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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Ecol. Evol.</journal-id>
<journal-title>Frontiers in Ecology and Evolution</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Ecol. Evol.</abbrev-journal-title>
<issn pub-type="epub">2296-701X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fevo.2024.1387879</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Ecology and Evolution</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Forest structural heterogeneity positively affects bird richness and acoustic diversity in a temperate, central European forest</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Shaw</surname>
<given-names>Taylor</given-names>
</name>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1457756"/>
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<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Scherer-Lorenzen</surname>
<given-names>Michael</given-names>
</name>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1753809"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>M&#xfc;ller</surname>
<given-names>Sandra</given-names>
</name>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1432206"/>
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</contrib-group>
<aff id="aff1">
<institution>Department of Geobotany, Faculty of Biology, University of Freiburg</institution>, <addr-line>Freiburg</addr-line>, <country>Germany</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Susan Fuller, Queensland University of Technology, Australia</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Justin Bastow, Eastern Washington University, United States</p>
<p>Marina D. A. Scarpelli, Commonwealth Scientific and Industrial Research Organisation (CSIRO), Australia</p>
<p>Roberto Benocci, University of Milano-Bicocca, Italy</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Taylor Shaw, <email xlink:href="mailto:t.shaw@jbs.cam.ac.uk">t.shaw@jbs.cam.ac.uk</email>
</p>
</fn>
<fn fn-type="other" id="fn003">
<p>&#x2020;ORCID: Taylor Shaw, <uri xlink:href="https://orcid.org/0000-0003-4117-4552">orcid.org/0000-0003-4117-4552</uri>; Michael Scherer-Lorenzen, <uri xlink:href="https://orcid.org/0000-0001-9566-590X">orcid.org/0000-0001-9566-590X</uri>; Sandra M&#xfc;ller, <uri xlink:href="https://orcid.org/0000-0003-4289-755X">orcid.org/0000-0003-4289-755X</uri>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>20</day>
<month>08</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>12</volume>
<elocation-id>1387879</elocation-id>
<history>
<date date-type="received">
<day>18</day>
<month>02</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>31</day>
<month>07</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Shaw, Scherer-Lorenzen and M&#xfc;ller</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Shaw, Scherer-Lorenzen and M&#xfc;ller</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>
<sec>
<title>Introduction</title>
<p>Forests managed for timber production can also be managed for biodiversity conservation by retaining structures typical of old-growth forests, which provide heterogenous structures for forest-dwelling species, including birds. Ecoacoustic monitoring of forest birds is now a well-studied field, however the extent to which acoustic indices can reflect bird assemblage responses to stands of lower or higher structural heterogeneity is disputed. </p>
</sec>
<sec>
<title>Method</title>
<p>In this study, we acoustically surveyed 75 plots over two years in mature, previously managed forests and computed acoustic indices from the recordings. We first identified an acoustic index that significantly correlated with bird richness over more than one spring season. Next, we tested the response of bird richness to individual forest structural elements using linear regressions. We then repeated this analysis but combined the individual structural elements into one structural composition variable using an NMDS and gam smooth overlay, to compare the effect of individual forest structures versus overall forest heterogeneity on bird richness. We then repeated this analysis using our selected acoustic index, the Normalized Difference Soundscape Index (NDSI), to see if it followed the same patterns as bird richness in response to individual and collective forest structural elements.</p>
</sec>
<sec>
<title>Results</title>
<p>Our results showed that plots with high bird richness were also associated with high NDSI values, and high values of both variables occurred in plots with high structural heterogeneity (tree species richness, tree size variability, and snag height variability) and low amounts of standing and lying deadwood. </p>
</sec>
<sec>
<title>Discussion</title>
<p>Our findings suggest that once an acoustic index can be identified as a robust correlate of bird richness, it can serve as a proxy for the response of birds to differences in forest structural heterogeneity within a managed forest context. It is therefore possible for forest managers interested in conserving or increasing bird richness in their production forests to identify a robust acoustic index to track the response of bird richness to management decisions over time.</p>
</sec>
</abstract>
<kwd-group>
<kwd>acoustic indices</kwd>
<kwd>ecoacoustics</kwd>
<kwd>normalized difference soundscape index</kwd>
<kwd>structural complexity</kwd>
<kwd>forest management</kwd>
</kwd-group>
<contract-sponsor id="cn001">Deutsche Forschungsgemeinschaft<named-content content-type="fundref-id">10.13039/501100001659</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">Albert-Ludwigs-Universit&#xe4;t Freiburg<named-content content-type="fundref-id">10.13039/501100002714</named-content>
</contract-sponsor>
<counts>
<fig-count count="7"/>
<table-count count="3"/>
<equation-count count="0"/>
<ref-count count="126"/>
<page-count count="16"/>
