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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
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<article-meta>
<article-id pub-id-type="publisher-id">1264392</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2023.1264392</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>An integrated methodological framework for the durable conservation of freshwater ecosystems: a case study in Colombia&#x2019;s Caquet&#xe1; River basin</article-title>
<alt-title alt-title-type="left-running-head">Nogales et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2023.1264392">10.3389/fenvs.2023.1264392</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Nogales</surname>
<given-names>Jonathan</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">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1130012/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Rog&#xe9;liz-Prada</surname>
<given-names>Carlos</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1452732/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ca&#xf1;on</surname>
<given-names>Miguel A.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2556726/overview"/>
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<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
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<contrib contrib-type="author">
<name>
<surname>Vargas-Luna</surname>
<given-names>Andres</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/623896/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
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<aff id="aff1">
<sup>1</sup>
<institution>The Nature Conservancy</institution>, <addr-line>Bogot&#xe1;</addr-line>, <country>Colombia</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Civil Engineering</institution>, <institution>Master in Hydrosystems</institution>, <institution>Pontificia Universidad Javeriana</institution>, <addr-line>Bogot&#xe1;</addr-line>, <country>Colombia</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1110419/overview">Wei Wang</ext-link>, Chinese Research Academy of Environmental Sciences, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2392005/overview">Wen Xiao</ext-link>, Dali University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2528562/overview">Qin Li</ext-link>, Fudan University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Jonathan Nogales, <email>jonathan.nogales@tnc.org</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>08</day>
<month>11</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1264392</elocation-id>
<history>
<date date-type="received">
<day>20</day>
<month>07</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>17</day>
<month>10</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Nogales, Rog&#xe9;liz-Prada, Ca&#xf1;on and Vargas-Luna.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Nogales, Rog&#xe9;liz-Prada, Ca&#xf1;on and Vargas-Luna</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>
<bold>Introduction:</bold> Although freshwater ecosystems encompass 12% of all known species, their study has achieved less progress in systematic conservation planning exercises compared with terrestrial and marine ecosystems. Moreover, little attention has been given to ecosystem services and cultural and spiritual values, which are pivotal in the long-term preservation of freshwater ecosystems. Conservation, restoration, and sustainable management actions within freshwater systems are currently addressed individually, underscoring the necessity of comprehensive methodological frameworks that holistically address the questions of where and how to conserve while integrating ecosystem services and cultural factors as conservation values.</p>
<p>
<bold>Methods:</bold> We propose a new methodological framework for the conservation of freshwater ecosystems that incorporates these elements and fulfills six prioritization criteria: 1) representativeness, 2) integrity, 3) importance, 4) rarity, 5) complementarity, and 6) connectivity. To illustrate the application of this approach, we conducted a regional study in the Caquet&#xe1; River basin in Colombia.</p>
<p>
<bold>Results:</bold> By applying our methodological framework, we demonstrated that the Caquet&#xe1; River basin hosts 518 distinct freshwater groups with unique characteristics that contribute to the maintenance of ecosystems and the preservation of their inherent values. Additionally, our analysis revealed that protection is the most effective conservation strategy for 77.4% of the Caquet&#xe1; River basin, whereas restoration and sustainable management are suitable for 4.7% and 17.9% of the basin, respectively. The prioritized portfolio for the Caquet&#xe1; River basin encompasses 80.1% of all freshwater groups, effectively meeting The Nature Conservancy&#x2019;s proposed conservation objectives.</p>
<p>
<bold>Conclusion</bold>: This novel methodological framework provides a pragmatic approach to systematic conservation planning and answers the questions of both where and how to conserve.</p>
</abstract>
<kwd-group>
<kwd>Caquet&#xe1; River</kwd>
<kwd>durable freshwater protection</kwd>
<kwd>integrity</kwd>
<kwd>representativeness</kwd>
<kwd>importance</kwd>
<kwd>prioritization</kwd>
<kwd>systematic conservation planning</kwd>
<kwd>Amazon</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Conservation and Restoration Ecology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>1 Introduction</title>
<p>Systematic conservation planning (SCP) is a process aimed at identifying and preserving areas with high conservation value (<xref ref-type="bibr" rid="B86">Kukkala and Moilanen, 2013</xref>; <xref ref-type="bibr" rid="B15">Beyer et al., 2016</xref>). The most significant progress in SCP has been made in terrestrial and marine ecosystems (<xref ref-type="bibr" rid="B37">Darwall et al., 2011</xref>); SCP in freshwater ecosystems has lagged (<xref ref-type="bibr" rid="B103">Nogueira et al., 2023</xref>) despite their high species richness (&#x223c;12% of all known species) in a very small fraction of Earth&#x2019;s surface area (&#x223c;2%) (<xref ref-type="bibr" rid="B50">Garcia-Moreno et al., 2014</xref>; <xref ref-type="bibr" rid="B129">Rom&#xe1;n-Palacios et al., 2022</xref>). The amount of scientific research focused on aquatic systems, including freshwater ecosystems, increased by 60% between 2010 and 2017 (<xref ref-type="bibr" rid="B40">Di Marco et al., 2017</xref>), reflecting the need for research on SCP to strengthen decision-making and help counteract the degradation these ecosystems are exposed to (<xref ref-type="bibr" rid="B60">Harrison et al., 2018</xref>; <xref ref-type="bibr" rid="B55">Grill et al., 2019</xref>; <xref ref-type="bibr" rid="B38">Desforges et al., 2022</xref>).</p>
<p>SCP efforts have prioritized defining protected areas to preserve biodiversity (<xref ref-type="bibr" rid="B67">Hermoso et al., 2011</xref>; <xref ref-type="bibr" rid="B66">2018</xref>; <xref ref-type="bibr" rid="B147">Tognelli et al., 2019</xref>; <xref ref-type="bibr" rid="B41">Dorji et al., 2020</xref>; <xref ref-type="bibr" rid="B88">Linke and Hermoso, 2022</xref>; <xref ref-type="bibr" rid="B103">Nogueira et al., 2023</xref>), overlooking other equally important aspects, such as ecosystem services and cultural and spiritual values, which support societal wellbeing. Recently, <xref ref-type="bibr" rid="B69">Higgins et al. (2021)</xref> proposed a conceptual methodological framework to guide the development of more effective conservation strategies for freshwater ecosystems. According to these authors, durable conservation of freshwater ecosystems must incorporate ecosystem services and cultural and spiritual values as conservation values. Doing so will enable the integration of community-driven conservation strategies through the management of common resources, thereby enhancing conservation outcomes (<xref ref-type="bibr" rid="B23">Campos-Silva and Peres, 2016</xref>; <xref ref-type="bibr" rid="B51">Garnett et al., 2018</xref>; <xref ref-type="bibr" rid="B46">Fa et al., 2020</xref>).</p>
<p>
<xref ref-type="bibr" rid="B69">Higgins et al. (2021)</xref> also argued that the essential characteristics of ecosystems, or key ecological attributes (KEAs), must be identified to maintain the persistence of conservation values (e.g., hydrological regime, connectivity, water quality, physical structure). According to the authors, identifying KEAs also allows for the precise identification of threats to freshwater ecosystems and can guide the selection of appropriate conservation actions and mechanisms to reduce or mitigate these threats in the long term. SCP has attempted to answer fundamental conservation questions, including what should be prioritized for conservation and where it is most cost-effective to do so (<xref ref-type="bibr" rid="B41">Dorji et al., 2020</xref>; <xref ref-type="bibr" rid="B115">Pienkowski et al., 2021</xref>). However, the question of how to conserve has, so far, been addressed separately (<xref ref-type="bibr" rid="B71">Howard et al., 2018</xref>; <xref ref-type="bibr" rid="B98">Mu et al., 2022</xref>). Though numerous researchers have focused on defining areas for protection (<xref ref-type="bibr" rid="B147">Tognelli et al., 2019</xref>; <xref ref-type="bibr" rid="B141">Szabolcs et al., 2022</xref>; <xref ref-type="bibr" rid="B154">Valencia-Rodr&#xed;guez et al., 2022</xref>; <xref ref-type="bibr" rid="B103">Nogueira et al., 2023</xref>), SCP frameworks must include other strategies, such as restoration and sustainable management. The freshwater biodiversity emergency recovery plan (<xref ref-type="bibr" rid="B146">Tickner et al., 2020</xref>) recognizes the importance of restoration and sustainable management as necessary actions for the conservation of biodiversity, cultural values, and ecosystem services (<xref ref-type="bibr" rid="B82">Janishevski et al., 2015</xref>; <xref ref-type="bibr" rid="B12">Arthington, 2021</xref>; <xref ref-type="bibr" rid="B98">Mu et al., 2022</xref>). Therefore, as stated by <xref ref-type="bibr" rid="B69">Higgins et al. (2021)</xref>, SCP exercises must integrate different conservation actions with protection to expand the options for selecting legal mechanisms for conservation and the criteria for designing specific conservation activities.</p>
<p>
<xref ref-type="bibr" rid="B123">Riato et al. (2020)</xref> proposed a multi-scale methodological approach that links KEAs and their threats through an integrity index, which is used to prioritize protection, restoration, and sustainable management actions in rivers and streams, particularly for benthic communities. Other authors have also made valuable contributions; for example, <xref ref-type="bibr" rid="B98">Mu et al. (2022)</xref> proposed a methodological framework based on SCP theories to identify optimal sites for cost-effective protection and restoration that consider ecosystem services, such as water yield and carbon storage, as conservation values. Furthermore, <xref ref-type="bibr" rid="B27">Cattarino et al. (2015)</xref> proposed a novel algorithm for prioritizing multiple conservation actions within the same site, assuming that threats to freshwater ecosystems can be mitigated by selecting a specific conservation action. This algorithm also considers the inherent connectivity of freshwater ecosystems, building upon the advances by <xref ref-type="bibr" rid="B67">Hermoso et al. (2011)</xref>. The proposal presented by <xref ref-type="bibr" rid="B123">Riato et al. (2020)</xref> stands out among these methodologies by including the concept of basin integrity. This proposal is particularly interesting given its multi-scale approach to the identification of conservation actions, as it inherently evaluates the basin&#x2019;s capacity (based on its integrity) to support a particular action. Furthermore, the scheme proposed by <xref ref-type="bibr" rid="B123">Riato et al. (2020)</xref> is highly adaptable because it does not depend on a specific tool or dataset, giving it great practicality and operability (<xref ref-type="bibr" rid="B123">Riato et al., 2020</xref>; <xref ref-type="bibr" rid="B124">2023</xref>).</p>
<p>The efforts mentioned above that incorporate one or several of the criteria described by <xref ref-type="bibr" rid="B69">Higgins et al. (2021)</xref> highlight the need for new methodological frameworks that comprehensively address the questions of where and how to conserve. However, although <xref ref-type="bibr" rid="B69">Higgins et al. (2021)</xref> described the criteria that should be considered to achieve durable protection of freshwater ecosystems, they did not specify how these criteria should be applied within the context of an SCP process to provide an integrated response to these questions. Therefore, we aimed to develop a new methodological framework for freshwater ecosystem conservation that consolidates and articulates the concepts proposed by <xref ref-type="bibr" rid="B69">Higgins et al. (2021)</xref> in an SCP environment. Furthermore, we include the methodological scheme proposed by <xref ref-type="bibr" rid="B123">Riato et al. (2020)</xref> to simultaneously address the questions of where and how to conserve.</p>
<p>To achieve our goal, we integrated various models and analytical tools to employ a set of indexes with six prioritization criteria: i) representativeness, ii) integrity, iii) importance, iv) rarity, v) complementarity, and vi) connectivity. Given the Amazon is one of the few megadiverse regions in the world where freshwater biodiversity remains relatively healthy, we used the dam-free Caquet&#xe1; River basin in the Amazon region of Colombia as a case study (<xref ref-type="bibr" rid="B4">Albert et al., 2011</xref>; <xref ref-type="bibr" rid="B8">Anderson et al., 2018</xref>; <xref ref-type="bibr" rid="B62">He et al., 2018</xref>; <xref ref-type="bibr" rid="B21">Caldas et al., 2023</xref>). The Amazon is also home to several Indigenous and local communities that have deep social, cultural, and economic connections with the intricate network of freshwater ecosystems (<xref ref-type="bibr" rid="B23">Campos-Silva and Peres, 2016</xref>; <xref ref-type="bibr" rid="B51">Garnett et al., 2018</xref>; <xref ref-type="bibr" rid="B46">Fa et al., 2020</xref>).</p>
</sec>
<sec id="s2">
<title>2 Methodological framework</title>
<p>The methodological framework we propose for the SCP of freshwater ecosystems incorporates six criteria commonly used for prioritization (<xref ref-type="bibr" rid="B86">Kukkala and Moilanen, 2013</xref>; <xref ref-type="bibr" rid="B88">Linke and Hermoso, 2022</xref>; <xref ref-type="bibr" rid="B154">Valencia-Rodr&#xed;guez et al., 2022</xref>): i) representativeness, which prioritizes ecosystems not already under a conservation figure (e.g., protected areas); ii) integrity, which favors ecosystems with less pressure on their KEAs; iii) importance, which prioritizes ecosystems with greater conservation values; iv) rarity, which promotes the selection of unique ecosystems; v) complementarity, which accounts for existing conservation zones; and vi) connectivity, which promotes the connection between ecosystems. <xref ref-type="fig" rid="F1">Figure 1</xref> schematically depicts the proposed methodological framework, which uses indexes to quantify each of the established prioritization criteria.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Proposed methodological framework for integrated planning of freshwater ecosystems.</p>
</caption>
<graphic xlink:href="fenvs-11-1264392-g001.tif"/>
</fig>
<p>We selected the indexes following the criteria described by <xref ref-type="bibr" rid="B69">Higgins et al. (2021)</xref>. All indexes were estimated at the micro-basin scale, as this is the planning unit considered for the portfolio. Specifically, for the criterion of integrity, our methodology involves calculating this index at two scales: i) micro-basin and ii) sub-basin. These two scales are linked through the framework proposed by <xref ref-type="bibr" rid="B123">Riato et al. (2020)</xref>, with which we selected the best conservation opportunities (actions).</p>
<p>Finally, the indexes are integrated into a mathematical optimization scheme to select priority areas. The resulting prioritized conservation portfolio combines the priority areas with conservation opportunities. Each of the steps in our methodological proposal is detailed below.</p>
<sec id="s2-1">
<title>2.1 Establishing the study basin</title>
<p>The first phase of our methodology involves defining the study area, gathering all the secondary information, and defining the field campaigns necessary for the study. At this stage, it is also important to identify the existence of previously established protected areas in the study area as the criteria for representativeness and complementarity depend on this information.</p>
</sec>
<sec id="s2-2">
<title>2.2 Setting the conservation targets</title>
<p>Defining conservation objectives serves several purposes. For example, it facilitates the selection of the minimum area necessary to represent and ensure the persistence of conservation values (<xref ref-type="bibr" rid="B89">Linke et al., 2011</xref>). These objectives may be established considering the economic constraints related to investment in actions, or they may simply be a product of the specific goals of an organization or group of organizations (<xref ref-type="bibr" rid="B142">T&#xe9;llez et al., 2011</xref>). In this methodological framework, the conservation objectives are set as input criteria for prioritization (see Step 2.17), allowing conservationists to address specific questions or interests.</p>
</sec>
<sec id="s2-3">
<title>2.3 Delimitation of spatial units of analysis</title>
<p>Following the proposal by <xref ref-type="bibr" rid="B123">Riato et al. (2020)</xref> to select conservation actions (see Step 2.16) using the integrity criterion, our framework uses micro-basins and sub-basins as the scales of analysis. We based our scales on basins as they are appropriate units for the SCP of freshwater ecosystems (<xref ref-type="bibr" rid="B147">Tognelli et al., 2019</xref>; <xref ref-type="bibr" rid="B41">Dorji et al., 2020</xref>; <xref ref-type="bibr" rid="B88">Linke and Hermoso, 2022</xref>; <xref ref-type="bibr" rid="B103">Nogueira et al., 2023</xref>). This stage of our proposal consists of automatically delimiting these units using a digital terrain elevation model (DEM), which allows us to obtain the units of analysis and the river segments between two consecutive nodes or within the units. This approach produces a graph representation of the study area that defines the connectivity between the units, which facilitates efficient cumulative calculations (important aspects for Steps 2.8, 2.11, and 2.17).</p>
