognitive maps are defining features of the medial temporal lobe, particularly the hippocampal&#x2013;entorhinal system in the mammalian brain (<xref ref-type="bibr" rid="ref152">O'Keefe and Nadel, 1978</xref>).</p>
</sec>
<sec id="sec8">
<label>4.1.3</label>
<title>Fundamental notions and conceptual confusion</title>
<p>In addition to the methodological problems, the inconsistent use of the basic concepts may also contribute the conceptual confusion (<xref ref-type="bibr" rid="ref69">Foley et al., 2015</xref>). <xref ref-type="bibr" rid="ref75">Grush (2000)</xref> draws attention to the heterogeneity of the context in which the concept of allocentric is used. Sometimes, the literature uses the allocentric notion for egocentric situations in which we localize an object relative to other objects, but the localization relies on the difference in angle relative to the observer. Hence, it is egocentric. In this case, we should not use the term &#x201C;allocentric reference.&#x201D; There are many correct versions, too. For instance, when a viewpoint-independent object is at the center of the reference. Also, when the point of view is neutral, such as in the case of bird&#x2019;s eye perspective and maps. Adding to the confusion, allocentric reference frame in philosophy, is also associated with the &#x201C;view from nowhere,&#x201D; reflecting the idea that subjectivity cannot be entirely removed from any perspective. The term <italic>nemocentric</italic> is sometimes used to denote true neutrality in this context. The author argues that objective representation is less about the absence of a specific point of view and more about the ability to adopt &#x201C;any&#x201D; possible point of view. He further refines the concept of &#x201C;any&#x201D; to refer to the ability to take on some possible point of view, linking the criterion of objectivity to the observer&#x2019;s capacity to perceive independently of their own current perspective. This suggests that our ability to engage with alternative allocentric perspectives ensures that everything within the egocentric space remains accessible from different points of view (<xref ref-type="bibr" rid="ref75">Grush, 2000</xref>).</p>
<p>In our definition, allocentric means the viewpoint-independent coordinates of an object. In other words, it is a coordinate system that allows virtual viewpoints to disengage from the observer&#x2019;s own perspective. As a result, maps require an allocentric strategy, except for the bird-eye perspective, which permits to rely on either egocentric or allocentric reference frames. In order to distinguish between these two scenarios, we have to consider the sensory and motor aspects of the navigation. Switching the viewpoint from egocentric to allocentric does not necessarily change the reference to movement control. Consider computer games in which the player controls the avatar visually from a bird-eye perspective. The movement control of the avatar can be mapped egocentrically or allocentrically. In the egocentric case, when the player hits the &#x2018;right&#x2019; key, the environment rotates clockwise, and the avatar will turn to the left relative to its body axis or, alternatively, the environment rotates anti-clockwise, and the avatar will turn to the right, depending on the game implementation. In contrast, in the allocentric control, the avatar, after hitting the &#x2018;right&#x2019; key, will move toward the eastern edge of the screen (<xref ref-type="bibr" rid="ref205">T&#x00F6;r&#x00F6;k et al., 2014</xref>).</p>
<p>The question arises: if the allocentric representation requires so many transformations, what is the advantage of it? Switching to allocentric reference pays off in keeping track of the motion of the body. We posit, it is much easier to update the 2 or 3 coordinates of the position in a 2 or 3-D coordinate system fixed to the exterior environment than updating the optic flow (the sequence of views) during motion; each frame of the optic flow is obtained from an egocentric viewpoint while moving. Using an allocentric reference, we have to store the X, Y, and Z coordinates only to reconstruct the route, while in the egocentric frame of reference, we have to store a stack of 2D images to reproduce the optic flow as every pixel of those images changes with the agent&#x2019;s position. A similar argument was put forward by <xref ref-type="bibr" rid="ref222">Wolbers and Wiener (2014)</xref>.</p>
<p>So far, we reviewed the diversity of theoretical and methodological approaches related to the complexity of spatial navigation. Considering the time course of ontogenetic development of navigation from the egocentric PI to a full-fledged cognitive map will clarify the terminology. Among the multiple developmental scenarios, it is conceivable that there is a specific human scenario for the development of spatial concepts. To draw the trajectory of the development of spatial concepts, we review the literature on the cognitive development of spatial concepts in the following paragraphs.</p>
</sec>
</sec>
</sec>
<sec id="sec9">
<label>5</label>
<title>The spatial navigation ability of children</title>
<p>Spatial navigation requires multiple cognitive abilities, and it has a special developmental course from childhood to the elderly (<xref ref-type="bibr" rid="ref135">Moffat, 2009</xref>; <xref ref-type="bibr" rid="ref27">Bullens et al., 2010</xref>; <xref ref-type="bibr" rid="ref112">Lester et al., 2017</xref>). We emphasize the role of the sensory input in the development of the navigation. For instance, visual inputs dominate human spatial navigation. A fully developed 3-dimensional vision enables the precise evaluation of the orientation and distance of a spatial reference point. In addition, the development of the visual system determines the availability of reference frames, and reference frames define the developmental milestones. It has been demonstrated that congenitally blind people have difficulty in allocentric navigation, especially at a larger scale environment requiring locomotion (<xref ref-type="bibr" rid="ref84">Iachini et al., 2014</xref>) and the deficit in the shift from egocentric to allocentric representations (<xref ref-type="bibr" rid="ref178">Ruggiero et al., 2018</xref>).</p>
<p>Despite the wealth of data collected in the context of children&#x2019;s spatial cognition, many questions remained open (<xref ref-type="bibr" rid="ref27">Bullens et al., 2010</xref>). <xref ref-type="bibr" rid="ref162">Piaget and Inhelder (1956)</xref> proposed the model that egocentric reference frames predate allocentric before the age of seven. The initial preference for egocentric orientation is supported by extensive research (<xref ref-type="bibr" rid="ref82">Huttenlocher and Presson, 1973</xref>; <xref ref-type="bibr" rid="ref1">Acredolo, 1978</xref>; <xref ref-type="bibr" rid="ref174">Rieser, 1979</xref>; <xref ref-type="bibr" rid="ref210">van den Brink and Janzen, 2013</xref>; <xref ref-type="bibr" rid="ref27">Bullens et al., 2010</xref>; <xref ref-type="bibr" rid="ref216">Wang and Spelke, 2002</xref>; <xref ref-type="bibr" rid="ref213">Vasilyeva and Lourenco, 2012</xref>; <xref ref-type="bibr" rid="ref64">Fernandez-Baizan et al., 2021</xref>). According to this approach, viewpoint-independent strategies require matured spatial cognition. However, studies disagree on the onset time of allocentric reference frames, and several authors localize the use of allocentric strategies in time much earlier than Piaget (e.g., <xref ref-type="bibr" rid="ref2">Acredolo, 1990</xref>; <xref ref-type="bibr" rid="ref174">Rieser, 1979</xref>; <xref ref-type="bibr" rid="ref27">Bullens et al., 2010</xref>). However, in many cases the early &#x2018;allocentric data&#x2019; derives from navigation experiments orienting relative to landmarks. Contrary to this model, children are able to use primordial-allocentric representations at birth, but at a certain age and under experimental conditions, they prefer egocentric representations (<xref ref-type="bibr" rid="ref110">Landau and Spelke, 1984</xref>; <xref ref-type="bibr" rid="ref93">Kaufman and Needham, 1999</xref>; <xref ref-type="bibr" rid="ref148">Newcombe, 2019</xref>). In an experiment by <xref ref-type="bibr" rid="ref93">Kaufman and Needham (1999)</xref>, 6-and-a-half-month-old children were able to encode the spatial changes allocentrically without the help of landmarks if the task was cognitively not challenging. This dishabituation task tested their ability to track the relative position of a goal-object. The egocentric preference may reflect the limitation of immature executive functions and is further dependent on the development of the hippocampus. The theory postulates that the predominance of the egocentric perspective is caused by children&#x2019;s immature executive function, which makes them unable to handle competitive body-centered and environment-centered representations (<xref ref-type="bibr" rid="ref145">Nardini et al., 2006</xref>). <xref ref-type="bibr" rid="ref146">Nardini et al. (2009)</xref> raise another important question: whether children who correctly solve allocentric tasks also acquire comprehensive spatial knowledge, which a mental map requires, or if it merely involves mental operations that allow participants to adopt an independent viewpoint.</p>
<p>According to results using virtual reality implementation of spatial navigation, children at the age of 5 can navigate virtual Star Maze environments (which utilize visual cues similar to those in the MWM) that require both egocentric and allocentric strategies, but they only achieve the level equivalent to adults at the age of 10 (<xref ref-type="bibr" rid="ref27">Bullens et al., 2010</xref>). <xref ref-type="bibr" rid="ref146">Nardini et al. (2009)</xref> reported a similar result in a series of experiments conducted in a real-world environment, where visual cues and path integration information from movement were excluded as potential aids for allocentric strategies. While 4-year-olds were more efficient in egocentric viewpoint-dependent navigation, the ability to use allocentric landmarks was also apparent at this age. Similarly, 5-year-olds were found to be alternating between different strategies, but they only become confident in allocentric navigation and can decode their environment&#x2019;s spatial structure by the age of 6&#x2013;8. <xref ref-type="bibr" rid="ref212">Van Hoogmoed et al. (2022)</xref> suggest that allocentric navigation based on proximal landmarks develops between the ages of 5 and 8 and becomes increasingly accurate. Their virtual-navigation task enabled both egocentric (based on viewpoint matching and self-motion) and allocentric navigation via the rotation of the environment. Also, the landmarks gave positional or directional information to achieve the desired goal. The authors attempted to control for egocentric processing, which might aid children&#x2019;s performance while making the task more challenging than in reorientation situations, which even children younger than five years can successfully solve. <xref ref-type="bibr" rid="ref148">Newcombe (2019)</xref> assumes that children, even before the age of 2, use allocentric information in space (beacons, proximal and distal landmarks, boundaries) through their inertial navigation system. This ability then continuously develops until the age of 10, when it reaches the capacity to think relative to reference frames other than their own perspective.</p>
<p>According to a systematic review (<xref ref-type="bibr" rid="ref64">Fernandez-Baizan et al., 2021</xref>), an early form of the allocentric strategy using coincident landmarks is apparent during the first year of life, yet children only become confident at the age of 6, and navigation performance continues to improve. This study defined allocentric navigation based on alignment to an external landmark. Based on using an anticipation paradigm conducted with infants in a room-size environment, <xref ref-type="bibr" rid="ref2">Acredolo (1990)</xref> suggests that egocentric navigation dominated during the first 6&#x202F;months, but this reference becomes less effective with the beginning of self-initiated locomotion of the infants. Around 11&#x202F;months, this egocentrism can be overridden, but the spatial orientation still depends on the availability of landmarks in the environment for a significant portion of 16-month-old children, too. In the absence of landmarks, children at 6 to 11&#x202F;months old switch back to an egocentric reference frame. The switching between egocentric and allocentric can be avoided, and all these findings can seamlessly be integrated with the trend of &#x2018;egocentric first and allocentric later&#x2019; if we acknowledge that landmarks enabling PI are still part of the egocentric system, not allocentric.</p>
<p><xref ref-type="bibr" rid="ref145">Nardini et al. (2006)</xref> identified 3 types of reference frames in their study: 1. egocentric (body-centered) frame of reference: children orient in relation to their own bodies. This frame is useful when the body position remains constant between storage and recall. 2. environmental (room-centered) frame of reference: children orient themselves in relation to the fixed features of the room, such as the walls or furniture of the room. This includes egocentric information based on movement and an allocentric representation of space relative to landmarks. 3. internal (layout-centered) frame of reference: children orient to internal features of the layout, such as the relative positions of objects. The authors consider this to be a true viewpoint-independent representation. They claim that for 3-year-olds, the environmental reference predominates the egocentric, body-centered reference frame. In their experiment, the location of the test board in relation to the room characteristics influenced the youngest children&#x2019;s responses more strongly than the location in relation to their own bodies. One explanation for this may be that 3-year-old children are able to mentally flip from the current view of the layout to a different view. However, <xref ref-type="bibr" rid="ref145">Nardini et al. (2006)</xref> suggest that the children encode each location on an internal map that allows them to recall it from other perspectives. The viewpoint-independent layout-centered reference frame encompassing internal features of the spatial configurations develops only by the age of 5. Based on these facts, one could argue that there are multiple frames of reference that coexist between the ages of 3 and 5. This result is also consistent with the egocentric concept of PI because it enables the use of PI parallel in multiple sensory systems and combine their output based on egocentric motion-based and visual landmark-based reference frames within egocentric frameworks. The transition between egocentric and allocentric reference frames between the ages of 3 and 5 may be facilitated by external landmarks becoming increasingly reliable beacons relative to imprecise kinesthetic body-centered cues due to surplus visual information. However, visual tracking of multiple target objects in egocentric coordinates during the child&#x2019;s movement may render the task too complex relative to the simplicity of tracking the navigator&#x2019;s position relative to the static targets in an allocentric reference frame (<xref ref-type="bibr" rid="ref145">Nardini et al., 2006</xref>; <xref ref-type="bibr" rid="ref40">Clearfield, 2004</xref>).</p>
<p>The assumption that the egocentric spatial orientation develops earlier than the allocentric is supported by several neurophysiological findings, too. The sensory organ&#x2019;s primary projection in the cerebral cortex reflects the sensory organ&#x2019;s inherent coordinate system: the primary visual cortex is retinotopic, and the higher visual cortical areas are gaze-, head- and body-centered; hence they are all egocentric (<xref ref-type="bibr" rid="ref7">Andersen et al., 1993</xref>). Besides the visual, other sensory inputs, including the inner ear vestibular system, spatial auditory, and the proprioceptive system, are part of the list of idiothetic cues that inform us about the change of the environment relative to our body (<xref ref-type="bibr" rid="ref12">Asem and Fortin, 2017</xref>). Moreover, the frontal motor and somatosensory areas are also egocentric (<xref ref-type="bibr" rid="ref66">Filimon, 2015</xref>). The longer maturation window of the hippocampal structures may also explain why children acquire the skill of effective allocentric representation over time (<xref ref-type="bibr" rid="ref27">Bullens et al., 2010</xref>).</p>
<p>The confident use of the allocentric strategy may also relate to language development. <xref ref-type="bibr" rid="ref17">Bell (2002)</xref> demonstrated that the development of spatial abilities is closely related not only to cognitive skills but also to linguistic skills. However, in another experiment by <xref ref-type="bibr" rid="ref145">Nardini et al. (2006)</xref>, 5-year-olds performed consistently above chance in a viewpoint-independent recall task despite their less matured spatial language skills. <xref ref-type="bibr" rid="ref212">Van Hoogmoed et al. (2022)</xref> found that verbal working memory was independent of navigational performance, whereas visuo-spatial working memory was related to egocentric navigation. No such relationship was found with allocentric navigation.</p>
<p>It is likely that allocentric navigation is sensitive to the choice of external environmental factors in the given study and the familiarity of the task. For example, the previously presented experimental results were all conducted in spaces with different sizes (e.g., reaching spaces: <xref ref-type="bibr" rid="ref93">Kaufman and Needham (1999)</xref>; small spaces: <xref ref-type="bibr" rid="ref212">Van Hoogmoed et al. (2022)</xref>; <xref ref-type="bibr" rid="ref145">Nardini et al. (2006)</xref>; <xref ref-type="bibr" rid="ref2">Acredolo (1990)</xref>), different visual accessibility and visual characteristics (vista spaces: <xref ref-type="bibr" rid="ref146">Nardini et al. (2009)</xref>, environmental spaces: <xref ref-type="bibr" rid="ref27">Bullens et al. (2010)</xref>). Each of these factors can influence the reference frames used or preferred by the children (<xref ref-type="bibr" rid="ref113">Li and Gleitman, 2002</xref>; <xref ref-type="bibr" rid="ref222">Wolbers and Wiener, 2014</xref>). Among the factors rendering the interpretation of earlier experiments difficult is that children often had to suppress their own viewpoint by instruction, which imposed an enhanced cognitive load on the subjects and involved other cognitive components. Children have difficulties understanding the instruction, which requires them to adopt another viewpoint different from their own (<xref ref-type="bibr" rid="ref145">Nardini et al., 2006</xref>). In this respect, experiments done in 3-dimensional virtual spaces are preferred over 2-D because they require less mental transformation to understand the task. On the other hand, virtual 3D spaces can be challenging for children because they lack the auditory and proprioceptive aspects of real environments. Based on the expanding methodological landscape, virtual navigation became a promising tool for testing navigation abilities in the preschooler population as it enables them to develop spatial representations of the environment. In addition, it opens up new methodological opportunities in the study of spatial navigation (<xref ref-type="bibr" rid="ref70">Gabrielli et al., 2000</xref>).</p>
<sec id="sec10">
<label>5.1</label>
<title>The relationship of spatial navigation and the theory of mind</title>
<p>Whether the development of spatial navigation skills is independent of the maturation of other cognitive skills, and if not, then what the dependency between them is, has been a subject of long scientific discourse. <xref ref-type="bibr" rid="ref145">Nardini et al. (2006)</xref> drew attention to the possibility that the widely documented late developmental onset of the viewpoint-independent reference frame (<xref ref-type="bibr" rid="ref163">Piaget and Inhelder, 1967</xref>) can be explained by an extra task in those experiments: taking the viewpoint of someone else. Hence, the ability to switch reference frames may be contingent on the child&#x2019;s status in acquiring the Theory of Mind (TOM) to take someone else&#x2019;s perspective or vice versa. Therefore, the developmental milestones or deficits related to TOM may underlie the capacity for an earlier or later acquisition of allocentric reference frames. This seems to contradict the findings that children can reason about the mental states of others at a very early age. For example, <xref ref-type="bibr" rid="ref106">Kov&#x00E1;cs et al. (2010)</xref> presented that infants seem to be able to attribute goals and intentions to others at a very early age and to maintain their beliefs in the absence of the agent. This seems to be an earlier ability than the emergence of allocentric strategies (around the preschool ages). However, many scientists drew attention to the limitations of research with children at a very young age (<xref ref-type="bibr" rid="ref169">Rakoczy, 2012</xref>; <xref ref-type="bibr" rid="ref177">Ruffman and Perner, 2005</xref>; <xref ref-type="bibr" rid="ref9">Apperly and Butterfill, 2009</xref>; <xref ref-type="bibr" rid="ref165">Poulin-Dubois et al., 2018</xref>).</p>
<p>Regarding the relationship between TOM and perspective-taking, we can delineate two approaches in the literature. According to the one (<xref ref-type="bibr" rid="ref4">Aichhorn et al., 2006</xref>; <xref ref-type="bibr" rid="ref180">Santiesteban et al., 2015</xref>; <xref ref-type="bibr" rid="ref95">Keysar et al., 2003</xref>), TOM and visual perspective taking are somewhat or completely independent from one another. According to <xref ref-type="bibr" rid="ref4">Aichhorn et al. (2006)</xref>, our understanding of different reference frames relies only on certain aspects of TOM, e.g., on visual perspective taking, but it does not involve the behavior reasoning process as part of the typical TOM tests, such as the false-belief scenarios. In an experiment by <xref ref-type="bibr" rid="ref180">Santiesteban et al. (2015)</xref> involving perspective taking, a camera (as an inanimate object) appeared to be the equivalent of a living person, suggesting that there is no need to attribute mental representations to an object to change the visual perspective.</p>
<p>According to the other approach, TOM and perspective-taking are related. On the one hand, the development of TOM may include the ability of visuospatial perspective-taking and cognitive perspective-taking (<xref ref-type="bibr" rid="ref81">Howlin et al., 1999</xref>; <xref ref-type="bibr" rid="ref101">Kloo et al., 2021</xref>), while spatial perspective taking may also assume the ability of mentalization. <xref ref-type="bibr" rid="ref188">Schurz et al. (2013)</xref>, in their meta-analysis, found common brain activation for false belief reasoning and visual perspective taking in the left dorsal temporoparietal junction (TPJ). Because the typical developmental window of acquisition of TOM between the third and the fifth year overlaps with the special period of sudden improvement in spatial navigation, spatial perspective taking, and the maturation of cognitive operations required by mentalization may interact positively during the development.</p>
</sec>
</sec>
<sec id="sec11">
<label>6</label>
<title>The spatial navigation ability of the elderly</title>