<word-count count="8656"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Population, Community, and Ecosystem Dynamics</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Forest structural heterogeneity is an important consideration for biodiversity conservation in forests managed for timber production (<xref ref-type="bibr" rid="B14">Bauhus et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B58">Gustafsson et&#xa0;al., 2012</xref>). Compared to old-growth forests, managed forests are typically more homogenous in structural elements, with low tree species richness, simplified understory complexity, homogenous tree age and a scarcity of old, large and dead trees (<xref ref-type="bibr" rid="B45">Fedrowitz et&#xa0;al., 2014</xref>). Although exceptions exist where managed forests can be rich in forest structures, across Europe managed forests are trending towards simplification and therefore approaches such as close-to-nature, continuous cover and retention forestry have been developed to promote structural complexity, and therefore biodiversity within managed forests (<xref ref-type="bibr" rid="B47">Franklin et&#xa0;al., 2002</xref>; <xref ref-type="bibr" rid="B23">B&#xfc;rgi, 2015</xref>; <xref ref-type="bibr" rid="B59">Gustafsson et&#xa0;al., 2020</xref>). These approaches aim to provide structural components typically present in forests of late successional stages, such as large habitat trees, standing and lying dead wood, a complex understory and canopy gaps, combinations of which provide a continuity of niches and microhabitats in harvested stands that are important for forest-dwelling species at one or more stages in their life cycles (<xref ref-type="bibr" rid="B16">Blasi et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B86">M&#xfc;ller and B&#xfc;tler, 2010</xref>; <xref ref-type="bibr" rid="B91">Paillet et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B10">Basile et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B109">Sp&#xee;nu et&#xa0;al., 2022</xref>).</p>
<p>In central European forests there is an increasing interest in evaluating how forest management decisions affect forest birds (<xref ref-type="bibr" rid="B111">Storch et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B116">Thorn et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B9">Basile et&#xa0;al., 2021a</xref>), particularly because birds are used as environmental and biodiversity indicators (<xref ref-type="bibr" rid="B55">Gregory et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B35">Devictor et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B56">Gregory et&#xa0;al., 2008</xref>). Forest birds have suffered mild continent-wide decline over the last 40 years (<xref ref-type="bibr" rid="B27">Burns et&#xa0;al., 2021</xref>) and consequently there is an ongoing effort to transition towards silvicultural approaches that benefit birds (e.g. <xref ref-type="bibr" rid="B60">Gutzat and Dormann, 2018</xref>; <xref ref-type="bibr" rid="B123">V&#xed;tkov&#xe1; et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B11">Basile et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B102">Schulze et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B59">Gustafsson et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B9">Basile et&#xa0;al., 2021a</xref>). Links between forest structural elements and forest birds are also well-studied. Many species are sensitive to forestry-induced changes in forest structure and habitat loss (<xref ref-type="bibr" rid="B66">Helle and J&#xe4;rvinen, 1986</xref>; <xref ref-type="bibr" rid="B107">Shimelis et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B119">Versluijs et&#xa0;al., 2017</xref>). Structurally rich residual forest habitats are important refuges for bird diversity (<xref ref-type="bibr" rid="B15">Blake and Karr, 1987</xref>) and bird species richness has been found to increase with high structural diversity typical of mature forests (<xref ref-type="bibr" rid="B78">MacArthur and MacArthur, 1961</xref>; <xref ref-type="bibr" rid="B70">James and Wamer, 1982</xref>; <xref ref-type="bibr" rid="B69">Ishii et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B37">D&#xed;az et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B36">D&#xed;az, 2006</xref>; <xref ref-type="bibr" rid="B76">Kati et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B32">Culbert et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B110">Storch et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B126">Zeller et&#xa0;al., 2023</xref>).</p>
<p>In the last fifteen years, passive acoustic monitoring has been increasingly adopted as a bird monitoring tool, in part due to its ease of use and falling costs of equipment (<xref ref-type="bibr" rid="B112">Sueur et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B113">Sugai et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B5">Alcocer et&#xa0;al., 2022</xref>). This entails the use of automated recorders that do not require an operator to be present to make recordings. Traditional monitoring approaches such as point counts or line transects provide a visual cue for bird identification, but they also are subject to observer bias (<xref ref-type="bibr" rid="B6">Alldredge et&#xa0;al., 2006</xref>) and can cause flushing/avoidance effects through the presence of human observers (<xref ref-type="bibr" rid="B34">Darras et&#xa0;al., 2018</xref>). Automated recorders, on the other hand, can be in the field for much longer than human observers, monitoring multiple sites simultaneously without disturbing birds, producing standardised, permanent datasets across a wider frequency range than what humans can hear (<xref ref-type="bibr" rid="B105">Shaw et&#xa0;al., 2021b</xref>). Despite limitations in estimating abundance from recordings (<xref ref-type="bibr" rid="B93">P&#xe9;rez-Granados and Traba, 2021</xref>), acoustic data has shown to provide valuable bird monitoring data and as such is being increasingly used, particularly for monitoring cryptic species of high conservation value such as capercaillie, which are sensitive to disturbance and otherwise difficult to survey (<xref ref-type="bibr" rid="B2">Abrahams and Denny, 2018</xref>; <xref ref-type="bibr" rid="B1">Abrahams, 2019</xref>).</p>