</sec>
<sec id="s2-4">
<title>2.4 Defining conservation values</title>
<p>According to <xref ref-type="bibr" rid="B69">Higgins et al. (2021)</xref>, conservation values refer to various aspects, such as species, ecosystem services (cultural, provisioning, supporting, and regulating), as well as cultural and spiritual values that are important to a particular community. In our methodology, it is possible to consider one or several of these elements; the number of values to consider will depend on their level of relevance in the selected study area. At the end of the process, conservation values are condensed into a numerical index that we have defined as an index of importance (in Step 2.13).</p>
</sec>
<sec id="s2-5">
<title>2.5 Identification of KEAs, threats, and their sources</title>
<p>KEAs are essential characteristics for the maintenance of freshwater ecosystems and, therefore, for the conservation values (<xref ref-type="bibr" rid="B69">Higgins et al., 2021</xref>). Existing research has identified the hydrological regime, sediment transport, water quality, physical structure, and connectivity as the main determinants of the physical habitat and biotic communities of freshwater ecosystems (<xref ref-type="bibr" rid="B116">Poff et al., 1997</xref>; <xref ref-type="bibr" rid="B26">Castello et al., 2013</xref>; <xref ref-type="bibr" rid="B170">Zeiringer et al., 2018</xref>; <xref ref-type="bibr" rid="B69">Higgins et al., 2021</xref>). In turn, these characteristics shape the social dynamics of communities that depend on these ecosystems for their livelihoods. Therefore, this methodology prioritizes these KEAs for analysis.</p>
<p>Threats, on the other hand, are factors that generate stress on KEAs&#x2014;e.g., climate change, deforestation, pollution, and dam construction (<xref ref-type="bibr" rid="B116">Poff et al., 1997</xref>; <xref ref-type="bibr" rid="B26">Castello et al., 2013</xref>; <xref ref-type="bibr" rid="B43">Dudgeon, 2014</xref>; <xref ref-type="bibr" rid="B5">Alho et al., 2015</xref>; <xref ref-type="bibr" rid="B13">Arthington et al., 2016</xref>; <xref ref-type="bibr" rid="B170">Zeiringer et al., 2018</xref>)&#x2014;resulting in ecosystem degradation (<xref ref-type="bibr" rid="B69">Higgins et al., 2021</xref>). Therefore, the KEAs, the threats to the KEAs, and the sources of the threats must be selected depending on the study basin. This step is crucial because these decisions will determine the indexes, models, or analysis tools to be used in the study.</p>
</sec>
<sec id="s2-6">
<title>2.6 Identification and selection of attribute indexes for freshwater groups by KEA</title>
<p>A freshwater group is a set of planning units, or micro-basins, that possess similar KEAs. In this sense, freshwater groups can be understood as collections of habitats within a basin. Our proposed framework employs simple characteristics and indexes for each KEA, allowing for precise differentiation of areas with unique KEAs without requiring extensive amounts of information for their configuration. The freshwater groups are of great importance in our proposal because we understand them as the freshwater habitats present in the basin. Additionally, the rarity and representativeness criteria are derived from these groups.</p>
</sec>
<sec id="s2-7">
<title>2.7 Identification and selection of integrity indexes by KEA</title>
<p>Our methodology considers integrity as the capacity of a basin to support and maintain the broad range of ecological processes and functions essential for both biodiversity sustainability and the resources and services that the basin provides to society (<xref ref-type="bibr" rid="B48">Flotemersch et al., 2016</xref>). Based on this definition, our framework uses a set of indexes to assess how the identified threats (in Step 0) may impact the KEAs in the study basin, in turn affecting ecosystem integrity.</p>
</sec>
<sec id="s2-8">
<title>2.8 Identification, selection, and configuration of models or analysis tools and calculation of indexes for freshwater groups and integrity</title>
<p>The selection of models and analysis tools is based on the indexes defined for the freshwater and integrity groups. The selected tools must be sensitive to the threats identified in each KEA. Our framework is flexible and allows for the adoption of different approaches and strategies, such as a conceptual approach (<xref ref-type="bibr" rid="B145">Thornbrugh et al., 2018</xref>), machine learning (<xref ref-type="bibr" rid="B53">Giri et al., 2019</xref>), empirical models, or a combination of these (<xref ref-type="bibr" rid="B44">Einheuser et al., 2013</xref>). Moreover, it is possible to select individual tools for each KEA or to use the same tool to model multiple KEAs.</p>
<p>Once the models and analysis tools have been chosen, this stage also includes collecting and processing the information needed to build the models, configuring and running the selected models, and calculating the indexes corresponding to the river and integrity groups.</p>
</sec>
<sec id="s2-9">
<title>2.9 Identification of freshwater groups sharing similar KEAs</title>
<p>In this step, the defined attribute indexes are used to group the planning units to identify freshwater clusters. Different clustering approaches can be used to achieve this, including hierarchical, partitional, grid, density-based, or model-based methods (<xref ref-type="bibr" rid="B134">Saxena et al., 2017</xref>). The choice of method will depend on the characteristics (qualitative or quantitative) of the attribute indexes selected in Step 2.6. Our goal in identifying freshwater group clusters is to generate connected corridors of high&#x2013;conservation value micro-basins that host the greatest possible diversity of freshwater groups (representativeness criterion) and include the rarest freshwater groups (rarity criterion).</p>
</sec>
<sec id="s2-10">
<title>2.10 Defining and calculating the rarity index</title>
<p>In our methodology, rarity is a measure of the uniqueness or scarcity of a given freshwater group within the study basin, or the proportion or area occupied by that group compared with the rest of the groups present in the basin. Rarity is a criterion in the prioritization process, as described in Step 2.17. Thus, in this phase, we construct an index that reflects the rarity of each freshwater group in the basin using a formula that considers the proportion or relative area occupied by the group in relation to all the groups present. This process produces a numerical index that captures the rarity of each group, enabling the subsequent comparison and prioritization of the groups in the basin.</p>
</sec>
<sec id="s2-11">
<title>2.11 Defining and calculating the connectivity index</title>
<p>Because impacts on aquatic ecosystems are cumulative, we seek to foster connectivity in the prioritized micro-basins due to the importance of connectivity for freshwater ecosystems (<xref ref-type="bibr" rid="B133">Saura et al., 2017</xref>; <xref ref-type="bibr" rid="B68">Herrera-P&#xe9;rez et al., 2019</xref>). Therefore, in this step, we construct an index that reflects the degree of connection between two micro-basins to prioritize corridors of connected micro-basins linking headwater rivers (see Step 2.17). This index is based on the proximity between micro-basins, measured from their centroids or across their river segments. Key references for the construction of this index were <xref ref-type="bibr" rid="B67">Hermoso et al. (2011</xref>, <xref ref-type="bibr" rid="B66">2018)</xref>, <xref ref-type="bibr" rid="B27">Cattarino et al. (2015)</xref>, <xref ref-type="bibr" rid="B167">Wohl (2017)</xref>, and <xref ref-type="bibr" rid="B41">Dorji et al. (2020)</xref>.</p>
</sec>
<sec id="s2-12">
<title>2.12 Defining and calculating the integrity index</title>
<p>In our proposal, integrity plays a fundamental role in both prioritization (see Step 2.17) and the definition of conservation opportunities (see Step 2.16). Both steps require a single index ranging from 0 to 1, where 0 represents low integrity and 1 represents high integrity. Therefore, this step involves constructing an integrity index that groups the indexes defined in Step 2.7 and calculated in Step 2.8. This can be accomplished using aggregation methods, such as geometric or arithmetic aggregation (<xref ref-type="bibr" rid="B84">Juwana et al., 2012</xref>), or multiplicative approaches, such as those used by <xref ref-type="bibr" rid="B145">Thornbrugh et al. (2018)</xref>.</p>
</sec>
<sec id="s2-13">
<title>2.13 Defining and calculating the importance index</title>
<p>The concept of importance in our methodology is closely related to the quantity of conservation values present in a micro-basin. As described in the prioritization section (see Step 2.17), our methodology seeks to maximize importance while achieving the conservation target. In this phase, we construct a numerical index ranging from 0 to 1, where 0 denotes the total absence of conservation values and 1 represents a high concentration of conservation values. One possible approach is to assign a relative weight (between 0 and 1) to each conservation value identified in Step 2.4 and calculate a weighted average of these values. This would provide an index that reflects the overall importance of the conservation values present in the micro-basin.</p>
</sec>
<sec id="s2-14">
<title>2.14 Defining and calculating the representativeness index</title>
<p>Our methodological framework defines representativeness as a measure of the presence of freshwater groups in the network of existing protected areas in the study area. The representativeness index can be constructed by considering the area of the freshwater group and the area covered within the protected areas (<xref ref-type="bibr" rid="B42">Duarte et al., 2016</xref>). If there are no protected areas in the study area, this index will have a value of 0 for all the micro-basins.</p>
</sec>
<sec id="s2-15">
<title>2.15 Configuring complementarity criteria</title>
<p>Complementarity in our methodology refers to the inclusion in the priority portfolio of those freshwater groups that are not represented in protected areas. This concept is closely related to that of representativeness. Therefore, our methodology incorporates this criterion as a constraint in the prioritization process (see Step 2.17) to ensure that the priority portfolio includes existing protected areas in the study area. If there are no protected areas in the study area, this criterion is not considered in the prioritization.</p>
</sec>
<sec id="s2-16">
<title>2.16 Defining conservation opportunities</title>
<p>We followed the proposal of <xref ref-type="bibr" rid="B123">Riato et al. (2020)</xref> to define conservation opportunities, including protection, restoration, and sustainable management, using the integrity index estimated at the micro-basin and sub-basin levels. The process begins by contrasting the indexes on a 2D scatterplot (both indexes should be scaled between 0 and 1, where 0 represents low integrity and 1 represents high integrity). Then, four quadrants are defined, centered on the 0.5 value of each index. If both the micro-basin and sub-basin indexes show values greater than 0.5, the ecosystem is in good condition; thus, it would be best to consider a protection action because doing so would require minimal intervention. If, instead, the index at the sub-basin scale is greater than 0.5 but the index at the micro-basin scale is less than 0.5, it would be more appropriate to consider restoration as the best conservation opportunity because a healthy sub-basin can support this action. However, if both indexes have values below 0.5, sustainable management would be the best option. In this case, protection and restoration would require considerable effort and resources because they would not be supported by good conditions at either scale.</p>
</sec>
<sec id="s2-17">
<title>2.17 Prioritization and optimization</title>
<p>SCP aims to maximize the representation of conservation objects. In our case, it involves identifying the network of micro-basins that maximizes conservation values (importance) while i) promoting the highest representativeness of freshwater groups, ii) connecting the largest number of rare freshwater groups, iii) including micro-basins with high integrity, and iv) generating corridors of connected micro-basins. To achieve this, we relied on the proposal by <xref ref-type="bibr" rid="B67">Hermoso et al. (2011)</xref> to formulate the following optimization objective function <inline-formula id="inf1">
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<p>We propose using the integrity, rarity, representativeness, and connectivity indexes as penalties (with equal weights) along with a constraint that ensures the selection of micro-basins located within existing conservation areas. Thus, micro-basins with lower integrity, higher abundance of a freshwater group, and representation in existing conservation areas will be penalized more significantly.</p>
</sec>
<sec id="s2-18">
<title>2.18 Prioritized portfolio</title>
<p>The conservation portfolio is composed of the priority areas resulting from the optimization process and the conservation opportunities identified from the 2D scatterplot proposed by <xref ref-type="bibr" rid="B123">Riato et al. (2020)</xref>, which must be addressed to achieve the established conservation objectives.</p>
</sec>
</sec>
<sec sec-type="materials|methods" id="s3">
<title>3 Materials and methods</title>
<sec id="s3-1">
<title>3.1 Study area</title>
<p>For the application of our methodological framework, we considered the Caquet&#xe1; River basin, which covers an area of 148,763&#xa0;km<sup>2</sup> and represents 31% of the Colombian Amazon biome (<xref ref-type="fig" rid="F2">Figures 2A&#x2013;C</xref>). This region has an altitudinal gradient of 4,200&#x2013;60 masl (<xref ref-type="fig" rid="F2">Figure 2D</xref>), generating a spatially variable annual precipitation range of 790&#x2013;4,924&#xa0;mm. The climate is characterized by two rainy seasons per year in the mountain zone (March&#x2013;May and October&#x2013;December) and one season in the central and foothill zones (April&#x2013;June). These climatic conditions foster a wide range of cold to warm tropical environments.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Caquet&#xe1; River basin. <bold>(A)</bold> Location in South America. <bold>(B)</bold> Location in Colombia. <bold>(C)</bold> Hydrographic map of the Caquet&#xe1; River basin and main rivers. <bold>(D)</bold> Elevation profile of the Caquet&#xe1; River. <bold>(E)</bold> Profile of accumulated area (tributaries) on the Caquet&#xe1; River.</p>
</caption>
<graphic xlink:href="fenvs-11-1264392-g002.tif"/>
</fig>
<p>The Caquet&#xe1; River is 1,400&#xa0;km in length and collects the waters from other important rivers, such as Orteguaza (696&#xa0;m<sup>3</sup>/s), Cagu&#xe1;n (1,142&#xa0;m<sup>3</sup>/s), Yar&#xed; (2,138&#xa0;m<sup>3</sup>/s), Cahunar&#xed; (986&#xa0;m<sup>3</sup>/s), and Mirit&#xed; Paran&#xe1; (654&#xa0;m<sup>3</sup>/s), reaching an average annual flow of 10,100&#xa0;m<sup>3</sup>/s. Approximately 13% of its drainage area is wetlands, of which 18% have been intervened on or transformed by anthropic actions (<xref ref-type="bibr" rid="B95">Ministerio de Ambiente Desarrollo Sostenible, 2021</xref>). Currently, 21% of the basin is protected by 10 natural parks (<xref ref-type="fig" rid="F2">Figure 2C</xref>) (<xref ref-type="bibr" rid="B111">Parques Nacionales Naturales de Colombia, 2020</xref>).</p>
<p>The characteristics of the Caquet&#xe1; River basin support biodiversity in its freshwater ecosystems. More than 400 fish species have been recorded in the different tributaries (<xref ref-type="bibr" rid="B28">Celis-Granada et al., 2022</xref>). The Caquet&#xe1; River is also an important migratory corridor for 23 species, including turtles (e.g., <italic>Podocnemis expansa</italic>), fish (e.g., <italic>Brachyplatystoma rousseauxii</italic>), and dolphins (e.g., <italic>Sotalia fluviatilis</italic>) (<xref ref-type="bibr" rid="B62">He et al., 2018</xref>; <xref ref-type="bibr" rid="B63">2021</xref>; <xref ref-type="bibr" rid="B21">Caldas et al., 2023</xref>). Cultural richness is also a distinctive feature of this area, which is home to Indigenous, peasant, and Raizales communities (<xref ref-type="bibr" rid="B2">Agencia Nacional de Tierras, 2023</xref>). Indigenous communities have a greater presence in the territory, with 96 legally constituted Indigenous reserves occupying 43% of the total area and bringing together peoples such as the Murui-Muinane, Yucuna, Andoque, Inga, and Coreguaje, among others (<xref ref-type="bibr" rid="B2">Agencia Nacional de Tierras, 2023</xref>). There is also recorded evidence of uncontacted isolated communities in this region (<xref ref-type="bibr" rid="B136">Seifart and Echeverri, 2014</xref>; <xref ref-type="bibr" rid="B161">Walker et al., 2016</xref>; <xref ref-type="bibr" rid="B160">Walker and Hamilton, 2019</xref>).</p>
</sec>
<sec id="s3-2">
<title>3.2 Conservation targets</title>
<p>Recognizing the global importance of the Amazon River basin for the conservation of freshwater biodiversity and the communities that depend on it, The Nature Conservancy has prioritized this area in its conservation vision for 2030 (<xref ref-type="bibr" rid="B143">The Nature Conservancy, 2022</xref>). As part of this commitment, they have embarked on a conservation planning process to establish a roadmap for their future work, thereby helping to preserve the biodiversity and the values it supports. To achieve this, The Nature Conservancy developed a conservation plan for the Amazon River basin with the following objectives, which we have considered for the Caquet&#xe1; River basin.<list list-type="simple">
<list-item>