<p>Due to morphological changes in the key brain structures (hippocampus, frontal areas, and the retrosplenial cortex), the spatial orientation accuracy of adults exceeds those of the children and elderly, and both children and adult age groups prefer the egocentric strategy (<xref ref-type="bibr" rid="ref168">Pullano and Foti, 2022</xref>). Although the egocentric preference and navigation skills are largely preserved with aging, spatial navigation in the elderly is increasingly dependent on the activity of the parietal lobe (i.e., precuneus, cuneus, inferior parietal lobe) (<xref ref-type="bibr" rid="ref211">van der Ham and Claessen, 2020</xref>). Interestingly, despite the sustained egocentric skills, PI in the egocentric domain also becomes progressively difficult for the elderly (<xref ref-type="bibr" rid="ref43">Colombo et al., 2017</xref>).</p>
<p>Elderly individuals often complain about spatial disorientation. According to research on the elderly, this sense of decline in orientation often transcends subjective experience (<xref ref-type="bibr" rid="ref30">Burns, 1999</xref>). The association between these subjective feelings and the progressive deterioration of spatial navigation has been confirmed (<xref ref-type="bibr" rid="ref157">Park et al., 2002</xref>; <xref ref-type="bibr" rid="ref135">Moffat, 2009</xref>; <xref ref-type="bibr" rid="ref71">Gazova et al., 2013</xref>; <xref ref-type="bibr" rid="ref43">Colombo et al., 2017</xref>). Older participants require more time than younger individuals to create a cognitive map of the environment and make more errors when relying on cognitive maps for orientation (<xref ref-type="bibr" rid="ref86">Iaria et al., 2009</xref>). Regarding gender differences in the age-related decline of spatial cognitive skills, <xref ref-type="bibr" rid="ref71">Gazova et al. (2013)</xref> found no significant effects on egocentric and allocentric navigation. The decline in spatial navigation ability of the elderly has also been demonstrated by using virtual reality (<xref ref-type="bibr" rid="ref137">Moffat and Resnick, 2002</xref>) as well as in real-world environments (<xref ref-type="bibr" rid="ref135">Moffat, 2009</xref>). However, the environmental properties may also influence wayfinding strategies (<xref ref-type="bibr" rid="ref54">Davis et al., 2023</xref>). <xref ref-type="bibr" rid="ref135">Moffat (2009)</xref> reviewed the results of several tasks conducted in various real-world environments and found the performance of older adults inferior to that of younger adults in MWM analog tasks, as well as in scene-recognition, distance-ranking, route-execution, and map-placement tasks (<xref ref-type="bibr" rid="ref98">Kirasic, 2000</xref>). While spatial abilities diminish across the lifespan, the visuospatial abilities underlying navigation performance in large-scale virtual environments appear independent of age (<xref ref-type="bibr" rid="ref143">Muffato et al., 2016</xref>).</p>
<p>Another study focused on the effect of familiarity with the environment on navigation. Although spatial navigation performance declines with age in egocentric-based direction judgment, individuals perform better in familiar environments. However, this familiarity has no positive effect on allocentric-based proximity judgment. The authors suggest that familiarity enhances the ability to localize objects using egocentric strategies (<xref ref-type="bibr" rid="ref130">Merriman et al., 2016</xref>).</p>
<p>Concerning neuroanatomy, a recent review by <xref ref-type="bibr" rid="ref211">van der Ham and Claessen (2020)</xref>, the mapping of brain areas involved in egocentric location knowledge is rather incomplete relative to that of the allocentric brain regions. In their systematic review, the measurements used by studies were categorized as follows: landmark tasks; localization tasks &#x2013; egocentric and allocentric (mainly MWM); path knowledge tasks &#x2013; route knowledge (e.g., route retracing) and survey knowledge (e.g., drawing a map). These domains relate to the following questions: What do we remember? Where do we localize? How do we get there? Their results showed that most research examines path recall, where age-related decline is observed in both route and survey cases. <xref ref-type="bibr" rid="ref71">Gazova et al. (2013)</xref> compared the performance of older and younger individuals using analog MWM and, similar to previous studies, found that allocentric navigation is sensitive to aging. Brain imaging also confirmed these results. <xref ref-type="bibr" rid="ref8">Antonova et al. (2009)</xref> showed decreased hippocampal and parahippocampal activity in elderly subjects relative to younger adults during a virtual version of the MWM. Beyond the methodological diversity of the studies, it can be stated that purely allocentric or egocentric navigation tasks are not available (<xref ref-type="bibr" rid="ref114">Li and King, 2019</xref>). Claims regarding age-related deterioration in allocentric abilities should be critically examined as we have previously argued that tasks such as the MWM and the Triangle Completion can also involve egocentric computations (e.g., <xref ref-type="bibr" rid="ref222">Wolbers and Wiener, 2014</xref>; <xref ref-type="bibr" rid="ref60">Ekstrom et al., 2014</xref>). Thus, it is possible that these tasks may not have the sensitivity to dissociate the effect of age on PI and allocentric navigation. Particularly challenging is to determine the predominant reference frame when examining navigation during active movement in space, which requires continuous switching between egocentric and allocentric strategies (<xref ref-type="bibr" rid="ref47">Coughlan et al., 2018</xref>; <xref ref-type="bibr" rid="ref211">van der Ham and Claessen, 2020</xref>).</p>
<p>The types of reference frames (egocentric vs. allocentric) being used by the elderly are relevant for a range of other spatial navigation skills (<xref ref-type="bibr" rid="ref100">Klencklen et al., 2012</xref>). For instance, the performance of the elderly in a spatial position recall task is just as good as that of younger adults as long as the task requires egocentric encoding (<xref ref-type="bibr" rid="ref166">Pouliot and Gagnon, 2005</xref>). Therefore, when we address the age-dependent decline of cognitive and perceptive processes, it is important to clarify the role of reference frames as well. Uncovering which reference frame is more effective for older adults across different perspectives or task types can provide useful information for setting up navigation tools, as this would enable them to support navigation more effectively (<xref ref-type="bibr" rid="ref217">Weisberg et al., 2024</xref>). Aside from the reference frames, elderly people with a decline in the allocentric navigation system may develop other strategies. For instance, analyzing body and gaze dynamics revealed a preference for geometry-based navigation in the elderly and landmark-based navigation in younger ones (<xref ref-type="bibr" rid="ref16">B&#x00E9;cu et al., 2020</xref>).</p>
<p>To understand the nature of the age-dependent changes in spatial navigation, besides the cognitive factors, one must consider the sensorimotor aspects, too. The question is to what extent the decreased navigation skills can be explained by the degradation of spatial representations and by decreased visuomotor functions. Older people appear to rely more on proprioceptive cues in a virtual environment than younger ones (<xref ref-type="bibr" rid="ref117">L&#x00F6;vd&#x00E9;n et al., 2005</xref>). However, <xref ref-type="bibr" rid="ref136">Moffat et al. (2006)</xref>, while controlling for visuomotor factors, found a reduced activity of the hippocampus and the parahippocampal gyrus in the elderly. They also found a larger frontal lobe activity associated with environment encoding. All these changes were correlated with a decrease in the accuracy of spatial navigation. It appears that there is an age-related difference in step count and foot landing probability during navigation too. This highlights the importance of gait indicators. Indeed, the step count reflects whether someone is wandering in space, from which we can infer that they have a less effective cognitive map (<xref ref-type="bibr" rid="ref160">Pawlaczyk et al., 2021</xref>).</p>
<p>Neuroimaging data corroborate behavioral findings in age-dependent decline in spatial cognition. Namely, both the volume of the hippocampus (<xref ref-type="bibr" rid="ref58">Driscoll et al., 2003</xref>; <xref ref-type="bibr" rid="ref52">Daugherty et al., 2016</xref>) and its activity during the spatial task is decreased in older adults as compared with young adults (<xref ref-type="bibr" rid="ref8">Antonova et al., 2009</xref>; <xref ref-type="bibr" rid="ref104">Konishi et al., 2013</xref>). Interestingly, neither the longitudinal studies (<xref ref-type="bibr" rid="ref105">Korthauer et al., 2016</xref>; <xref ref-type="bibr" rid="ref53">Daugherty and Raz, 2017</xref>) nor the experiments comparing the elderly with middle-aged groups (<xref ref-type="bibr" rid="ref105">Korthauer et al., 2016</xref>) provided a satisfactory answer to the question of whether or not the atrophy of hippocampus can explain the spatial navigation deficit observed in elderly. The fact that epilepsy patients after a complete bilateral hippocampalectomy demonstrated spatial orientation performance non-inferior to normal control in navigation tasks as long as the task did not involve spatial memory (<xref ref-type="bibr" rid="ref203">Teng and Squire, 1999</xref>) suggests that multiple brain regions are involved in spatial navigation, including the pariatal (<xref ref-type="bibr" rid="ref164">Potegal, 1972</xref>; <xref ref-type="bibr" rid="ref45">Cook and Kesner, 1988</xref>) and retrosplenial cortical areas (<xref ref-type="bibr" rid="ref199">Takahashi et al., 1997</xref>; <xref ref-type="bibr" rid="ref221">Wolbers and B&#x00FC;chel, 2005</xref>; <xref ref-type="bibr" rid="ref61">Epstein and Higgins, 2007</xref>; <xref ref-type="bibr" rid="ref85">Iaria et al., 2007</xref>; <xref ref-type="bibr" rid="ref13">Auger and Maguire, 2013</xref>; <xref ref-type="bibr" rid="ref225">Zhang and Ekstrom, 2013</xref>). In addition, age-dependent changes in other structures, such as the loss of volume in the caudate nucleus (<xref ref-type="bibr" rid="ref76">Gunning-Dixon et al., 1998</xref>), may play an important role in the decline of spatial navigation with age (<xref ref-type="bibr" rid="ref43">Colombo et al., 2017</xref>). One of the biggest caveats in this research area is the lack of well-designed longitudinal studies (<xref ref-type="bibr" rid="ref114">Li and King, 2019</xref>).</p>
<p>Comprehensive neuroimaging studies on the elderly showing observable changes in prefrontal cortical areas suggest that the deficit of other cognitive functions may contribute to the spatial deficit (<xref ref-type="bibr" rid="ref190">Shallice, 1982</xref>). Therefore, it is key to determine to what extent the decline in spatial orientation can be triggered by the deterioration of other cognitive functions, such as working memory (<xref ref-type="bibr" rid="ref83">Iachini et al., 2009</xref>), executive functions (<xref ref-type="bibr" rid="ref190">Shallice, 1982</xref>) and learning (<xref ref-type="bibr" rid="ref100">Klencklen et al., 2012</xref>). Age-dependent changes in the working memory function of the dorsomedial prefrontal cortex may play an important role in the background of spatial cognitive decline by limiting the capacity to retain auxiliary information that might be critical for spatial memory performance (<xref ref-type="bibr" rid="ref83">Iachini et al., 2009</xref>). Conversely, hippocampal dysfunction can also affect different aspects of cognitive functions: executive function (<xref ref-type="bibr" rid="ref155">Papp et al., 2014</xref>), episodic and working memory (<xref ref-type="bibr" rid="ref154">O'Shea et al., 2016</xref>), and PI skills (<xref ref-type="bibr" rid="ref223">Yamamoto et al., 2014</xref>). Hence, the interaction between spatial memory and other cognitive functions is bidirectional.</p>
<p>Training involving route learning (e.g., recalling familiar routes, learning new routes, memorizing the spatial sequence of objects, recognizing landmarks or routes on a map) has a beneficial effect on spatial working memory, as it improves the encoding of sequential spatial information. This result is not only crucial for maintaining navigation abilities but also beneficial for everyday activities that require executive functions (<xref ref-type="bibr" rid="ref133">Mitolo et al., 2017</xref>).</p>
<sec id="sec12">
<label>6.1</label>
<title>Dementia and spatial navigation</title>
<p>One of the most prevalent neurological diseases of our time is Alzheimer&#x2019;s disease (AD). Broadening access to medical care prolongs the human lifetime and extends the expected lifespan of the population. Rising life expectancy combined with other factors such as declining fertility rates causes the ratio of the elderly to increase year by year, along with the prevalence of neurodegenerative diseases among older people and in general (<xref ref-type="bibr" rid="ref25">Bloom and Luca, 2016</xref>). The prevalence of AD and mild dementia in the elderly around 60&#x202F;years of age is 1%, while in the 85-year-old, it reaches 30% (<xref ref-type="bibr" rid="ref50">Cummings, 2004</xref>). This trend, as well as the growing rate of GDP absorbed by medical care, highlights the importance of early prognosis of cognitive decline and developing interventions to relieve the symptoms.</p>
<p>One of the earliest and most specific symptoms of AD and vascular type of dementia is the spatial deficit, which causes the progressive decline of the spatial navigation skill, starting in the person&#x2019;s larger environment and later invading the personal space and finally affecting everyday life (<xref ref-type="bibr" rid="ref135">Moffat, 2009</xref>). In AD, there is an increased atrophy that MRI can detect in the area of the hippocampus and the amygdala when comparing it to the healthy elderly (<xref ref-type="bibr" rid="ref55">den Heijer et al., 2006</xref>). The symptoms appear to correlate with the change of specific brain networks but not the severity of neurodegenerative changes (<xref ref-type="bibr" rid="ref200">Tascone et al., 2017</xref>). However, neurodegenerative changes can also be observed in individuals who have not yet developed the disease but are at risk for AD (<xref ref-type="bibr" rid="ref108">Kunz et al., 2015</xref>). The decline of PI when spatial cues are not available appears to be one of the earliest predictors of developing AD (<xref ref-type="bibr" rid="ref149">Newton et al., 2024</xref>), particularly in individuals carrying the APOE &#x03B5;4 allele (<xref ref-type="bibr" rid="ref108">Kunz et al., 2015</xref>; <xref ref-type="bibr" rid="ref22">Bierbrauer et al., 2020</xref>). The presumed cause is the molecular pathological changes occurring in the entorhinal cortex, such as A&#x03B2; and tau deposits. These protein deposits modify the function of grid cells, which play a role in allocentric PI (<xref ref-type="bibr" rid="ref80">Howett et al., 2019</xref>; <xref ref-type="bibr" rid="ref149">Newton et al., 2024</xref>). Additionally, they negatively affect the connection between the entorhinal cortex and the hippocampus (<xref ref-type="bibr" rid="ref92">Karimani et al., 2024</xref>). Therefore, recognizing the earliest signs of spatial navigation decline is pivotal for the early diagnosis of the disease. The problem is the lack of normative databases for spatial navigation abilities, which could provide reference points for comparing early symptoms (<xref ref-type="bibr" rid="ref47">Coughlan et al., 2018</xref>).</p>
<p>The expression of spatial navigation symptoms in both AD and Mild Cognitive Impairment (MCI) can be conceptualized by two models. According to the most common model, there is a visuo-perceptual deficit in the background. For example, the disruption of optic flow and the difficulty of coordinating gaze and visuospatial attention. The other model relates the symptoms to the cognitive map and the flexibility of the allocentric reference frame, including the ability to switch between egocentric and allocentric navigation, a function related to the retrosplenial cortex (<xref ref-type="bibr" rid="ref214">Vl&#x010D;ek and Lacz&#x00F3;, 2014</xref>). Converging results, such as patients with AD perform worse in allocentric spatial navigation and tasks involving ordering places than healthy elderly control (<xref ref-type="bibr" rid="ref90">Kalov&#x00E1; et al., 2005</xref>; <xref ref-type="bibr" rid="ref79">Hort et al., 2007</xref>), as well as they also express a preference for egocentric strategy, support the cognitive map model (<xref ref-type="bibr" rid="ref156">Parizkova et al., 2018</xref>). In contrast, <xref ref-type="bibr" rid="ref206">Tuena et al. (2021)</xref> reported deterioration of both types of navigation in Mild Cognitive Impairment.</p>
<p>In another study by <xref ref-type="bibr" rid="ref89">Jheng and Pai (2009)</xref>, patients in the early stage of dementia produced a reasonably good yet less elaborate cognitive map of familiar places than the healthy control, which suggests efficient egocentric and allocentric strategies. The authors argue that the early negative symptoms during spatial navigation may not be related to the integrity of cognitive maps. However, their contradictory result can be explained by the interpretational difficulty concerning the virtual MWM paradigm they used. Namely, it was difficult to dissociate the allocentric and egocentric strategies, regardless of whether the task was a relative location task (measured by the relative position of landmarks) or an absolute localization task (localization in a map).</p>
<p>Dementia is not only affecting spatial navigation, but it cooccurs with other symptoms, e.g., stress, anxiety, and making adaptation difficult (<xref ref-type="bibr" rid="ref124">Marquardt, 2011</xref>). Living in a nursing home reduces physical activity (<xref ref-type="bibr" rid="ref186">Scherder et al., 2010</xref>). This inactivity, combined with the lack of motivation and impaired smelling capacity (<xref ref-type="bibr" rid="ref38">Ciciliati et al., 2021</xref>), causes weight loss and fragility, a leading and independent group of symptoms common in AD. It accelerates the progressive deterioration and, eventually, the likelihood of death (<xref ref-type="bibr" rid="ref35">Chin et al., 1999</xref>). There are also speculations that spatial navigation dysfunction or visuospatial problems are responsible for the symptoms of aimless wandering. However, the etiology is poorly understood (<xref ref-type="bibr" rid="ref109">Kwak et al., 2015</xref>).</p>
</sec>
</sec>
<sec sec-type="discussion" id="sec13">
<label>7</label>
<title>Discussion</title>
<p>In this review, we argued that despite the extensive and deepening research in the field of spatial navigation, a few important but unjustified assumptions, ill-defined concepts, and methodological inconsistencies hinder the interpretation of results. Additionally, it is important to note that the usage of allocentric and egocentric terms is not always consistent.</p>
<p>Establishing a unified conceptual framework is challenging, as methodological diversity complicates the unified interpretation of different findings. We elucidated that the confusion of PI with allocentric reference frames generated contradictions in the literature. Furthermore, we argued that regarding non-human research results, using the &#x201C;shortcuts&#x201D; as evidence for cognitive maps is incorrect, as shortcuts can be computed from PI without a cognitive map. Therefore, we propose that future research should take into account that landmark-aligned optimal behavior may not automatically be evidence of a cognitive map.</p>
<p>It remains a challenging question, nevertheless, how children&#x2019;s spatial cognitive development is embedded in the context of evolving executive functions and general cognitive skills. There are significant stepwise changes in multiple cognitive domains during the period between 3 to 5&#x202F;years, which makes it very tempting to relate the adoption of TOM to the acquisition of allocentric reference frames. However, the allocentric reference frame does not replace egocentric; instead, they coexist. Our concept is in line with Piaget&#x2019;s developmental model, according to which the egocentric viewpoint precedes the viewpoint-independent allocentric representation mode, which is more vulnerable to age-related changes and sensitive to environmental and experimental factors. These findings are concordant with results indicating that allocentric orientation is more susceptible to cognitive decline (<xref ref-type="bibr" rid="ref90">Kalov&#x00E1; et al., 2005</xref>; <xref ref-type="bibr" rid="ref79">Hort et al., 2007</xref>; <xref ref-type="bibr" rid="ref156">Parizkova et al., 2018</xref>). Despite its vulnerability, the allocentric reference frame offers advantages requiring less cognitive load and neuronal computation during movement than the egocentric mode.</p>
<p>We argued that the spatial reference frames provide a very sensitive tool to study age-dependent changes in spatial cognition. This conceptual device could serve as an important early diagnostic tool for the most devastating neurodegeneration diseases, such as AD, because they affect the same brain areas as the ones involved in spatial navigation and spatial awareness. The demand for such tools is imminent. Therefore, it is necessary to critically overview the methodological landscape from time to time and synthesize the results in a coherent narrative to attain conceptual clarity and point attention to new research directions for future professionals.</p>
</sec>
</body>
<back>
<sec sec-type="author-contributions" id="sec14">
<title>Author contributions</title>
<p>AN: Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. SS: Writing &#x2013; review &#x0026; editing. ZN: Writing &#x2013; review &#x0026; editing, Supervision, Writing &#x2013; original draft, Visualization.</p>
</sec>
<sec sec-type="funding-information" id="sec15">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research and/or publication of this article.</p>
</sec>
<sec sec-type="COI-statement" id="sec16">
<title>Conflict of interest</title>
<p>ZN was employed by the Zeto, Inc. ZN holds stock options in Zeto, Inc. and VISIE, Inc., both unrelated to the study.</p>
<p>The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="sec17">
<title>Generative AI statement</title>
<p>The authors declare that no Gen AI was used in the creation of this manuscript.</p>
</sec>
<sec sec-type="disclaimer" id="sec18">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ref-list>
<title>References</title>
<ref id="ref1"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Acredolo</surname> <given-names>L. P.</given-names></name></person-group> (<year>1978</year>). <article-title>Development of spatial orientation in infancy</article-title>. <source>Dev. Psychol.</source> <volume>14</volume>, <fpage>224</fpage>&#x2013;<lpage>234</lpage>. doi: <pub-id pub-id-type="doi">10.1037/0012-1649.14.3.224</pub-id></citation></ref>
<ref id="ref2"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Acredolo</surname> <given-names>L. P.</given-names></name></person-group> (<year>1990</year>). <article-title>Behavioral approaches to spatial orientation in infancy</article-title>. <source>Ann. N. Y. Acad. Sci.</source> <volume>608</volume>, <fpage>596</fpage>&#x2013;<lpage>612</lpage>. doi: <pub-id pub-id-type="doi">10.1111/j.1749-6632.1990.tb48911.x</pub-id>, PMID: <pub-id pub-id-type="pmid">2075963</pub-id></citation></ref>
<ref id="ref3"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Addis</surname> <given-names>D. R.</given-names></name> <name><surname>Wong</surname> <given-names>A. T.</given-names></name> <name><surname>Schacter</surname> <given-names>D. L.</given-names></name></person-group> (<year>2007</year>). <article-title>Remembering the past and imagining the future: common and distinct neural substrates during event construction and elaboration</article-title>. <source>Neuropsychologia</source> <volume>45</volume>, <fpage>1363</fpage>&#x2013;<lpage>1377</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.neuropsychologia.2006.10.016</pub-id>, PMID: <pub-id pub-id-type="pmid">17126370</pub-id></citation></ref>