<p>Acoustic data is also one of a suite of solutions to the demand for more modernised, standardised monitoring data at large spatial scales (<xref ref-type="bibr" rid="B89">Muys et&#xa0;al., 2022</xref>). The processing of acoustic data is becoming more efficient, and therefore more scalable, making it a useful complement to traditional monitoring approaches (<xref ref-type="bibr" rid="B106">Shaw et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B82">Metcalf et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B103">Schwarzkopf et&#xa0;al., 2023</xref>). Efficiencies have been demonstrated through automatic species identification using machine learning (<xref ref-type="bibr" rid="B73">Kahl et&#xa0;al., 2021</xref>) and the computation of ecoacoustic indices, which capture the temporal- and frequency-related dynamics of acoustic energy that has been demonstrated to relate to the dynamics of bird vocal activity patterns (<xref ref-type="bibr" rid="B13">Bateman and Uzal, 2022</xref>). Ecoacoustic indices (hereafter acoustic indices), enable the efficient description of mass quantities of acoustic data that could not be processed manually and do not rely on identifying individual species from recordings. Acoustic indices have been found to correlate with multiple aspects of bird assemblages: they have been positively associated with diversity and abundance of biological sounds (<xref ref-type="bibr" rid="B28">Buxton et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B92">P&#xe9;rez-Granados et&#xa0;al., 2019</xref>), forest island patch size (<xref ref-type="bibr" rid="B88">M&#xfc;ller et&#xa0;al., 2020</xref>), phylogenetic and functional diversity (<xref ref-type="bibr" rid="B52">Gasc et&#xa0;al., 2013</xref>), species composition (<xref ref-type="bibr" rid="B87">M&#xfc;ller et&#xa0;al., 2022</xref>), seasonal phenology (<xref ref-type="bibr" rid="B29">Buxton et&#xa0;al., 2016</xref>) and differences between land-use types (<xref ref-type="bibr" rid="B40">Dr&#xf6;ge et&#xa0;al., 2021</xref>). Although these links have been demonstrated, they are not consistent across all studies; however, a meta-analysis by <xref ref-type="bibr" rid="B5">Alcocer et&#xa0;al. (2022)</xref> demonstrated that three indices, the Acoustic Complexity Index (ACI), Normalized Difference Soundscape Index (NDSI) and Entropy (H), are most robust across studies to significantly reflect biological diversity.</p>
<p>Ecoacoustic studies have not only investigated the relationship between acoustic indices and forest birds, but also forest structure, to better understand how acoustic monitoring can be used to assess habitat quality for birds. For example, the Bioacoustic Index (BIO) has been positively linked to higher canopy cover, canopy height and avian abundance (<xref ref-type="bibr" rid="B19">Boelman et&#xa0;al., 2007</xref>). <xref ref-type="bibr" rid="B88">M&#xfc;ller et&#xa0;al. (2020)</xref> found a positive relationship between ADI, bird richness, and vertical heterogeneity. <xref ref-type="bibr" rid="B104">Shaw et&#xa0;al. (2021a)</xref> reported that BIO and ACI reflected a composite index of forest structural complexity, as well as bird activity and richness. <xref ref-type="bibr" rid="B25">Burivalova et&#xa0;al. (2018</xref>; <xref ref-type="bibr" rid="B24">2019)</xref> found that logging and reductions in forest cover indirectly affect acoustic indices by shaping the vocalising community. Other structural parameters that are known to significantly affect acoustic diversity via bird vocalisations include forest vegetation density and structure (<xref ref-type="bibr" rid="B43">Farina et&#xa0;al., 2015</xref>), stand age, canopy height (<xref ref-type="bibr" rid="B117">Turner et&#xa0;al., 2018</xref>), vegetation diversity (<xref ref-type="bibr" rid="B40">Dr&#xf6;ge et&#xa0;al., 2021</xref>), canopy density, tree density and vegetation height (<xref ref-type="bibr" rid="B13">Bateman and Uzal, 2022</xref>).</p>
<p>As with bird richness, acoustic indices do not consistently reflect forest structural parameters across studies. <xref ref-type="bibr" rid="B41">Eldridge et&#xa0;al. (2018)</xref> reported that acoustic indices reflect bird richness in temperate but not tropical forests. In other cases, links between acoustic indices, birds and forest structure have been weak, negative, or altogether absent (<xref ref-type="bibr" rid="B49">Fuller et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B117">Turner et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B8">Atemasov and Atemasova, 2019</xref>; <xref ref-type="bibr" rid="B39">Doser et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B13">Bateman and Uzal, 2022</xref>). A review of all studies using one index (the Acoustic Complexity Index) published until 2020 showed that it significantly reflected bird diversity in 40% of forest-related studies and was significantly positively associated with at least one structural diversity metric in 78% of studies reported (<xref ref-type="bibr" rid="B13">Bateman and Uzal, 2022</xref>).</p>