<p>&#x2022; Conserve 80% of the main rivers (large and very large; flow &#x3e;100&#xa0;m<sup>3</sup>/s), ensuring connected corridors that remain functional/healthy.</p>
</list-item>
<list-item>
<p>&#x2022; Conserve 30% of the headwater rivers (small and medium-sized; flow &#x2264;100&#xa0;m<sup>3</sup>/s), ensuring connected corridors to the main channels that remain functional/healthy.</p>
</list-item>
</list>
</p>
<p>The materialization of these objectives by The Nature Conservancy would contribute to Target 3 of the United Nations Convention on Biological Diversity: to protect and effectively manage 30% of the world&#x2019;s terrestrial, inland waters, and coastal and marine areas by 2030 (<xref ref-type="bibr" rid="B105">ONU, 2022</xref>).</p>
</sec>
<sec id="s3-3">
<title>3.3 Spatial units of analysis</title>
<p>To delimit the micro- and sub-basins of the Caquet&#xe1; River basin, we used the Shuttle Radar Topography Mission DEM with a 90-m resolution (<xref ref-type="bibr" rid="B83">Jarvis et al., 2008</xref>). We processed the DEM using ArcGIS 10.7 and ArcHydro Tools. To delimit micro-basins, we used an area accumulation threshold of 2.8&#xa0;km<sup>2</sup>. However, in areas where the river profile showed a steeper slope than the adjacent segments, known as knickpoints, we performed an additional segmentation. For this subdivision, we considered the geomorphological conditions of the areas and the habitats they provide (<xref ref-type="bibr" rid="B130">Ross et al., 2001</xref>) and used the algorithm proposed by <xref ref-type="bibr" rid="B61">Hayakawa and Oguchi (2006)</xref> to detect the knickpoints. We defined the sub-basins according to the delimitations established by the environmental authority, Corporaci&#xf3;n para el Desarrollo Sostenible del Sur de la Amazonia (Corpoamazon&#xed;a), so the proposed conservation portfolio can be effectively integrated with territorial planning instruments.</p>
</sec>
<sec id="s3-4">
<title>3.4 Conservation values</title>
<p>We considered the following conservation values for the Caquet&#xe1; River basin:</p>
<p>
<bold>Species:</bold> i) We obtained information on 55 species of fish, 47 species of amphibians, and 102 species of aquatic birds from the collaborative BioModelos system of the Alexander Von Humboldt Institute (<xref ref-type="bibr" rid="B155">Vel&#xe1;squez-Tibat&#xe1; et al., 2019</xref>). ii) We considered the distribution of four species (<italic>Pteronura brasiliensis, S. fluviatilis, Tapirus terrestres, Tapirus pinchaque</italic>) in danger of extinction as reported by the <xref ref-type="bibr" rid="B80">IUCN (2022)</xref>. iii) Data on megafauna species and their migratory corridors were taken from <xref ref-type="bibr" rid="B21">Caldas et al. (2023)</xref> and <xref ref-type="bibr" rid="B62">He et al. (2018)</xref>, respectively.</p>
<p>
<bold>Ecosystem services:</bold> Recreation and tourism were integrated based on the distribution of recreation person-days, which we generated using the InVEST Visitation: Recreation and Tourism model (<xref ref-type="bibr" rid="B101">Natural Capital Project, 2022</xref>).</p>
<p>
<bold>Cultural areas:</bold> Ninety-six Indigenous reserves were included from two areas of the Raizales community and one peasant reserve, using the information reported by Agencia Nacional de Tierras (2023).</p>
<p>
<bold>Spiritual areas:</bold> Sacred and spiritual sites for Indigenous communities were defined according to <xref ref-type="bibr" rid="B106">Organizaci&#xf3;n Nacional de los Pueblos Ind&#xed;genas de la Amazonia Colombiana (2017)</xref>, considering the importance they represent for the cosmovision of Indigenous peoples (The Nature Conservancy and The Amazon Conservation Team, 2019).</p>
</sec>
<sec id="s3-5">
<title>3.5 KEAs, threats, and their sources</title>
<p>In Amazonian freshwater ecosystems, including the Caquet&#xe1; River basin, deforestation is primarily driven by agricultural and livestock expansion. These activities are also sources of phosphorus and nitrogen pollution resulting from the fertilization of pastures and crops. Other sources of pollution include oil and gas concessions and legal and illegal mining activities, the latter of which is primarily associated with mercury contamination from gold extraction (<xref ref-type="bibr" rid="B26">Castello et al., 2013</xref>). According to <xref ref-type="bibr" rid="B39">Diaz et al. (2020)</xref>, Colombia is among the countries that use the greatest amount of mercury to produce one ton of gold (4.19 Hg/ton). Moreover, climate change has reduced precipitation and increased temperatures in the Amazon (<xref ref-type="bibr" rid="B85">Killeen and Sol&#xf3;rzano, 2008</xref>). The Caquet&#xe1; basin does not currently have hydropower development modifying water and sediment flows or disrupting the river network. <xref ref-type="table" rid="T1">Table 1</xref> summarizes the main threats and the sources that we considered in our analysis, according to the selected KEAs.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Key ecological attributes (KEAs), main threats, their sources and attribute and integrity indexes selected for the Caquet&#xe1; River basin.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">KEAs</th>
<th align="center">Threats</th>
<th align="center">Source</th>
<th align="center">Attribute indexes</th>
<th align="center">Integrity indexes</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="5" align="center">Hydrological regime</td>
<td rowspan="5" align="center">Climate change</td>
<td rowspan="5" align="center">Precipitation and temperature variations</td>
<td align="center">Magnitude: mean annual flow</td>
<td rowspan="5" align="center">Index of percentage variation in the duration curve percentiles of streamflow <inline-formula id="inf2">
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<td align="center">Duration: high flow duration</td>
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<tr>
<td align="center">Rate of change: slope of flow duration curve</td>
</tr>
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<td align="center">Timing: high flow date</td>
</tr>
<tr>
<td rowspan="3" align="center">Sediment flow</td>
<td align="center">Climate change</td>
<td align="center">Agriculture</td>
<td rowspan="3" align="center">Average sediment transport capacity in bankfull condition</td>
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<mml:math id="m4">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
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</mml:mrow>
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</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="center">Deforestation</td>
<td align="center">Livestock</td>
</tr>
<tr>
<td align="left"/>
<td align="center">Precipitation and temperature variations</td>
</tr>
<tr>
<td rowspan="4" align="center">Water quality</td>
<td rowspan="4" align="center">Pollution</td>
<td align="center">Agriculture</td>
<td rowspan="4" align="center">Backwater river<break/>Whitewater river<break/>Clearwater river</td>
<td rowspan="4" align="center">Water quality index <inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
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</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="center">Livestock</td>
</tr>
<tr>
<td align="center">Legal and illegal mining</td>
</tr>
<tr>
<td align="center">Oil and gas concessions</td>
</tr>
<tr>
<td rowspan="4" align="center">Physical structure</td>
<td rowspan="4" align="center">Deforestation</td>
<td align="center">Agriculture livestock</td>
<td align="center">Confined</td>
<td rowspan="4" align="center">Stressor mapping index (<inline-formula id="inf5">
<mml:math id="m6">
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</mml:mrow>
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</inline-formula>)</td>
</tr>
<tr>
<td align="center">Infrastructure</td>
<td align="center">Unconfined</td>
</tr>
<tr>
<td rowspan="2" align="center">Fires</td>
<td align="center">Capacity-limited</td>
</tr>
<tr>
<td align="center">Supply-limited</td>
</tr>
<tr>
<td align="center">Connectivity</td>
<td align="center">Hydropower plants</td>
<td align="center">Without current sources</td>
<td align="center">Dendritic connectivity index</td>
<td align="center">Longitudinal connectivity index <inline-formula id="inf6">
<mml:math id="m7">
<mml:mrow>
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<mml:mrow>
<mml:msub>
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</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-6">
<title>3.6 Freshwater group indexes</title>
<p>Here, we describe the indexes selected for each KEA in the case study.</p>
<p>
<bold>Hydrological regime:</bold> We considered the components of the hydrological regime (magnitude, frequency, duration, timing, and rate of change) using the following hydrological signatures of the Caquet&#xe1; River (<xref ref-type="bibr" rid="B93">McMillan, 2020</xref>; <xref ref-type="bibr" rid="B94">2021</xref>): i) mean annual flow (magnitude), ii) high flow duration (duration), iii) frequency of peak flow (frequency), iv) slope of the flow duration curve (rate of change), and v) mean half flow date (timing) (<xref ref-type="table" rid="T1">Table 1</xref>).</p>
<p>
<bold>Sediment transport:</bold> We estimated the sediment transport capacity under bankfull conditions as an index for this KEA (<xref ref-type="table" rid="T1">Table 1</xref>).</p>
<p>
<bold>Water quality:</bold> For Amazonian environments, three types of water have been defined in terms of chemical composition (<xref ref-type="bibr" rid="B127">R&#xed;os-Villamizar et al., 2013</xref>): i) blackwater rivers, ii) clearwater rivers, and iii) whitewater rivers (see <xref ref-type="table" rid="T1">Table 1</xref>).</p>
<p>
<bold>Physical structure:</bold> Considering the importance of biotic productivity (<xref ref-type="bibr" rid="B156">Venarsky et al., 2018</xref>) and available habitats in freshwater ecosystems (<xref ref-type="bibr" rid="B47">Flores et al., 2006</xref>; <xref ref-type="bibr" rid="B19">Buffington and Montgomery, 2022</xref>), we selected the following indexes to assess the study area&#x2019;s physical structure: i) the morphological configuration of the river, which can be confined or unconfined, and ii) the specific stream power, which can be capacity- or supply-limited (<xref ref-type="table" rid="T1">Table 1</xref>).</p>
<p>
<bold>Connectivity:</bold> Connectivity is an essential attribute of freshwater ecosystems (<xref ref-type="bibr" rid="B133">Saura et al., 2017</xref>; <xref ref-type="bibr" rid="B68">Herrera-P&#xe9;rez et al., 2019</xref>), particularly for fish that perform migratory movements in the Caquet&#xe1; River basin, such as the <italic>B. rousseauxii</italic> catfish (<xref ref-type="bibr" rid="B31">C&#xf3;rdoba et al., 2013</xref>). For this KEA, we have selected the dendritic connectivity index, as proposed by <xref ref-type="bibr" rid="B35">Cote et al. (2009)</xref> (<xref ref-type="table" rid="T1">Table 1</xref>).</p>
<p>
<statement content-type="step" id="Step_3_9">
<label>Step 3.9</label>
<p>details how we used these attribute indexes to identify freshwater groups.</p>
</statement>
</p>
</sec>
<sec id="s3-7">
<title>3.7 Integrity indexes</title>
<p>
<bold>Hydrological regime and sediment transport:</bold> Based on the hydrological alterations concept by <xref ref-type="bibr" rid="B117">Poff et al. (2010)</xref>, we created an index that allows us to evaluate the impact of the climate change threat on the hydrological regime and sediment transport. The mass flow index (<inline-formula id="inf7">
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</mml:mrow>
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</inline-formula> according to the considered variable) assesses the average percentage variation of the <inline-formula id="inf9">
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</mml:mrow>
</mml:math>
</inline-formula> percentiles of the duration curve (5, 10, 15, <inline-formula id="inf10">
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</inline-formula>, 95) of streamflow <inline-formula id="inf11">
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</inline-formula> and a climate change condition <inline-formula id="inf14">
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</mml:mfrac>
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<mml:mi>h</mml:mi>
</mml:mrow>
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</mml:mrow>
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</mml:mrow>
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</mml:mrow>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:msub>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>where <inline-formula id="inf15">
<mml:math id="m18">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the number of percentiles of the streamflow or sediment flow duration curve.</p>
<p>
<bold>Water quality:</bold> We considered the following water quality index <inline-formula id="inf16">
<mml:math id="m19">
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</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B107">Orjuela and Lopez, 2011</xref>; <xref ref-type="bibr" rid="B3">Akhtar et al., 2021</xref>) as representative of the river&#x2019;s chemical composition in our study area:<disp-formula id="equ4">
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<mml:math id="m21">
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<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>where <inline-formula id="inf17">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>W</mml:mi>
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</mml:mrow>
</mml:msub>
<mml:mi>d</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the value of the sub-index for water quality determinant <inline-formula id="inf18">
<mml:math id="m23">
<mml:mrow>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, which has a value between 0 and 1; <inline-formula id="inf19">
<mml:math id="m24">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the number of water quality determinants considered; and <inline-formula id="inf20">
<mml:math id="m25">
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the weighting factor. We used equal weights for each determinant with a value of <inline-formula id="inf21">
<mml:math id="m26">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>. The subscripts for each considered water quality determinant are presented in <xref ref-type="table" rid="T2">Table 2</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Sub-indexes considered for each of the water quality determinants considered in the water quality index and stress factors considered to affect physical structure.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="3" align="center">Sub-indexes for each of the water quality determinants</th>
</tr>
<tr>
<td align="center">Water quality determinants</td>
<td align="center">Sub-index functions</td>
<td align="center">Source</td>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Dissolved oxygen</td>
<td align="center">
<inline-formula id="inf22">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>Q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>0.01</mml:mn>
<mml:mo>&#x2a;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:msub>
<mml:mi>O</mml:mi>
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</mml:msub>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<xref ref-type="bibr" rid="B107">Orjuela and Lopez (2011)</xref>
</td>
</tr>
<tr>
<td align="center">Suspended solids</td>
<td align="center">
<inline-formula id="inf23">
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<mml:msub>
<mml:mi>S</mml:mi>
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</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:msub>
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<mml:mn>1</mml:mn>
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<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.02</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>0.003</mml:mn>
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<mml:mi>S</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<xref ref-type="bibr" rid="B107">Orjuela and Lopez (2011)</xref>
</td>
</tr>
<tr>
<td align="center">Total nitrogen (NO &#x2b; NH<sub>4</sub> &#x2b; NO<sub>3</sub>)</td>
<td align="center">
<inline-formula id="inf24">
<mml:math id="m29">
<mml:mrow>
<mml:msub>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>Q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>0.5</mml:mn>
<mml:msub>
<mml:mi>log</mml:mi>
<mml:mn>10</mml:mn>
</mml:msub>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>T</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<xref ref-type="bibr" rid="B11">Armida (2007)</xref>
</td>
</tr>
<tr>
<td align="center">Total phosphorus (Po &#x2b; Pi)</td>
<td align="center">
<inline-formula id="inf25">
<mml:math id="m30">
<mml:mrow>
<mml:msub>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>Q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>0.6</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.4</mml:mn>
<mml:msub>
<mml:mi>log</mml:mi>
<mml:mn>10</mml:mn>
</mml:msub>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>T</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<xref ref-type="bibr" rid="B11">Armida (2007)</xref>
</td>
</tr>
<tr>
<td align="center">Pathogenic organisms</td>
<td align="center">
<inline-formula id="inf26">
<mml:math id="m31">
<mml:mrow>
<mml:msub>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>Q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mi>X</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1.44</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.56</mml:mn>
<mml:msub>
<mml:mi>log</mml:mi>
<mml:mn>10</mml:mn>
</mml:msub>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>X</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<xref ref-type="bibr" rid="B11">Armida (2007)</xref>
</td>
</tr>
<tr>
<td align="center">Organic matter</td>
<td align="center">
<inline-formula id="inf27">
<mml:math id="m32">
<mml:mrow>
<mml:msub>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>Q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.05</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.7</mml:mn>
<mml:msub>
<mml:mi>log</mml:mi>
<mml:mn>10</mml:mn>