<ref id="ref4"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Aichhorn</surname> <given-names>M.</given-names></name> <name><surname>Perner</surname> <given-names>J.</given-names></name> <name><surname>Kronbichler</surname> <given-names>M.</given-names></name> <name><surname>Staffen</surname> <given-names>W.</given-names></name> <name><surname>Ladurner</surname> <given-names>G.</given-names></name></person-group> (<year>2006</year>). <article-title>Do visual perspective tasks need theory of mind?</article-title> <source>Neuro Image</source> <volume>30</volume>, <fpage>1059</fpage>&#x2013;<lpage>1068</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.neuroimage.2005.10.026</pub-id>, PMID: <pub-id pub-id-type="pmid">16337813</pub-id></citation></ref>
<ref id="ref5"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Andersen</surname> <given-names>R. A.</given-names></name> <name><surname>Buneo</surname> <given-names>C. A.</given-names></name></person-group> (<year>2002</year>). <article-title>Intentional maps in posterior parietal cortex</article-title>. <source>Annu. Rev. Neurosci.</source> <volume>25</volume>, <fpage>189</fpage>&#x2013;<lpage>220</lpage>. doi: <pub-id pub-id-type="doi">10.1146/annurev.neuro.25.112701.142922</pub-id>, PMID: <pub-id pub-id-type="pmid">12052908</pub-id></citation></ref>
<ref id="ref7"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Andersen</surname> <given-names>R. A.</given-names></name> <name><surname>Snyder</surname> <given-names>L. H.</given-names></name> <name><surname>Li</surname> <given-names>C.-S.</given-names></name> <name><surname>Stricanne</surname> <given-names>B.</given-names></name></person-group> (<year>1993</year>). <article-title>Coordinate transformations in the representation of spatial information</article-title>. <source>Curr. Opin. Neurobiol.</source> <volume>3</volume>, <fpage>171</fpage>&#x2013;<lpage>176</lpage>. doi: <pub-id pub-id-type="doi">10.1016/0959-4388(93)90206-E</pub-id>, PMID: <pub-id pub-id-type="pmid">8513228</pub-id></citation></ref>
<ref id="ref8"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Antonova</surname> <given-names>E.</given-names></name> <name><surname>Parslow</surname> <given-names>D.</given-names></name> <name><surname>Brammer</surname> <given-names>M.</given-names></name> <name><surname>Dawson</surname> <given-names>G. R.</given-names></name> <name><surname>Jackson</surname> <given-names>S. H. D.</given-names></name> <name><surname>Morris</surname> <given-names>R. G.</given-names></name></person-group> (<year>2009</year>). <article-title>Age-related neural activity during allocentric spatial memory</article-title>. <source>Memory</source> <volume>17</volume>, <fpage>125</fpage>&#x2013;<lpage>143</lpage>. doi: <pub-id pub-id-type="doi">10.1080/09658210802077348</pub-id>, PMID: <pub-id pub-id-type="pmid">18608980</pub-id></citation></ref>
<ref id="ref9"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Apperly</surname> <given-names>I. A.</given-names></name> <name><surname>Butterfill</surname> <given-names>S. A.</given-names></name></person-group> (<year>2009</year>). <article-title>Do humans have two systems to track beliefs and belief-like states?</article-title> <source>Psychol. Rev.</source> <volume>116</volume>, <fpage>953</fpage>&#x2013;<lpage>970</lpage>. doi: <pub-id pub-id-type="doi">10.1037/a0016923</pub-id>, PMID: <pub-id pub-id-type="pmid">19839692</pub-id></citation></ref>
<ref id="ref10"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Arleo</surname> <given-names>A.</given-names></name> <name><surname>Rondi-Reig</surname> <given-names>L.</given-names></name></person-group> (<year>2007</year>). <article-title>Multimodal sensory integration and concurrent navigation strategies for spatial cognition in real and artificial organisms</article-title>. <source>J. Integr. Neurosci.</source> <volume>6</volume>, <fpage>327</fpage>&#x2013;<lpage>366</lpage>. doi: <pub-id pub-id-type="doi">10.1142/S0219635207001593</pub-id>, PMID: <pub-id pub-id-type="pmid">17933016</pub-id></citation></ref>
<ref id="ref11"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Arolfo</surname> <given-names>M. P.</given-names></name> <name><surname>Nerad</surname> <given-names>L.</given-names></name> <name><surname>Schenk</surname> <given-names>F.</given-names></name> <name><surname>Bures</surname> <given-names>J.</given-names></name></person-group> (<year>1994</year>). <article-title>Absence of snapshot memory of the target view interferes with place navigation learning by rats in the water maze</article-title>. <source>Behav. Neurosci.</source> <volume>108</volume>, <fpage>308</fpage>&#x2013;<lpage>316</lpage>. doi: <pub-id pub-id-type="doi">10.1037//0735-7044.108.2.308</pub-id>, PMID: <pub-id pub-id-type="pmid">8037874</pub-id></citation></ref>
<ref id="ref12"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Asem</surname> <given-names>J. S. A.</given-names></name> <name><surname>Fortin</surname> <given-names>N. J.</given-names></name></person-group> (<year>2017</year>). &#x201C;<article-title>Memory for space, time, and episodes</article-title>&#x201D; in <source>Learning and memory: A comprehensive reference</source>. ed. <person-group person-group-type="editor"><name><surname>Byrne</surname> <given-names>J. H.</given-names></name></person-group>. <edition>2nd</edition> ed (<publisher-name>Oxford: Academic Press</publisher-name>), <fpage>255</fpage>&#x2013;<lpage>283</lpage>.</citation></ref>
<ref id="ref13"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Auger</surname> <given-names>S. D.</given-names></name> <name><surname>Maguire</surname> <given-names>E. A.</given-names></name></person-group> (<year>2013</year>). <article-title>Assessing the mechanism of response in the retrosplenial cortex of good and poor navigators</article-title>. <source>Cortex</source> <volume>49</volume>, <fpage>2904</fpage>&#x2013;<lpage>2913</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.cortex.2013.08.002</pub-id>, PMID: <pub-id pub-id-type="pmid">24012136</pub-id></citation></ref>
<ref id="ref14"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Babo-Rebelo</surname> <given-names>M.</given-names></name> <name><surname>Chatel</surname> <given-names>M.</given-names></name> <name><surname>Tabacchi</surname> <given-names>S.</given-names></name> <name><surname>Namiq</surname> <given-names>A.</given-names></name> <name><surname>Travers</surname> <given-names>E.</given-names></name> <name><surname>James</surname> <given-names>K.</given-names></name> <etal/></person-group>. (<year>2022</year>). <article-title>Aesthetic experience enhances first-person spatial representation</article-title>. <source>Proc. Natl. Acad. Sci. USA</source> <volume>119</volume>:<fpage>e2201540119</fpage>. doi: <pub-id pub-id-type="doi">10.1073/pnas.2201540119</pub-id>, PMID: <pub-id pub-id-type="pmid">36251990</pub-id></citation></ref>
<ref id="ref15"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Barry</surname> <given-names>C.</given-names></name> <name><surname>Lever</surname> <given-names>C.</given-names></name> <name><surname>Hayman</surname> <given-names>R.</given-names></name> <name><surname>Hartley</surname> <given-names>T.</given-names></name> <name><surname>Burton</surname> <given-names>S.</given-names></name> <name><surname>O&#x2019;Keefe</surname> <given-names>J.</given-names></name> <etal/></person-group>. (<year>2006</year>). <article-title>The boundary vector cell model of place cell firing and spatial memory</article-title>. <source>Rev. Neurosci.</source> <volume>17</volume>, <fpage>71</fpage>&#x2013;<lpage>97</lpage>. doi: <pub-id pub-id-type="doi">10.1515/revneuro.2006.17.1-2.71</pub-id>, PMID: <pub-id pub-id-type="pmid">16703944</pub-id></citation></ref>
<ref id="ref16"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>B&#x00E9;cu</surname> <given-names>M.</given-names></name> <name><surname>Sheynikhovich</surname> <given-names>D.</given-names></name> <name><surname>Tatur</surname> <given-names>G.</given-names></name> <name><surname>Agathos</surname> <given-names>C. P.</given-names></name> <name><surname>Bologna</surname> <given-names>L. L.</given-names></name> <name><surname>Sahel</surname> <given-names>J.-A.</given-names></name> <etal/></person-group>. (<year>2020</year>). <article-title>Age-related preference for geometric spatial cues during real-world navigation</article-title>. <source>Nat. Hum. Behav.</source> <volume>4</volume>, <fpage>88</fpage>&#x2013;<lpage>99</lpage>. doi: <pub-id pub-id-type="doi">10.1038/s41562-019-0718-z</pub-id>, PMID: <pub-id pub-id-type="pmid">31548677</pub-id></citation></ref>
<ref id="ref17"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bell</surname> <given-names>S.</given-names></name></person-group> (<year>2002</year>). <article-title>Spatial cognition and scale: A child&#x2019;s perspective</article-title>. <source>J. Environ. Psychol.</source> <volume>22</volume>, <fpage>9</fpage>&#x2013;<lpage>27</lpage>. doi: <pub-id pub-id-type="doi">10.1006/jevp.2002.0250</pub-id>, PMID: <pub-id pub-id-type="pmid">39885891</pub-id></citation></ref>
<ref id="ref18"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bennett</surname> <given-names>A. T.</given-names></name></person-group> (<year>1996</year>). <article-title>Do animals have cognitive maps?</article-title> <source>J. Exp. Biol.</source> <volume>199</volume>, <fpage>219</fpage>&#x2013;<lpage>224</lpage>. doi: <pub-id pub-id-type="doi">10.1242/jeb.199.1.219</pub-id>, PMID: <pub-id pub-id-type="pmid">8576693</pub-id></citation></ref>
<ref id="ref19"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Berlin</surname> <given-names>J. C.</given-names></name> <name><surname>Kirk</surname> <given-names>E. C.</given-names></name> <name><surname>Rowe</surname> <given-names>T. B.</given-names></name></person-group> (<year>2013</year>). <article-title>Functional implications of ubiquitous semicircular canal non-orthogonality in mammals</article-title>. <source>PLoS One</source> <volume>8</volume>, 1&#x2013;15. doi: <pub-id pub-id-type="doi">10.1371/journal.pone.0079585</pub-id>, PMID: <pub-id pub-id-type="pmid">24260256</pub-id></citation></ref>
<ref id="ref20"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Beusmans</surname> <given-names>J. M.</given-names></name></person-group> (<year>1993</year>). <article-title>Computing the direction of heading from affine image flow</article-title>. <source>Biol. Cybern.</source> <volume>70</volume>, <fpage>123</fpage>&#x2013;<lpage>136</lpage>. doi: <pub-id pub-id-type="doi">10.1007/BF00200826</pub-id>, PMID: <pub-id pub-id-type="pmid">8312404</pub-id></citation></ref>
<ref id="ref21"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bicanski</surname> <given-names>A.</given-names></name> <name><surname>Burgess</surname> <given-names>N.</given-names></name></person-group> (<year>2020</year>). <article-title>Neuronal vector coding in spatial cognition</article-title>. <source>Nat. Rev. Neurosci.</source> <volume>21</volume>, <fpage>453</fpage>&#x2013;<lpage>470</lpage>. doi: <pub-id pub-id-type="doi">10.1038/s41583-020-0336-9</pub-id></citation></ref>
<ref id="ref22"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bierbrauer</surname> <given-names>A.</given-names></name> <name><surname>Kunz</surname> <given-names>L.</given-names></name> <name><surname>Gomes</surname> <given-names>C. A.</given-names></name> <name><surname>Luhmann</surname> <given-names>M.</given-names></name> <name><surname>Deuker</surname> <given-names>L.</given-names></name> <name><surname>Getzmann</surname> <given-names>S.</given-names></name> <etal/></person-group>. (<year>2020</year>). <article-title>Unmasking selective path integration deficits in Alzheimer's disease risk carriers. <italic>Science</italic></article-title>. <source>Advances</source> <volume>6</volume>:<fpage>eaba1394</fpage>. doi: <pub-id pub-id-type="doi">10.1126/sciadv.aba1394</pub-id>, PMID: <pub-id pub-id-type="pmid">32923622</pub-id></citation></ref>
<ref id="ref23"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bird</surname> <given-names>C. M.</given-names></name> <name><surname>Burgess</surname> <given-names>N.</given-names></name></person-group> (<year>2008</year>). <article-title>The hippocampus and memory: insights from spatial processing</article-title>. <source>Nat. Rev. Neurosci.</source> <volume>9</volume>, <fpage>182</fpage>&#x2013;<lpage>194</lpage>. doi: <pub-id pub-id-type="doi">10.1038/nrn2335</pub-id>, PMID: <pub-id pub-id-type="pmid">18270514</pub-id></citation></ref>
<ref id="ref24"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Blaser</surname> <given-names>N.</given-names></name> <name><surname>Dell'Omo</surname> <given-names>G.</given-names></name> <name><surname>Dell'Ariccia</surname> <given-names>G.</given-names></name> <name><surname>Wolfer</surname> <given-names>D. P.</given-names></name> <name><surname>Lipp</surname> <given-names>H. P.</given-names></name></person-group> (<year>2013</year>). <article-title>Testing cognitive navigation in unknown territories: homing pigeons choose different targets</article-title>. <source>J. Exp. Biol.</source> <volume>216</volume>, <fpage>3123</fpage>&#x2013;<lpage>3131</lpage>. doi: <pub-id pub-id-type="doi">10.1242/jeb.083246</pub-id>, PMID: <pub-id pub-id-type="pmid">23885090</pub-id></citation></ref>
<ref id="ref25"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Bloom</surname> <given-names>D. E.</given-names></name> <name><surname>Luca</surname> <given-names>D. L.</given-names></name></person-group> (<year>2016</year>). &#x201C;<article-title>The global demography of aging</article-title>&#x201D; in <source>Handbook of the economics of population aging</source>. eds. <person-group person-group-type="editor"><name><surname>Piggott</surname> <given-names>J.</given-names></name> <name><surname>Woodland</surname> <given-names>A.</given-names></name></person-group> (<publisher-name>Amsterdam: Elsevier</publisher-name>), <fpage>3</fpage>&#x2013;<lpage>56</lpage>.</citation></ref>
<ref id="ref26"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Brown</surname> <given-names>T. I.</given-names></name> <name><surname>Chrastil</surname> <given-names>E. R.</given-names></name></person-group> (<year>2019</year>). <article-title>Editorial: spatial navigation: memory mechanisms and executive function interactions</article-title>. <source>Front. Hum. Neurosci.</source> <volume>13</volume>:<fpage>202</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fnhum.2019.00202</pub-id>, PMID: <pub-id pub-id-type="pmid">31249519</pub-id></citation></ref>
<ref id="ref27"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bullens</surname> <given-names>J.</given-names></name> <name><surname>Igl&#x00F3;i</surname> <given-names>K.</given-names></name> <name><surname>Berthoz</surname> <given-names>A.</given-names></name> <name><surname>Postma</surname> <given-names>A.</given-names></name> <name><surname>Rondi-Reig</surname> <given-names>L.</given-names></name></person-group> (<year>2010</year>). <article-title>Developmental time course of the acquisition of sequential egocentric and allocentric navigation strategies</article-title>. <source>J. Exp. Child Psychol.</source> <volume>107</volume>, <fpage>337</fpage>&#x2013;<lpage>350</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.jecp.2010.05.010</pub-id>, PMID: <pub-id pub-id-type="pmid">20598705</pub-id></citation></ref>
<ref id="ref28"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Burgess</surname> <given-names>N.</given-names></name></person-group> (<year>2006</year>). <article-title>Spatial memory: how egocentric and allocentric combine</article-title>. <source>Trends Cogn. Sci.</source> <volume>10</volume>, <fpage>551</fpage>&#x2013;<lpage>557</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.tics.2006.10.005</pub-id></citation></ref>
<ref id="ref29"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Burgess</surname> <given-names>N.</given-names></name> <name><surname>Maguire</surname> <given-names>E. A.</given-names></name> <name><surname>O'Keefe</surname> <given-names>J.</given-names></name></person-group> (<year>2002</year>). <article-title>The human hippocampus and spatial and episodic memory</article-title>. <source>Neuron</source> <volume>35</volume>, <fpage>625</fpage>&#x2013;<lpage>641</lpage>. doi: <pub-id pub-id-type="doi">10.1016/s0896-6273(02)00830-9</pub-id>, PMID: <pub-id pub-id-type="pmid">12194864</pub-id></citation></ref>
<ref id="ref30"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Burns</surname> <given-names>P. C.</given-names></name></person-group> (<year>1999</year>). <article-title>Navigation and the mobility of older drivers</article-title>. <source>J. Gerontol. B Psychol. Sci. Soc. Sci.</source> <volume>54</volume>, <fpage>S49</fpage>&#x2013;<lpage>S55</lpage>. doi: <pub-id pub-id-type="doi">10.1093/geronb/54B.1.S49</pub-id>, PMID: <pub-id pub-id-type="pmid">9934402</pub-id></citation></ref>
<ref id="ref31"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bush</surname> <given-names>D.</given-names></name> <name><surname>Barry</surname> <given-names>C.</given-names></name> <name><surname>Manson</surname> <given-names>D.</given-names></name> <name><surname>Burgess</surname> <given-names>N.</given-names></name></person-group> (<year>2015</year>). <article-title>Using grid cells for navigation</article-title>. <source>Neuron</source> <volume>87</volume>, <fpage>507</fpage>&#x2013;<lpage>520</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.neuron.2015.07.006</pub-id>, PMID: <pub-id pub-id-type="pmid">26247860</pub-id></citation></ref>
<ref id="ref32"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Buzs&#x00E1;ki</surname> <given-names>G.</given-names></name> <name><surname>Llin&#x00E1;s</surname> <given-names>R.</given-names></name></person-group> (<year>2017</year>). <article-title>Space and time in the brain</article-title>. <source>Science</source> <volume>358</volume>, <fpage>482</fpage>&#x2013;<lpage>485</lpage>. doi: <pub-id pub-id-type="doi">10.1126/science.aan8869</pub-id>, PMID: <pub-id pub-id-type="pmid">29074768</pub-id></citation></ref>
<ref id="ref33"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Buzs&#x00E1;ki</surname> <given-names>G.</given-names></name> <name><surname>Moser</surname> <given-names>E. I.</given-names></name></person-group> (<year>2013</year>). <article-title>Memory, navigation and theta rhythm in the hippocampal-entorhinal system</article-title>. <source>Nat. Neurosci.</source> <volume>16</volume>, <fpage>130</fpage>&#x2013;<lpage>138</lpage>. doi: <pub-id pub-id-type="doi">10.1038/nn.3304</pub-id>, PMID: <pub-id pub-id-type="pmid">23354386</pub-id></citation></ref>
<ref id="ref34"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Byrne</surname> <given-names>P.</given-names></name> <name><surname>Becker</surname> <given-names>S.</given-names></name> <name><surname>Burgess</surname> <given-names>N.</given-names></name></person-group> (<year>2007</year>). <article-title>Remembering the past and imagining the future: a neural model of spatial memory and imagery</article-title>. <source>Psychol. Rev.</source> <volume>114</volume>, <fpage>340</fpage>&#x2013;<lpage>375</lpage>. doi: <pub-id pub-id-type="doi">10.1037/0033-295X.114.2.340</pub-id>, PMID: <pub-id pub-id-type="pmid">17500630</pub-id></citation></ref>
<ref id="ref35"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Chin</surname> <given-names>A.</given-names></name> <name><surname>Paw</surname> <given-names>M. J.</given-names></name> <name><surname>Dekker</surname> <given-names>J. M.</given-names></name> <name><surname>Feskens</surname> <given-names>E. J.</given-names></name> <name><surname>Schouten</surname> <given-names>E. G.</given-names></name> <name><surname>Kromhout</surname> <given-names>D.</given-names></name></person-group> (<year>1999</year>). <article-title>How to select a frail elderly population? A comparison of three working definitions</article-title>. <source>J. Clin. Epidemiol</source> <volume>52</volume>, <fpage>1015</fpage>&#x2013;<lpage>1021</lpage>. doi: <pub-id pub-id-type="doi">10.1016/s0895-4356(99)00077-3</pub-id>, PMID: <pub-id pub-id-type="pmid">40257437</pub-id></citation></ref>
<ref id="ref36"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Chrastil</surname> <given-names>E. R.</given-names></name> <name><surname>Sherrill</surname> <given-names>K. R.</given-names></name> <name><surname>Hasselmo</surname> <given-names>M. E.</given-names></name> <name><surname>Stern</surname> <given-names>C. E.</given-names></name></person-group> (<year>2015</year>). <article-title>There and back again: Hippocampus and retrosplenial cortex track homing distance during human path integration</article-title>. <source>J. Neurosci.</source> <volume>35</volume>, <fpage>15442</fpage>&#x2013;<lpage>15452</lpage>. doi: <pub-id pub-id-type="doi">10.1523/JNEUROSCI.1209-15.2015</pub-id>, PMID: <pub-id pub-id-type="pmid">26586830</pub-id></citation></ref>
<ref id="ref37"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Chrastil</surname> <given-names>E.</given-names></name> <name><surname>Warren</surname> <given-names>W.</given-names></name></person-group> (<year>2008</year>). <article-title>Testing models of path integration in a triangle completion task</article-title>. <source>J. Vis.</source> <volume>8</volume>:<fpage>1153</fpage>. doi: <pub-id pub-id-type="doi">10.1167/8.6.1153</pub-id></citation></ref>
<ref id="ref38"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ciciliati</surname> <given-names>A. M. M.</given-names></name> <name><surname>Adriazola</surname> <given-names>I. O.</given-names></name> <name><surname>Souza Farias-Itao</surname> <given-names>D.</given-names></name> <name><surname>Pasqualucci</surname> <given-names>C. A.</given-names></name> <name><surname>Leite</surname> <given-names>R. E. P.</given-names></name> <name><surname>Nitrini</surname> <given-names>R.</given-names></name> <etal/></person-group>. (<year>2021</year>). <article-title>Severe dementia predicts weight loss by the time of death</article-title>. <source>Front. Neurol.</source> <volume>12</volume>:<fpage>610302</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fneur.2021.610302</pub-id>, PMID: <pub-id pub-id-type="pmid">34054683</pub-id></citation></ref>
<ref id="ref39"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Clark</surname> <given-names>H. H.</given-names></name></person-group> (<year>1973</year>). &#x201C;<article-title>Space, time, semantics and the child</article-title>&#x201D; in <source>Cognitive development and Acquisition of Language</source>. ed. <person-group person-group-type="editor"><name><surname>Moore</surname> <given-names>T. E.</given-names></name></person-group> (<publisher-loc>New York</publisher-loc>: <publisher-name>Academic Press</publisher-name>), <fpage>27</fpage>&#x2013;<lpage>63</lpage>.</citation></ref>
<ref id="ref40"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Clearfield</surname> <given-names>M. W.</given-names></name></person-group> (<year>2004</year>). <article-title>The role of crawling and walking experience in infant spatial memory</article-title>. <source>J. Exp. Child Psychol.</source> <volume>89</volume>, <fpage>214</fpage>&#x2013;<lpage>241</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.jecp.2004.07.003</pub-id>, PMID: <pub-id pub-id-type="pmid">15501452</pub-id></citation></ref>
<ref id="ref41"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Collett</surname> <given-names>T. S.</given-names></name></person-group> (<year>2003</year>). <article-title>Invertebrate perception: measuring depth intervals through path integration and vision</article-title>. <source>Curr. Biol.</source> <volume>13</volume>, <fpage>R276</fpage>&#x2013;<lpage>R278</lpage>. doi: <pub-id pub-id-type="doi">10.1016/S0960-9822(03)00200-8</pub-id>, PMID: <pub-id pub-id-type="pmid">12676106</pub-id></citation></ref>