<p>These inconsistencies between ecoacoustic studies have been attributed to site-specific differences of soundscapes in study areas, the loss of information when collapsing complex three-dimensional processes (frequency, time and amplitude) into one index, the presence of confounding sounds (e.g. wind, rain, traffic) that distort or mask signals of interest, as well as the lack of replication and methodological standardisation between studies (<xref ref-type="bibr" rid="B100">Ross et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B5">Alcocer et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B13">Bateman and Uzal, 2022</xref>). Across studies, this combination of confounds leads to differences in the strength of relationship between acoustic indices, local bird species richness and forest structural elements. As such, the suitability and sensitivity of acoustic indices to reflect local bird assemblages must first be assessed in each study area before being used as a bird monitoring tool. Thus, our study first sought to identify the best-performing acoustic index for our study area and validated its ability to monitor forest birds over more than one spring season (Step 1). This was done in a beech-spruce dominated mountainous central European forest with a longstanding history of conventional management practices. Next, we investigated if acoustic index values were indirectly related to forest structures via bird vocalisations. We did this by testing the relationship of bird richness to individual forest structures in separate models (Step 2). Next, we also tested the response of bird richness to a composite index of all the forest structures (Step 3), to learn if overall forest heterogeneity explains more variance in our independent variables than individual forest structures, which each alone contribute just one component of forest heterogeneity. Lastly, we repeated Steps 2 and 3 using our selected acoustic index, rather than bird richness, as the independent variable, to assess how well our acoustic index reflects the response of bird richness to individual forest elements (Step 4) and overall forest heterogeneity (Step 5).</p>
<p>This approach would provide insights into how forest managers could use the ecoacoustic approach to monitor the response of birds to the targeted retention of individual structural elements and the promotion of forest heterogeneity more broadly. For forest managers that are interested in adopting new, scalable monitoring techniques, this study presents the ecoacoustic monitoring approach in an applied context. Consistent with existing literature described above, we expected that an increase in bird richness would lead to increased acoustic index values (Step 1), and that bird richness would be positively related to individual and overall forest structural heterogeneity (Steps 2 and 3). Following the confirmation of those prerequisite assumptions, we hypothesised that acoustic index values would be indirectly, positively linked to forest structural heterogeneity (Steps 4 and 5), following similar patterns as the bird richness variable.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Study area</title>
<p>Our study area is located within the southern Black Forest, in the south-west of Germany. The Black Forest is characterised by large elevation gradients (120 &#x2013; 1,493 m) and corresponding variation in mean annual temperature ranging from 4 &#xb0;C to 10.4 &#xb0;C (<xref ref-type="bibr" rid="B53">Gauer and Aldinger, 2005</xref>). It covers about 5,000 km&#xb2;, of which 75% are forested.</p>
<p>The study plots are part of the ConFoBi (Conservation of Forest Biodiversity in Multiple-Use Landscapes of Central Europe) research network, comprised of 135 one-hectare forest plots in a mix of even- and uneven-aged, selectively harvested continuous cover forests (<xref ref-type="bibr" rid="B111">Storch et&#xa0;al., 2020</xref>). These plots were selected to assess relationships between forest biodiversity and the retention of forest structural elements in a managed forest context. Among public state forests, including the study area, a retention program was launched (<xref ref-type="bibr" rid="B46">ForstBW, 2015</xref>) that obliges the retention of approximately 15 habitat trees per 3 ha in state forests. In addition, efforts to support forest biodiversity on private land include contractual nature conservation, advisory services, and subsidies (<xref ref-type="bibr" rid="B111">Storch et&#xa0;al., 2020</xref>).</p>
<p>All plots are in temperate mixed low montane forest dominated by Norway spruce (<italic>Picea abies</italic> (L.) H.Karst.), European beech (<italic>Fagus sylvatica</italic> L.) and silver fir (<italic>Abies alba</italic> MIll). The plots have mostly closed canopies and are comprised of mature stands &gt; 70 yrs. In 2018, a subset of 39 plots were randomly selected for acoustic recording to identify the acoustic index that best represented bird diversity within the study area. In 2019, a larger random subset of plots was selected (n = 80) and the survey was repeated (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). Twenty-nine percent of the surveyed plots overlapped between the recording years (27 out of 92 plots).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Location of the sites surveyed during spring 2018 and 2019 in the southern Black Forest, Germany. White triangles indicate sites surveyed only in 2018 (n=12), black dots indicate sites surveyed only in 2019 (n=53), and grey diamonds indicate sites surveyed over both years (n=27). Plots have a minimum distance of 750 m to another plot.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-12-1387879-g001.tif"/>
</fig>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Forest structure</title>