</mml:msub>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>O</mml:mi>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<xref ref-type="bibr" rid="B120">Ramirez et al. (1997)</xref>
</td>
</tr>
<tr>
<td align="center">Total mercury</td>
<td align="center">
<inline-formula id="inf28">
<mml:math id="m33">
<mml:mrow>
<mml:msub>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>Q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mi>f</mml:mi>
<mml:mrow>
<mml:mfenced open="{" close="" separators="|">
<mml:mrow>
<mml:mtable columnalign="center">
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0.001</mml:mn>
<mml:mtext>&#x2009;mg</mml:mtext>
<mml:mo>/</mml:mo>
<mml:mi mathvariant="normal">l</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
</mml:mrow>
</mml:mtd>
<mml:mtd>
<mml:mn>0</mml:mn>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>0.001</mml:mn>
<mml:mtext>&#x2009;mg</mml:mtext>
<mml:mo>/</mml:mo>
<mml:mi mathvariant="normal">l</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
</mml:mrow>
</mml:mtd>
<mml:mtd>
<mml:mn>1</mml:mn>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<xref ref-type="bibr" rid="B175">Ministerio de Salud y Protecci&#xf3;n Social, and Ministerio de Ambiente y Desarrollo Sostenible (2007)</xref>
</td>
</tr>
<tr>
<td colspan="3" align="center">Stress factors considered to affect physical structure</td>
</tr>
<tr>
<td style="background-color:#c6c7c9" align="center">Stressor <inline-formula id="inf29">
<mml:math id="m34">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>z</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td style="background-color:#c6c7c9" align="center">Unit</td>
<td style="background-color:#c6c7c9" align="center">Source</td>
</tr>
<tr>
<td align="center">Presence of roads</td>
<td align="center">m</td>
<td align="center">
<xref ref-type="bibr" rid="B174">Instituto Geogr&#xe1;fico Agust&#xed;n Codazzi (2022)</xref>
</td>
</tr>
<tr>
<td align="center">Presence of urban area</td>
<td align="center">m<sup>2</sup>
</td>
<td align="center">
<xref ref-type="bibr" rid="B172">Departamento Administrativo Nacional de Estad&#xed;stica (2018)</xref>
</td>
</tr>
<tr>
<td align="center">Presence of oil wells</td>
<td align="center">number</td>
<td align="center">
<xref ref-type="bibr" rid="B2">Agencia Nacional de Tierras (2023)</xref>
</td>
</tr>
<tr>
<td align="center">Presence of mining titles</td>
<td align="center">m<sup>2</sup>
</td>
<td align="center">
<xref ref-type="bibr" rid="B176">Unidad de Planeaci&#xf3;n Minero Energ&#xe9;tica (2022b)</xref>
</td>
</tr>
<tr>
<td align="center">Density of burning areas</td>
<td align="center">m<sup>2</sup>/m<sup>2</sup>
</td>
<td align="center">
<xref ref-type="bibr" rid="B77">Instituto Amaz&#xf3;nico de Investigaciones Cient&#xed;ficas (2022a)</xref>
</td>
</tr>
<tr>
<td align="center">Density of deforested area</td>
<td align="center">m<sup>2</sup>/m<sup>2</sup>
</td>
<td align="center">
<xref ref-type="bibr" rid="B76">Instituto Amaz&#xf3;nico de Investigaciones Cient&#xed;ficas (2020)</xref>
</td>
</tr>
<tr>
<td align="center">Density of transformed wetlands</td>
<td align="center">m<sup>2</sup>/m<sup>2</sup>
</td>
<td align="center">
<xref ref-type="bibr" rid="B20">Burbano-Gir&#xf3;n et al. (2020)</xref>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>In <xref ref-type="table" rid="T2">Table 2</xref>, <inline-formula id="inf30">
<mml:math id="m35">
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the suspended solids concentration (mg/L); <inline-formula id="inf31">
<mml:math id="m36">
<mml:mrow>
<mml:mi>X</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the concentration of pathogenic organisms (NMP/100&#xa0;mL); <inline-formula id="inf32">
<mml:math id="m37">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the total nitrogen concentration (mg/L), which includes organic nitrogen, ammoniacal nitrogen, and nitrates; <inline-formula id="inf33">
<mml:math id="m38">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the total phosphorus concentration (mg/L), which includes organic and inorganic phosphorus; <inline-formula id="inf34">
<mml:math id="m39">
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the organic matter concentration (mg/L); <inline-formula id="inf35">
<mml:math id="m40">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the dissolved oxygen concentration (mg/L); <inline-formula id="inf36">
<mml:math id="m41">
<mml:mrow>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the saturation oxygen concentration (mg/L); and <inline-formula id="inf37">
<mml:math id="m42">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the total mercury concentration (mg/L), which includes elemental, divalent, and methyl mercury. For total mercury, we considered a binary sub-index with two categories (good &#x3d; 1 and bad &#x3d; 0), according to the permissible limit (0.001&#xa0;mg Hg/L) defined by <xref ref-type="bibr" rid="B175">Ministerio de Salud y Protecci&#xf3;n Social and Ministerio de Ambiente Desarrollo Sostenible (2007)</xref> for Colombia.</p>
<p>
<bold>Physical structure:</bold> We adapted a stressor mapping index <inline-formula id="inf38">
<mml:math id="m43">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> from <xref ref-type="bibr" rid="B48">Flotemersch et al. (2016)</xref> by applying a geometric aggregation method (<xref ref-type="bibr" rid="B84">Juwana et al., 2012</xref>):<disp-formula id="equ6">
<mml:math id="m44">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x220f;</mml:mo>
<mml:mrow>
<mml:mi>z</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:munderover>
</mml:mstyle>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>g</mml:mi>
<mml:mi>z</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>z</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>z</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">max</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>z</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:msup>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ7">
<mml:math id="m45">
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>z</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mi>z</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>where <inline-formula id="inf39">
<mml:math id="m46">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>z</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the observed value of stressor <inline-formula id="inf40">
<mml:math id="m47">
<mml:mrow>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> in a micro-basin, <inline-formula id="inf41">
<mml:math id="m48">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>z</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">max</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the maximum value of stressor <inline-formula id="inf42">
<mml:math id="m49">
<mml:mrow>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> at the micro-basin level in the entire study area (where <inline-formula id="inf43">
<mml:math id="m50">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>z</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>z</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">max</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> varies from 0 for unaltered to 1 for maximum impact), <inline-formula id="inf44">
<mml:math id="m51">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the number of stressors affecting the physical structure of the ecosystem, <inline-formula id="inf45">
<mml:math id="m52">
<mml:mrow>
<mml:msub>
<mml:mi>g</mml:mi>
<mml:mi>z</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is a mathematical function of a single variable that describes the degree of impact caused by stressor <inline-formula id="inf46">
<mml:math id="m53">
<mml:mrow>
<mml:mi>z</mml:mi>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf47">
<mml:math id="m54">
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mi>z</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the weighting factor. We used equal weights for each stressor with a value of <inline-formula id="inf48">
<mml:math id="m55">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>The stressors we refer to are anthropogenic disturbances that degrade ecosystems and, therefore, their functions (<xref ref-type="bibr" rid="B48">Flotemersch et al., 2016</xref>) (e.g., human-caused forest fires, agricultural land use, urban areas, and road density). To calculate the <inline-formula id="inf49">
<mml:math id="m56">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> index, we used the stressors listed in <xref ref-type="table" rid="T2">Table 2</xref>. The technical details of the configuration, inputs, and outputs of the models used can be found in the Supplementary Material.</p>
<p>
<bold>Connectivity:</bold> We constructed a longitudinal connectivity index <inline-formula id="inf50">
<mml:math id="m57">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
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<mml:mi>C</mml:mi>
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</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>:<disp-formula id="equ8">
<mml:math id="m58">
<mml:mrow>
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<mml:mi>I</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>B</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>A</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>where <inline-formula id="inf51">
<mml:math id="m59">
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>A</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the length of the shortest path from a micro-basin to the mouth of the analyzed basin, without considering the presence of barriers that may generate a disconnection, and <inline-formula id="inf52">
<mml:math id="m60">
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>B</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the length of the shortest connected path between a micro-basin and the mouth of the analyzed basin, considering the presence of barriers in the channel. In this case, the length is measured from the mouth to the first barrier encountered. <xref ref-type="table" rid="T1">Table 1</xref> presents a summary of the integrity indexes by KEA. The implementation of the indexes described here (including scaling and ranges) is detailed in Step 3.12.</p>
</sec>
<sec id="s3-8">
<title>3.8 Models and analysis tools</title>
<p>To estimate the two groups of considered indexes&#x2014;freshwater group indexes and river integrity indexes&#x2014;we configured a set of models and analysis tools for each KEA. The purpose and objectives of these tools are outlined in the following sections. The Supplementary Material provides the technical details of the configuration, inputs, and outputs of the models.</p>
<sec id="s3-8-1">
<title>3.8.1 KEA: Hydrological regime</title>
<p>We used the aggregated conceptual hydrological model GR4J (<xref ref-type="bibr" rid="B114">Perrin et al., 2003</xref>) to generate a time series of daily mean discharge in each of the micro-basins and sub-basins defined for the Caquet&#xe1; River basin. We selected this model for its parsimonious structure, low data requirements for configuration, and good performance in tropical basins (<xref ref-type="bibr" rid="B25">Carvajal and Rold&#xe1;n, 2007</xref>; <xref ref-type="bibr" rid="B10">Anshuman et al., 2019</xref>; <xref ref-type="bibr" rid="B24">Carlos et al., 2023</xref>). For its configuration, we used data generated by the hydro-climatological monitoring network of the Instituto de Hidrolog&#xed;a, Meteorolog&#xed;a y Estudios Ambientales (IDEAM), which consists of 104, 92, and 11 stations that record precipitation, temperature (maximum, minimum, and mean), and discharge, respectively. We used the Grubbs test (<xref ref-type="bibr" rid="B56">Grubbs, 1950</xref>), the Tukey test (<xref ref-type="bibr" rid="B151">Tukey, 1977</xref>), and the double median absolute deviation test (<xref ref-type="bibr" rid="B118">Prabhakar et al., 2022</xref>) to detect and remove outliers. We filled in missing precipitation and temperature records using the inverse distance weighting method (<xref ref-type="bibr" rid="B137">Shepard, 1968</xref>) and ordinary least squares method (<xref ref-type="bibr" rid="B140">Stahl et al., 2006</xref>), respectively. To calibrate the hydrological model, we applied the dynamically dimensioned search optimization algorithm proposed by <xref ref-type="bibr" rid="B148">Tolson and Shoemaker (2007)</xref> and selected the Nash-Sutcliffe efficiency coefficient as the objective function (<xref ref-type="bibr" rid="B100">Nash and Sutcliffe, 1970</xref>). The calibration and validation periods for the 11 selected discharge stations were 1985&#x2013;2005 and 2005&#x2013;2020, respectively.</p>
<p>To evaluate climate change, we relied on projected precipitation and temperature data between 2020 and 2050 from six global circulation models (<xref ref-type="table" rid="T3">Table 3</xref>). These data were generated under a shared socioeconomic pathway of fossil-fuel-driven development to reach a radiative forcing condition of 8.5&#xa0;W/m<sup>2</sup> by 2,100 (most critical scenario) (<xref ref-type="bibr" rid="B6">Almazroui et al., 2021</xref>). We corrected bias in the data using the bias-corrected statistical disaggregation method (<xref ref-type="bibr" rid="B169">Wood et al., 2004</xref>; <xref ref-type="bibr" rid="B58">Gupta et al., 2019</xref>; <xref ref-type="bibr" rid="B121">Ratri et al., 2019</xref>). We used the adjusted series to run the GR4J model, generating six discharge series, which were then ensemble-averaged at each time step.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>CMIP6 global circulation models evaluated in the study.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Model</th>
<th align="center">Institution</th>
<th align="center">Country</th>
<th align="center">Resolution</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">ACCESS-ESM1-5</td>
<td align="center">Australian Community Climate and Earth System Simulator</td>
<td align="center">Australia</td>
<td align="center">1.25 &#xb0; &#xd7; 1.875 &#xb0;</td>
</tr>
<tr>
<td align="center">CanESM5</td>
<td align="center">Canadian Centre for Climate Modelling and Analysis</td>
<td align="center">Canada</td>
<td align="center">2.81 &#xb0; &#xd7; 2.81 &#xb0;</td>
</tr>
<tr>
<td align="center">CESM2</td>
<td align="center">National Center for Atmospheric Research</td>
<td align="center">United States of America</td>
<td align="center">0.9 &#xb0; &#xd7; 1.25 &#xb0;</td>
</tr>
<tr>
<td align="center">EC-Earth3</td>
<td align="center">Earth Consortium</td>
<td align="center">Europe</td>
<td align="center">0.35 &#xb0; &#xd7; 0.35 &#xb0;</td>
</tr>
<tr>
<td align="center">MIROC 6</td>
<td align="center">Japan Agency for Marine-Earth Science and Technology</td>
<td align="center">Japan</td>
<td align="center">1.4 &#xb0; &#xd7; 1.4 &#xb0;</td>
</tr>
<tr>
<td align="center">MPI-ESM1-2-LR</td>
<td align="center">Max Planck Institute for Meteorology</td>
<td align="center">Germany</td>
<td align="center">1.875 &#xb0; &#xd7; 1.86 &#xb0;</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Using the toolbox for streamflow signatures in hydrology (<xref ref-type="bibr" rid="B54">Gnann et al., 2021</xref>) and the discharge series generated with the GR4J hydrological model for the historical condition, we assessed the selected hydrological signatures to determine the freshwater groups.</p>
<p>With the same tool, we constructed flow duration curves for both the historical and climate change conditions and calculated the hydrological integrity index, <inline-formula id="inf53">
<mml:math id="m61">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. The schematic representation of our calculation process for the two groups of hydrological regime indexes is shown in Supplementary Material.</p>
</sec>
<sec id="s3-8-2">
<title>3.8.2 KEA: Sediment transport</title>
<p>We used a modified version of the Catchment Sediment Connectivity and Delivery tool (<xref ref-type="bibr" rid="B135">Schmitt et al., 2016</xref>) to represent sediment flow and provenance in the Caquet&#xe1; River basin. To configure the tool, we divided the micro-basins into those with sandy riverbeds and reaches with gravel beds, assuming that the former is capacity-limited (slope &#x2264;0.025&#xa0;m/m) and the latter are supply-limited (slope &#x3e;0.025&#xa0;m/m), using the criterion proposed by <xref ref-type="bibr" rid="B47">Flores et al. (2006)</xref>.</p>
<p>We determined the bankfull hydraulic conditions (width, depth, and velocity) and the mean sediment size (D<sub>50</sub>) by solving the equations proposed by <xref ref-type="bibr" rid="B165">Wilkerson and Parker (2011)</xref> (sand beds) and <xref ref-type="bibr" rid="B110">Parker et al. (2007)</xref> (gravel beds) based on the approach used by <xref ref-type="bibr" rid="B135">Schmitt et al. (2016)</xref>. We verified the estimation results for micro-basins with sandy beds using D<sub>50</sub> data from six sediment samplings we gathered from the main channel of the Orteguaza and Caquet&#xe1; Rivers. The number of samplings was limited due to safety conditions in the Caquet&#xe1; River basin. We adjusted both equations by introducing correction factors&#x2014;one for slope in the sections with sandy beds and another for width in the channels with gravel beds&#x2014;both of which depend on the bankfull discharge of the micro-basins.</p>
<p>We also adjusted the bankfull widths in sites with rapids or geological confinement using the rapid sites reported in the <xref ref-type="bibr" rid="B174">Instituto Geogr&#xe1;fico Agust&#xed;n Codazzi (2022)</xref> national base mapping and the corresponding 2020 satellite images from Google Earth. The bankfull discharge considered for the analysis corresponds to a 2.33-year return period. Finally, to calculate sediment transport, we used the equations by <xref ref-type="bibr" rid="B45">Engelund and Hansen (1967)</xref> and <xref ref-type="bibr" rid="B168">Wong and Parker (2006)</xref> for sections with sandy and gravel beds, respectively.</p>