<ref id="ref42"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Collett</surname> <given-names>M.</given-names></name> <name><surname>Collett</surname> <given-names>T. S.</given-names></name></person-group> (<year>2000</year>). <article-title>How do insects use path integration for their navigation?</article-title> <source>Biol. Cybern.</source> <volume>83</volume>, <fpage>245</fpage>&#x2013;<lpage>259</lpage>. doi: <pub-id pub-id-type="doi">10.1007/s004220000168</pub-id>, PMID: <pub-id pub-id-type="pmid">11007299</pub-id></citation></ref>
<ref id="ref43"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Colombo</surname> <given-names>D.</given-names></name> <name><surname>Serino</surname> <given-names>S.</given-names></name> <name><surname>Tuena</surname> <given-names>C.</given-names></name> <name><surname>Pedroli</surname> <given-names>E.</given-names></name> <name><surname>Dakanalis</surname> <given-names>A.</given-names></name> <name><surname>Cipresso</surname> <given-names>P.</given-names></name> <etal/></person-group>. (<year>2017</year>). <article-title>Egocentric and allocentric spatial reference frames in aging: A systematic review</article-title>. <source>Neurosci. Biobehav. Rev.</source> <volume>80</volume>, <fpage>605</fpage>&#x2013;<lpage>621</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.neubiorev.2017.07.012</pub-id>, PMID: <pub-id pub-id-type="pmid">28760627</pub-id></citation></ref>
<ref id="ref44"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Constantinescu</surname> <given-names>A. O.</given-names></name> <name><surname>O&#x2019;Reilly</surname> <given-names>J. X.</given-names></name> <name><surname>Behrens</surname> <given-names>T. E. J.</given-names></name></person-group> (<year>2016</year>). <article-title>Organizing conceptual knowledge in humans with a gridlike code</article-title>. <source>Science</source> <volume>352</volume>, <fpage>1464</fpage>&#x2013;<lpage>1468</lpage>. doi: <pub-id pub-id-type="doi">10.1126/science.aaf0941</pub-id>, PMID: <pub-id pub-id-type="pmid">27313047</pub-id></citation></ref>
<ref id="ref45"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Cook</surname> <given-names>D.</given-names></name> <name><surname>Kesner</surname> <given-names>R. P.</given-names></name></person-group> (<year>1988</year>). <article-title>Caudate nucleus and memory for egocentric localization</article-title>. <source>Behav. Neural Biol.</source> <volume>49</volume>, <fpage>332</fpage>&#x2013;<lpage>343</lpage>. doi: <pub-id pub-id-type="doi">10.1016/s0163-1047(88)90338-x</pub-id>, PMID: <pub-id pub-id-type="pmid">3408445</pub-id></citation></ref>
<ref id="ref46"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Corazzini</surname> <given-names>L. L.</given-names></name> <name><surname>Tinti</surname> <given-names>C.</given-names></name> <name><surname>Schmidt</surname> <given-names>S.</given-names></name> <name><surname>Mirandola</surname> <given-names>C.</given-names></name> <name><surname>Cornoldi</surname> <given-names>C.</given-names></name></person-group> (<year>2010</year>). <article-title>Developing spatial knowledge in the absence of vision: Allocentric and egocentric representations generated by blind people when supported by auditory cues</article-title>. <source>Psychologica Belgica</source> <volume>50</volume>, <fpage>327</fpage>&#x2013;<lpage>334</lpage>. doi: <pub-id pub-id-type="doi">10.5334/pb-50-3-4-327</pub-id></citation></ref>
<ref id="ref47"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Coughlan</surname> <given-names>G.</given-names></name> <name><surname>Lacz&#x00F3;</surname> <given-names>J.</given-names></name> <name><surname>Hort</surname> <given-names>J.</given-names></name> <name><surname>Minihane</surname> <given-names>A. M.</given-names></name> <name><surname>Hornberger</surname> <given-names>M.</given-names></name></person-group> (<year>2018</year>). <article-title>Spatial navigation deficits - overlooked cognitive marker for preclinical Alzheimer disease?</article-title> <source>Nat. Rev. Neurol.</source> <volume>14</volume>, <fpage>496</fpage>&#x2013;<lpage>506</lpage>. doi: <pub-id pub-id-type="doi">10.1038/s41582-018-0031-x</pub-id>, PMID: <pub-id pub-id-type="pmid">29980763</pub-id></citation></ref>
<ref id="ref48"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Coutrot</surname> <given-names>A.</given-names></name> <name><surname>Schmidt</surname> <given-names>S.</given-names></name> <name><surname>Coutrot</surname> <given-names>L.</given-names></name> <name><surname>Pittman</surname> <given-names>J.</given-names></name> <name><surname>Hong</surname> <given-names>L.</given-names></name> <name><surname>Wiener</surname> <given-names>J. M.</given-names></name> <etal/></person-group>. (<year>2019</year>). <article-title>Virtual navigation tested on a mobile app is predictive of real-world wayfinding navigation performance</article-title>. <source>PLoS One</source> <volume>14</volume>:<fpage>e0213272</fpage>. doi: <pub-id pub-id-type="doi">10.1371/journal.pone.0213272</pub-id>, PMID: <pub-id pub-id-type="pmid">30883560</pub-id></citation></ref>
<ref id="ref49"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Cruse</surname> <given-names>H.</given-names></name> <name><surname>Wehner</surname> <given-names>R.</given-names></name></person-group> (<year>2011</year>). <article-title>No need for a cognitive map: decentralized memory for insect navigation</article-title>. <source>PLoS Comput. Biol.</source> <volume>7</volume>:<fpage>e1002009</fpage>. doi: <pub-id pub-id-type="doi">10.1371/journal.pcbi.1002009</pub-id>, PMID: <pub-id pub-id-type="pmid">21445233</pub-id></citation></ref>
<ref id="ref50"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Cummings</surname> <given-names>J. L.</given-names></name></person-group> (<year>2004</year>). <article-title>Drug therapy in Alzheimer&#x2019;s disease</article-title>. <source>N. Engl. J. Med.</source> <volume>351</volume>, <fpage>1911</fpage>&#x2013;<lpage>1913</lpage>. doi: <pub-id pub-id-type="doi">10.1056/nejm200410283511822</pub-id>, PMID: <pub-id pub-id-type="pmid">15509830</pub-id></citation></ref>
<ref id="ref51"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Danjo</surname> <given-names>T.</given-names></name> <name><surname>Toyoizumi</surname> <given-names>T.</given-names></name> <name><surname>Fujisawa</surname> <given-names>S.</given-names></name></person-group> (<year>2018</year>). <article-title>Spatial representations of self and other in the hippocampus</article-title>. <source>Science</source> <volume>359</volume>, <fpage>213</fpage>&#x2013;<lpage>218</lpage>. doi: <pub-id pub-id-type="doi">10.1126/science.aao3898</pub-id>, PMID: <pub-id pub-id-type="pmid">29326273</pub-id></citation></ref>
<ref id="ref52"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Daugherty</surname> <given-names>A. M.</given-names></name> <name><surname>Bender</surname> <given-names>A. R.</given-names></name> <name><surname>Yuan</surname> <given-names>P.</given-names></name> <name><surname>Raz</surname> <given-names>N.</given-names></name></person-group> (<year>2016</year>). <article-title>Changes in search path complexity and length during learning of a virtual water maze: age differences and differential associations with hippocampal subfield volumes</article-title>. <source>Cereb. Cortex</source> <volume>26</volume>, <fpage>2391</fpage>&#x2013;<lpage>2401</lpage>. doi: <pub-id pub-id-type="doi">10.1093/cercor/bhv061</pub-id>, PMID: <pub-id pub-id-type="pmid">25838036</pub-id></citation></ref>
<ref id="ref53"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Daugherty</surname> <given-names>A. M.</given-names></name> <name><surname>Raz</surname> <given-names>N.</given-names></name></person-group> (<year>2017</year>). <article-title>A virtual water maze revisited: two-year changes in navigation performance and their neural correlates in healthy adults</article-title>. <source>Neuro Image</source> <volume>146</volume>, <fpage>492</fpage>&#x2013;<lpage>506</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.neuroimage.2016.09.044</pub-id>, PMID: <pub-id pub-id-type="pmid">27659539</pub-id></citation></ref>
<ref id="ref54"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Davis</surname> <given-names>H.</given-names></name> <name><surname>Gurven</surname> <given-names>M.</given-names></name> <name><surname>Cashdan</surname> <given-names>E.</given-names></name></person-group> (<year>2023</year>). <article-title>Navigational experience and the preservation of spatial abilities into old age among a tropical forager-farmer population</article-title>. <source>Top. Cogn. Sci.</source> <volume>15</volume>, <fpage>187</fpage>&#x2013;<lpage>212</lpage>. doi: <pub-id pub-id-type="doi">10.1111/tops.12602</pub-id>, PMID: <pub-id pub-id-type="pmid">35170860</pub-id></citation></ref>
<ref id="ref55"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>den Heijer</surname> <given-names>T.</given-names></name> <name><surname>Geerlings</surname> <given-names>M. I.</given-names></name> <name><surname>Hoebeek</surname> <given-names>F. E.</given-names></name> <name><surname>Hofman</surname> <given-names>A.</given-names></name> <name><surname>Koudstaal</surname> <given-names>P. J.</given-names></name> <name><surname>Breteler</surname> <given-names>M. M.</given-names></name></person-group> (<year>2006</year>). <article-title>Use of hippocampal and amygdalar volumes on magnetic resonance imaging to predict dementia in cognitively intact elderly people</article-title>. <source>Arch. Gen. Psychiatry</source> <volume>63</volume>, <fpage>57</fpage>&#x2013;<lpage>62</lpage>. doi: <pub-id pub-id-type="doi">10.1001/archpsyc.63.1.57</pub-id>, PMID: <pub-id pub-id-type="pmid">16389197</pub-id></citation></ref>
<ref id="ref56"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Dickerson</surname> <given-names>B. C.</given-names></name> <name><surname>Eichenbaum</surname> <given-names>H.</given-names></name></person-group> (<year>2010</year>). <article-title>The episodic memory system: Neurocircuitry and disorders</article-title>. <source>Neuropsychopharmacology</source> <volume>35</volume>, <fpage>86</fpage>&#x2013;<lpage>104</lpage>. doi: <pub-id pub-id-type="doi">10.1038/npp.2009.126</pub-id>, PMID: <pub-id pub-id-type="pmid">19776728</pub-id></citation></ref>
<ref id="ref57"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Diersch</surname> <given-names>N.</given-names></name> <name><surname>Wolbers</surname> <given-names>T.</given-names></name></person-group> (<year>2019</year>). <article-title>The potential of virtual reality for spatial navigation research across the adult lifespan</article-title>. <source>J. Exp. Biol.</source> <volume>222</volume>, 1&#x2013;9. doi: <pub-id pub-id-type="doi">10.1242/jeb.187252</pub-id></citation></ref>
<ref id="ref58"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Driscoll</surname> <given-names>I.</given-names></name> <name><surname>Hamilton</surname> <given-names>D. A.</given-names></name> <name><surname>Petropoulos</surname> <given-names>H.</given-names></name> <name><surname>Yeo</surname> <given-names>R. A.</given-names></name> <name><surname>Brooks</surname> <given-names>W. M.</given-names></name> <name><surname>Baumgartner</surname> <given-names>R. N.</given-names></name> <etal/></person-group>. (<year>2003</year>). <article-title>The aging Hippocampus: cognitive, biochemical and structural findings</article-title>. <source>Cereb. Cortex</source> <volume>13</volume>, <fpage>1344</fpage>&#x2013;<lpage>1351</lpage>. doi: <pub-id pub-id-type="doi">10.1093/cercor/bhg081</pub-id>, PMID: <pub-id pub-id-type="pmid">14615299</pub-id></citation></ref>
<ref id="ref59"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Eichenbaum</surname> <given-names>H.</given-names></name></person-group> (<year>2017</year>). <article-title>The role of the hippocampus in navigation is memory</article-title>. <source>J. Neurophysiol.</source> <volume>117</volume>, <fpage>1785</fpage>&#x2013;<lpage>1796</lpage>. doi: <pub-id pub-id-type="doi">10.1152/jn.00005.2017</pub-id>, PMID: <pub-id pub-id-type="pmid">28148640</pub-id></citation></ref>
<ref id="ref60"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ekstrom</surname> <given-names>A. D.</given-names></name> <name><surname>Arnold</surname> <given-names>A. E.</given-names></name> <name><surname>Iaria</surname> <given-names>G.</given-names></name></person-group> (<year>2014</year>). <article-title>A critical review of the allocentric spatial representation and its neural underpinnings: toward a network-based perspective</article-title>. <source>Front. Hum. Neurosci.</source> <volume>8</volume>:<fpage>113369</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fnhum.2014.00803</pub-id>, PMID: <pub-id pub-id-type="pmid">25346679</pub-id></citation></ref>
<ref id="ref61"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Epstein</surname> <given-names>R. A.</given-names></name> <name><surname>Higgins</surname> <given-names>J. S.</given-names></name></person-group> (<year>2007</year>). <article-title>Differential parahippocampal and retrosplenial involvement in three types of visual scene recognition</article-title>. <source>Cereb. Cortex</source> <volume>17</volume>, <fpage>1680</fpage>&#x2013;<lpage>1693</lpage>. doi: <pub-id pub-id-type="doi">10.1093/cercor/bhl079</pub-id>, PMID: <pub-id pub-id-type="pmid">16997905</pub-id></citation></ref>
<ref id="ref62"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Epstein</surname> <given-names>R. A.</given-names></name> <name><surname>Patai</surname> <given-names>E. Z.</given-names></name> <name><surname>Julian</surname> <given-names>J. B.</given-names></name> <name><surname>Spiers</surname> <given-names>H. J.</given-names></name></person-group> (<year>2017</year>). <article-title>The cognitive map in humans: spatial navigation and beyond</article-title>. <source>Nat. Neurosci.</source> <volume>20</volume>, <fpage>1504</fpage>&#x2013;<lpage>1513</lpage>. doi: <pub-id pub-id-type="doi">10.1038/nn.4656</pub-id>, PMID: <pub-id pub-id-type="pmid">29073650</pub-id></citation></ref>
<ref id="ref63"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Etienne</surname> <given-names>A. S.</given-names></name> <name><surname>Jeffery</surname> <given-names>K. J.</given-names></name></person-group> (<year>2004</year>). <article-title>Path integration in mammals</article-title>. <source>Hippocampus</source> <volume>14</volume>, <fpage>180</fpage>&#x2013;<lpage>192</lpage>. doi: <pub-id pub-id-type="doi">10.1002/hipo.10173</pub-id>, PMID: <pub-id pub-id-type="pmid">15098724</pub-id></citation></ref>
<ref id="ref64"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Fernandez-Baizan</surname> <given-names>C.</given-names></name> <name><surname>Arias</surname> <given-names>J. L.</given-names></name> <name><surname>Mendez</surname> <given-names>M.</given-names></name></person-group> (<year>2021</year>). <article-title>Spatial orientation assessment in preschool children: egocentric and allocentric frameworks</article-title>. <source>Appl. Neuropsychol. Child</source> <volume>10</volume>, <fpage>171</fpage>&#x2013;<lpage>193</lpage>. doi: <pub-id pub-id-type="doi">10.1080/21622965.2019.1630278</pub-id>, PMID: <pub-id pub-id-type="pmid">31268354</pub-id></citation></ref>
<ref id="ref65"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Fiete</surname> <given-names>I. R.</given-names></name> <name><surname>Burak</surname> <given-names>Y.</given-names></name> <name><surname>Brookings</surname> <given-names>T.</given-names></name></person-group> (<year>2008</year>). <article-title>What grid cells convey about rat location</article-title>. <source>J. Neurosci.</source> <volume>28</volume>, <fpage>6858</fpage>&#x2013;<lpage>6871</lpage>. doi: <pub-id pub-id-type="doi">10.1523/JNEUROSCI.5684-07.2008</pub-id>, PMID: <pub-id pub-id-type="pmid">18596161</pub-id></citation></ref>
<ref id="ref66"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Filimon</surname> <given-names>F.</given-names></name></person-group> (<year>2015</year>). <article-title>Are all spatial reference frames egocentric? Reinterpreting evidence for Allocentric, object-centered, or world-centered reference frames</article-title>. <source>Front. Hum. Neurosci.</source> <volume>9</volume>:<fpage>648</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fnhum.2015.00648</pub-id>, PMID: <pub-id pub-id-type="pmid">26696861</pub-id></citation></ref>
<ref id="ref67"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Fischer</surname> <given-names>J. H.</given-names></name> <name><surname>Freake</surname> <given-names>M. J.</given-names></name> <name><surname>Borland</surname> <given-names>S. C.</given-names></name> <name><surname>Phillips</surname> <given-names>J. B.</given-names></name></person-group> (<year>2001</year>). <article-title>Evidence for the use of magnetic map information by an amphibian</article-title>. <source>Anim. Behav.</source> <volume>62</volume>, <fpage>1</fpage>&#x2013;<lpage>10</lpage>. doi: <pub-id pub-id-type="doi">10.1006/anbe.2000.1722</pub-id></citation></ref>
<ref id="ref68"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Fleet</surname> <given-names>D.</given-names></name> <name><surname>Weiss</surname> <given-names>Y.</given-names></name></person-group> (<year>2006</year>). &#x201C;<article-title>Optical flow estimation</article-title>&#x201D; in <source>Handbook of mathematical models in computer vision</source>. eds. <person-group person-group-type="editor"><name><surname>Paragios</surname> <given-names>N.</given-names></name> <name><surname>Chen</surname> <given-names>Y.</given-names></name> <name><surname>Faugeras</surname> <given-names>O.</given-names></name></person-group> (<publisher-name>Boston, Massachusetts: Springer</publisher-name>), <fpage>237</fpage>&#x2013;<lpage>257</lpage>.</citation></ref>
<ref id="ref69"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Foley</surname> <given-names>R. T.</given-names></name> <name><surname>Whitwell</surname> <given-names>R. L.</given-names></name> <name><surname>Goodale</surname> <given-names>M. A.</given-names></name></person-group> (<year>2015</year>). <article-title>The two-visual-systems hypothesis and the perspectival features of visual experience</article-title>. <source>Conscious. Cogn.</source> <volume>35</volume>, <fpage>225</fpage>&#x2013;<lpage>233</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.concog.2015.03.005</pub-id>, PMID: <pub-id pub-id-type="pmid">25818025</pub-id></citation></ref>
<ref id="ref70"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gabrielli</surname> <given-names>S.</given-names></name> <name><surname>Rogers</surname> <given-names>Y.</given-names></name> <name><surname>Scaife</surname> <given-names>M.</given-names></name></person-group> (<year>2000</year>). <article-title>Young children&#x2019;s spatial representations developed through exploration of a desktop virtual reality scene</article-title>. <source>Educ. Inf. Technol.</source> <volume>5</volume>, <fpage>251</fpage>&#x2013;<lpage>262</lpage>. doi: <pub-id pub-id-type="doi">10.1023/A:1012097322806</pub-id></citation></ref>
<ref id="ref71"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gazova</surname> <given-names>I.</given-names></name> <name><surname>Lacz&#x00F3;</surname> <given-names>J.</given-names></name> <name><surname>Rubinova</surname> <given-names>E.</given-names></name> <name><surname>Mokrisova</surname> <given-names>I.</given-names></name> <name><surname>Hyncicova</surname> <given-names>E.</given-names></name> <name><surname>Andel</surname> <given-names>R.</given-names></name> <etal/></person-group>. (<year>2013</year>). <article-title>Spatial navigation in young versus older adults</article-title>. <source>Front. Aging Neurosci.</source> <volume>5</volume>:<fpage>94</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fnagi.2013.00094</pub-id>, PMID: <pub-id pub-id-type="pmid">24391585</pub-id></citation></ref>
<ref id="ref72"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gil</surname> <given-names>M.</given-names></name> <name><surname>Ancau</surname> <given-names>M.</given-names></name> <name><surname>Schlesiger</surname> <given-names>M. I.</given-names></name> <name><surname>Neitz</surname> <given-names>A.</given-names></name> <name><surname>Allen</surname> <given-names>K.</given-names></name> <name><surname>De Marco</surname> <given-names>R. J.</given-names></name> <etal/></person-group>. (<year>2018</year>). <article-title>Impaired path integration in mice with disrupted grid cell firing</article-title>. <source>Nat. Neurosci.</source> <volume>21</volume>, <fpage>81</fpage>&#x2013;<lpage>91</lpage>. doi: <pub-id pub-id-type="doi">10.1038/s41593-017-0039-3</pub-id>, PMID: <pub-id pub-id-type="pmid">29230055</pub-id></citation></ref>
<ref id="ref73"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gothard</surname> <given-names>K. M.</given-names></name> <name><surname>Hoffman</surname> <given-names>K. L.</given-names></name> <name><surname>Battaglia</surname> <given-names>F. P.</given-names></name> <name><surname>McNaughton</surname> <given-names>B. L.</given-names></name></person-group> (<year>2001</year>). <article-title>Dentate gyrus and ca1 ensemble activity during spatial reference frame shifts in the presence and absence of visual input</article-title>. <source>J. Neurosci. Off. J. Soc. Neurosci.</source> <volume>21</volume>, <fpage>7284</fpage>&#x2013;<lpage>7292</lpage>. doi: <pub-id pub-id-type="doi">10.1523/JNEUROSCI.21-18-07284.2001</pub-id>, PMID: <pub-id pub-id-type="pmid">11549738</pub-id></citation></ref>
<ref id="ref74"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gould</surname> <given-names>J. L.</given-names></name></person-group> (<year>1986</year>). <article-title>The locale map of honey bees: do insects have cognitive maps?</article-title> <source>Science</source> <volume>232</volume>, <fpage>861</fpage>&#x2013;<lpage>863</lpage>. doi: <pub-id pub-id-type="doi">10.1126/science.232.4752.861</pub-id>, PMID: <pub-id pub-id-type="pmid">17755968</pub-id></citation></ref>
<ref id="ref75"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Grush</surname> <given-names>R.</given-names></name></person-group> (<year>2000</year>). <article-title>Self, world and space: the meaning and mechanisms of ego- and allocentric spatial representation</article-title>. <source>Brain and Mind</source> <volume>1</volume>, <fpage>59</fpage>&#x2013;<lpage>92</lpage>. doi: <pub-id pub-id-type="doi">10.1023/A:1010039705798</pub-id></citation></ref>
<ref id="ref76"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gunning-Dixon</surname> <given-names>F. M.</given-names></name> <name><surname>Head</surname> <given-names>D.</given-names></name> <name><surname>McQuain</surname> <given-names>J.</given-names></name> <name><surname>Acker</surname> <given-names>J. D.</given-names></name> <name><surname>Raz</surname> <given-names>N.</given-names></name></person-group> (<year>1998</year>). <article-title>Differential aging of the human striatum: a prospective MR imaging study</article-title>. <source>Am. J. Neuroradiol.</source> <volume>19</volume>, <fpage>1501</fpage>&#x2013;<lpage>1507</lpage>.</citation></ref>
<ref id="ref6800"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Guyer</surname> <given-names>P.</given-names></name> <name><surname>Wood</surname> <given-names>A. W.</given-names></name></person-group> (Eds.). (<year>1998</year>). <article-title>The Cambridge edition of the works of Immanuel Kant</article-title>. (<publisher-name>Cambridge: Cambridge University Press</publisher-name>).</citation></ref>
<ref id="ref77"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hafting</surname> <given-names>T.</given-names></name> <name><surname>Fyhn</surname> <given-names>M.</given-names></name> <name><surname>Molden</surname> <given-names>S.</given-names></name> <name><surname>Moser</surname> <given-names>M. B.</given-names></name> <name><surname>Moser</surname> <given-names>E. I.</given-names></name></person-group> (<year>2005</year>). <article-title>Microstructure of a spatial map in the entorhinal cortex</article-title>. <source>Nature</source> <volume>436</volume>, <fpage>801</fpage>&#x2013;<lpage>806</lpage>. doi: <pub-id pub-id-type="doi">10.1038/nature03721</pub-id>, PMID: <pub-id pub-id-type="pmid">15965463</pub-id></citation></ref>