<p>We selected forest structural variables of known importance to forest bird diversity, and that also were collected in a 2017 live and dead wood tree species inventory (see <xref ref-type="bibr" rid="B111">Storch et&#xa0;al., 2020</xref> for details). Our aim was to test our hypothesis with structural variables that are important to birds and also commonly quantified in national forest inventories, both in Germany (<xref ref-type="bibr" rid="B74">K&#xe4;ndler, 2006</xref>; <xref ref-type="bibr" rid="B98">Reise et&#xa0;al., 2019</xref>) and more widely across Europe (<xref ref-type="bibr" rid="B84">Motta, 2010</xref>; <xref ref-type="bibr" rid="B57">Gschwantner et&#xa0;al., 2016</xref>), to maintain relevancy for forest managers. <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref> describes the final twelve variables selected to collectively describe plot-level forest structural heterogeneity, through diameter at breast height (DBH) and its standard deviation (DBH SD), tree species richness, ratio of coniferous to broadleaved species, tree density via basal area (BA) and number of living trees as well as standing and lying deadwood amount, size, height, and volume. We acknowledge that including a tree height variable would have provided a more complete picture of structural heterogeneity within our plots, but we were unable to do so due to lack of data available for this variable).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Description of the twelve variables used in this study to describe plot-level structural heterogeneity and the scale at which they were computed.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Variable</th>
<th valign="top" align="left">Description</th>
<th valign="top" align="left">Scale</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">No. Trees</td>
<td valign="top" align="left">Total number of trees &gt; 7 cm DBH</td>
<td valign="top" align="left">All trees observed in 1 ha plot</td>
</tr>
<tr>
<td valign="top" align="left">BA</td>
<td valign="top" align="left">Basal area of living trees with DBH &gt; 7 cm</td>
<td valign="top" align="left">Computed from all trees inventoried in 1 ha plot</td>
</tr>
<tr>
<td valign="top" align="left">Conifer share</td>
<td valign="top" align="left">The percentage of trees &gt; 7cm that are coniferous</td>
<td valign="top" align="left">Computed from all trees inventoried in 1 ha plot</td>
</tr>
<tr>
<td valign="top" align="left">DBH Mean</td>
<td valign="top" align="left">Mean DBH of all trees &gt; 7 cm DBH</td>
<td valign="top" align="left">Computed from all trees inventoried in 1 ha plot</td>
</tr>
<tr>
<td valign="top" align="left">DBH SD</td>
<td valign="top" align="left">Standard deviation of the mean DBH of all trees &gt; 7 cm DBH</td>
<td valign="top" align="left">Computed from all trees inventoried in 1 ha plot</td>
</tr>
<tr>
<td valign="top" align="left">Tree Richness</td>
<td valign="top" align="left">Number of tree species &gt; 7cm DBH</td>
<td valign="top" align="left">Computed from all trees inventoried in 1 ha plot</td>
</tr>
<tr>
<td valign="top" align="left">No. Snags</td>
<td valign="top" align="left">Number of standing dead trees &gt; 7 cm DBH</td>
<td valign="top" align="left">Computed from all dead trees observed in 1 ha plot</td>
</tr>
<tr>
<td valign="top" align="left">Snag DBH</td>
<td valign="top" align="left">Mean DBH of all standing dead trees &gt; 7 cm DBH</td>
<td valign="top" align="left">Computed from all dead trees observed in 1 ha plot</td>
</tr>
<tr>
<td valign="top" align="left">Snag DBH SD</td>
<td valign="top" align="left">Standard deviation of mean DBH of all standing dead trees &gt; 7 cm DBH</td>
<td valign="top" align="left">Computed from all dead trees observed in 1 ha plot</td>
</tr>
<tr>
<td valign="top" align="left">Snag Height</td>
<td valign="top" align="left">Mean height of all standing dead trees &gt; 7 cm DBH</td>
<td valign="top" align="left">Computed from all dead trees observed in 1 ha plot</td>
</tr>
<tr>
<td valign="top" align="left">Snag Height SD</td>
<td valign="top" align="left">Standard deviation of mean height of all standing dead trees &gt; 7 cm DBH</td>
<td valign="top" align="left">Computed from all dead trees observed in 1 ha plot</td>
</tr>
<tr>
<td valign="top" align="left">Lying deadwood volume</td>
<td valign="top" align="left">Volume of all lying deadwood observed on plot transect, calculated using the length and width of all observed lying deadwood on plot transect (m<sup>3</sup>)</td>
<td valign="top" align="left">Calculated from v-transect throughout 1 ha plot (see <xref ref-type="bibr" rid="B111">Storch et&#xa0;al., 2020</xref> for details)</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Passive acoustic surveys</title>
<p>Acoustic surveys took place in the spring of 2018 and 2019 using LUNILETTRONIK Soundscape Explorer Terrestrial prototypes (Lunilettronik Cooperativa, Fivizzano, Italy). The recorders were equipped with one external microphone (EMY-63 M/P), with a sensitivity of &#x2212;38 &#xb1; 3 dB and a SNR &gt; 60 dB (EMY-63 M/P, sensitivity (0 dB = 1 V Pa-1. 1 kHz), input voltage of the ADC: 0.75 Vrms (personal communication with Lunilettronik Coop.) Recorders were installed 1.5 m high on trees, with the microphone facing perpendicular to the slope, when slope was present (<xref ref-type="bibr" rid="B105">Shaw et&#xa0;al., 2021b</xref>). Recordings were taken one minute every ten minutes from 4:30 - 9:00, gain of 25 db and a 24 kHz sampling rate. Recordings were saved in 16-bit WAV format on SanDisk 32 GB SD cards.</p>
<p>Recorders were in the field from 18.05.2018 - 10.06.2018 and 12.04.2019 - 04.06.2019 for each campaign. Bad weather days (presence of high wind or rain) were identified and removed from the dataset (5 days in 2018 and 29 days in 2019; details in <xref ref-type="supplementary-material" rid="SM1">
<bold>Appendix 1</bold>
</xref>). Given that sunrise timing shifts over the course of spring, we calculated each recording&#x2019;s time in relation to sunrise. We used the coordinates of each plot centre to generate the exact sunrise time (defined as when the top edge of the sun appears on the horizon) for each plot-day-year using the &#x2018;suncalc&#x2019; package (<xref ref-type="bibr" rid="B115">Thieurmel and Elmarhraoui, 2019</xref>) in R statistical computing environment (<xref ref-type="bibr" rid="B97">R Core Team, 2022</xref>).</p>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Bird richness estimates</title>