<p>To calculate the contributions of suspended sediment, we used the InVEST sediment delivery ratio model (<xref ref-type="bibr" rid="B101">Natural Capital Project, 2022</xref>), which utilizes the revised universal soil loss equation (<xref ref-type="bibr" rid="B122">Renard et al., 1996</xref>) to estimate the annual amount of soil loss and, through the sediment delivery ratio (<xref ref-type="bibr" rid="B157">Vigiak et al., 2012a</xref>), estimates the proportion of soil loss reaching the river. For its configuration, we used the information presented in <xref ref-type="table" rid="T4">Table 4</xref>. We validated the simulated sediment delivery ratio values with the suspended sediment records reported by <xref ref-type="bibr" rid="B79">Instituto de Hidrolog&#xed;a Meteorolog&#xed;a y Estudios Ambientales (2019)</xref>.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Information used to configure the sediment delivery ratio in the Caquet&#xe1; River basin.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Variable</th>
<th align="center">Description</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Precipitation</td>
<td align="center">Fields interpolated with inverse distance weighting (<xref ref-type="bibr" rid="B137">Shepard, 1968</xref>) using the data fed into the hydrological model</td>
</tr>
<tr>
<td align="center">Land use/land cover</td>
<td align="center">2020 national land cover at a 1:100,000 scale generated by <xref ref-type="bibr" rid="B176">Instituto Amaz&#xf3;nico de Investigaciones Cient&#xed;ficas (2021)</xref>
</td>
</tr>
<tr>
<td align="center">Rainfall erosivity</td>
<td align="center">Relationship proposed by <xref ref-type="bibr" rid="B112">Perez Arango and Mesa (2002)</xref> for Colombia</td>
</tr>
<tr>
<td align="center">Soil erodibility</td>
<td align="center">Method proposed by <xref ref-type="bibr" rid="B7">Anache et al. (2015)</xref>, utilizing the textural distribution data from <xref ref-type="bibr" rid="B64">Hengl et al. (2017)</xref>
</td>
</tr>
<tr>
<td align="center">C coefficients</td>
<td align="center">Values assigned in accordance with the information reported by <xref ref-type="bibr" rid="B150">Tosic et al. (2011)</xref>, <xref ref-type="bibr" rid="B131">Rozos et al. (2013)</xref>, <xref ref-type="bibr" rid="B109">Panagos et al. (2015)</xref>, and <xref ref-type="bibr" rid="B108">Pacheco et al. (2019)</xref>
</td>
</tr>
<tr>
<td align="center">P coefficients</td>
<td align="center">The default setting is 1 for all coverages</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Once we configured the models, we used climate data, specifically the multi-year annual average precipitation and the bankfull discharge in the historical condition, to estimate the sediment transport capacity (an index for freshwater groups).</p>
<p>Similarly, we use climate data and discharge data associated with the flow duration percentiles of both the baseline and climate change scenarios to construct the sediment flow duration curve. Using the curve data, we estimated the integrity index <inline-formula id="inf54">
<mml:math id="m62">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
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<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. The Supplementary Material presents a schematic representation of our calculation of the two groups of sediment flow indexes.</p>
</sec>
<sec id="s3-8-3">
<title>3.8.3 KEA: Water quality</title>
<p>Based on the assimilation factor concept proposed by <xref ref-type="bibr" rid="B30">Chapra (2008)</xref>, we constructed a steady-state water quality model that allowed us to estimate 14 water quality determinants (WQD) for the entire Caquet&#xe1; River basin: temperature (T), conductivity (Co), organic nitrogen (NO), ammoniacal nitrogen (NH<sub>4</sub>), nitrates (NO<sub>3</sub>), organic phosphorus (Po), inorganic phosphorus (Pi), organic matter (MO), dissolved oxygen (O), suspended solids (SS), pathogenic organisms (X), elemental mercury (Hg<sup>0</sup>), divalent mercury (Hg<sub>2</sub>), and methyl mercury (MeHg). The equations for the assimilation factors were derived from the ADZ-QUASAR water quality model (<xref ref-type="bibr" rid="B87">Lees et al., 1998</xref>), as addressed by <xref ref-type="bibr" rid="B32">Correa-Caselles (2022)</xref>, <xref ref-type="bibr" rid="B91">Mamani (2022)</xref>, <xref ref-type="bibr" rid="B102">Navas (2016)</xref>, and <xref ref-type="bibr" rid="B128">Rojas (2011)</xref>. The computational implementation of the assimilation factors was carried out in MATLAB using object-oriented programming. Our model was designed to operate at the topological network level under a recursive accumulation scheme, allowing us to analyze large topological networks in minutes with low memory consumption. Additionally, our model assimilates inputs from point and diffuse loads of different WQD.</p>
<p>Considering the identified agricultural sources of contamination (<xref ref-type="table" rid="T1">Table 1</xref>), we used the 2020 national coverages at a 1:100,000 scale generated by <xref ref-type="bibr" rid="B78">Instituto Amaz&#xf3;nico de Investigaciones Cient&#xed;ficas (2022b)</xref> to assign fertilization loads to crop areas. For fertilization with different forms of nitrogen, we assigned a fertilizer with proportions of 50% NO<sub>3</sub> and 50% NH<sub>4</sub>. For grassland areas, we assigned organic fertilization (manure) with a proportion of 40% NO, 30% NO<sub>3</sub>, and 30% NH<sub>4</sub> (<xref ref-type="bibr" rid="B139">Sociedad de Agricultores de Colombia, 2002</xref>). We obtained annual nitrogen load values per fertilizer from the British Survey of Fertiliser Practice (2018). For phosphorus, we assigned a fertilizer with a proportion of 70% Pi and 30% Po (<xref ref-type="bibr" rid="B159">Wade et al., 2007</xref>; <xref ref-type="bibr" rid="B164">Whitehead et al., 2011</xref>; <xref ref-type="bibr" rid="B81">Jackson-Blake et al., 2016</xref>), and we gathered annual phosphorus load values from <xref ref-type="bibr" rid="B113">P&#xe9;rez-V&#xe9;lez (2014)</xref>. To estimate diffuse loads from livestock, we used information from bovine censuses (<xref ref-type="bibr" rid="B72">ICA, 2021</xref>) and the suggested loads by <xref ref-type="bibr" rid="B75">Iglesias-Mart&#xed;nez (1994)</xref>. For coliform loads, we consulted <xref ref-type="bibr" rid="B65">Heras-Sierra et al. (2016)</xref>. We used the connectivity index (<xref ref-type="bibr" rid="B158">Vigiak et al., 2012b</xref>) suggested in the Nutrient Delivery Ratio model (<xref ref-type="bibr" rid="B101">Natural Capital Project, 2022</xref>) to determine the proportion of nutrient delivery to the channel.</p>
<p>We gathered population data by population center (<xref ref-type="bibr" rid="B74">IGAC, 2022</xref>) from the National Population and Housing Census <xref ref-type="bibr" rid="B172">Departamento Administrativo Nacional de Estad&#xed;stica (2018)</xref> and presumptive loads for the WQD as defined by Ministerio de Vivienda Ciudad y Territorio (2017) for Colombia. For oil well concessions, we used data on producing oil wells reported by <xref ref-type="bibr" rid="B171">Agencia Nacional de Hidrocarburos (2022)</xref>. For each well, we estimated the loads of the DWQ using the permissible discharge limits established by <xref ref-type="bibr" rid="B95">Ministerio de Ambiente Desarrollo Sostenible (2021)</xref>. The quantities of water discharged per well were inferred from the water use factors for the production phases of hydrocarbons defined by <xref ref-type="bibr" rid="B79">Instituto de Hidrolog&#xed;a Meteorolog&#xed;a y Estudios Ambientales (2010)</xref>. We quantified mercury discharges from legal and illegal gold mining using Colombia&#x2019;s gold production information for 2022 Unidad de Planeaci&#xf3;n Minero Energ&#xe9;tica (2022a) and the reported mercury use ratios by <xref ref-type="bibr" rid="B39">Diaz et al. (2020)</xref>. To determine the distribution of the different forms of mercury, we used the proportions reported by <xref ref-type="bibr" rid="B132">Sanch&#xe9;z and Ca&#xf1;on (2010)</xref> and previously implemented by <xref ref-type="bibr" rid="B32">Correa-Caselles (2022)</xref>. The spatial distribution of the estimated mercury loads was performed using legally established mining titles (<xref ref-type="bibr" rid="B176">Unidad de Planeaci&#xf3;n Minero Energ&#xe9;tica, 2022b</xref>) and illegal mining sites reported by (<xref ref-type="bibr" rid="B119">RAISG, 2020</xref>). We validated the orders of magnitude of the modeled conventional determinants with data reported by <xref ref-type="bibr" rid="B149">Torres et al. (2021)</xref> and verified the mercury distributions with the results reported by <xref ref-type="bibr" rid="B32">Correa-Caselles (2022)</xref>.</p>
<p>We used the modeled values of suspended solids, nutrients (nitrogen and phosphorus), and organic matter concentrations according to the ranges established by Maco-Garc&#xed;a (2006) to generate the attribute index for the freshwater groups (<xref ref-type="table" rid="T1">Table 1</xref>). We adjusted the result with information on Amazonian water types developed by <xref ref-type="bibr" rid="B127">R&#xed;os-Villamizar et al., 2013</xref>; <xref ref-type="bibr" rid="B125">R&#xed;os-Villamizar et al., 2020a</xref>; <xref ref-type="bibr" rid="B126">R&#xed;os-Villamizar et al., 2020b</xref>), Wildlife Conservation Society (2020), and expert opinions from professionals with extensive experience in the study area. Based on the results obtained from the model, we calculated the sub-indexes corresponding to each water quality determinant, which allowed us to estimate the integrity index <inline-formula id="inf55">
<mml:math id="m63">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>Q</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. In the Supplementary Material we present a schematic representation of the process we followed to calculate the two groups of water quality indexes.</p>
</sec>
<sec id="s3-8-4">
<title>3.8.4 KEA: Physical structure</title>
<p>For physical structure, we chose to use two indexes that do not require the construction of a mathematical model, diverging from the processes used for the previously described KEAs. Instead, we used an attribute-based approach for the freshwater group indexes and spatial analysis through stressor mapping to calculate the integrity index <inline-formula id="inf56">
<mml:math id="m64">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="table" rid="T1">Table 1</xref>).</p>
<p>
<bold>Calculation of freshwater group indexes:</bold> We determined the degree of river confinement by evaluating the relationship between the width of the floodplain or active channel area <inline-formula id="inf57">
<mml:math id="m65">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
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<mml:msub>
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<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> and the width of the bankfull channel <inline-formula id="inf58">
<mml:math id="m66">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
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<mml:mrow>
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</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>. According to <xref ref-type="bibr" rid="B14">Beechie et al. (2006)</xref>, if <inline-formula id="inf59">
<mml:math id="m67">
<mml:mrow>
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</mml:msub>
<mml:mo>/</mml:mo>
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<mml:mrow>
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<mml:mi>f</mml:mi>
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</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, the river is considered confined; otherwise, it is considered unconfined. We used the estimated values of <inline-formula id="inf60">
<mml:math id="m68">
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mrow>
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<mml:mi>f</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and those configured with the Catchment Sediment Connectivity and Delivery tool and calculated the values of <inline-formula id="inf61">
<mml:math id="m69">
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mi>A</mml:mi>
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</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> using the Multi-Resolution Index of Valley Bottom Flatness (<xref ref-type="bibr" rid="B49">Gallant and Dowling, 2003</xref>) with a threshold of 1, which was coherent with the 2020 wetlands map of Colombia (<xref ref-type="bibr" rid="B20">Burbano-Gir&#xf3;n et al., 2020</xref>).</p>
<p>
<bold>Calculation of integrity index:</bold> Following the approach proposed by <xref ref-type="bibr" rid="B48">Flotemersch et al. (2016)</xref>, we calculated the maximum value for each selected stressor per analysis unit. Considering that the Amazon&#x2019;s resilience is declining (<xref ref-type="bibr" rid="B17">Boulton et al., 2022</xref>), we assumed that the ecosystem response to stressors is one of low resilience. Therefore, we used a logistic function to represent the behavior shown by <xref ref-type="bibr" rid="B48">Flotemersch et al. (2016)</xref> and, in this way, estimated the <inline-formula id="inf62">
<mml:math id="m70">
<mml:mrow>
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<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. In the Supplementary Material, we present a schematic representation of our calculation for both groups of physical structure indexes.</p>
</sec>
<sec id="s3-8-5">
<title>3.8.5 KEA: Connectivity</title>
<p>By delimiting the micro-basins using a DEM, we obtained the river lengths between consecutive nodes or fluvial connections, which allowed us to define the topological relationships between the micro-basins using a graphical approach. From this information, the paths from each micro-basin to the mouth of the basin were calculated to construct the established attribute and integrity indexes (<xref ref-type="table" rid="T1">Table 1</xref>).</p>
</sec>
</sec>
<sec id="s3-9">
<title>3.9 Freshwater groups</title>
<p>To identify the freshwater groups in the Caquet&#xe1; River basin, we clustered the micro-basins based on the similarity of the KEAs using the indexes defined in Step 3.6 (<xref ref-type="table" rid="T1">Table 1</xref>). For this process, we used an agglomerative hierarchical clustering method and selected the inconsistency coefficient as the metric for determining the clusters (<xref ref-type="bibr" rid="B134">Saxena et al., 2017</xref>). During the clustering process, we categorized the indexes according to their ranges of variation, as shown in <xref ref-type="table" rid="T5">Table 5</xref>, and used these categories as the basis for clustering to define the freshwater groups.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Ranges and values of attribute indexes per key ecological attribute (KEA) defined for the grouping of freshwater groups in the Caquet&#xe1; River basin.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">KEA</th>
<th align="center">Name</th>
<th align="center">Attribute index</th>
<th align="center">Range</th>
<th align="center">Description</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="16" align="center">Hydrology regimen</td>
<td rowspan="4" align="center">Mean annual flow (m<sup>3</sup>/s)</td>
<td align="center">1</td>
<td align="center">0&#x2013;10</td>
<td align="center">Low flow river</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">10&#x2013;100</td>
<td align="center">Medium flow river</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">100&#x2013;1,000</td>
<td align="center">High flow river</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">1,000&#x2013;10,000</td>
<td align="center">Very high flow river</td>
</tr>
<tr>
<td rowspan="4" align="center">Slope of flow duration curve</td>
<td align="center">1</td>
<td align="center">&#x2212;5.0&#x2013;&#x2212;2.4</td>
<td align="center">Very high variability flow river</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">&#x2212;2.4&#x2013;&#x2212;1.8</td>
<td align="center">High variability flow river</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">&#x2212;1.8&#x2013;&#x2212;1.19</td>
<td align="center">Medium variability flow river</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">&#x2212;1.19&#x2013;0.0</td>
<td align="center">Low variability flow river</td>
</tr>
<tr>
<td rowspan="4" align="center">High flow duration (months)</td>
<td align="center">1</td>
<td align="center">1.0&#x2013;4.5</td>
<td align="center">Low duration high flow</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">4.5&#x2013;5.5</td>
<td align="center">Medium duration high flow</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">5.5&#x2013;6.5</td>
<td align="center">High duration high flow</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">6.5&#x2013;7.5</td>
<td align="center">Very high duration high flow</td>
</tr>
<tr>
<td rowspan="2" align="center">Mean half flow date (months)</td>
<td align="center">1</td>
<td align="center">-</td>
<td align="center">Average flow rate is reached in the first half of the year</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">-</td>
<td align="center">Average flow rate is reached in the second half of the year</td>
</tr>
<tr>
<td rowspan="2" align="center">Frequency of peak flow</td>
<td align="center">1</td>
<td align="center">-</td>
<td align="center">Single peak per year</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">-</td>
<td align="center">Two peaks per year</td>
</tr>
<tr>
<td rowspan="4" align="center">Sediment transport</td>
<td rowspan="4" align="center">Average sediment transport capacity, in bankfull condition (tons/year)</td>
<td align="center">1</td>
<td align="center">1.00E&#x2b;00&#x2013;1.00E&#x2b;06</td>
<td align="center">Low sediment transport capacity river</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">1.00E&#x2b;06&#x2013;1.00E&#x2b;08</td>
<td align="center">Medium sediment transport capacity river</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">1.00E&#x2b;08&#x2013;1.00E&#x2b;10</td>
<td align="center">High sediment transport capacity river</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">1.00E&#x2b;10&#x2013;1.00E&#x2b;15</td>
<td align="center">Very high sediment transport capacity river</td>
</tr>
<tr>
<td rowspan="4" align="center">Water quality</td>
<td rowspan="4" align="center">Water types</td>
<td align="center">1</td>
<td align="center">-</td>