<ref id="ref78"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Herweg</surname> <given-names>N. A.</given-names></name> <name><surname>Kahana</surname> <given-names>M. J.</given-names></name></person-group> (<year>2018</year>). <article-title>Spatial representations in the human brain</article-title>. <source>Front. Hum. Neurosci.</source> <volume>12</volume>:<fpage>297</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fnhum.2018.00297</pub-id>, PMID: <pub-id pub-id-type="pmid">30104966</pub-id></citation></ref>
<ref id="ref79"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hort</surname> <given-names>J.</given-names></name> <name><surname>Lacz&#x00F3;</surname> <given-names>J.</given-names></name> <name><surname>Vyhn&#x00E1;lek</surname> <given-names>M.</given-names></name> <name><surname>Bojar</surname> <given-names>M.</given-names></name> <name><surname>Bures</surname> <given-names>J.</given-names></name> <name><surname>Vlcek</surname> <given-names>K.</given-names></name></person-group> (<year>2007</year>). <article-title>Spatial navigation deficit in amnestic mild cognitive impairment</article-title>. <source>Proc. Natl. Acad. Sci. USA</source> <volume>104</volume>, <fpage>4042</fpage>&#x2013;<lpage>4047</lpage>. doi: <pub-id pub-id-type="doi">10.1073/pnas.0611314104</pub-id>, PMID: <pub-id pub-id-type="pmid">17360474</pub-id></citation></ref>
<ref id="ref80"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Howett</surname> <given-names>D.</given-names></name> <name><surname>Castegnaro</surname> <given-names>A.</given-names></name> <name><surname>Krzywicka</surname> <given-names>K.</given-names></name> <name><surname>Hagman</surname> <given-names>J.</given-names></name> <name><surname>Marchment</surname> <given-names>D.</given-names></name> <name><surname>Henson</surname> <given-names>R.</given-names></name> <etal/></person-group>. (<year>2019</year>). <article-title>Differentiation of mild cognitive impairment using an entorhinal cortex-based test of virtual reality navigation</article-title>. <source>Brain J. Neurol.</source> <volume>142</volume>, <fpage>1751</fpage>&#x2013;<lpage>1766</lpage>. doi: <pub-id pub-id-type="doi">10.1093/brain/awz116</pub-id>, PMID: <pub-id pub-id-type="pmid">31121601</pub-id></citation></ref>
<ref id="ref81"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Howlin</surname> <given-names>P.</given-names></name> <name><surname>Baron-Cohen</surname> <given-names>S.</given-names></name> <name><surname>Hadwin</surname> <given-names>J.</given-names></name></person-group> (<year>1999</year>). <source>Teaching children with autism to mind-read: A practical guide for teachers and parents</source>. Chichester: <publisher-name>Wiley &#x0026; Sons</publisher-name>.</citation></ref>
<ref id="ref82"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Huttenlocher</surname> <given-names>J.</given-names></name> <name><surname>Presson</surname> <given-names>C. C.</given-names></name></person-group> (<year>1973</year>). <article-title>Mental rotation and the perspective problem</article-title>. <source>Cogn. Psychol.</source> <volume>4</volume>, <fpage>277</fpage>&#x2013;<lpage>299</lpage>. doi: <pub-id pub-id-type="doi">10.1016/0010-0285(73)90015-7</pub-id></citation></ref>
<ref id="ref83"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Iachini</surname> <given-names>T.</given-names></name> <name><surname>Iavarone</surname> <given-names>A.</given-names></name> <name><surname>Senese</surname> <given-names>V.</given-names></name> <name><surname>Ruotolo</surname> <given-names>F.</given-names></name> <name><surname>Ruggiero</surname> <given-names>G.</given-names></name></person-group> (<year>2009</year>). <article-title>Visuospatial memory in healthy elderly, AD and MCI: A review</article-title>. <source>Curr. Aging Sci.</source> <volume>2</volume>, <fpage>43</fpage>&#x2013;<lpage>59</lpage>. doi: <pub-id pub-id-type="doi">10.2174/1874609810902010043</pub-id>, PMID: <pub-id pub-id-type="pmid">20021398</pub-id></citation></ref>
<ref id="ref84"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Iachini</surname> <given-names>T.</given-names></name> <name><surname>Ruggiero</surname> <given-names>G.</given-names></name> <name><surname>Ruotolo</surname> <given-names>F.</given-names></name></person-group> (<year>2014</year>). <article-title>Does blindness affect egocentric and allocentric frames of reference in small and large scale spaces?</article-title> <source>Behav. Brain Res.</source> <volume>273</volume>, <fpage>73</fpage>&#x2013;<lpage>81</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.bbr.2014.07.032</pub-id>, PMID: <pub-id pub-id-type="pmid">25078290</pub-id></citation></ref>
<ref id="ref85"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Iaria</surname> <given-names>G.</given-names></name> <name><surname>Chen</surname> <given-names>J.-K.</given-names></name> <name><surname>Guariglia</surname> <given-names>C.</given-names></name> <name><surname>Ptito</surname> <given-names>A.</given-names></name> <name><surname>Petrides</surname> <given-names>M.</given-names></name></person-group> (<year>2007</year>). <article-title>Retrosplenial and hippocampal brain regions in human navigation: complementary functional contributions to the formation and use of cognitive maps</article-title>. <source>Eur. J. Neurosci.</source> <volume>25</volume>, <fpage>890</fpage>&#x2013;<lpage>899</lpage>. doi: <pub-id pub-id-type="doi">10.1111/j.1460-9568.2007.05371.x</pub-id>, PMID: <pub-id pub-id-type="pmid">17298595</pub-id></citation></ref>
<ref id="ref86"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Iaria</surname> <given-names>G.</given-names></name> <name><surname>Palermo</surname> <given-names>L.</given-names></name> <name><surname>Committeri</surname> <given-names>G.</given-names></name> <name><surname>Barton</surname> <given-names>J. J.</given-names></name></person-group> (<year>2009</year>). <article-title>Age differences in the formation and use of cognitive maps</article-title>. <source>Behav. Brain Res.</source> <volume>196</volume>, <fpage>187</fpage>&#x2013;<lpage>191</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.bbr.2008.08.040</pub-id></citation></ref>
<ref id="ref87"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Iaria</surname> <given-names>G.</given-names></name> <name><surname>Petrides</surname> <given-names>M.</given-names></name> <name><surname>Dagher</surname> <given-names>A.</given-names></name> <name><surname>Pike</surname> <given-names>B.</given-names></name> <name><surname>Bohbot</surname> <given-names>V. D.</given-names></name></person-group> (<year>2003</year>). <article-title>Cognitive strategies dependent on the hippocampus and caudate nucleus in human navigation: variability and change with practice</article-title>. <source>J. Neurosci.</source> <volume>23</volume>, <fpage>5945</fpage>&#x2013;<lpage>5952</lpage>. doi: <pub-id pub-id-type="doi">10.1523/jneurosci.23-13-05945.2003</pub-id>, PMID: <pub-id pub-id-type="pmid">12843299</pub-id></citation></ref>
<ref id="ref88"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Jayakumar</surname> <given-names>R. P.</given-names></name> <name><surname>Madhav</surname> <given-names>M. S.</given-names></name> <name><surname>Savelli</surname> <given-names>F.</given-names></name> <name><surname>Blair</surname> <given-names>H. T.</given-names></name> <name><surname>Cowan</surname> <given-names>N. J.</given-names></name> <name><surname>Knierim</surname> <given-names>J. J.</given-names></name></person-group> (<year>2019</year>). <article-title>Recalibration of path integration in hippocampal place cells</article-title>. <source>Nature</source> <volume>566</volume>, <fpage>533</fpage>&#x2013;<lpage>537</lpage>. doi: <pub-id pub-id-type="doi">10.1038/s41586-019-0939-3</pub-id>, PMID: <pub-id pub-id-type="pmid">30742074</pub-id></citation></ref>
<ref id="ref89"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Jheng</surname> <given-names>S. S.</given-names></name> <name><surname>Pai</surname> <given-names>M. C.</given-names></name></person-group> (<year>2009</year>). <article-title>Cognitive map in patients with mild Alzheimer&#x2019;s disease: A computer-generated arena study</article-title>. <source>Behav. Brain Res.</source> <volume>200</volume>, <fpage>42</fpage>&#x2013;<lpage>47</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.bbr.2008.12.029</pub-id>, PMID: <pub-id pub-id-type="pmid">19162077</pub-id></citation></ref>
<ref id="ref90"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kalov&#x00E1;</surname> <given-names>E.</given-names></name> <name><surname>Vl&#x010D;ek</surname> <given-names>K.</given-names></name> <name><surname>Jarol&#x00ED;mov&#x00E1;</surname> <given-names>E.</given-names></name> <name><surname>Bure&#x0161;</surname> <given-names>J.</given-names></name></person-group> (<year>2005</year>). <article-title>Allothetic orientation and sequential ordering of places is impaired in early stages of Alzheimer&#x2019;s disease: corresponding results in real space tests and computer tests</article-title>. <source>Behav. Brain Res.</source> <volume>159</volume>, <fpage>175</fpage>&#x2013;<lpage>186</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.bbr.2004.10.016</pub-id>, PMID: <pub-id pub-id-type="pmid">15817181</pub-id></citation></ref>
<ref id="ref91"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Kant</surname> <given-names>I.</given-names></name></person-group> (<year>1998</year>). &#x201C;<article-title>The critic of pure reason</article-title>&#x201D; in <source>The Cambridge edition of the works of Immanuel Kant</source>. eds. <person-group person-group-type="editor"><name><surname>Guyer</surname> <given-names>P.</given-names></name> <name><surname>Wood</surname> <given-names>A. W.</given-names></name></person-group> (<publisher-name>Cambridge: Cambridge University Press</publisher-name>), <fpage>81</fpage>&#x2013;<lpage>205</lpage>.</citation></ref>
<ref id="ref92"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Karimani</surname> <given-names>F.</given-names></name> <name><surname>Asgari Taei</surname> <given-names>A.</given-names></name> <name><surname>Abolghasemi-Dehaghani</surname> <given-names>M. R.</given-names></name> <name><surname>Safari</surname> <given-names>M. S.</given-names></name> <name><surname>Dargahi</surname> <given-names>L.</given-names></name></person-group> (<year>2024</year>). <article-title>Impairment of entorhinal cortex network activity in Alzheimer's disease</article-title>. <source>Front. Aging Neurosci.</source> <volume>16</volume>:<fpage>1402573</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fnagi.2024.1402573</pub-id>, PMID: <pub-id pub-id-type="pmid">38882526</pub-id></citation></ref>
<ref id="ref93"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kaufman</surname> <given-names>J.</given-names></name> <name><surname>Needham</surname> <given-names>A.</given-names></name></person-group> (<year>1999</year>). <article-title>Objective spatial coding by 6.5-month-old infants in a visual dishabituation task</article-title>. <source>Dev. Sci.</source> <volume>2</volume>, <fpage>432</fpage>&#x2013;<lpage>441</lpage>. doi: <pub-id pub-id-type="doi">10.1111/1467-7687.00087</pub-id></citation></ref>
<ref id="ref94"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Keller</surname> <given-names>O.</given-names></name></person-group> (<year>2016</year>). <source>Space, structuring, figure: A prehistoric legacy. History and pedagogy of mathematics, Jul 2016</source>. <publisher-loc>France</publisher-loc>: <publisher-name>Montpellier</publisher-name>.</citation></ref>
<ref id="ref95"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Keysar</surname> <given-names>B.</given-names></name> <name><surname>Lin</surname> <given-names>S.</given-names></name> <name><surname>Barr</surname> <given-names>D. J.</given-names></name></person-group> (<year>2003</year>). <article-title>Limits on theory of mind use in adults</article-title>. <source>Cognition</source> <volume>89</volume>, <fpage>25</fpage>&#x2013;<lpage>41</lpage>. doi: <pub-id pub-id-type="doi">10.1016/s0010-0277(03)00064-7</pub-id></citation></ref>
<ref id="ref96"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kim</surname> <given-names>S.</given-names></name> <name><surname>Dede</surname> <given-names>A. J.</given-names></name> <name><surname>Hopkins</surname> <given-names>R. O.</given-names></name> <name><surname>Squire</surname> <given-names>L. R.</given-names></name></person-group> (<year>2015</year>). <article-title>Memory, scene construction, and the human hippocampus</article-title>. <source>Proc. Natl. Acad. Sci. USA</source> <volume>112</volume>, <fpage>4767</fpage>&#x2013;<lpage>4772</lpage>. doi: <pub-id pub-id-type="doi">10.1073/pnas.1503863112</pub-id>, PMID: <pub-id pub-id-type="pmid">25825712</pub-id></citation></ref>
<ref id="ref97"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kim</surname> <given-names>S.</given-names></name> <name><surname>Sapiurka</surname> <given-names>M.</given-names></name> <name><surname>Clark</surname> <given-names>R. E.</given-names></name> <name><surname>Squire</surname> <given-names>L. R.</given-names></name></person-group> (<year>2013</year>). <article-title>Contrasting effects on path integration after hippocampal damage in humans and rats</article-title>. <source>Proc. Natl. Acad. Sci. USA</source> <volume>110</volume>, <fpage>4732</fpage>&#x2013;<lpage>4737</lpage>. doi: <pub-id pub-id-type="doi">10.1073/pnas.1300869110</pub-id>, PMID: <pub-id pub-id-type="pmid">23404706</pub-id></citation></ref>
<ref id="ref98"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kirasic</surname> <given-names>K. C.</given-names></name></person-group> (<year>2000</year>). <article-title>Age differences in adults' spatial abilities, learning environmental layout, and wayfinding behavior</article-title>. <source>Spat. Cogn. Comput.</source> <volume>2</volume>, <fpage>117</fpage>&#x2013;<lpage>134</lpage>. doi: <pub-id pub-id-type="doi">10.1023/A:1011445624332</pub-id></citation></ref>
<ref id="ref99"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Klatzky</surname> <given-names>R. L.</given-names></name></person-group> (<year>1998</year>). <article-title>Allocentric and egocentric spatial representations: definitions, distinctions, and interconnections</article-title>. <source>Lect. Notes Comput. Sci</source> <volume>1404</volume>, <fpage>1</fpage>&#x2013;<lpage>17</lpage>. doi: <pub-id pub-id-type="doi">10.1007/3-540-69342-4_1</pub-id></citation></ref>
<ref id="ref100"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Klencklen</surname> <given-names>G.</given-names></name> <name><surname>Despr&#x00E9;s</surname> <given-names>O.</given-names></name> <name><surname>Dufour</surname> <given-names>A.</given-names></name></person-group> (<year>2012</year>). <article-title>What do we know about aging and spatial cognition? Reviews and perspectives</article-title>. <source>Ageing Research Reviews</source> <volume>11</volume>, <fpage>123</fpage>&#x2013;<lpage>135</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.arr.2011.10.001</pub-id>, PMID: <pub-id pub-id-type="pmid">22085884</pub-id></citation></ref>
<ref id="ref101"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kloo</surname> <given-names>D.</given-names></name> <name><surname>Sodian</surname> <given-names>B.</given-names></name> <name><surname>Kristen-Antonow</surname> <given-names>S.</given-names></name> <name><surname>Kim</surname> <given-names>S.</given-names></name> <name><surname>Paulus</surname> <given-names>M.</given-names></name></person-group> (<year>2021</year>). <article-title>Knowing minds: linking early perspective taking and later metacognitive insight</article-title>. <source>Br. J. Dev. Psychol.</source> <volume>39</volume>, <fpage>39</fpage>&#x2013;<lpage>53</lpage>. doi: <pub-id pub-id-type="doi">10.1111/bjdp.12359</pub-id>, PMID: <pub-id pub-id-type="pmid">33099788</pub-id></citation></ref>
<ref id="ref102"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Knudsen</surname> <given-names>E. I.</given-names></name> <name><surname>Konishi</surname> <given-names>M.</given-names></name></person-group> (<year>1978</year>). <article-title>A neural map of auditory space in the owl</article-title>. <source>Science</source> <volume>200</volume>, <fpage>795</fpage>&#x2013;<lpage>797</lpage>. doi: <pub-id pub-id-type="doi">10.1126/science.644324</pub-id>, PMID: <pub-id pub-id-type="pmid">644324</pub-id></citation></ref>
<ref id="ref103"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>K&#x00F6;nig</surname> <given-names>S. U.</given-names></name> <name><surname>Clay</surname> <given-names>V.</given-names></name> <name><surname>Nolte</surname> <given-names>D.</given-names></name> <name><surname>Duesberg</surname> <given-names>L.</given-names></name> <name><surname>Kuske</surname> <given-names>N.</given-names></name> <name><surname>K&#x00F6;nig</surname> <given-names>P.</given-names></name></person-group> (<year>2019</year>). <article-title>Learning of spatial properties of a large-scale Virtual City with an interactive map</article-title>. <source>Front. Hum. Neurosci.</source> <volume>13</volume>:<fpage>240</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fnhum.2019.00240</pub-id>, PMID: <pub-id pub-id-type="pmid">31354457</pub-id></citation></ref>
<ref id="ref104"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Konishi</surname> <given-names>K.</given-names></name> <name><surname>Etchamendy</surname> <given-names>N.</given-names></name> <name><surname>Roy</surname> <given-names>S.</given-names></name> <name><surname>Marighetto</surname> <given-names>A.</given-names></name> <name><surname>Rajah</surname> <given-names>N.</given-names></name> <name><surname>Bohbot</surname> <given-names>V. D.</given-names></name></person-group> (<year>2013</year>). <article-title>Decreased functional magnetic resonance imaging activity in the hippocampus in favor of the caudate nucleus in older adults tested in a virtual navigation task</article-title>. <source>Hippocampus</source> <volume>23</volume>, <fpage>1005</fpage>&#x2013;<lpage>1014</lpage>. doi: <pub-id pub-id-type="doi">10.1002/hipo.22181</pub-id>, PMID: <pub-id pub-id-type="pmid">23929534</pub-id></citation></ref>
<ref id="ref105"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Korthauer</surname> <given-names>L. E.</given-names></name> <name><surname>Nowak</surname> <given-names>N. T.</given-names></name> <name><surname>Moffat</surname> <given-names>S. D.</given-names></name> <name><surname>An</surname> <given-names>Y.</given-names></name> <name><surname>Rowland</surname> <given-names>L. M.</given-names></name> <name><surname>Barker</surname> <given-names>P. B.</given-names></name> <etal/></person-group>. (<year>2016</year>). <article-title>Correlates of virtual navigation performance in older adults</article-title>. <source>Neurobiol. Aging</source> <volume>39</volume>, <fpage>118</fpage>&#x2013;<lpage>127</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.neurobiolaging.2015.12.003</pub-id>, PMID: <pub-id pub-id-type="pmid">26923408</pub-id></citation></ref>
<ref id="ref106"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kov&#x00E1;cs</surname> <given-names>&#x00C1;. M.</given-names></name> <name><surname>T&#x00E9;gl&#x00E1;s</surname> <given-names>E.</given-names></name> <name><surname>Endress</surname> <given-names>A. D.</given-names></name></person-group> (<year>2010</year>). <article-title>The social sense: susceptibility to others' beliefs in human infants and adults</article-title>. <source>Science</source> <volume>330</volume>, <fpage>1830</fpage>&#x2013;<lpage>1834</lpage>. doi: <pub-id pub-id-type="doi">10.1126/science.1190792</pub-id>, PMID: <pub-id pub-id-type="pmid">21205671</pub-id></citation></ref>
<ref id="ref107"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kravitz</surname> <given-names>D. W.</given-names></name> <name><surname>Saleem</surname> <given-names>K. S.</given-names></name> <name><surname>Baker</surname> <given-names>C. I.</given-names></name> <name><surname>Mishkin</surname> <given-names>M.</given-names></name></person-group> (<year>2011</year>). <article-title>A new neural framework for visuospatial processing</article-title>. <source>Nat. Rev. Neurosci.</source> <volume>12</volume>, <fpage>217</fpage>&#x2013;<lpage>230</lpage>. doi: <pub-id pub-id-type="doi">10.1038/nrn3008</pub-id>, PMID: <pub-id pub-id-type="pmid">21415848</pub-id></citation></ref>
<ref id="ref108"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kunz</surname> <given-names>L.</given-names></name> <name><surname>Schr&#x00F6;der</surname> <given-names>N. V.</given-names></name> <name><surname>Lee</surname> <given-names>H.</given-names></name> <name><surname>Montag</surname> <given-names>C.</given-names></name> <name><surname>Lachmann</surname> <given-names>B.</given-names></name> <name><surname>Sariyska</surname> <given-names>R.</given-names></name> <etal/></person-group>. (<year>2015</year>). <article-title>Reduced grid-cell&#x2013;like representations in adults at genetic risk for Alzheimer&#x2019;s disease</article-title>. <source>Science</source> <volume>350</volume>, <fpage>430</fpage>&#x2013;<lpage>433</lpage>. doi: <pub-id pub-id-type="doi">10.1126/science.aac8128</pub-id>, PMID: <pub-id pub-id-type="pmid">26494756</pub-id></citation></ref>
<ref id="ref109"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kwak</surname> <given-names>Y. T.</given-names></name> <name><surname>Yang</surname> <given-names>Y.</given-names></name> <name><surname>Koo</surname> <given-names>M. S.</given-names></name></person-group> (<year>2015</year>). <article-title>Wandering in Dementia</article-title>. <source>Dementia Neurocognitive Disorders</source> <volume>14</volume>, <fpage>99</fpage>&#x2013;<lpage>105</lpage>. doi: <pub-id pub-id-type="doi">10.12779/dnd.2015.14.3.99</pub-id></citation></ref>
<ref id="ref110"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Landau</surname> <given-names>B.</given-names></name> <name><surname>Spelke</surname> <given-names>E. S.</given-names></name></person-group> (<year>1984</year>). <article-title>Geometric complexity and object search in infancy</article-title>. <source>Dev. Psychol.</source> <volume>24</volume>, <fpage>512</fpage>&#x2013;<lpage>521</lpage>. doi: <pub-id pub-id-type="doi">10.1037/0012-1649.24.4.512</pub-id>, PMID: <pub-id pub-id-type="pmid">40165438</pub-id></citation></ref>
<ref id="ref111"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Lee</surname> <given-names>S. A.</given-names></name> <name><surname>Spelke</surname> <given-names>E. S.</given-names></name></person-group> (<year>2010</year>). <article-title>Two systems of spatial representation underlying navigation</article-title>. <source>Exp. Brain Res.</source> <volume>206</volume>, <fpage>179</fpage>&#x2013;<lpage>188</lpage>. doi: <pub-id pub-id-type="doi">10.1007/s00221-010-2349-5</pub-id>, PMID: <pub-id pub-id-type="pmid">20614214</pub-id></citation></ref>
<ref id="ref112"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Lester</surname> <given-names>A. W.</given-names></name> <name><surname>Moffat</surname> <given-names>S. D.</given-names></name> <name><surname>Wiener</surname> <given-names>J. M.</given-names></name> <name><surname>Barnes</surname> <given-names>C. A.</given-names></name> <name><surname>Wolbers</surname> <given-names>T.</given-names></name></person-group> (<year>2017</year>). <article-title>The aging navigational system</article-title>. <source>Neuron</source> <volume>95</volume>, <fpage>1019</fpage>&#x2013;<lpage>1035</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.neuron.2017.06.037</pub-id>, PMID: <pub-id pub-id-type="pmid">28858613</pub-id></citation></ref>