<p>A sub-selection of the one-minute acoustic files were manually reviewed by one expert observer to identify all recorded bird vocalisations to species level. To increase the probability of capturing birds whose vocal activity peaks at different points in spring, we selected one day from early-, mid- and late-spring per plot for bioacoustic identification. The campaign in 2018 was shorter than in 2019, spanning 25 compared to 55 days, respectively. Therefore, two days were randomly selected for bioacoustic identification from the 2018 campaign (one day from the first and last week of recording period), corresponding with mid- and late-spring. Three days (one from the first, middle and last week of the recording period) were randomly selected from the 2019 campaign, corresponding to early-, mid- and late-spring.</p>
<p>For each selected day, we sub-selected eight files per day for bioacoustic identification. Using time in relation to sunrise, we selected files to cover pre-dawn (n = 4) and late morning (n = 4) periods. We selected one minute every 20 minutes for the pre-dawn and late morning hours (minutes since sunrise = -60, -40, -20, 0, 160, 180, 200, 220). This selection method increased our probability of detecting the widest range of species across one morning (<xref ref-type="bibr" rid="B106">Shaw et&#xa0;al., 2022</xref>), in addition to species most vocally active at different times throughout spring, due to their migratory (residents, short- and long-distance migrants) or breeding phenology. The total number of files (n = 2,544) resulted in 42.4 hours of identification in the lab. The expert reviewer identified all vocalisations to species level (n = 10,660 observations) with her corresponding certainty (0 - 100%). All identifications under 100% certainty were removed (n = 77), mostly due to vocalisations being too faint or masked by other sounds. The final variable of bird species richness was computed, defined as all the unique bird species identified per plot per spring year.</p>
</sec>
<sec id="s2_5">
<label>2.5</label>
<title>Acoustic indices</title>
<p>We calculated acoustic indices on for each 1-minute audio file and only on good weather days (n = 71,229 data points across both years; identification of good weather days provided in <xref ref-type="supplementary-material" rid="SM1">
<bold>Appendix 1</bold>
</xref>). We selected the full suite of acoustic indices commonly used in ecoacoustic studies and available in the &#x2018;soundecology&#x2019; package (<xref ref-type="bibr" rid="B121">Villanueva-Rivera and Pijanowski, 2018</xref>); these included the Acoustic Complexity Index (<xref ref-type="bibr" rid="B94">Pieretti et&#xa0;al., 2011</xref>), Acoustic Diversity Index (<xref ref-type="bibr" rid="B122">Villanueva-Rivera et&#xa0;al., 2011</xref>), Bioacoustic Index (<xref ref-type="bibr" rid="B19">Boelman et&#xa0;al., 2007</xref>), Evenness Index (<xref ref-type="bibr" rid="B122">Villanueva-Rivera et&#xa0;al., 2011</xref>) and Normalized Difference Soundscape Index (<xref ref-type="bibr" rid="B75">Kasten et&#xa0;al., 2012</xref>). All default settings were used for index computation, except for the ACI, for which we set the minimum frequency at 2 kHz, to automatically filter low-frequency noise that was observed in our files. We then filtered the dataset by retaining index values from recordings within 60 minutes before sunset and 220 minutes after sunset, corresponding with the shift in sunrise and the timeframe from which bioacoustic identifications were made. Lastly, we calculated the mean acoustic index values per plot, to eliminate the temporal autocorrelation in the dataset, as suggested in best practice guidelines for the suite of acoustic indices (<xref ref-type="bibr" rid="B22">Bradfer-Lawrence et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B21">2023</xref>). Our final set of ecoacoustic variables was the mean acoustic index value per plot, per spring year, for the five acoustic indices.</p>
</sec>
<sec id="s2_6">
<label>2.6</label>
<title>Analysis</title>
<p>All analyses were made in R statistical computing environment. Because the strength of the relationship between acoustic indices and bird richness varies across studies (<xref ref-type="bibr" rid="B5">Alcocer et&#xa0;al., 2022</xref>), we first conducted a Pearson&#x2019;s correlation analysis between each acoustic index and bird richness in the 2018 dataset to identify the acoustic index that was most strongly correlated with bird richness in our study area (Step 1), using the &#x2018;stats&#x2019; and &#x2018;corrplot&#x2019; packages (<xref ref-type="bibr" rid="B124">Wei and Simko, 2021</xref>; <xref ref-type="bibr" rid="B97">R Core Team, 2022</xref>). Once that index was identified, we repeated the process on the 2019 dataset, to ensure the index&#x2019;s reliability over a second year of monitoring. Interannual reliability is important because bird assemblages and their activity can vary; in our study area these years were notably different in terms of rainfall and temperature (2018 was a drought year). Only indices that were significantly correlated with bird abundance in both years were selected for further analysis.</p>