<td align="center">Whitewater river</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">-</td>
<td align="center">Blackwater river</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">-</td>
<td align="center">Clearwater river, mountain</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">-</td>
<td align="center">Clearwater river, Amazon forest</td>
</tr>
<tr>
<td rowspan="4" align="center">Physical structure</td>
<td rowspan="4" align="center">Morphological configuration of river and sediment transport type</td>
<td align="center">1</td>
<td align="center">-</td>
<td align="center">Confined, capacity-limited</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">-</td>
<td align="center">Unconfined, capacity-limited</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">-</td>
<td align="center">Confined, supply-limited</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">-</td>
<td align="center">Unconfined, supply-limited</td>
</tr>
<tr>
<td rowspan="4" align="center">Connectivity</td>
<td rowspan="4" align="center">Dendritic connectivity index (dimensionless)</td>
<td align="center">1</td>
<td align="center">0.00&#x2013;0.25</td>
<td align="center">Connected river, long distance</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">0.25&#x2013;0.50</td>
<td align="center">Connected river, medium distance</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">0.50&#x2013;0.75</td>
<td align="center">Connected river, small distance</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">0.75&#x2013;1.00</td>
<td align="center">Connected river, very small distance</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-10">
<title>3.10 Rarity index</title>
<p>We calculated the rarity <inline-formula id="inf63">
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</inline-formula> as (<xref ref-type="bibr" rid="B42">Duarte et al., 2016</xref>):<disp-formula id="equ9">
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</disp-formula>where <inline-formula id="inf65">
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</inline-formula> is the total area of the micro-basins belonging to freshwater group <inline-formula id="inf66">
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</inline-formula> is the total number of freshwater groups. High values indicate a unique habitat in the basin, and low values indicate a common habitat. The Supplementary Material provides additional details for the rarity index calculation.</p>
</sec>
<sec id="s3-11">
<title>3.11 Connectivity index</title>
<p>To calculate the connectivity index, we constructed a directional upstream adjacency matrix (<xref ref-type="bibr" rid="B167">Wohl, 2017</xref>) that includes, for each unit, the degree of connectivity defined by the proximity between micro-basins, measured using the length of the main channel of each micro-basin. As an example, consider that the study area is segmented into five micro-basins, each of which has a river segment with a length of 5&#xa0;km. The directional upstream adjacency matrix for the micro-basins would be represented by <inline-formula id="inf69">
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</sec>
<sec id="s3-12">
<title>3.12 Integrity index</title>
<p>For the Caquet&#xe1; River basin, we developed a global integrity index <inline-formula id="inf74">
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<mml:mfenced open="{" close="}" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ13">
<mml:math id="m95">
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:msub>
<mml:mi>r</mml:mi>
<mml:mi mathvariant="italic">max</mml:mi>
</mml:msub>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:msub>
<mml:mi>r</mml:mi>
<mml:mi mathvariant="italic">min</mml:mi>
</mml:msub>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">max</mml:mi>
<mml:mrow>
<mml:mfenced open="{" close="}" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="italic">min</mml:mi>
<mml:mrow>
<mml:mfenced open="{" close="}" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>In this equation, we normalize each <inline-formula id="inf83">
<mml:math id="m96">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> using a linear scaling method. However, this normalization is performed differentially by range <inline-formula id="inf84">
<mml:math id="m97">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>. The values of <inline-formula id="inf85">
<mml:math id="m98">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:msub>
<mml:mi>r</mml:mi>
<mml:mi mathvariant="italic">min</mml:mi>
</mml:msub>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf86">
<mml:math id="m99">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:msub>
<mml:mi>r</mml:mi>
<mml:mi mathvariant="italic">max</mml:mi>
</mml:msub>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> correspond to the scaling limits used in each range: <inline-formula id="inf87">
<mml:math id="m100">
<mml:mrow>
<mml:mi mathvariant="italic">min</mml:mi>
<mml:mrow>
<mml:mfenced open="{" close="}" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> represents the minimum threshold of <inline-formula id="inf88">
<mml:math id="m101">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> in range <inline-formula id="inf89">
<mml:math id="m102">
<mml:mrow>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf90">
<mml:math id="m103">
<mml:mrow>
<mml:mi mathvariant="italic">max</mml:mi>
<mml:mrow>
<mml:mfenced open="{" close="}" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> reflects the maximum threshold of <inline-formula id="inf91">
<mml:math id="m104">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> in range <inline-formula id="inf92">
<mml:math id="m105">
<mml:mrow>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. In the end, <inline-formula id="inf93">
<mml:math id="m106">
<mml:mrow>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> has values ranging from 0 to 1, where 1 reflects high integrity and 0 reflects low integrity. <xref ref-type="table" rid="T6">Table 6</xref> presents the four ranges considered for the scaling of each <inline-formula id="inf94">
<mml:math id="m107">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Scaling ranges of integrity indexes.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">KEA</th>
<th align="center">Range 1<break/>
<inline-formula id="inf95">
<mml:math id="m108">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:msub>
<mml:mi>r</mml:mi>
<mml:mi mathvariant="italic">min</mml:mi>
</mml:msub>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi mathvariant="italic">&#x3b1;</mml:mi>
<mml:msub>
<mml:mi mathvariant="italic">r</mml:mi>
<mml:mi mathvariant="italic">max</mml:mi>
</mml:msub>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.25</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">Range 2<break/>
<inline-formula id="inf96">
<mml:math id="m109">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="italic">&#x3b1;</mml:mi>
<mml:msub>
<mml:mi mathvariant="italic">r</mml:mi>
<mml:mi mathvariant="italic">min</mml:mi>
</mml:msub>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.25</mml:mn>
<mml:msub>
<mml:mi mathvariant="italic">&#x3b1;</mml:mi>
<mml:msub>
<mml:mi mathvariant="italic">r</mml:mi>
<mml:mi mathvariant="italic">max</mml:mi>
</mml:msub>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.5</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">Range 3<break/>
<inline-formula id="inf97">
<mml:math id="m110">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="italic">&#x3b1;</mml:mi>
<mml:msub>
<mml:mi mathvariant="italic">r</mml:mi>
<mml:mi mathvariant="italic">min</mml:mi>
</mml:msub>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.5</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi mathvariant="italic">&#x3b1;</mml:mi>
<mml:msub>
<mml:mi mathvariant="italic">r</mml:mi>
<mml:mi mathvariant="italic">max</mml:mi>
</mml:msub>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.75</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">Range 3<break/>
<inline-formula id="inf98">
<mml:math id="m111">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="italic">&#x3b1;</mml:mi>
<mml:msub>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="italic">min</mml:mi>
</mml:msub>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.75</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:msub>
<mml:mi mathvariant="italic">r</mml:mi>
<mml:mi mathvariant="italic">max</mml:mi>
</mml:msub>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Hydrological regime</td>
<td align="center">
<inline-formula id="inf99">
<mml:math id="m112">
<mml:mrow>
<mml:mn>0.15</mml:mn>
<mml:mo>&#x3e;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf100">
<mml:math id="m113">
<mml:mrow>
<mml:mn>0.15</mml:mn>
<mml:mo>&#x2265;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0.1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf101">
<mml:math id="m114">
<mml:mrow>
<mml:mn>0.1</mml:mn>
<mml:mo>&#x2265;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0.05</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf102">
<mml:math id="m115">
<mml:mrow>
<mml:mn>0.05</mml:mn>
<mml:mo>&#x2265;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2265;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="center">Sediment transport</td>
<td align="center">
<inline-formula id="inf103">
<mml:math id="m116">
<mml:mrow>
<mml:mn>0.15</mml:mn>
<mml:mo>&#x3e;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf104">
<mml:math id="m117">
<mml:mrow>
<mml:mn>0.15</mml:mn>
<mml:mo>&#x2265;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0.1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf105">
<mml:math id="m118">
<mml:mrow>
<mml:mn>0.1</mml:mn>
<mml:mo>&#x2265;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0.05</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf106">
<mml:math id="m119">
<mml:mrow>
<mml:mn>0.05</mml:mn>
<mml:mo>&#x2265;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2265;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="center">Water quality</td>
<td align="center">
<inline-formula id="inf107">
<mml:math id="m120">
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>Q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>0.5</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf108">
<mml:math id="m121">
<mml:mrow>
<mml:mn>0.5</mml:mn>
<mml:mo>&#x3c;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>Q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>0.7</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf109">
<mml:math id="m122">
<mml:mrow>
<mml:mn>0.7</mml:mn>
<mml:mo>&#x3c;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>Q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>0.9</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf110">
<mml:math id="m123">
<mml:mrow>
<mml:mn>0.9</mml:mn>
<mml:mo>&#x3c;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>Q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="center">Physical structure</td>
<td align="center">
<inline-formula id="inf111">
<mml:math id="m124">
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>0.25</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf112">
<mml:math id="m125">
<mml:mrow>
<mml:mn>0.25</mml:mn>
<mml:mo>&#x3c;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>0.5</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf113">
<mml:math id="m126">
<mml:mrow>
<mml:mn>0.5</mml:mn>
<mml:mo>&#x3c;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>0.75</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf114">
<mml:math id="m127">
<mml:mrow>
<mml:mn>0.75</mml:mn>
<mml:mo>&#x3c;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="center">Connectivity</td>
<td align="center">
<inline-formula id="inf115">
<mml:math id="m128">
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>0.25</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf116">
<mml:math id="m129">
<mml:mrow>
<mml:mn>0.25</mml:mn>
<mml:mo>&#x3c;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>0.5</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf117">
<mml:math id="m130">
<mml:mrow>
<mml:mn>0.5</mml:mn>
<mml:mo>&#x3c;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>0.75</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf118">
<mml:math id="m131">
<mml:mrow>
<mml:mn>0.75</mml:mn>
<mml:mo>&#x3c;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The ranges used correspond to integrity index categories: low integrity <inline-formula id="inf119">
<mml:math id="m132">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>I</mml:mi>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.25</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, medium integrity <inline-formula id="inf120">
<mml:math id="m133">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>0.25</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>I</mml:mi>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.5</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, high integrity <inline-formula id="inf121">
<mml:math id="m134">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>0.5</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>I</mml:mi>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.75</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, and very high integrity <inline-formula id="inf122">
<mml:math id="m135">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>0.75</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>I</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
</sec>
<sec id="s3-13">
<title>3.13 Importance index</title>
<p>We constructed an importance index <inline-formula id="inf123">
<mml:math id="m136">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> that groups <inline-formula id="inf124">
<mml:math id="m137">
<mml:mrow>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> sub-indexes, which are estimated for each conservation value <inline-formula id="inf125">
<mml:math id="m138">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mi>v</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> defined for the basin. This index ranges from 0 to 1, where a value of 1 represents units of high importance.<disp-formula id="equ14">
<mml:math id="m139">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>v</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mi>v</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>For fish, amphibians, reptiles, and waterbirds, we used the normalized values of the rarity-weighted richness index <inline-formula id="inf126">
<mml:math id="m140">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>W</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B166">Williams et al., 1996</xref>; <xref ref-type="bibr" rid="B1">Abell et al., 2011</xref>). This index counts the number of species in a micro-basin and weights each species by the inverse of the number of micro-basins it occupies:<disp-formula id="equ15">
<mml:math id="m141">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>W</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:munderover>
</mml:mstyle>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ16">
<mml:math id="m142">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>W</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>W</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>W</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">max</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>where <inline-formula id="inf127">
<mml:math id="m143">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the number of species in micro-basin <inline-formula id="inf128">
<mml:math id="m144">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf129">
<mml:math id="m145">
<mml:mrow>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the total number of micro-basins occupied by species <inline-formula id="inf130">
<mml:math id="m146">
<mml:mrow>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf131">
<mml:math id="m147">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>W</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the observed value of <italic>RWRI</italic> in micro-basin <inline-formula id="inf132">
<mml:math id="m148">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf133">
<mml:math id="m149">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>W</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">max</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the maximum <inline-formula id="inf134">
<mml:math id="m150">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>W</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> value in the entire study area.</p>
<p>For the remaining conservation values (see <xref ref-type="table" rid="T7">Table 7</xref>) we constructed a sub-index <inline-formula id="inf135">
<mml:math id="m151">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, where <inline-formula id="inf136">
<mml:math id="m152">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>w</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the observed value of conservation value <inline-formula id="inf137">
<mml:math id="m153">
<mml:mrow>
<mml:mi>w</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> in micro-basin <inline-formula id="inf138">
<mml:math id="m154">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf139">
<mml:math id="m155">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">max</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the maximum value of conservation value <inline-formula id="inf140">
<mml:math id="m156">
<mml:mrow>
<mml:mi>w</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> recorded at the micro-basin level in the entire study area:<disp-formula id="equ17">
<mml:math id="m157">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mi>w</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>w</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="italic">max</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Conservation values identified for the Caquet&#xe1; River.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Category</th>
<th align="center">Conservation values</th>
<th align="center">Range</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="4" align="center">Species</td>
<td align="center">Rarity-weighted richness index (fish, amphibians, reptiles, and aquatic birds)</td>
<td align="center">0&#x2013;0.02</td>
</tr>
<tr>