<ref id="ref113"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Li</surname> <given-names>P.</given-names></name> <name><surname>Gleitman</surname> <given-names>L.</given-names></name></person-group> (<year>2002</year>). <article-title>Turning the tables: language and spatial reasoning</article-title>. <source>Cognition</source> <volume>83</volume>, <fpage>265</fpage>&#x2013;<lpage>294</lpage>. doi: <pub-id pub-id-type="doi">10.1016/s0010-0277(02)00009-4</pub-id>, PMID: <pub-id pub-id-type="pmid">11934404</pub-id></citation></ref>
<ref id="ref114"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Li</surname> <given-names>A. W. Y.</given-names></name> <name><surname>King</surname> <given-names>J.</given-names></name></person-group> (<year>2019</year>). <article-title>Spatial memory and navigation in ageing: A systematic review of MRI and fMRI studies in healthy participants</article-title>. <source>Neurosci. Biobehav. Rev.</source> <volume>103</volume>, <fpage>33</fpage>&#x2013;<lpage>49</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.neubiorev.2019.05.005</pub-id>, PMID: <pub-id pub-id-type="pmid">31129234</pub-id></citation></ref>
<ref id="ref115"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Loomis</surname> <given-names>J. M.</given-names></name> <name><surname>Klatzky</surname> <given-names>R. L.</given-names></name> <name><surname>Golledge</surname> <given-names>R. G.</given-names></name> <name><surname>Cicinelli</surname> <given-names>J. G.</given-names></name> <name><surname>Pellegrino</surname> <given-names>J. W.</given-names></name> <name><surname>Fry</surname> <given-names>P. A.</given-names></name></person-group> (<year>1993</year>). <article-title>Nonvisual navigation by blind and sighted: assessment of path integration ability</article-title>. <source>J. Exp. Psychol. Gen.</source> <volume>122</volume>, <fpage>73</fpage>&#x2013;<lpage>91</lpage>. doi: <pub-id pub-id-type="doi">10.1037//0096-3445.122.1.73</pub-id>, PMID: <pub-id pub-id-type="pmid">8440978</pub-id></citation></ref>
<ref id="ref116"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Loomis</surname> <given-names>J. M.</given-names></name> <name><surname>Klatzky</surname> <given-names>R. L.</given-names></name> <name><surname>Golledge</surname> <given-names>R. G.</given-names></name> <name><surname>Philbeck</surname> <given-names>J. W.</given-names></name></person-group> (<year>1999</year>). &#x201C;<article-title>Human navigation by path integration</article-title>&#x201D; in <source>Wayfinding behavior: Cognitive mapping and other spatial processes</source>. ed. <person-group person-group-type="editor"><name><surname>Golledge</surname> <given-names>R. G.</given-names></name></person-group> (<publisher-name>Baltimore: Johns Hopkins University Press</publisher-name>), <fpage>125</fpage>&#x2013;<lpage>151</lpage>. doi: <pub-id pub-id-type="doi">10.1037/0096-3445.122.1.73</pub-id></citation></ref>
<ref id="ref117"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>L&#x00F6;vd&#x00E9;n</surname> <given-names>M.</given-names></name> <name><surname>Schellenbach</surname> <given-names>M.</given-names></name> <name><surname>Grossman-Hutter</surname> <given-names>B.</given-names></name> <name><surname>Kr&#x00FC;ger</surname> <given-names>A.</given-names></name> <name><surname>Lindenberger</surname> <given-names>U.</given-names></name></person-group> (<year>2005</year>). <article-title>Environmental topography and postural control demands shape aging-associated decrements in spatial navigation performance</article-title>. <source>Psychol. Aging</source> <volume>20</volume>, <fpage>683</fpage>&#x2013;<lpage>694</lpage>. doi: <pub-id pub-id-type="doi">10.1037/0882-7974.20.4.683</pub-id>, PMID: <pub-id pub-id-type="pmid">16420142</pub-id></citation></ref>
<ref id="ref118"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Luria</surname> <given-names>A. R.</given-names></name></person-group> (<year>1973</year>). <source>The working brain: An introduction to neuropsychology</source>. New York: <publisher-name>Basic Books</publisher-name>.</citation></ref>
<ref id="ref119"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Mack</surname> <given-names>M. L.</given-names></name> <name><surname>Love</surname> <given-names>B. C.</given-names></name> <name><surname>Preston</surname> <given-names>A. R.</given-names></name></person-group> (<year>2016</year>). <article-title>Building concepts one episode at a time: the hippocampus and concept formation</article-title>. <source>Physiol. Behav.</source> <volume>176</volume>, <fpage>139</fpage>&#x2013;<lpage>148</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.physbeh.2017.03.040</pub-id>, PMID: <pub-id pub-id-type="pmid">28363838</pub-id></citation></ref>
<ref id="ref120"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Madl</surname> <given-names>T.</given-names></name> <name><surname>Franklin</surname> <given-names>S.</given-names></name> <name><surname>Chen</surname> <given-names>K.</given-names></name> <name><surname>Montaldi</surname> <given-names>D.</given-names></name> <name><surname>Trappl</surname> <given-names>R.</given-names></name></person-group> (<year>2016</year>). <article-title>Towards real-world capable spatial memory in the LIDA cognitive architecture</article-title>. <source>Biologically Inspired Cognitive Architectures</source> <volume>16</volume>, <fpage>87</fpage>&#x2013;<lpage>104</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.bica.2016.02.001</pub-id></citation></ref>
<ref id="ref121"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Maguire</surname> <given-names>E. A.</given-names></name> <name><surname>Burgess</surname> <given-names>N.</given-names></name> <name><surname>Donnett</surname> <given-names>J. G.</given-names></name> <name><surname>Frackowiak</surname> <given-names>R. S. J.</given-names></name> <name><surname>Frith</surname> <given-names>C. D.</given-names></name> <name><surname>Okeefe</surname> <given-names>J.</given-names></name></person-group> (<year>1998</year>). <article-title>Knowing where and getting there</article-title>. <source>Science</source> <volume>280</volume>, <fpage>921</fpage>&#x2013;<lpage>924</lpage>. doi: <pub-id pub-id-type="doi">10.1126/science.280.5365.921</pub-id>, PMID: <pub-id pub-id-type="pmid">9572740</pub-id></citation></ref>
<ref id="ref122"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Maguire</surname> <given-names>E. A.</given-names></name> <name><surname>Gadian</surname> <given-names>D. G.</given-names></name> <name><surname>Johnsrude</surname> <given-names>I. S.</given-names></name> <name><surname>Good</surname> <given-names>C. D.</given-names></name> <name><surname>Ashburner</surname> <given-names>J.</given-names></name> <name><surname>Frackowiak</surname> <given-names>R. S. J.</given-names></name> <etal/></person-group>. (<year>2000</year>). <article-title>Navigation-related structural change in the hippocampi of taxi drivers</article-title>. <source>Proc. Natl. Acad. Sci. USA</source> <volume>97</volume>, <fpage>4398</fpage>&#x2013;<lpage>4403</lpage>. doi: <pub-id pub-id-type="doi">10.1073/pnas.070039597</pub-id>, PMID: <pub-id pub-id-type="pmid">10716738</pub-id></citation></ref>
<ref id="ref123"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Markus</surname> <given-names>E. J.</given-names></name> <name><surname>Qin</surname> <given-names>Y. L.</given-names></name> <name><surname>Leonard</surname> <given-names>B.</given-names></name> <name><surname>Skaggs</surname> <given-names>W. E.</given-names></name> <name><surname>McNaughton</surname> <given-names>B. L.</given-names></name> <name><surname>Barnes</surname> <given-names>C. A.</given-names></name></person-group> (<year>1995</year>). <article-title>Interactions between location and task affect the spatial and directional firing of hippocampal neurons</article-title>. <source>J. Neurosci. Off. J. Soc. Neurosci.</source> <volume>15</volume>, <fpage>7079</fpage>&#x2013;<lpage>7094</lpage>. doi: <pub-id pub-id-type="doi">10.1523/JNEUROSCI.15-11-07079.1995</pub-id>, PMID: <pub-id pub-id-type="pmid">7472463</pub-id></citation></ref>
<ref id="ref124"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Marquardt</surname> <given-names>G.</given-names></name></person-group> (<year>2011</year>). <article-title>Wayfinding for people with dementia: A review of the role of architectural design</article-title>. <source>Health Environ. Res. Design J.</source> <volume>4</volume>, <fpage>75</fpage>&#x2013;<lpage>90</lpage>. doi: <pub-id pub-id-type="doi">10.1177/193758671100400207</pub-id>, PMID: <pub-id pub-id-type="pmid">21465436</pub-id></citation></ref>
<ref id="ref125"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>McNaughton</surname> <given-names>B. L.</given-names></name> <name><surname>Barnes</surname> <given-names>C. A.</given-names></name> <name><surname>Gerrard</surname> <given-names>J. L.</given-names></name> <name><surname>Gothard</surname> <given-names>K.</given-names></name> <name><surname>Jung</surname> <given-names>M. W.</given-names></name> <name><surname>Knierim</surname> <given-names>J. J.</given-names></name> <etal/></person-group>. (<year>1996</year>). <article-title>Deciphering the hippocampal polyglot: the hippocampus as a path integration system</article-title>. <source>J. Exp. Biol.</source> <volume>199</volume>, <fpage>173</fpage>&#x2013;<lpage>185</lpage>. doi: <pub-id pub-id-type="doi">10.1242/jeb.199.1.173</pub-id>, PMID: <pub-id pub-id-type="pmid">8576689</pub-id></citation></ref>
<ref id="ref126"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>McNaughton</surname> <given-names>B. L.</given-names></name> <name><surname>Battaglia</surname> <given-names>F. P.</given-names></name> <name><surname>Jensen</surname> <given-names>O.</given-names></name> <name><surname>Moser</surname> <given-names>E. I.</given-names></name> <name><surname>Moser</surname> <given-names>M. B.</given-names></name></person-group> (<year>2006</year>). <article-title>Path integration and the neural basis of the 'cognitive map'</article-title>. <source>Nat. Rev. Neurosci.</source> <volume>7</volume>, <fpage>663</fpage>&#x2013;<lpage>678</lpage>. doi: <pub-id pub-id-type="doi">10.1038/nrn1932</pub-id>, PMID: <pub-id pub-id-type="pmid">16858394</pub-id></citation></ref>
<ref id="ref127"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>McNaughton</surname> <given-names>B. L.</given-names></name> <name><surname>Chen</surname> <given-names>L. L.</given-names></name> <name><surname>Markus</surname> <given-names>E. J.</given-names></name></person-group> (<year>1991</year>). <article-title>"Dead reckoning," landmark learning, and the sense of direction: a neurophysiological and computational hypothesis</article-title>. <source>J. Cogn. Neurosci.</source> <volume>3</volume>, <fpage>190</fpage>&#x2013;<lpage>202</lpage>. doi: <pub-id pub-id-type="doi">10.1162/jocn.1991.3.2.190</pub-id>, PMID: <pub-id pub-id-type="pmid">23972093</pub-id></citation></ref>
<ref id="ref128"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Menzel</surname> <given-names>R.</given-names></name> <name><surname>Geiger</surname> <given-names>K.</given-names></name> <name><surname>Joerges</surname> <given-names>J.</given-names></name> <name><surname>Muller</surname> <given-names>U.</given-names></name> <name><surname>Chittka</surname> <given-names>L.</given-names></name></person-group> (<year>1998</year>). <article-title>Bees travel novel homeward routes by integrating separately acquired vector memories</article-title>. <source>Anim. Behav.</source> <volume>55</volume>, <fpage>139</fpage>&#x2013;<lpage>152</lpage>. doi: <pub-id pub-id-type="doi">10.1006/anbe.1997.0574</pub-id>, PMID: <pub-id pub-id-type="pmid">9480680</pub-id></citation></ref>
<ref id="ref129"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Menzel</surname> <given-names>R.</given-names></name> <name><surname>Greggers</surname> <given-names>U.</given-names></name> <name><surname>Smith</surname> <given-names>A.</given-names></name> <name><surname>Berger</surname> <given-names>S.</given-names></name> <name><surname>Brandt</surname> <given-names>R.</given-names></name> <name><surname>Brunke</surname> <given-names>S.</given-names></name> <etal/></person-group>. (<year>2005</year>). <article-title>Honey bees navigate according to a map-like spatial memory</article-title>. <source>Proc. Natl. Acad. Sci. USA</source> <volume>102</volume>, <fpage>3040</fpage>&#x2013;<lpage>3045</lpage>. doi: <pub-id pub-id-type="doi">10.1073/pnas.0408550102</pub-id>, PMID: <pub-id pub-id-type="pmid">15710880</pub-id></citation></ref>
<ref id="ref130"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Merriman</surname> <given-names>N. A.</given-names></name> <name><surname>Ond&#x0159;ej</surname> <given-names>J.</given-names></name> <name><surname>Roudaia</surname> <given-names>E.</given-names></name> <name><surname>Sullivan</surname> <given-names>C. O.</given-names></name> <name><surname>Newell</surname> <given-names>F. N.</given-names></name></person-group> (<year>2016</year>). <article-title>Familiar environments enhance object and spatial memory in both younger and older adults</article-title>. <source>Exp. Brain Res.</source> <volume>234</volume>, <fpage>1555</fpage>&#x2013;<lpage>1574</lpage>. doi: <pub-id pub-id-type="doi">10.1007/s00221-016-4557-0</pub-id>, PMID: <pub-id pub-id-type="pmid">26821318</pub-id></citation></ref>
<ref id="ref131"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Mesulam</surname> <given-names>M. M.</given-names></name></person-group> (<year>1981</year>). <article-title>A cortical network for directed attention and unilateral neglect</article-title>. <source>Ann. Neurol.</source> <volume>10</volume>, <fpage>309</fpage>&#x2013;<lpage>325</lpage>. doi: <pub-id pub-id-type="doi">10.1002/ana.410100402</pub-id>, PMID: <pub-id pub-id-type="pmid">7032417</pub-id></citation></ref>
<ref id="ref132"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Mishkin</surname> <given-names>M.</given-names></name> <name><surname>Suzuki</surname> <given-names>W. A.</given-names></name> <name><surname>Gadian</surname> <given-names>D. G.</given-names></name> <name><surname>Vargha-Khadem</surname> <given-names>F.</given-names></name></person-group> (<year>1997</year>). <article-title>Hierarchical organization of cognitive memory. <italic>Philosophical transactions of the Royal Society of London</italic></article-title>. <source>Series B Biol. Sci.</source> <volume>352</volume>, <fpage>1461</fpage>&#x2013;<lpage>1467</lpage>. doi: <pub-id pub-id-type="doi">10.1098/rstb.1997.0132</pub-id>, PMID: <pub-id pub-id-type="pmid">9368934</pub-id></citation></ref>
<ref id="ref133"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Mitolo</surname> <given-names>M.</given-names></name> <name><surname>Borella</surname> <given-names>E.</given-names></name> <name><surname>Meneghetti</surname> <given-names>C.</given-names></name> <name><surname>Carbone</surname> <given-names>E.</given-names></name> <name><surname>Pazzaglia</surname> <given-names>F.</given-names></name></person-group> (<year>2017</year>). <article-title>How to enhance route learning and visuospatial working memory in aging: a training for residential care home residents</article-title>. <source>Aging Ment. Health</source> <volume>21</volume>, <fpage>562</fpage>&#x2013;<lpage>570</lpage>. doi: <pub-id pub-id-type="doi">10.1080/13607863.2015.1132673</pub-id>, PMID: <pub-id pub-id-type="pmid">26745469</pub-id></citation></ref>
<ref id="ref134"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Mittelstaedt</surname> <given-names>H.</given-names></name> <name><surname>Mittelstaedt</surname> <given-names>M. L.</given-names></name></person-group> (<year>1982</year>). &#x201C;<article-title>Homing by path integration</article-title>&#x201D; in <source>Avian navigation. Proceedings in life sciences</source>. eds. <person-group person-group-type="editor"><name><surname>Papi</surname> <given-names>F.</given-names></name> <name><surname>Wallraff</surname> <given-names>H. G.</given-names></name></person-group> (<publisher-name>Berlin: Springer</publisher-name>), <fpage>290</fpage>&#x2013;<lpage>297</lpage>.</citation></ref>
<ref id="ref135"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Moffat</surname> <given-names>S. D.</given-names></name></person-group> (<year>2009</year>). <article-title>Aging and spatial navigation: what do we know and where do we go?</article-title> <source>Neuropsychol. Rev.</source> <volume>19</volume>, <fpage>478</fpage>&#x2013;<lpage>489</lpage>. doi: <pub-id pub-id-type="doi">10.1007/s11065-009-9120-3</pub-id>, PMID: <pub-id pub-id-type="pmid">19936933</pub-id></citation></ref>
<ref id="ref136"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Moffat</surname> <given-names>S. D.</given-names></name> <name><surname>Elkins</surname> <given-names>W.</given-names></name> <name><surname>Resnick</surname> <given-names>S. M.</given-names></name></person-group> (<year>2006</year>). <article-title>Age differences in the neural systems supporting human allocentric spatial navigation</article-title>. <source>Neurobiol. Aging</source> <volume>27</volume>, <fpage>965</fpage>&#x2013;<lpage>972</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.neurobiolaging.2005.05.011</pub-id>, PMID: <pub-id pub-id-type="pmid">15982787</pub-id></citation></ref>
<ref id="ref137"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Moffat</surname> <given-names>S. D.</given-names></name> <name><surname>Resnick</surname> <given-names>S. M.</given-names></name></person-group> (<year>2002</year>). <article-title>Effects of age on virtual environment place navigation and allocentric cognitive mapping</article-title>. <source>Behav. Neurosci.</source> <volume>116</volume>, <fpage>851</fpage>&#x2013;<lpage>859</lpage>. doi: <pub-id pub-id-type="doi">10.1037/0735-7044.116.5.851</pub-id>, PMID: <pub-id pub-id-type="pmid">12369805</pub-id></citation></ref>
<ref id="ref138"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Montello</surname> <given-names>D. R.</given-names></name></person-group> (<year>1993</year>). <article-title>Scale and multiple psychologies of space</article-title>. <source>Lecture Notes Comp. Sci.</source> <volume>716</volume>, <fpage>312</fpage>&#x2013;<lpage>321</lpage>. doi: <pub-id pub-id-type="doi">10.1007/3-540-57207-4_21</pub-id>, PMID: <pub-id pub-id-type="pmid">40117985</pub-id></citation></ref>
<ref id="ref139"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Montello</surname> <given-names>D. R.</given-names></name></person-group> (<year>1998</year>). &#x201C;<article-title>A new framework for understanding the Acquisition of Spatial Knowledge in large-scale environments</article-title>&#x201D; in <source>Spatial and temporal reasoning in geographic information systems</source>. eds. <person-group person-group-type="editor"><name><surname>Egenhofer</surname> <given-names>M. J.</given-names></name> <name><surname>Golledge</surname> <given-names>R. G.</given-names></name></person-group> (<publisher-name>Oxford University Press</publisher-name>), <fpage>143</fpage>&#x2013;<lpage>154</lpage>.</citation></ref>
<ref id="ref140"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Morris</surname> <given-names>R. G. M.</given-names></name> <name><surname>Garrud</surname> <given-names>P.</given-names></name> <name><surname>Rawlins</surname> <given-names>J. N. P.</given-names></name> <name><surname>O&#x2019;Keefe</surname> <given-names>J.</given-names></name></person-group> (<year>1982</year>). <article-title>Place navigation impaired in rats with hippocampal lesions</article-title>. <source>Nature</source> <volume>297</volume>, <fpage>681</fpage>&#x2013;<lpage>683</lpage>. doi: <pub-id pub-id-type="doi">10.1038/297681a0</pub-id>, PMID: <pub-id pub-id-type="pmid">7088155</pub-id></citation></ref>
<ref id="ref142"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Moser</surname> <given-names>E. I.</given-names></name> <name><surname>Kropff</surname> <given-names>E.</given-names></name> <name><surname>Moser</surname> <given-names>M. B.</given-names></name></person-group> (<year>2008</year>). <article-title>Place cells, grid cells, and the brain's spatial representation system</article-title>. <source>Annual Rev. Neurosc.</source> <volume>31</volume>, <fpage>69</fpage>&#x2013;<lpage>89</lpage>. doi: <pub-id pub-id-type="doi">10.1146/annurev.neuro.31.061307.090723</pub-id>, PMID: <pub-id pub-id-type="pmid">18284371</pub-id></citation></ref>
<ref id="ref143"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Muffato</surname> <given-names>V.</given-names></name> <name><surname>Meneghetti</surname> <given-names>C.</given-names></name> <name><surname>De Beni</surname> <given-names>R.</given-names></name></person-group> (<year>2016</year>). <article-title>Not all is lost in older adults' route learning: the role of visuo-spatial abilities and type of task</article-title>. <source>J. Environ. Psychol.</source> <volume>47</volume>, <fpage>230</fpage>&#x2013;<lpage>241</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.jenvp.2016.07.003</pub-id></citation></ref>
<ref id="ref144"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>M&#x00FC;ller</surname> <given-names>M.</given-names></name> <name><surname>Wehner</surname> <given-names>R.</given-names></name></person-group> (<year>1988</year>). <article-title>Path integration in desert ants, <italic>Cataglyphis fortis</italic></article-title>. <source>Proc. Natl. Acad. Sci. USA</source> <volume>85</volume>, <fpage>5287</fpage>&#x2013;<lpage>5290</lpage>. doi: <pub-id pub-id-type="doi">10.1073/pnas.85.14.5287</pub-id>, PMID: <pub-id pub-id-type="pmid">16593958</pub-id></citation></ref>
<ref id="ref145"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Nardini</surname> <given-names>M.</given-names></name> <name><surname>Burgess</surname> <given-names>N.</given-names></name> <name><surname>Breckenridge</surname> <given-names>K.</given-names></name> <name><surname>Atkinson</surname> <given-names>J.</given-names></name></person-group> (<year>2006</year>). <article-title>Differential developmental trajectories for egocentric, environmental and intrinsic frames of reference in spatial memory</article-title>. <source>Cognition</source> <volume>101</volume>, <fpage>153</fpage>&#x2013;<lpage>172</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.cognition.2005.09.005</pub-id>, PMID: <pub-id pub-id-type="pmid">16359653</pub-id></citation></ref>
<ref id="ref146"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Nardini</surname> <given-names>M.</given-names></name> <name><surname>Thomas</surname> <given-names>R. L.</given-names></name> <name><surname>Knowland</surname> <given-names>V. C.</given-names></name> <name><surname>Braddick</surname> <given-names>O. J.</given-names></name> <name><surname>Atkinson</surname> <given-names>J.</given-names></name></person-group> (<year>2009</year>). <article-title>A viewpoint-independent process for spatial reorientation</article-title>. <source>Cognition</source> <volume>112</volume>, <fpage>241</fpage>&#x2013;<lpage>248</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.cognition.2009.05.003</pub-id>, PMID: <pub-id pub-id-type="pmid">19501349</pub-id></citation></ref>
<ref id="ref147"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Navon</surname> <given-names>D.</given-names></name></person-group> (<year>1997</year>). <article-title>Forest before trees: the precedence of global features in visual perception</article-title>. <source>Cogn. Psychol.</source> <volume>9</volume>, <fpage>353</fpage>&#x2013;<lpage>383</lpage>. doi: <pub-id pub-id-type="doi">10.1016/0010-0285(77)90012-3</pub-id>, PMID: <pub-id pub-id-type="pmid">22394014</pub-id></citation></ref>
<ref id="ref148"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Newcombe</surname> <given-names>N. S.</given-names></name></person-group> (<year>2019</year>). <article-title>Navigation and the developing brain</article-title>. <source>J. Exp. Biol.</source> <volume>222</volume>, 1&#x2013;11. doi: <pub-id pub-id-type="doi">10.1242/jeb.186460</pub-id>, PMID: <pub-id pub-id-type="pmid">30728229</pub-id></citation></ref>