<p>Once we identified the most suitable index to reflect bird species richness in our study environment (Step 1), we used the 2019 data for our main investigation of how structural complexity affects bird richness (Step 2-3) and acoustic index values (Steps 4-5). We first aimed to assess which individual structures, if any, were significantly linked to bird richness (Step 2). To test the relative effects of each structural variable separately, we built twelve linear regression models with the &#x2018;stats&#x2019; package and evaluated their relative effects on bird richness using an information-theoretic approach (<xref ref-type="bibr" rid="B26">Burnham and Anderson, 1998</xref>) using the &#x2018;AICcmodavg&#x2019; package (<xref ref-type="bibr" rid="B80">Mazerolle, 2020</xref>). This approach allows for the identification of the &#x2018;best&#x2019; model in the set of candidate models, which has highest predictive value, with the lowest corrected Akaike information criterion (AICc) score (<xref ref-type="bibr" rid="B4">Akaike, 1998</xref>; <xref ref-type="bibr" rid="B26">Burnham and Anderson, 1998</xref>). The Akaike weight (wi) describes what percentage of the time, if this study were repeated many times, a given model would be the optimal model (lowest AICc), given the available data (<xref ref-type="bibr" rid="B51">Garamszegi, 2011</xref>). Model diagnostics were performed with the &#x2018;DHARMa&#x2019; package and model residuals were checked for spatial autocorrelation using the &#x2018;testSpatialAutocorrelation&#x2019; function (<xref ref-type="bibr" rid="B62">Hartig, 2022</xref>). Any models showing significant autocorrelation via the Moran&#x2019;s I test were further investigated (see <xref ref-type="supplementary-material" rid="SM1">
<bold>Appendix 2</bold>
</xref>).</p>
<p>The values of each structural variable were scaled between 0 and 1, to facilitate the comparison of effect size between models. Nine out of twelve variables were log- or square root-transformed, to meet assumptions of normality for linear regressions. Complete structural data was available for 75 of the 80 research plots from 2019; only these data points were used in our models. We assessed spatial autocorrelation in our models using the &#x2018;DHARMa&#x2019; package (<xref ref-type="bibr" rid="B62">Hartig, 2022</xref>), given that the plots were not evenly distributed throughout the study area (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). We conducted a Pearson&#x2019;s correlation using the &#x2018;corrplot and &#x2018;qgraph&#x2019; packages (<xref ref-type="bibr" rid="B42">Epskamp et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B124">Wei and Simko, 2021</xref>) to assess the correlation coefficients of our structural variables, to aid in our interpretation of model results.</p>
<p>Next, we evaluated the combined effect of structural variables on bird richness (Step 3). We conducted a non-metric multidimensional scaling (NMDS) analysis based on Euclidean distance, which can coerce the data into two ordination axes. We then assessed the relationship between the combined structural variables and bird richness by fitting and plotting a generalised additive model (GAM) using a 2D surface smooth of bird richness values onto the ordination plot. This analysis was done with the &#x2018;vegan&#x2019; package (<xref ref-type="bibr" rid="B90">Oksanen et&#xa0;al., 2022</xref>), using the &#x2018;ordisurf&#x2019; command and a Gaussian distribution.</p>
<p>Lastly, we repeated Steps 2 and 3 using the selected acoustic index as the independent variable, in response to individual forest structural elements (Step 4) and overall structural heterogeneity (Step 5), which enabled us to evaluate potential similarities or differences in both dependent variables&#x2019; respective responses to forest structural elements.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Acoustic index selection and validation</title>
<p>Across 39 plots in 2018, bird richness ranged from 10-19. The NDSI showed the highest and only significant correlation to bird richness, with a correlation coefficient of 0.316 and p-value of 0.049 (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). We found non-significant correlation coefficients for ACI, ADI, AEI and BIO, being 0.032, -0.024, 0.060 and 0.267, respectively. The NDSI, therefore, was selected for further analysis with the second year of data (Step 1). Across 80 plots in 2019, bird richness ranged from 4-25, and NDSI values for the same year ranged from -0.02 to 0.82. The significant positive correlation between the NDSI and bird richness held for the 2019 dataset: the correlation coefficient was 0.510, p-value &lt; 0.001, a stronger relationship than the previous year. The first step in this study was to confirm the assumption that our hypothesis is built upon, that bird richness is significantly positively related to acoustic diversity (quantified by a robust acoustic index), which we confirmed with the NDSI.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Pearson correlation plot of five acoustic indices and bird species richness for the 2018 spring season. The size and darkness of each cell represent correlation strength. Orange cells represent a negative correlation, purple cells represent a positive correlation, and darker orange and purple colours indicate stronger negative and positive correlations, respectively. Cells containing an &#x2018;X&#x2019; represent non-significant correlations at the 95% confidence level.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-12-1387879-g002.tif"/>
</fig>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Bird richness and individual forest structures</title>
<p>Next, we sought to identify which individual structures, if any, were significantly linked to bird richness (Step 2). Our information theoretic approach used mean bird richness values per plot as the dependent variable and one structural variable at a time as the independent variable, resulting in twelve models (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). Tree species richness was the best performing model and the only variable that significantly affected bird richness, although variance explained was relatively low (adjusted R<sup>2</sup> = 0.08; <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). We found evidence of spatial autocorrelation (Moran&#x2019;s I test &lt; 0.05) in no models except in the tree richness model, which showed a mild effect (estimate versus expected: -0.07, -0.01, p-value = 0.02). We did not alter this model&#x2019;s structure, however, to enable its comparison with other models in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref> (see <xref ref-type="supplementary-material" rid="SM1">