<td align="center">Number of species in danger of extinction</td>
<td align="center">0&#x2013;4</td>
</tr>
<tr>
<td align="center">Presence of migratory corridors</td>
<td align="center">0 or 1</td>
</tr>
<tr>
<td align="center">Number of megafauna species</td>
<td align="center">0&#x2013;21</td>
</tr>
<tr>
<td align="center">Ecosystem services</td>
<td align="center">Distribution of person-days for recreation and tourism</td>
<td align="center">0&#x2013;1</td>
</tr>
<tr>
<td rowspan="3" align="center">Cultural areas</td>
<td align="center">Presence of Indigenous reservations</td>
<td align="center">0 or 1</td>
</tr>
<tr>
<td align="center">Presence of peasant reserves</td>
<td align="center">0 or 1</td>
</tr>
<tr>
<td align="center">Presence of Raizal communities</td>
<td align="center">0 or 1</td>
</tr>
<tr>
<td align="center">Spiritual areas</td>
<td align="center">Presence of sacred and spiritual sites</td>
<td align="center">0 or 1</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>
<xref ref-type="table" rid="T7">Table 7</xref> summarizes the sub-indices for the selected conservation values in the Caquet&#xe1; River basin and presents the numerical ranges for each conservation value. Note that all values are scaled from 0 to 1 using the equation above. The Supplementary Material details the calculation of the conservation values sub-indexes.</p>
</sec>
<sec id="s3-14">
<title>3.14 Representativeness index</title>
<p>The representativeness index <inline-formula id="inf141">
<mml:math id="m158">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> of micro-basin <inline-formula id="inf142">
<mml:math id="m159">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> that belongs to freshwater group <inline-formula id="inf143">
<mml:math id="m160">
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is defined as:<disp-formula id="equ18">
<mml:math id="m161">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>I</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>w</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ19">
<mml:math id="m162">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>I</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>where <inline-formula id="inf144">
<mml:math id="m163">
<mml:mrow>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>w</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the area of micro-basins belonging to freshwater group <inline-formula id="inf145">
<mml:math id="m164">
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and contained within an existing conservation area <inline-formula id="inf146">
<mml:math id="m165">
<mml:mrow>
<mml:mi>w</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf147">
<mml:math id="m166">
<mml:mrow>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the area of all micro-basins belonging to freshwater group <inline-formula id="inf148">
<mml:math id="m167">
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B42">Duarte et al., 2016</xref>). The details of the representativeness index calculation can be reviewed in the Supplementary Material.</p>
</sec>
<sec id="s3-15">
<title>3.15 Complementarity criteria</title>
<p>To ensure complementarity in prioritization, we selected the areas of the natural parks as reported by <xref ref-type="bibr" rid="B111">Parques Nacionales Naturales de Colombia (2020)</xref>. The Caquet&#xe1; River basin currently contains 10 conservation areas representing 21% of the total area of the basin (<xref ref-type="fig" rid="F2">Figure 2</xref>).</p>
</sec>
<sec id="s3-16">
<title>3.16 Definition of conservation opportunities</title>
<p>We used MATLAB Release 2019b to construct the 2D scatterplot of the Caquet&#xe1; River basin to identify conservation opportunities. This platform allowed us to analyze and visualize the data and generate graphical outputs.</p>
</sec>
<sec id="s3-17">
<title>3.17 Prioritization</title>
<p>We solved the optimization problem for the Caquet&#xe1; River basin by using the prioritizr package v8.0.2.1 (<xref ref-type="bibr" rid="B59">Hanson et al., 2023</xref>) to find an accurate, optimal solution in conjunction with Gurobi solver v10.0, which provides solvers based on integer linear programming. This combination of packages is computationally efficient compared with packages such as Marxan, which generates nearly optimal solutions (<xref ref-type="bibr" rid="B15">Beyer et al., 2016</xref>).</p>
</sec>
</sec>
<sec sec-type="results" id="s4">
<title>4 Results</title>
<sec id="s4-1">
<title>4.1 Spatial analysis units</title>
<p>
<xref ref-type="fig" rid="F3">Figure 3</xref> presents the spatial units of analysis obtained for the Caquet&#xe1; River basin. We delineated 30,028 micro-basins and 320 sub-basins for the study area (<xref ref-type="fig" rid="F3">Figure 3A</xref>). Considering the large number of delimited micro-basins, <xref ref-type="fig" rid="F3">Figure 3</xref> shows example distributions of the micro-basins within the sub-basins of the Mamansoya and Peneya Rivers, located in the middle and upper part of the Caquet&#xe1; River basin, respectively (see <xref ref-type="fig" rid="F3">Figure 3B</xref>). Approximately 61% of the defined micro-basins are smaller than 5&#xa0;km<sup>2</sup>, and only 2.4% are larger than 15&#xa0;km<sup>2</sup> (see <xref ref-type="fig" rid="F3">Figure 3C</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Caquet&#xe1; River basin. <bold>(A)</bold> Spatial analysis units defined for the Caquet&#xe1; River basin. <bold>(B)</bold> Distribution of micro-basins in the sub-basins of the Mansoya and Peneya Rivers. <bold>(C)</bold> Size frequencies of micro-basins.</p>
</caption>
<graphic xlink:href="fenvs-11-1264392-g003.tif"/>
</fig>
</sec>
<sec id="s4-2">
<title>4.2 Freshwater groups</title>
<p>We identified 518 freshwater groups with unique ecological characteristics (<xref ref-type="fig" rid="F4">Figure 4</xref>); 28.4% of these are found in large and very large rivers (flow &#x3e;100&#xa0;m<sup>3</sup>/s), and 71.6% are present in medium and small rivers (flow &#x2264;100&#xa0;m<sup>3</sup>/s). Thirty percent of the identified groups are in the mountainous zone, which encompasses 11% of the entire Caquet&#xe1; River basin. We also determined that 70% of the basin is occupied by only 4.2% of the identified freshwater groups.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>
<bold>(A)</bold> Distribution of freshwater groups with unique key ecological attributes in the Caquet&#xe1; River basin. <bold>(B)</bold> Length of rivers for freshwater groups.</p>
</caption>
<graphic xlink:href="fenvs-11-1264392-g004.tif"/>
</fig>
</sec>
<sec id="s4-3">
<title>4.3 Importance index</title>
<p>
<xref ref-type="fig" rid="F5">Figure 5A</xref> provides a spatial representation of the importance index in the Caquet&#xe1; River basin, highlighting that the micro-basins that make up the main waterways were assigned the highest importance values. This is reasonable considering that these tributaries are migratory corridors for approximately 23 species of megafauna, including <italic>S. fluviatilis</italic> (<xref ref-type="bibr" rid="B62">He et al., 2018</xref>; <xref ref-type="bibr" rid="B63">2021</xref>; <xref ref-type="bibr" rid="B21">Caldas et al., 2023</xref>), and other important species, such as <italic>B. rousseauxii</italic> (<xref ref-type="bibr" rid="B31">C&#xf3;rdoba et al., 2013</xref>). Moreover, the basin&#x2019;s structure does not currently contain river network interruptions.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>
<bold>(A)</bold> Importance index. <bold>(B)</bold> Representativeness index. <bold>(C)</bold> Rarity index, and <bold>(D)</bold> Connectivity index.</p>
</caption>
<graphic xlink:href="fenvs-11-1264392-g005.tif"/>
</fig>
<p>High importance was assigned to the middle and lower zones of the Caquet&#xe1; River basin, given the significant concentration of cultural values stemming from the presence of the Murui-Muinane, Yucuna, Andoque, Inga, and Coreguaje peoples (who occupy 43% of the entire basin area). These ethnic groups maintain a profound connection with the territory, as, in accordance with their worldview, they conceive the world as an entity encompassing the spiritual, material, and social dimensions. Consequently, they regard rivers as vital sources for their communities, providing them with sustenance through artisanal fishing and facilitating transportation within and beyond their territories (The Nature Conservancy and The Amazon Conservation Team, 2019). Additionally, areas of high importance were identified in the Andean region due to species abundance and the high provision of ecosystem-cultural services associated with recreation and tourism activities.</p>
</sec>
<sec id="s4-4">
<title>4.4 Representativeness and rarity indexes</title>
<p>We found that 46.7% of the identified freshwater groups in the Caquet&#xe1; River basin are located within the 10 existing protected areas <inline-formula id="inf149">
<mml:math id="m168">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>. Of these areas, the Serran&#xed;a de Chiribiquete National Natural Park stands out as it covers 13.1% of the entire basin area and hosts 23% of all identified groups, equivalent to 49.1% of the represented groups (<xref ref-type="fig" rid="F5">Figure 5B</xref>, brown areas). We also discovered that 4.2% of the identified groups are considered rare (<xref ref-type="fig" rid="F5">Figure 5C</xref>, red areas) because they are uniquely present within the basin. Out of these rare groups, 41% are found within protected areas. The representation levels of the identified groups are as follows: 29.8% have representation below 25%, 26% have representation between 25% and 50%, and 42.2% have representation above 50% (see <xref ref-type="table" rid="T8">Table 8</xref>).</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Frequency distribution of rarity, representativeness, importance, and integrity indexes.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="center">Rarity</th>
<th colspan="2" align="center">Representativeness</th>
<th colspan="2" align="center">Importance</th>
<th colspan="2" align="center">Integrity</th>
</tr>
<tr>
<th align="center">
<inline-formula id="inf150">
<mml:math id="m169">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>R</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">Freshwater groups (%)</th>
<th align="center">
<inline-formula id="inf151">
<mml:math id="m170">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">Freshwater groups (%)</th>
<th align="center">
<inline-formula id="inf152">
<mml:math id="m171">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">Micro-basins (%)</th>
<th align="center">
<inline-formula id="inf153">
<mml:math id="m172">
<mml:mrow>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">Micro-basins (%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">0&#x2013;0.09</td>
<td align="center">1.0%</td>
<td align="center">0&#x2013;0.1</td>
<td align="center">59.1%</td>
<td align="center">0&#x2013;0.1</td>
<td align="center">0.003%</td>
<td align="center">0&#x2013;0.08</td>
<td align="center">10.9%</td>
</tr>
<tr>
<td align="center">0.09&#x2013;0.17</td>
<td align="center">2.9%</td>
<td align="center">0.1&#x2013;0.2</td>
<td align="center">4.8%</td>
<td align="center">0.1&#x2013;0.19</td>
<td align="center">0.03%</td>
<td align="center">0.08&#x2013;0.17</td>
<td align="center">25.9%</td>
</tr>
<tr>
<td align="center">0.17&#x2013;0.26</td>
<td align="center">13.9%</td>
<td align="center">0.2&#x2013;0.3</td>
<td align="center">5.8%</td>
<td align="center">0.19&#x2013;0.29</td>
<td align="center">0.3%</td>
<td align="center">0.17&#x2013;0.25</td>
<td align="center">14.6%</td>
</tr>
<tr>
<td align="center">0.26&#x2013;0.34</td>
<td align="center">26.8%</td>
<td align="center">0.3&#x2013;0.4</td>
<td align="center">4.4%</td>
<td align="center">0.29&#x2013;0.39</td>
<td align="center">0.3%</td>
<td align="center">0.25&#x2013;0.34</td>
<td align="center">15.0%</td>
</tr>
<tr>
<td align="center">0.34&#x2013;0.43</td>
<td align="center">23.4%</td>
<td align="center">0.4&#x2013;0.5</td>
<td align="center">6.4%</td>
<td align="center">0.39&#x2013;0.48</td>
<td align="center">6.3%</td>
<td align="center">0.34&#x2013;0.42</td>
<td align="center">11.3%</td>
</tr>
<tr>
<td align="center">0.43&#x2013;0.51</td>
<td align="center">18.1%</td>
<td align="center">0.5&#x2013;0.6</td>
<td align="center">2.5%</td>
<td align="center">0.48&#x2013;0.58</td>
<td align="center">1.5%</td>
<td align="center">0.42&#x2013;0.5</td>
<td align="center">4.7%</td>
</tr>
<tr>
<td align="center">0.51&#x2013;0.6</td>
<td align="center">9.1%</td>
<td align="center">0.6&#x2013;0.7</td>
<td align="center">3.3%</td>
<td align="center">0.58&#x2013;0.68</td>
<td align="center">11.2%</td>
<td align="center">0.5&#x2013;0.59</td>
<td align="center">5.0%</td>
</tr>
<tr>
<td align="center">0.6&#x2013;0.68</td>
<td align="center">3.1%</td>
<td align="center">0.7&#x2013;0.8</td>
<td align="center">1.9%</td>
<td align="center">0.68&#x2013;0.77</td>
<td align="center">35.9%</td>
<td align="center">0.59&#x2013;0.67</td>
<td align="center">5.4%</td>
</tr>
<tr>
<td align="center">0.68&#x2013;0.77</td>
<td align="center">0.8%</td>
<td align="center">0.8&#x2013;0.9</td>
<td align="center">1.7%</td>
<td align="center">0.77&#x2013;0.87</td>
<td align="center">39.8%</td>
<td align="center">0.67&#x2013;0.76</td>
<td align="center">4.8%</td>
</tr>
<tr>
<td align="center">0.77&#x2013;0.85</td>
<td align="center">1.0%</td>
<td align="center">0.9&#x2013;1</td>
<td align="center">10.0%</td>
<td align="center">0.87&#x2013;0.97</td>
<td align="center">4.8%</td>
<td align="center">0.76&#x2013;0.84</td>
<td align="center">2.5%</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4-5">
<title>4.5 Connectivity index</title>
<p>
<xref ref-type="fig" rid="F5">Figure 5D</xref> illustrates the graphical scheme of the connectivity index for the Caquet&#xe1; River basin as an adjacency matrix. In this matrix, the asymmetry to the left indicates the direction of the connections between the micro-basins, showing the flow of water and interrelationships from the upper areas (upstream) to the lower areas (downstream).</p>
</sec>
<sec id="s4-6">
<title>4.6 Integrity</title>
<p>We found that 5.5% of the micro-basins presented low integrity values, 14.8% showed medium integrity values, 33.7% exhibited a high level of integrity, and 46% had a very high integrity rating (<xref ref-type="fig" rid="F6">Figure 6A</xref>). The lowest integrity values were recorded in the upper part of the Caquet&#xe1; River, especially in the Orteguaza and Cagu&#xe1;n River basins (<xref ref-type="fig" rid="F6">Figure 6A</xref>), which face the highest number of threats to the KEAs. Upon analyzing the integrity in the main channels of these rivers, we observed dispersed behavior with an increasing trend as the accumulated flow increases (<xref ref-type="fig" rid="F6">Figure 6B</xref>), which translates into an increase in integrity downstream. However, in the lower part of the main channel of the Caquet&#xe1; River, integrity values tend to decrease despite remaining high. Of the sub-basins, 1.7% had low integrity, 16.2% had moderate integrity, 33.4% exhibited high integrity, and 48.7% received a very high integrity rating (<xref ref-type="fig" rid="F6">Figure 6C</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>
<bold>(A)</bold> Integrity at the micro-basin level. <bold>(B)</bold> Integrity profile of the Caquet&#xe1;, Orteguaza, and Cagu&#xe1;n Rivers at the micro-basin level, starting from their headwaters. <bold>(C)</bold> Integrity at the sub-basin level; <bold>(D)</bold> 2D scatterplot following <xref ref-type="bibr" rid="B123">Riato et al. (2020)</xref>. <bold>(E)</bold> Conservation opportunities. The black diamond and square denote the presence of invasive alien species.</p>
</caption>
<graphic xlink:href="fenvs-11-1264392-g006.tif"/>
</fig>
</sec>
<sec id="s4-7">
<title>4.7 Conservation opportunities</title>
<p>The 2D scatterplot (<xref ref-type="fig" rid="F6">Figure 6D</xref>) showed that the best opportunity to conserve 77.4% of the basins is through protection actions. This action shows a primarily continuous spatial pattern in the middle and lower zones of the basin, whereas the pattern is more scattered in the upper zone. Restoration presents a better opportunity in 4.7% of the basin, specifically in the upper, piedmont, and upper-middle zones. According to the integrity values, sustainable management should be implemented in 17.9% of the basin. The pattern of this action is primarily continuous and is present in the piedmont and upper-middle zones of the basin (<xref ref-type="fig" rid="F6">Figure 6E</xref>). Furthermore, the results reveal that the established protection areas in the basin present the best opportunity for conservation, which we anticipated.</p>
</sec>
<sec id="s4-8">
<title>4.8 Prioritized portfolio</title>
<p>The spatial distribution of the prioritized portfolio is mainly concentrated in existing protected areas, specifically in the Serran&#xed;a de Chiribiquete National Natural Park (<xref ref-type="fig" rid="F7">Figure 7A</xref>), which is consistent with the selected criteria. The prioritized portfolio shows high connectivity between micro-basins, which generates corridors, as well as between existing protected areas. It is noteworthy that the prioritized portfolio includes the Cagu&#xe1;n River despite its reduced integrity values in some sections. The portfolio managed to represent 96% of the freshwater groups identified in the large and very large river categories and 74% of the freshwater groups identified in medium and small rivers. According to the defined conservation objective, the prioritized portfolio achieves representation of 80.1% of all the freshwater groups identified in the Caquet&#xe1; River basin. We found that 91.9% of the prioritized micro-basins present opportunities for conservation through protection, 3% through restoration, and 5.1% through sustainable management (<xref ref-type="fig" rid="F7">Figure 7B</xref>).</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>
<bold>(A)</bold> Prioritized portfolio for the Caquet&#xe1; River basin and <bold>(B)</bold> conservation opportunities for the prioritized areas. <bold>(C)</bold> Comparison of the prioritized portfolio with the sites identified by <xref ref-type="bibr" rid="B147">Tognelli et al. (2019)</xref> and <bold>(D)</bold> the Essential Life Support Areas in Colombia mapped by <xref ref-type="bibr" rid="B34">Corzo et al. (2021)</xref>.</p>