<ref id="ref149"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Newton</surname> <given-names>C.</given-names></name> <name><surname>Pope</surname> <given-names>M.</given-names></name> <name><surname>Rua</surname> <given-names>C.</given-names></name> <name><surname>Henson</surname> <given-names>R.</given-names></name> <name><surname>Ji</surname> <given-names>Z.</given-names></name> <name><surname>Burgess</surname> <given-names>N.</given-names></name> <etal/></person-group>. (<year>2024</year>). <article-title>Entorhinal-based path integration selectively predicts midlife risk of Alzheimer's disease</article-title>. <source>Alzheimers Dement.</source> <volume>20</volume>, <fpage>2779</fpage>&#x2013;<lpage>2793</lpage>. doi: <pub-id pub-id-type="doi">10.1002/alz.13733</pub-id>, PMID: <pub-id pub-id-type="pmid">38421123</pub-id></citation></ref>
<ref id="ref150"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>O&#x2019;Keefe</surname> <given-names>J.</given-names></name></person-group> (<year>1976</year>). <article-title>Place units in the hippocampus of the freely moving rat</article-title>. <source>Exp. Neurol.</source> <volume>51</volume>, <fpage>78</fpage>&#x2013;<lpage>109</lpage>. doi: <pub-id pub-id-type="doi">10.1016/0014-4886(76)90055-8</pub-id>, PMID: <pub-id pub-id-type="pmid">1261644</pub-id></citation></ref>
<ref id="ref151"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>O'Keefe</surname> <given-names>J.</given-names></name> <name><surname>Dostrovsky</surname> <given-names>J.</given-names></name></person-group> (<year>1971</year>). <article-title>The hippocampus as a spatial map. Preliminary evidence from unit activity in the freely-moving rat</article-title>. <source>Brain Res.</source> <volume>34</volume>, <fpage>171</fpage>&#x2013;<lpage>175</lpage>. doi: <pub-id pub-id-type="doi">10.1016/0006-8993(71)90358-1</pub-id>, PMID: <pub-id pub-id-type="pmid">5124915</pub-id></citation></ref>
<ref id="ref152"><citation citation-type="book"><person-group person-group-type="author"><name><surname>O'Keefe</surname> <given-names>J.</given-names></name> <name><surname>Nadel</surname> <given-names>L.</given-names></name></person-group> (<year>1978</year>). <source>The Hippocampus as a cognitive map</source>. Oxford: <publisher-name>Oxford University Press</publisher-name>.</citation></ref>
<ref id="ref153"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Omer</surname> <given-names>D. B.</given-names></name> <name><surname>Maimon</surname> <given-names>S. R.</given-names></name> <name><surname>Las</surname> <given-names>L.</given-names></name> <name><surname>Ulanovsky</surname> <given-names>N.</given-names></name></person-group> (<year>2018</year>). <article-title>Social place-cells in the bat hippocampus</article-title>. <source>Science</source> <volume>359</volume>, <fpage>218</fpage>&#x2013;<lpage>224</lpage>. doi: <pub-id pub-id-type="doi">10.1126/science.aao3474</pub-id>, PMID: <pub-id pub-id-type="pmid">29326274</pub-id></citation></ref>
<ref id="ref154"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>O'Shea</surname> <given-names>A.</given-names></name> <name><surname>Cohen</surname> <given-names>R. A.</given-names></name> <name><surname>Porges</surname> <given-names>E. C.</given-names></name> <name><surname>Nissim</surname> <given-names>N. R.</given-names></name> <name><surname>Woods</surname> <given-names>A. J.</given-names></name></person-group> (<year>2016</year>). <article-title>Cognitive aging and the Hippocampus in older adults</article-title>. <source>Front. Aging Neurosci.</source> <volume>8</volume>:<fpage>298</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fnagi.2016.00298</pub-id>, PMID: <pub-id pub-id-type="pmid">28008314</pub-id></citation></ref>
<ref id="ref155"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Papp</surname> <given-names>K. V.</given-names></name> <name><surname>Kaplan</surname> <given-names>R. F.</given-names></name> <name><surname>Springate</surname> <given-names>B.</given-names></name> <name><surname>Moscufo</surname> <given-names>N.</given-names></name> <name><surname>Wakefield</surname> <given-names>D. B.</given-names></name> <name><surname>Guttmann</surname> <given-names>C. R. G.</given-names></name> <etal/></person-group>. (<year>2014</year>). <article-title>Processing speed in normal aging: effects of white matter hyperintensities and hippocampal volume loss</article-title>. <source>Aging Neuropsychol. Cognit.</source> <volume>21</volume>, <fpage>197</fpage>&#x2013;<lpage>213</lpage>. doi: <pub-id pub-id-type="doi">10.1080/13825585.2013.795513</pub-id>, PMID: <pub-id pub-id-type="pmid">23895570</pub-id></citation></ref>
<ref id="ref156"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Parizkova</surname> <given-names>M.</given-names></name> <name><surname>Lerch</surname> <given-names>O.</given-names></name> <name><surname>Moffat</surname> <given-names>S. D.</given-names></name> <name><surname>Andel</surname> <given-names>R.</given-names></name> <name><surname>Mazancova</surname> <given-names>A. F.</given-names></name> <name><surname>Nedelska</surname> <given-names>Z.</given-names></name> <etal/></person-group>. (<year>2018</year>). <article-title>The effect of Alzheimer's disease on spatial navigation strategies</article-title>. <source>Neurobiol. Aging</source> <volume>64</volume>, <fpage>107</fpage>&#x2013;<lpage>115</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.neurobiolaging.2017.12.019</pub-id>, PMID: <pub-id pub-id-type="pmid">29358117</pub-id></citation></ref>
<ref id="ref157"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Park</surname> <given-names>D. C.</given-names></name> <name><surname>Lautenschlager</surname> <given-names>G.</given-names></name> <name><surname>Hedden</surname> <given-names>T.</given-names></name> <name><surname>Davidson</surname> <given-names>N. S.</given-names></name> <name><surname>Smith</surname> <given-names>A. D.</given-names></name> <name><surname>Smith</surname> <given-names>P. K.</given-names></name></person-group> (<year>2002</year>). <article-title>Models of visuospatial and verbal memory across the adult life span</article-title>. <source>Psychol. Aging</source> <volume>17</volume>, <fpage>299</fpage>&#x2013;<lpage>320</lpage>. doi: <pub-id pub-id-type="doi">10.1037/0882-7974.17.2.299</pub-id></citation></ref>
<ref id="ref158"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Patel</surname> <given-names>R. N.</given-names></name> <name><surname>Roberts</surname> <given-names>N. S.</given-names></name> <name><surname>Kempenaers</surname> <given-names>J.</given-names></name> <name><surname>Zadel</surname> <given-names>A.</given-names></name> <name><surname>Heinze</surname> <given-names>S.</given-names></name></person-group> (<year>2024</year>). <article-title>Parallel vector memories in the brain of a bee as foundation for flexible navigation</article-title>. <source>Proc. Natl. Acad. Sci. USA</source> <volume>121</volume>:<fpage>e2402509121</fpage>. doi: <pub-id pub-id-type="doi">10.1073/pnas.2402509121</pub-id>, PMID: <pub-id pub-id-type="pmid">39008670</pub-id></citation></ref>
<ref id="ref160"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Pawlaczyk</surname> <given-names>N.</given-names></name> <name><surname>Szmytke</surname> <given-names>M.</given-names></name> <name><surname>Meina</surname> <given-names>M.</given-names></name> <name><surname>Lewandowska</surname> <given-names>M.</given-names></name> <name><surname>St&#x0119;pniak</surname> <given-names>J.</given-names></name> <name><surname>Ba&#x0142;aj</surname> <given-names>B.</given-names></name> <etal/></person-group>. (<year>2021</year>). <article-title>Gait analysis under spatial navigation task in elderly people&#x2014;a pilot study</article-title>. <source>Sensors</source> <volume>21</volume>:<fpage>270</fpage>. doi: <pub-id pub-id-type="doi">10.3390/s21010270</pub-id>, PMID: <pub-id pub-id-type="pmid">33401584</pub-id></citation></ref>
<ref id="ref161"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>P&#x00E9;rez</surname> <given-names>E.</given-names></name></person-group> (<year>2009</year>). <article-title>Ehrenfest&#x2019;s adiabatic theory and the old quantum theory, 1916&#x2013;1918</article-title>. <source>Arch. Hist. Exact Sci.</source> <volume>63</volume>, <fpage>81</fpage>&#x2013;<lpage>125</lpage>. doi: <pub-id pub-id-type="doi">10.1007/s00407-008-0030-1</pub-id></citation></ref>
<ref id="ref162"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Piaget</surname> <given-names>J.</given-names></name> <name><surname>Inhelder</surname> <given-names>B.</given-names></name></person-group> (<year>1956</year>). <source>The child&#x2019;s conception of space</source>. London: <publisher-name>Routledge</publisher-name>.</citation></ref>
<ref id="ref163"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Piaget</surname> <given-names>J.</given-names></name> <name><surname>Inhelder</surname> <given-names>B.</given-names></name></person-group> (<year>1967</year>). <source>The child's conception of space</source>. New York: <publisher-name>Norton</publisher-name>.</citation></ref>
<ref id="ref164"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Potegal</surname> <given-names>M.</given-names></name></person-group> (<year>1972</year>). <article-title>The caudate nucleus egocentric localization system</article-title>. <source>Acta Neurobiol. Exp.</source> <volume>32</volume>, <fpage>479</fpage>&#x2013;<lpage>494</lpage>, PMID: <pub-id pub-id-type="pmid">5075635</pub-id></citation></ref>
<ref id="ref165"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Poulin-Dubois</surname> <given-names>D.</given-names></name> <name><surname>Rakoczy</surname> <given-names>H.</given-names></name> <name><surname>Burnside</surname> <given-names>K.</given-names></name> <name><surname>Crivello</surname> <given-names>C.</given-names></name> <name><surname>D&#x00F6;rrenberg</surname> <given-names>S.</given-names></name> <name><surname>Edwards</surname> <given-names>K.</given-names></name> <etal/></person-group>. (<year>2018</year>). <article-title>Do infants understand false beliefs? We don't know yet &#x2013; A commentary on Baillargeon, Buttelmann and Southgate's commentary</article-title>. <source>Cogn. Dev.</source> <volume>48</volume>, <fpage>302</fpage>&#x2013;<lpage>315</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.cogdev.2018.09.005</pub-id></citation></ref>
<ref id="ref166"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Pouliot</surname> <given-names>S.</given-names></name> <name><surname>Gagnon</surname> <given-names>S.</given-names></name></person-group> (<year>2005</year>). <article-title>Is egocentric space automatically encoded?</article-title> <source>Acta Psychol.</source> <volume>118</volume>, <fpage>193</fpage>&#x2013;<lpage>210</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.actpsy.2004.10.016</pub-id>, PMID: <pub-id pub-id-type="pmid">15698820</pub-id></citation></ref>
<ref id="ref9001"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Peters</surname> <given-names>R.</given-names></name></person-group> (<year>1973</year>). <article-title>Cognitive maps in wolves and men</article-title> in <source>Environmental design research</source>. (Ed.) <person-group person-group-type="editor"><name><surname>Preiser</surname> <given-names>W. F. E.</given-names></name></person-group> (<publisher-name>Stroudsburg, PA: Dowden, Hutchinson &#x0026; Ross</publisher-name>). 2, <fpage>247</fpage>&#x2013;<lpage>253</lpage>.</citation></ref>
<ref id="ref168"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Pullano</surname> <given-names>L.</given-names></name> <name><surname>Foti</surname> <given-names>F.</given-names></name></person-group> (<year>2022</year>). <article-title>The development of human navigation in middle childhood: A narrative review through methods, terminology, and fundamental stages</article-title>. <source>Brain Sci.</source> <volume>12</volume>:<fpage>1097</fpage>. doi: <pub-id pub-id-type="doi">10.3390/brainsci12081097</pub-id>, PMID: <pub-id pub-id-type="pmid">36009160</pub-id></citation></ref>
<ref id="ref169"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Rakoczy</surname> <given-names>H.</given-names></name></person-group> (<year>2012</year>). <article-title>Do infants have a theory of mind?</article-title> <source>Br. J. Dev. Psychol.</source> <volume>30</volume>, <fpage>59</fpage>&#x2013;<lpage>74</lpage>. doi: <pub-id pub-id-type="doi">10.1111/j.2044-835X.2011.02061.x</pub-id>, PMID: <pub-id pub-id-type="pmid">22429033</pub-id></citation></ref>
<ref id="ref171"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Redish</surname> <given-names>A. D.</given-names></name></person-group> (<year>1999</year>). <source>Beyond the cognitive map</source>. Cambridge, Massachusetts: <publisher-name>MIT Press</publisher-name>.</citation></ref>
<ref id="ref172"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Redish</surname> <given-names>A. D.</given-names></name> <name><surname>Touretzky</surname> <given-names>D. S.</given-names></name></person-group> (<year>1997</year>). <article-title>Cognitive maps beyond the hippocampus</article-title>. <source>Hippocampus</source> <volume>7</volume>, <fpage>15</fpage>&#x2013;<lpage>35</lpage>. doi: <pub-id pub-id-type="doi">10.1002/(SICI)1098-1063(1997)7:1&#x003C;15::AID-HIPO3&#x003E;3.0.CO;2-6</pub-id>, PMID: <pub-id pub-id-type="pmid">9138665</pub-id></citation></ref>
<ref id="ref173"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Rice</surname> <given-names>H. J.</given-names></name> <name><surname>Rubin</surname> <given-names>D. C.</given-names></name></person-group> (<year>2011</year>). <article-title>Remembering from any angle: the flexibility of visual perspective during retrieval</article-title>. <source>Consciousness Cogn.</source> <volume>20</volume>, <fpage>568</fpage>&#x2013;<lpage>577</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.concog.2010.10.013</pub-id>, PMID: <pub-id pub-id-type="pmid">21109466</pub-id></citation></ref>
<ref id="ref174"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Rieser</surname> <given-names>J. J.</given-names></name></person-group> (<year>1979</year>). <article-title>Spatial orientation of six-month-old infants</article-title>. <source>Child Dev.</source> <volume>50</volume>, <fpage>1078</fpage>&#x2013;<lpage>1087</lpage>. doi: <pub-id pub-id-type="doi">10.2307/1129334</pub-id>, PMID: <pub-id pub-id-type="pmid">535431</pub-id></citation></ref>
<ref id="ref175"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Rinaldi</surname> <given-names>A.</given-names></name> <name><surname>De Leonibus</surname> <given-names>E.</given-names></name> <name><surname>Cifra</surname> <given-names>A.</given-names></name> <name><surname>Torromino</surname> <given-names>G.</given-names></name> <name><surname>Minicocci</surname> <given-names>E.</given-names></name> <name><surname>De Sanctis</surname> <given-names>E.</given-names></name> <etal/></person-group>. (<year>2020</year>). <article-title>Flexible use of allocentric and egocentric spatial memories activates differential neural networks in mice</article-title>. <source>Sci. Rep.</source> <volume>10</volume>:<fpage>11338</fpage>. doi: <pub-id pub-id-type="doi">10.1038/s41598-020-68025-y</pub-id>, PMID: <pub-id pub-id-type="pmid">32647258</pub-id></citation></ref>
<ref id="ref176"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Rovelli</surname> <given-names>C.</given-names></name></person-group> (<year>2006</year>). &#x201C;<article-title>The disappearance of space and time</article-title>&#x201D; in <source>The ontology of Spacetime</source>. ed. <person-group person-group-type="editor"><name><surname>Dieks</surname> <given-names>D.</given-names></name></person-group> (<publisher-name>Amsterdam: Elsevier</publisher-name>), <fpage>25</fpage>&#x2013;<lpage>36</lpage>.</citation></ref>
<ref id="ref177"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ruffman</surname> <given-names>T.</given-names></name> <name><surname>Perner</surname> <given-names>J.</given-names></name></person-group> (<year>2005</year>). <article-title>Do infants really understand false belief? Response to Leslie</article-title>. <source>Trends Cogn. Sci.</source> <volume>9</volume>, <fpage>462</fpage>&#x2013;<lpage>463</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.tics.2005.08.001</pub-id>, PMID: <pub-id pub-id-type="pmid">16125433</pub-id></citation></ref>
<ref id="ref178"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ruggiero</surname> <given-names>G.</given-names></name> <name><surname>Ruotolo</surname> <given-names>F.</given-names></name> <name><surname>Iachini</surname> <given-names>T.</given-names></name></person-group> (<year>2018</year>). <article-title>Congenital blindness limits allocentric to egocentric switching ability</article-title>. <source>Exp. Brain Res.</source> <volume>236</volume>, <fpage>813</fpage>&#x2013;<lpage>820</lpage>. doi: <pub-id pub-id-type="doi">10.1007/s00221-018-5176-8</pub-id>, PMID: <pub-id pub-id-type="pmid">29340716</pub-id></citation></ref>
<ref id="ref179"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Samsonovich</surname> <given-names>A.</given-names></name> <name><surname>McNaughton</surname> <given-names>B. L.</given-names></name></person-group> (<year>1997</year>). <article-title>Path integration and cognitive mapping in a continuous attractor neural network model</article-title>. <source>J. Neurosci.</source> <volume>17</volume>, <fpage>5900</fpage>&#x2013;<lpage>5920</lpage>. doi: <pub-id pub-id-type="doi">10.1523/JNEUROSCI.17-15-05900.1997</pub-id>, PMID: <pub-id pub-id-type="pmid">9221787</pub-id></citation></ref>
<ref id="ref180"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Santiesteban</surname> <given-names>I.</given-names></name> <name><surname>Shah</surname> <given-names>P.</given-names></name> <name><surname>White</surname> <given-names>S.</given-names></name> <name><surname>Bird</surname> <given-names>G.</given-names></name> <name><surname>Heyes</surname> <given-names>C.</given-names></name></person-group> (<year>2015</year>). <article-title>Mentalizing or submentalizing in a communication task? Evidence from autism and a camera control</article-title>. <source>Psychon. Bull. Rev.</source> <volume>22</volume>, <fpage>844</fpage>&#x2013;<lpage>849</lpage>. doi: <pub-id pub-id-type="doi">10.3758/s13423-014-0716-0</pub-id>, PMID: <pub-id pub-id-type="pmid">25149442</pub-id></citation></ref>
<ref id="ref181"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Sargolini</surname> <given-names>F.</given-names></name> <name><surname>Fyhn</surname> <given-names>M.</given-names></name> <name><surname>Hafting</surname> <given-names>T.</given-names></name> <name><surname>McNaughton</surname> <given-names>B. L.</given-names></name> <name><surname>Witter</surname> <given-names>M. P.</given-names></name> <name><surname>Moser</surname> <given-names>M. B.</given-names></name> <etal/></person-group>. (<year>2006</year>). <article-title>Conjunctive representation of position, direction, and velocity in entorhinal cortex</article-title>. <source>Science</source> <volume>312</volume>, <fpage>758</fpage>&#x2013;<lpage>762</lpage>. doi: <pub-id pub-id-type="doi">10.1126/science.1125572</pub-id>, PMID: <pub-id pub-id-type="pmid">16675704</pub-id></citation></ref>
<ref id="ref182"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Save</surname> <given-names>E.</given-names></name> <name><surname>Cressant</surname> <given-names>A.</given-names></name> <name><surname>Thinus-Blanc</surname> <given-names>C.</given-names></name> <name><surname>Poucet</surname> <given-names>B.</given-names></name></person-group> (<year>1998</year>). <article-title>Spatial firing of hippocampal place cells in blind rats</article-title>. <source>J. Neurosci. Off. J. Soc. Neurosci.</source> <volume>18</volume>, <fpage>1818</fpage>&#x2013;<lpage>1826</lpage>. doi: <pub-id pub-id-type="doi">10.1523/JNEUROSCI.18-05-01818.1998</pub-id>, PMID: <pub-id pub-id-type="pmid">9465006</pub-id></citation></ref>
<ref id="ref183"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Save</surname> <given-names>E.</given-names></name> <name><surname>Moghaddam</surname> <given-names>M.</given-names></name></person-group> (<year>1996</year>). <article-title>Effects of lesions of the associative parietal cortex on the acquisition and use of spatial memory in egocentric and allocentric navigation tasks in the rat</article-title>. <source>Behav. Neurosci.</source> <volume>110</volume>, <fpage>74</fpage>&#x2013;<lpage>85</lpage>. doi: <pub-id pub-id-type="doi">10.1037//0735-7044.110.1.74</pub-id>, PMID: <pub-id pub-id-type="pmid">8652075</pub-id></citation></ref>
<ref id="ref184"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Savelli</surname> <given-names>F.</given-names></name> <name><surname>Knierim</surname> <given-names>J. J.</given-names></name></person-group> (<year>2019</year>). <article-title>Origin and role of path integration in the cognitive representations of the hippocampus: computational insights into open questions</article-title>. <source>J. Exp. Biol.</source> <volume>222</volume>:<fpage>Article jeb 188912</fpage>. doi: <pub-id pub-id-type="doi">10.1242/jeb.188912</pub-id>, PMID: <pub-id pub-id-type="pmid">30728236</pub-id></citation></ref>
<ref id="ref185"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Savelli</surname> <given-names>F.</given-names></name> <name><surname>Yoganarasimha</surname> <given-names>D.</given-names></name> <name><surname>Knierim</surname> <given-names>J. J.</given-names></name></person-group> (<year>2008</year>). <article-title>Influence of boundary removal on the spatial representations of the medial entorhinal cortex</article-title>. <source>Hippocampus</source> <volume>18</volume>, <fpage>1270</fpage>&#x2013;<lpage>1282</lpage>. doi: <pub-id pub-id-type="doi">10.1002/hipo.20511</pub-id>, PMID: <pub-id pub-id-type="pmid">19021262</pub-id></citation></ref>
<ref id="ref186"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Scherder</surname> <given-names>E. J. A.</given-names></name> <name><surname>Bogen</surname> <given-names>T.</given-names></name> <name><surname>Eggermont</surname> <given-names>L. H. P.</given-names></name> <name><surname>Hamers</surname> <given-names>J. P. H.</given-names></name> <name><surname>Swaab</surname> <given-names>D. F.</given-names></name></person-group> (<year>2010</year>). <article-title>The more physical inactivity, the more agitation in dementia</article-title>. <source>Int. Psychogeriatr.</source> <volume>22</volume>, <fpage>1203</fpage>&#x2013;<lpage>1208</lpage>. doi: <pub-id pub-id-type="doi">10.1017/S1041610210001493</pub-id>, PMID: <pub-id pub-id-type="pmid">20813077</pub-id></citation></ref>
<ref id="ref187"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Schuchert</surname> <given-names>T.</given-names></name> <name><surname>Scharr</surname> <given-names>H.</given-names></name></person-group> (<year>2009</year>). &#x201C;<article-title>An affine optical flow model for dynamic surface reconstruction</article-title>&#x201D; in <source>Statistical and geometrical approaches to visual motion analysis</source>. eds. <person-group person-group-type="editor"><name><surname>Cremers</surname> <given-names>D.</given-names></name> <name><surname>Rosenhahn</surname> <given-names>B.</given-names></name> <name><surname>Yuille</surname> <given-names>A. L.</given-names></name> <name><surname>Schmidt</surname> <given-names>F. R.</given-names></name></person-group> (<publisher-name>Berlin: Springer</publisher-name>), <fpage>70</fpage>&#x2013;<lpage>90</lpage>.</citation></ref>