</caption>
<graphic xlink:href="fenvs-11-1264392-g007.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s5">
<title>5 Discussion</title>
<p>In this study, we present a methodological framework that allows prioritization of freshwater ecosystems (micro-basins) and concurrently identifies the best conservation opportunities. The framework considers six criteria: representativeness, integrity, importance, rarity, complementarity, and connectivity. It is highly flexible in its configuration for each of the mentioned criteria. It has the capability to adapt to the specific characteristics of each region where it is to be applied, including modeling schemes and analytical tools for characterizing key ecological attributes, indexes, conservation values, data provided to establish criteria, and their relative weights.</p>
<p>The proposed framework contributes to improving the conservation strategies of freshwater ecosystems (challenge number 10, according to <xref ref-type="bibr" rid="B104">Olden et al., 2010</xref>). This approach goes beyond conventional SCP paradigms that prioritize areas based solely on unique or multiple species presence (<xref ref-type="bibr" rid="B66">Hermoso et al., 2018</xref>; <xref ref-type="bibr" rid="B147">Tognelli et al., 2019</xref>; <xref ref-type="bibr" rid="B88">Linke and Hermoso, 2022</xref>; <xref ref-type="bibr" rid="B103">Nogueira et al., 2023</xref>). For instance, the framework allows for the incorporation of critical elements for biodiversity maintenance and persistence, such as ecosystem services and cultural values, emerging as crucial factors to ensure effective long-term conservation (<xref ref-type="bibr" rid="B69">Higgins et al., 2021</xref>). The integration of culturally relevant values for communities becomes critically important as it facilitates understanding and acceptance of conservation actions, in addition to enhancing community engagement by ensuring appropriate representation.</p>
<p>As detailed in step 2.17, the prioritization scheme (optimization) was set up so that micro-basins of greater significance (with lower conservation value occurrences) are prioritized first, while those of lesser significance are relegated, regardless of the level of overlap in feature distributions (freshwater groups). This suggests that micro-basins with high ecosystem service provision and a high concentration of cultural values could be prioritized first, even if they have a low biological value. Such an outcome is consistent within our framework since it focuses on freshwater ecosystems and not on a specific species.</p>
<p>Within the framework, it is possible to incorporate a variety of conservation values into the significance criterion. In the specific context of the Caquet&#xe1; river basin, our consideration encompassed recreation and tourism as cultural ecosystem services. However, this importance index has the potential for expansion to include provisioning, supporting, and regulating ecosystem services; or to cover other forms of cultural values beyond the scope of this study. Nonetheless, depending on the quantity, configuration, and weighting given to conservation values, the spatial distribution of prioritized micro-basins may shift. Yet, considering that cultural and social values are related to areas of biological importance, it would be expected that this variation would not be significant, as evidenced by <xref ref-type="bibr" rid="B163">Whitehead et al. (2014)</xref> in terrestrial ecosystems.</p>
<p>Integrating cultural relevant values for communities is essential for enhancing SCP as it facilitates the understanding and acceptance of conservation actions, in addition to bolstering community participation, which in turn increases the likelihood of success of these actions (<xref ref-type="bibr" rid="B52">Geist, 2015</xref>; <xref ref-type="bibr" rid="B33">Corrigan et al., 2018</xref>; <xref ref-type="bibr" rid="B70">Hoffmann, 2022</xref>). Furthermore, incorporating ecosystem services into conservation strategy formulation allows for the design of financial mechanisms grounded in these services (<xref ref-type="bibr" rid="B16">Boulton et al., 2016</xref>), such as recreation and tourism. These approaches motivate communities to conserve freshwater ecosystems. The inclusion of these elements not only aids in devising more effective conservation strategies but also establishes robust funding sources that support the long-term protection of ecosystems.</p>
<p>The integration of connectivity in SCP exercises has been highlighted as a key criterion for the conservation of freshwater ecosystems, given their interconnected nature (<xref ref-type="bibr" rid="B67">Hermoso et al., 2011</xref>). Consequently, it has been increasingly incorporated into SCP frameworks (<xref ref-type="bibr" rid="B88">Linke and Hermoso, 2022</xref>; <xref ref-type="bibr" rid="B103">Nogueira et al., 2023</xref>). In our framework, connectivity is addressed not only as a desirable characteristic in the conservation portfolio but also as an attribute for defining freshwater groups and assessing their integrity. This, in turn, impacts the selection of conservation opportunities and the prioritization process.</p>
<p>Another significant aspect of our framework is that representativeness and rarity are properly directed towards freshwater groups, recognizing that KEAs shape and organize the physical habitat and biotic communities of freshwater ecosystems (<xref ref-type="bibr" rid="B116">Poff et al., 1997</xref>; <xref ref-type="bibr" rid="B26">Castello et al., 2013</xref>; <xref ref-type="bibr" rid="B170">Zeiringer et al., 2018</xref>; <xref ref-type="bibr" rid="B69">Higgins et al., 2021</xref>). Therefore, our approach aims to prioritize micro-basins with differentiated KEAs (freshwater groups) that are not yet represented in a protected area and are unique within the basin. It also takes into account the pressures to which freshwater groups are exposed through the integrity criterion. Although we favor healthy (high-integrity) ecosystems and those with high conservation values, this does not preclude the selection of areas with low integrity as long as the greatest diversity of freshwater ecosystems is guaranteed, according to the proposed goal. In the case of the Caquet&#xe1; River, we achieved a high representation of ecosystems with differentiated KEAs in the prioritized portfolio even though the search margin was limited to less than 11% of the area of the micro-basins in the Caquet&#xe1; basin, considering that 21% of the Caquet&#xe1; basin is currently under protection.</p>
<p>Our prioritized portfolio results (<xref ref-type="fig" rid="F7">Figure 7A</xref>) in the Andean zone of the upper Caquet&#xe1; River, upper Orteguaza River basin, and between the mouth of the Orteguaza River and the Cagu&#xe1;n River, show agreement with the irreplaceable conservation areas identified by <xref ref-type="bibr" rid="B147">Tognelli et al. (2019)</xref> for freshwater fishes in the tropical Andes region of South America, threatened and vulnerable to climate change (<xref ref-type="fig" rid="F7">Figure 7C</xref>). This alignment is attributed to our methodological framework&#x2019;s primary criterion, emphasizing endemic and threatened fish species. However, disparities are noticeable in specific regions, stemming from <xref ref-type="bibr" rid="B147">Tognelli et al. (2019)</xref> utilization of a traditional CPS scheme with Marxan, centered on individual species, while our approach is specifically tailored to freshwater ecosystems. Notably, <xref ref-type="bibr" rid="B147">Tognelli et al. (2019)</xref> did not account for rarity, ecosystem services, and cultural values in their assessments.</p>
<p>Furthermore, <xref ref-type="bibr" rid="B147">Tognelli et al. (2019)</xref> incorporated Marxan&#x2019;s Boundary Length Modifier (BLM) to derive interconnected solutions. However, their methodology did not encompass an evaluation of longitudinal connectivity, leaving room for future extensions in research. Consequently, the solution proposed by <xref ref-type="bibr" rid="B147">Tognelli et al. (2019)</xref> does not delineate areas forming connected basin corridors, which is a significant distinction from our approach.</p>
<p>Our conservation opportunity results (<xref ref-type="fig" rid="F7">Figure 7B</xref>) are very similar to the Essential Life Support Areas (ELSA) mapped by <xref ref-type="bibr" rid="B34">Corzo et al. (2021)</xref> for Colombia following the United Nations Convention on Biological Diversity, Framework Convention on Climate Change, and Sustainable Development Goals (<xref ref-type="fig" rid="F7">Figure 7D</xref>). ELSA identifies regions for conservation, restoration, and sustainable management through land use zoning, leveraging environmental diagnostics and assessments of environmental supply and demand. This methodology involves evaluating anthropogenic pressures affecting the given territory. In our study, we conducted an integrity analysis within our methodological framework, which corresponds to the approach taken by ELSA. However, it is important to note that ELSA incorporates aspects of public policy that are not integrated into our framework, leading to variations in proposed conservation activities across certain regions.</p>
<p>The identification of protected areas has been another focus of SCP analysis (<xref ref-type="bibr" rid="B41">Dorji et al., 2020</xref>; <xref ref-type="bibr" rid="B67">Hermoso et al., 2011</xref>; Linke &#x26; Hermoso). Instead of considering protection as the lone conservation option, our methodology applies the framework of <xref ref-type="bibr" rid="B123">Riato et al. (2020)</xref> and assesses the integrity of KEAs according to their threats to generate micro-basin-level spatial guidance regarding which ecosystems should be conserved using protection, restoration, or sustainable management. In the case of the Caquet&#xe1; River basin, sustainable management and restoration opportunities were identified in sites with land overuse compared with the predominant vocation, e.g., due to productive activities such as livestock and agriculture (<xref ref-type="bibr" rid="B57">Guerrero, 2020</xref>). Protection, on the other hand, prevailed in some areas of the basin lacking strong anthropic pressures.</p>
<p>In certain regions, mercury contamination is a growing threat due to illegal gold mining (<xref ref-type="bibr" rid="B92">Matap&#xed;, 2015</xref>; <xref ref-type="bibr" rid="B78">Instituto Amaz&#xf3;nico de Investigaciones Cient&#xed;ficas, 2022b</xref>), which, in the future, could change the patterns of conservation opportunities for restoration, especially in the Caquet&#xe1; River&#x2019;s main channel. This result is consistent with the findings of <xref ref-type="bibr" rid="B34">Corzo et al. (2021)</xref>, who analyzed 100 geographic layers from 18 different institutions to identify conservation opportunities. Thus, a simple approach, such as that used by <xref ref-type="bibr" rid="B123">Riato et al. (2020)</xref> can i) allow conservation managers to determine specific actions according to each ecosystem&#x2019;s threats and capacity to support such actions (<xref ref-type="bibr" rid="B123">Riato et al., 2020</xref>; <xref ref-type="bibr" rid="B124">2023</xref>) and ii) guide detailed exercises for resource allocation, as in <xref ref-type="bibr" rid="B27">Cattarino et al. (2015)</xref> and <xref ref-type="bibr" rid="B98">Mu et al. (2022)</xref>.</p>
<p>Using an index-based approach, our proposal can link additional criteria to those presented in this research. Moreover, we have identified an opportunity for improvement in our methodology: we can include a KEA that specifically addresses biotic interactions and thus develop an index that adequately captures these processes. This will allow us to broaden the understanding of ecological and biological aspects within our approach, providing a more complete view of freshwater systems and how to conserve them. These interactions are crucial for maintaining natural diversity and ecological processes and understanding the dynamics of the distribution and abundance of freshwater species, especially in the presence of exotic invasive species that pose a threat to aquatic ecosystems (<xref ref-type="bibr" rid="B26">Castello et al., 2013</xref>; <xref ref-type="bibr" rid="B170">Zeiringer et al., 2018</xref>).</p>
<p>A recent study by <xref ref-type="bibr" rid="B103">Nogueira et al. (2023)</xref> demonstrated that relying solely on species presence data may be insufficient to address ecological needs. The presence of two invasive exotic species, <italic>Oncorhynchus mykiss</italic> (rainbow trout) and <italic>Poecilia reticulata</italic> (guppy), has been recorded in the Villalobos and Mocoa Rivers, located in the upper part of the Caquet&#xe1; River basin. These invasive species are found in micro-basins where we identified restoration and protection as the best conservation opportunities (<xref ref-type="fig" rid="F6">Figure 6</xref>). The presence of these species has significant implications for restoration processes, from both ecological and social perspectives. Actions such as eradication and control can involve the community capturing and consuming these species, generating social, economic, and environmental benefits. We, therefore, advise incorporating an index that highlights biotic interactions, thus expanding the specific measures related to these interactions.</p>
<p>There are multiple challenges involved in the implementation of the Convention on Biological Diversity (<xref ref-type="bibr" rid="B29">Chandra and Idrisova, 2011</xref>), especially for the 30 &#xd7; 30 target, including Indigenous issues or the increasing degradation rate of ecosystem services (<xref ref-type="bibr" rid="B29">Chandra and Idrisova, 2011</xref>). According to the analyses conducted by <xref ref-type="bibr" rid="B96">Moreno et al. (2020)</xref>, Indigenous reserves are vulnerable to ecosystem degradation processes. In the case of the Caquet&#xe1; River basin, 43% of the basin&#x2019;s area corresponds to Indigenous reserves (<xref ref-type="bibr" rid="B2">Agencia Nacional de Tierras, 2023</xref>), and our results show that these areas are good candidates for conservation. Promoting environmental governance in Indigenous reserves is fundamental to reducing biodiversity loss in the Amazon (<xref ref-type="bibr" rid="B96">Moreno et al., 2020</xref>). This highlights the importance of our contribution, as our methodology considers Indigenous communities and their cultural values. This step forward will allow for the development and long-term sustainability of conservation strategies, especially in Amazonian basins, such as the Caquet&#xe1; River, where Indigenous communities have an important presence.</p>
</sec>
<sec sec-type="conclusion" id="s6">
<title>6 Conclusion</title>
<p>In this study, we present a methodological scheme of SCP for freshwater ecosystems that simultaneously answers the questions of where and how to conserve. Our framework considers basins as planning units; incorporates integrity from the perspective of the functional characteristics of the ecosystem as a criterion for prioritization and selection of conservation opportunities; assesses the impact of threats to ecosystems; includes species, ecosystem services, and cultural and spiritual values as conservation values; considers existing conservation efforts; and recognizes the unique components and connectivity of freshwater ecosystems.</p>
<p>The proposed framework provides a pertinent technical instrument for optimizing the interventions of conservation organizations and, in turn, assisting Colombia in achieving its 30 &#xd7; 30 target set by the Convention on Biological Diversity. By identifying priority freshwater ecosystems in the Caquet&#xe1; River basin, we offer a tangible foundation upon which future decisive conservation actions in the Colombia can be based. Although our framework suggests an integrative capacity at the national level, it is crucial that subsequent research strengthens and broadens these findings. In summary, the defined methodological framework stands as an essential tool for decision-making regarding conservation, especially when considering ethnocultural territorial contexts.</p>
<p>The research community must continue to generate methodological frameworks in which SCP exercises of freshwater ecosystems incorporate conservation actions into the portfolios. We also encourage researchers to further strengthen our proposed methodological framework by analyzing how KEAs and biotic structure/composition respond to threats while also constructing and incorporating new KEAs, conservation values, and indexes that capture synergistic components at local scales and cumulative impacts at the basin level. In addition, we believe that our framework can be adapted to other geographies and scales of analysis, so we encourage future studies to corroborate this.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s8">
<title>Author contributions</title>
<p>JN: Conceptualization, Data curation, Methodology, Writing&#x2013;original draft, Writing&#x2013;review and editing. CR-P: Conceptualization, Methodology, Writing&#x2013;review and editing. MC: Data curation, Writing&#x2013;review and editing. AV-L: Methodology, Writing&#x2013;review and editing.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This work was supported by the Elevating Impact Fund of The Nature Conservancy.</p>
</sec>
<ack>
<p>The authors would like to extend their thanks to all the researchers who provided constructive comments that improved this paper, especially OPIAC, Paulo Petry, Tomas Walschburger, Juliana Delgado, Jaime Burbano, and the Community-Based Conservation and Integrated Water Resource Management team of The Nature Conservancy, for their contributions to and support of this research.</p>
</ack>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of interest</title>
<p>The 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="disclaimer" id="s11">
<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>
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