<ref id="ref188"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Schurz</surname> <given-names>M.</given-names></name> <name><surname>Aichhorn</surname> <given-names>M.</given-names></name> <name><surname>Martin</surname> <given-names>A.</given-names></name> <name><surname>Perner</surname> <given-names>J.</given-names></name></person-group> (<year>2013</year>). <article-title>Common brain areas engaged in false belief reasoning and visual perspective taking: a meta-analysis of functional brain imaging studies</article-title>. <source>Front. Hum. Neurosci.</source> <volume>7</volume>:<fpage>712</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fnhum.2013.00712</pub-id>, PMID: <pub-id pub-id-type="pmid">24198773</pub-id></citation></ref>
<ref id="ref189"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Serino</surname> <given-names>S.</given-names></name> <name><surname>Di Lernia</surname> <given-names>D.</given-names></name> <name><surname>Magni</surname> <given-names>G.</given-names></name> <name><surname>Manenti</surname> <given-names>P.</given-names></name> <name><surname>De Gasperi</surname> <given-names>S.</given-names></name> <name><surname>Riva</surname> <given-names>G.</given-names></name> <etal/></person-group>. (<year>2024</year>). <article-title>Egocentric and Allocentric spatial memory for body parts: A virtual reality study</article-title>. <source>J. Cogn.</source> <volume>7</volume>:<fpage>33</fpage>. doi: <pub-id pub-id-type="doi">10.5334/joc.357</pub-id>, PMID: <pub-id pub-id-type="pmid">38638460</pub-id></citation></ref>
<ref id="ref190"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Shallice</surname> <given-names>T.</given-names></name></person-group> (<year>1982</year>). <article-title>Specific impairments of planning. <italic>Philosophical transactions of the Royal Society of London</italic></article-title>. <source>Series B Biol. Sci.</source> <volume>298</volume>, <fpage>199</fpage>&#x2013;<lpage>209</lpage>. doi: <pub-id pub-id-type="doi">10.1098/rstb.1982.0082</pub-id>, PMID: <pub-id pub-id-type="pmid">6125971</pub-id></citation></ref>
<ref id="ref191"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Shelton</surname> <given-names>A. L.</given-names></name> <name><surname>McNamara</surname> <given-names>T. P.</given-names></name></person-group> (<year>2001</year>). <article-title>Systems of spatial reference in human memory</article-title>. <source>Cogn. Psychol.</source> <volume>43</volume>, <fpage>274</fpage>&#x2013;<lpage>310</lpage>. doi: <pub-id pub-id-type="doi">10.1006/cogp.2001.0758</pub-id>, PMID: <pub-id pub-id-type="pmid">11741344</pub-id></citation></ref>
<ref id="ref192"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Shrager</surname> <given-names>Y.</given-names></name> <name><surname>Kirwan</surname> <given-names>C. B.</given-names></name> <name><surname>Squire</surname> <given-names>L. R.</given-names></name></person-group> (<year>2008</year>). <article-title>Neural basis of the cognitive map: path integration does not require hippocampus or entorhinal cortex</article-title>. <source>Proc. Natl. Acad. Sci. USA</source> <volume>105</volume>, <fpage>12034</fpage>&#x2013;<lpage>12038</lpage>. doi: <pub-id pub-id-type="doi">10.1073/pnas.0805414105</pub-id>, PMID: <pub-id pub-id-type="pmid">18687893</pub-id></citation></ref>
<ref id="ref193"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Siegel</surname> <given-names>A. W.</given-names></name> <name><surname>White</surname> <given-names>S. H.</given-names></name></person-group> (<year>1975</year>). <article-title>The development of spatial representations of large-scale environments</article-title>. <source>Adv. Child Dev. Behav.</source> <volume>10</volume>, <fpage>9</fpage>&#x2013;<lpage>55</lpage>. doi: <pub-id pub-id-type="doi">10.1016/s0065-2407(08)60007-5</pub-id>, PMID: <pub-id pub-id-type="pmid">1101663</pub-id></citation></ref>
<ref id="ref194"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Solstad</surname> <given-names>T.</given-names></name> <name><surname>Boccara</surname> <given-names>C. N.</given-names></name> <name><surname>Kropff</surname> <given-names>E.</given-names></name> <name><surname>Moser</surname> <given-names>M. B.</given-names></name> <name><surname>Moser</surname> <given-names>E. I.</given-names></name></person-group> (<year>2008</year>). <article-title>Representation of geometric borders in the entorhinal cortex</article-title>. <source>Science</source> <volume>322</volume>, <fpage>1865</fpage>&#x2013;<lpage>1868</lpage>. doi: <pub-id pub-id-type="doi">10.1126/science.1166466</pub-id>, PMID: <pub-id pub-id-type="pmid">19095945</pub-id></citation></ref>
<ref id="ref195"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Souza-Couto</surname> <given-names>D.</given-names></name> <name><surname>Bretas</surname> <given-names>R.</given-names></name> <name><surname>Aversi-Ferreira</surname> <given-names>T. A.</given-names></name></person-group> (<year>2023</year>). <article-title>Neuropsychology of the parietal lobe: Luria's and contemporary conceptions</article-title>. <source>Front. Neurosci.</source> <volume>17</volume>:<fpage>1226226</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fnins.2023.1226226</pub-id>, PMID: <pub-id pub-id-type="pmid">37928730</pub-id></citation></ref>
<ref id="ref196"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Stachel</surname> <given-names>J.</given-names></name></person-group> (<year>2005</year>). &#x201C;<article-title>Development of the concepts of space, time and space-time from Newton to Einstein</article-title>&#x201D; in <source>100 years of relativity</source>. ed. <person-group person-group-type="editor"><name><surname>Ashtekar</surname> <given-names>A.</given-names></name></person-group> (<publisher-name>Amsterdam: Elsevier</publisher-name>), <fpage>3</fpage>&#x2013;<lpage>36</lpage>.</citation></ref>
<ref id="ref197"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Steinberg</surname> <given-names>N. J.</given-names></name> <name><surname>Roth</surname> <given-names>Z. N.</given-names></name> <name><surname>Merriam</surname> <given-names>E. P.</given-names></name></person-group> (<year>2022</year>). <article-title>Spatiotopic and retinotopic memory in the context of natural images</article-title>. <source>J. Vis.</source> <volume>22</volume>:<fpage>11</fpage>. doi: <pub-id pub-id-type="doi">10.1167/jov.22.4.11</pub-id>, PMID: <pub-id pub-id-type="pmid">35323869</pub-id></citation></ref>
<ref id="ref198"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Stone</surname> <given-names>T.</given-names></name> <name><surname>Webb</surname> <given-names>B.</given-names></name> <name><surname>Adden</surname> <given-names>A.</given-names></name> <name><surname>Weddig</surname> <given-names>N. B.</given-names></name> <name><surname>Honkanen</surname> <given-names>A.</given-names></name> <name><surname>Templin</surname> <given-names>R.</given-names></name> <etal/></person-group>. (<year>2017</year>). <article-title>An anatomically constrained model for path integration in the bee brain</article-title>. <source>Curr. Biol.</source> <volume>27</volume>, <fpage>3069</fpage>&#x2013;<lpage>3085.e11</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.cub.2017.08.052</pub-id>, PMID: <pub-id pub-id-type="pmid">28988858</pub-id></citation></ref>
<ref id="ref199"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Takahashi</surname> <given-names>N.</given-names></name> <name><surname>Kawamura</surname> <given-names>M.</given-names></name> <name><surname>Shiota</surname> <given-names>J.</given-names></name> <name><surname>Kasahata</surname> <given-names>N.</given-names></name> <name><surname>Hirayama</surname> <given-names>K.</given-names></name></person-group> (<year>1997</year>). <article-title>Pure topographic disorientation due to right retrosplenial lesion</article-title>. <source>Neurology</source> <volume>49</volume>, <fpage>464</fpage>&#x2013;<lpage>469</lpage>. doi: <pub-id pub-id-type="doi">10.1212/WNL.49.2.464</pub-id>, PMID: <pub-id pub-id-type="pmid">9270578</pub-id></citation></ref>
<ref id="ref200"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Tascone</surname> <given-names>L. D. S.</given-names></name> <name><surname>Payne</surname> <given-names>M. E.</given-names></name> <name><surname>Mac Fall</surname> <given-names>J.</given-names></name> <name><surname>Azevedo</surname> <given-names>D.</given-names></name> <name><surname>De Castro</surname> <given-names>C. C.</given-names></name> <name><surname>Steffens</surname> <given-names>D. C.</given-names></name> <etal/></person-group>. (<year>2017</year>). <article-title>Cortical brain volume abnormalities associated with few or multiple neuropsychiatric symptoms in Alzheimer&#x2019;s disease</article-title>. <source>PLoS One</source> <volume>12</volume>:<fpage>e0177169</fpage>. doi: <pub-id pub-id-type="doi">10.1371/journal.pone.0177169</pub-id>, PMID: <pub-id pub-id-type="pmid">28481904</pub-id></citation></ref>
<ref id="ref201"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Taube</surname> <given-names>J. S.</given-names></name> <name><surname>Muller</surname> <given-names>R. U.</given-names></name> <name><surname>Ranck</surname> <given-names>J. B.</given-names></name></person-group> (<year>1990</year>). <article-title>Head-direction cells recorded from the postsubiculum in freely moving rats. I. Description and quantitative analysis</article-title>. <source>J. Neurosci.</source> <volume>10</volume>, <fpage>420</fpage>&#x2013;<lpage>435</lpage>. doi: <pub-id pub-id-type="doi">10.1523/jneurosci.10-02-00420.1990</pub-id>, PMID: <pub-id pub-id-type="pmid">2303851</pub-id></citation></ref>
<ref id="ref202"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Tegmark</surname> <given-names>M.</given-names></name></person-group> (<year>1997</year>). <article-title>On the dimensionality of spacetime</article-title>. <source>Classical Quantum Gravity</source> <volume>14</volume>, <fpage>L69</fpage>&#x2013;<lpage>L75</lpage>. doi: <pub-id pub-id-type="doi">10.1088/0264-9381/14/4/002</pub-id></citation></ref>
<ref id="ref203"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Teng</surname> <given-names>E.</given-names></name> <name><surname>Squire</surname> <given-names>L. R.</given-names></name></person-group> (<year>1999</year>). <article-title>Memory for places learned long ago is intact after hippocampal damage</article-title>. <source>Nature</source> <volume>400</volume>, <fpage>675</fpage>&#x2013;<lpage>677</lpage>. doi: <pub-id pub-id-type="doi">10.1038/23276</pub-id>, PMID: <pub-id pub-id-type="pmid">10458163</pub-id></citation></ref>
<ref id="ref204"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Tolman</surname> <given-names>E. C.</given-names></name></person-group> (<year>1948</year>). <article-title>Cognitive maps in rats and men</article-title>. <source>Psychol. Rev.</source> <volume>55</volume>, <fpage>189</fpage>&#x2013;<lpage>208</lpage>. doi: <pub-id pub-id-type="doi">10.1037/h0061626</pub-id>, PMID: <pub-id pub-id-type="pmid">18870876</pub-id></citation></ref>
<ref id="ref205"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>T&#x00F6;r&#x00F6;k</surname> <given-names>A.</given-names></name> <name><surname>Nguyen</surname> <given-names>T. P.</given-names></name> <name><surname>Kolozsv&#x00E1;ri</surname> <given-names>O.</given-names></name> <name><surname>Buchanan</surname> <given-names>R. J.</given-names></name> <name><surname>Nadasdy</surname> <given-names>Z.</given-names></name></person-group> (<year>2014</year>). <article-title>Reference frames in virtual spatial navigation are viewpoint dependent</article-title>. <source>Front. Hum. Neurosci.</source> <volume>8</volume>:<fpage>646</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fnhum.2014.00646</pub-id>, PMID: <pub-id pub-id-type="pmid">25249956</pub-id></citation></ref>
<ref id="ref206"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Tuena</surname> <given-names>C.</given-names></name> <name><surname>Mancuso</surname> <given-names>V.</given-names></name> <name><surname>Stramba-Badiale</surname> <given-names>C.</given-names></name> <name><surname>Pedroli</surname> <given-names>E.</given-names></name> <name><surname>Stramba-Badiale</surname> <given-names>M.</given-names></name> <name><surname>Riva</surname> <given-names>G.</given-names></name> <etal/></person-group>. (<year>2021</year>). <article-title>Egocentric and Allocentric spatial memory in mild cognitive impairment with real-world and virtual navigation tasks: A systematic review</article-title>. <source>J. Alzheimers Dis.</source> <volume>79</volume>, <fpage>95</fpage>&#x2013;<lpage>116</lpage>. doi: <pub-id pub-id-type="doi">10.3233/JAD-201017</pub-id>, PMID: <pub-id pub-id-type="pmid">33216034</pub-id></citation></ref>
<ref id="ref207"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ulanovsky</surname> <given-names>N.</given-names></name></person-group> (<year>2011</year>). <article-title>Neuroscience: how is three-dimensional space encoded in the brain?</article-title> <source>Curr. Biol.</source> <volume>21</volume>, <fpage>R886</fpage>&#x2013;<lpage>R888</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.cub.2011.09.031</pub-id>, PMID: <pub-id pub-id-type="pmid">22075427</pub-id></citation></ref>
<ref id="ref208"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Ungerleider</surname> <given-names>L. G.</given-names></name> <name><surname>Mishkin</surname> <given-names>M.</given-names></name></person-group> (<year>1982</year>). &#x201C;<article-title>Two cortical visual systems</article-title>&#x201D; in <source>Analysis of visual behavior</source>. eds. <person-group person-group-type="editor"><name><surname>Ingle</surname> <given-names>D. J.</given-names></name> <name><surname>Goodale</surname> <given-names>M. A.</given-names></name> <name><surname>Mansfield</surname> <given-names>R. J. W.</given-names></name></person-group> (<publisher-name>Cambridge, Massachusetts: MIT Press</publisher-name>), <fpage>549</fpage>&#x2013;<lpage>586</lpage>.</citation></ref>
<ref id="ref209"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Vailati</surname> <given-names>E.</given-names></name></person-group> (<year>1997</year>). <source>Leibniz and Clarke: A study of their correspondence</source>. <publisher-loc>USA</publisher-loc>: <publisher-name>Oxford University Press</publisher-name>.</citation></ref>
<ref id="ref210"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>van den Brink</surname> <given-names>D.</given-names></name> <name><surname>Janzen</surname> <given-names>G.</given-names></name></person-group> (<year>2013</year>). <article-title>Visual spatial cue use for guiding orientation in two-to-three-year-old children</article-title>. <source>Front. Psychol.</source> <volume>4</volume>:<fpage>904</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fpsyg.2013.00904</pub-id>, PMID: <pub-id pub-id-type="pmid">24368903</pub-id></citation></ref>
<ref id="ref211"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>van der Ham</surname> <given-names>I. J. M.</given-names></name> <name><surname>Claessen</surname> <given-names>M.</given-names></name></person-group> (<year>2020</year>). <article-title>How age relates to spatial navigation performance: functional and methodological considerations</article-title>. <source>Ageing Res. Rev.</source> <volume>58</volume>:<fpage>101020</fpage>. doi: <pub-id pub-id-type="doi">10.1016/j.arr.2020.101020</pub-id>, PMID: <pub-id pub-id-type="pmid">31954190</pub-id></citation></ref>
<ref id="ref212"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>van Hoogmoed</surname> <given-names>A. H.</given-names></name> <name><surname>Wegman</surname> <given-names>J.</given-names></name> <name><surname>van den Brink</surname> <given-names>D.</given-names></name> <name><surname>Janzen</surname> <given-names>G.</given-names></name></person-group> (<year>2022</year>). <article-title>Development of landmark use for navigation in children: effects of age, sex, working memory and landmark type</article-title>. <source>Brain Sci.</source> <volume>12</volume>:<fpage>776</fpage>. doi: <pub-id pub-id-type="doi">10.3390/brainsci12060776</pub-id>, PMID: <pub-id pub-id-type="pmid">35741661</pub-id></citation></ref>
<ref id="ref213"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Vasilyeva</surname> <given-names>M.</given-names></name> <name><surname>Lourenco</surname> <given-names>S. F.</given-names></name></person-group> (<year>2012</year>). <article-title>Development of spatial cognition</article-title>. <source>Wiley Interdiscip. Rev. Cogn. Sci.</source> <volume>3</volume>, <fpage>349</fpage>&#x2013;<lpage>362</lpage>. doi: <pub-id pub-id-type="doi">10.1002/wcs.1171</pub-id>, PMID: <pub-id pub-id-type="pmid">26301467</pub-id></citation></ref>
<ref id="ref214"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Vl&#x010D;ek</surname> <given-names>K.</given-names></name> <name><surname>Lacz&#x00F3;</surname> <given-names>J.</given-names></name></person-group> (<year>2014</year>). <article-title>Neural correlates of spatial navigation changes in mild cognitive impairment and Alzheimer's disease</article-title>. <source>Front. Behav. Neurosci.</source> <volume>8</volume>:<fpage>89</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fnbeh.2014.00089</pub-id>, PMID: <pub-id pub-id-type="pmid">24672452</pub-id></citation></ref>
<ref id="ref215"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname> <given-names>R. F.</given-names></name></person-group> (<year>2016</year>). <article-title>Building a cognitive map by assembling multiple path integration systems</article-title>. <source>Psychon. Bull. Rev.</source> <volume>23</volume>, <fpage>692</fpage>&#x2013;<lpage>702</lpage>. doi: <pub-id pub-id-type="doi">10.3758/s13423-015-0952-y</pub-id>, PMID: <pub-id pub-id-type="pmid">26442503</pub-id></citation></ref>
<ref id="ref216"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname> <given-names>R. F.</given-names></name> <name><surname>Spelke</surname> <given-names>E. S.</given-names></name></person-group> (<year>2002</year>). <article-title>Human spatial representation: insights from animals</article-title>. <source>Trends Cogn. Sci.</source> <volume>6</volume>, <fpage>376</fpage>&#x2013;<lpage>382</lpage>. doi: <pub-id pub-id-type="doi">10.1016/S1364-6613(02)01961-7</pub-id></citation></ref>
<ref id="ref217"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Weisberg</surname> <given-names>S. M.</given-names></name> <name><surname>Ebner</surname> <given-names>N. C.</given-names></name> <name><surname>Seidler</surname> <given-names>R. D.</given-names></name></person-group> (<year>2024</year>). <article-title>Getting LOST: A conceptual framework for supporting and enhancing spatial navigation in aging. <italic>Wiley interdisciplinary reviews</italic></article-title>. <source>Cogn. Sci.</source> <volume>15</volume>:<fpage>e1669</fpage>. doi: <pub-id pub-id-type="doi">10.1002/wcs.1669</pub-id>, PMID: <pub-id pub-id-type="pmid">37933623</pub-id></citation></ref>
<ref id="ref218"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Weisberg</surname> <given-names>S. M.</given-names></name> <name><surname>Ekstrom</surname> <given-names>A. D.</given-names></name></person-group> (<year>2021</year>). <article-title>Hippocampal volume and navigational ability: the map (ping) is not to scale</article-title>. <source>Neurosci. Biobehav. Rev.</source> <volume>126</volume>, <fpage>102</fpage>&#x2013;<lpage>112</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.neubiorev.2021.03.012</pub-id>, PMID: <pub-id pub-id-type="pmid">33722618</pub-id></citation></ref>
<ref id="ref219"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Weisberg</surname> <given-names>S. M.</given-names></name> <name><surname>Newcombe</surname> <given-names>N. S.</given-names></name> <name><surname>Chatterjee</surname> <given-names>A.</given-names></name></person-group> (<year>2019</year>). <article-title>Everyday taxi drivers: do better navigators have larger hippocampi?</article-title> <source>Cortex</source> <volume>115</volume>, <fpage>280</fpage>&#x2013;<lpage>293</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.cortex.2018.12.024</pub-id>, PMID: <pub-id pub-id-type="pmid">30884282</pub-id></citation></ref>
<ref id="ref220"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wilson</surname> <given-names>S. P.</given-names></name> <name><surname>Wilson</surname> <given-names>P. N.</given-names></name></person-group> (<year>2018</year>). <article-title>Failure to demonstrate short-cutting in a replication and extension of Tolman et al.'s spatial learning experiment with humans</article-title>. <source>PLoS One</source> <volume>13</volume>, 1&#x2013;15. doi: <pub-id pub-id-type="doi">10.1371/journal.pone.0208794</pub-id>, PMID: <pub-id pub-id-type="pmid">30586379</pub-id></citation></ref>
<ref id="ref221"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wolbers</surname> <given-names>T.</given-names></name> <name><surname>B&#x00FC;chel</surname> <given-names>C.</given-names></name></person-group> (<year>2005</year>). <article-title>Dissociable Retrosplenial and hippocampal contributions to successful formation of survey representations</article-title>. <source>J. Neurosci. Off. J. Soc. Neurosci.</source> <volume>25</volume>, <fpage>3333</fpage>&#x2013;<lpage>3340</lpage>. doi: <pub-id pub-id-type="doi">10.1523/JNEUROSCI.4705-04.2005</pub-id>, PMID: <pub-id pub-id-type="pmid">15800188</pub-id></citation></ref>
<ref id="ref222"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wolbers</surname> <given-names>T.</given-names></name> <name><surname>Wiener</surname> <given-names>J. M.</given-names></name></person-group> (<year>2014</year>). <article-title>Challenges for identifying the neural mechanisms that support spatial navigation: the impact of spatial scale</article-title>. <source>Front. Hum. Neurosci.</source> <volume>8</volume>:<fpage>571</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fnhum.2014.00571</pub-id>, PMID: <pub-id pub-id-type="pmid">25140139</pub-id></citation></ref>
<ref id="ref223"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Yamamoto</surname> <given-names>N.</given-names></name> <name><surname>Philbeck</surname> <given-names>J. W.</given-names></name> <name><surname>Woods</surname> <given-names>A. J.</given-names></name> <name><surname>Gajewski</surname> <given-names>D. A.</given-names></name> <name><surname>Arthur</surname> <given-names>J. C.</given-names></name> <name><surname>Potolicchio</surname> <given-names>S. J.</given-names></name> <etal/></person-group>. (<year>2014</year>). <article-title>Medial temporal lobe roles in human path integration</article-title>. <source>PLoS One</source> <volume>9</volume>, 1&#x2013;14. doi: <pub-id pub-id-type="doi">10.1371/journal.pone.0096583</pub-id>, PMID: <pub-id pub-id-type="pmid">24802000</pub-id></citation></ref>
<ref id="ref224"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Yu</surname> <given-names>S.</given-names></name> <name><surname>Boone</surname> <given-names>A. P.</given-names></name> <name><surname>He</surname> <given-names>C.</given-names></name> <name><surname>Davis</surname> <given-names>R. C.</given-names></name> <name><surname>Hegarty</surname> <given-names>M.</given-names></name> <name><surname>Chrastil</surname> <given-names>E. R.</given-names></name> <etal/></person-group>. (<year>2021</year>). <article-title>Age-related changes in spatial navigation are evident by midlife and differ by sex</article-title>. <source>Psychol. Sci.</source> <volume>32</volume>, <fpage>692</fpage>&#x2013;<lpage>704</lpage>. doi: <pub-id pub-id-type="doi">10.1177/0956797620979185</pub-id>, PMID: <pub-id pub-id-type="pmid">33819436</pub-id></citation></ref>
<ref id="ref225"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zhang</surname> <given-names>H.</given-names></name> <name><surname>Ekstrom</surname> <given-names>A.</given-names></name></person-group> (<year>2013</year>). <article-title>Human neural systems underlying rigid and flexible forms of allocentric spatial representation</article-title>. <source>Hum. Brain Mapp.</source> <volume>34</volume>, <fpage>1070</fpage>&#x2013;<lpage>1087</lpage>. doi: <pub-id pub-id-type="doi">10.1002/hbm.21494</pub-id>, PMID: <pub-id pub-id-type="pmid">22786703</pub-id></citation></ref>
</ref-list>
</back>
</article>