<bold>Appendix 2</bold>
</xref> for details and justification).</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Summary of candidate bird richness models ranked by lowest AICc value.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="bottom" align="left">Model</th>
<th valign="bottom" align="left">Variable</th>
<th valign="bottom" align="left">Estimate</th>
<th valign="bottom" align="left">Std_Error</th>
<th valign="bottom" align="left">t_value</th>
<th valign="bottom" align="left">p_value</th>
<th valign="bottom" align="left">AICc</th>
<th valign="bottom" align="left">&#x394; AICc</th>
<th valign="bottom" align="left">
<italic>wi</italic>
</th>
<th valign="bottom" align="left">Cum. <italic>wi</italic>
</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="bottom" align="left">
<bold>12</bold>
</td>
<td valign="bottom" align="left">
<bold>Tree Richness</bold>
</td>
<td valign="bottom" align="left">
<bold>6.20</bold>
</td>
<td valign="bottom" align="left">
<bold>2.27</bold>
</td>
<td valign="bottom" align="left">
<bold>2.74</bold>
</td>
<td valign="bottom" align="left">
<bold>0.008</bold>
</td>
<td valign="bottom" align="left">
<bold>420.94</bold>
</td>
<td valign="bottom" align="left">
<bold>0.00</bold>
</td>
<td valign="bottom" align="left">
<bold>0.70</bold>
</td>
<td valign="bottom" align="left">
<bold>0.70</bold>
</td>
</tr>
<tr>
<td valign="bottom" align="left">3</td>
<td valign="bottom" align="left">BA</td>
<td valign="bottom" align="left">-4.17</td>
<td valign="bottom" align="left">2.50</td>
<td valign="bottom" align="left">-1.67</td>
<td valign="bottom" align="left">0.10</td>
<td valign="bottom" align="left">425.47</td>
<td valign="bottom" align="left">4.52</td>
<td valign="bottom" align="left">0.07</td>
<td valign="bottom" align="left">0.77</td>
</tr>
<tr>
<td valign="bottom" align="left">6</td>
<td valign="bottom" align="left">DBH SD</td>
<td valign="bottom" align="left">-2.35</td>
<td valign="bottom" align="left">2.07</td>
<td valign="bottom" align="left">-1.14</td>
<td valign="bottom" align="left">0.26</td>
<td valign="bottom" align="left">426.95</td>
<td valign="bottom" align="left">6.01</td>
<td valign="bottom" align="left">0.03</td>
<td valign="bottom" align="left">0.80</td>
</tr>
<tr>
<td valign="bottom" align="left">4</td>
<td valign="bottom" align="left">Lying Deadwood Volume</td>
<td valign="bottom" align="left">-1.91</td>
<td valign="bottom" align="left">2.00</td>
<td valign="bottom" align="left">-0.95</td>
<td valign="bottom" align="left">0.35</td>
<td valign="bottom" align="left">427.34</td>
<td valign="bottom" align="left">6.40</td>
<td valign="bottom" align="left">0.03</td>
<td valign="bottom" align="left">0.83</td>
</tr>
<tr>
<td valign="bottom" align="left">9</td>
<td valign="bottom" align="left">Snag DBH SD</td>
<td valign="bottom" align="left">-2.20</td>
<td valign="bottom" align="left">2.43</td>
<td valign="bottom" align="left">-0.90</td>
<td valign="bottom" align="left">0.37</td>
<td valign="bottom" align="left">427.43</td>
<td valign="bottom" align="left">6.48</td>
<td valign="bottom" align="left">0.03</td>
<td valign="bottom" align="left">6</td>
</tr>
<tr>
<td valign="bottom" align="left">8</td>
<td valign="bottom" align="left">Snag DBH</td>
<td valign="bottom" align="left">-1.53</td>
<td valign="bottom" align="left">2.24</td>
<td valign="bottom" align="left">-0.69</td>
<td valign="bottom" align="left">0.50</td>
<td valign="bottom" align="left">427.78</td>
<td valign="bottom" align="left">6.84</td>
<td valign="bottom" align="left">0.02</td>
<td valign="bottom" align="left">0.88</td>
</tr>
<tr>
<td valign="bottom" align="left">5</td>
<td valign="bottom" align="left">DBH Mean</td>
<td valign="bottom" align="left">-1.51</td>
<td valign="bottom" align="left">2.27</td>
<td valign="bottom" align="left">-0.67</td>
<td valign="bottom" align="left">0.51</td>
<td valign="bottom" align="left">427.80</td>
<td valign="bottom" align="left">6.86</td>
<td valign="bottom" align="left">0.02</td>
<td valign="bottom" align="left">0.91</td>
</tr>
<tr>
<td valign="bottom" align="left">10</td>
<td valign="bottom" align="left">Snag Height</td>
<td valign="bottom" align="left">-1.78</td>
<td valign="bottom" align="left">3.00</td>
<td valign="bottom" align="left">-0.59</td>
<td valign="bottom" align="left">0.56</td>
<td valign="bottom" align="left">427.90</td>
<td valign="bottom" align="left">6.96</td>
<td valign="bottom" align="left">0.02</td>
<td valign="bottom" align="left">0.93</td>
</tr>
<tr>
<td valign="bottom" align="left">11</td>
<td valign="bottom" align="left">Snag Height SD</td>
<td valign="bottom" align="left">0.87</td>
<td valign="bottom" align="left">2.37</td>
<td valign="bottom" align="left">0.37</td>
<td valign="bottom" align="left">0.71</td>
<td valign="bottom" align="left">428.12</td>
<td valign="bottom" align="left">7.18</td>
<td valign="bottom" align="left">0.02</td>
<td valign="bottom" align="left">0.95</td>
</tr>
<tr>
<td valign="bottom" align="left">7</td>
<td valign="bottom" align="left">No. Snags</td>
<td valign="bottom" align="left">0.25</td>
<td valign="bottom" align="left">2.31</td>
<td valign="bottom" align="left">0.11</td>
<td valign="bottom" align="left">0.92</td>
<td valign="bottom" align="left">428.25</td>
<td valign="bottom" align="left">7.31</td>
<td valign="bottom" align="left">0.02</td>
<td valign="bottom" align="left">0.96</td>
</tr>
<tr>
<td valign="bottom" align="left">2</td>
<td valign="bottom" align="left">No. Trees</td>
<td valign="bottom" align="left">-0.17</td>
<td valign="bottom" align="left">2.21</td>
<td valign="bottom" align="left">-0.08</td>
<td valign="bottom" align="left">0.94</td>
<td valign="bottom" align="left">428.26</td>
<td valign="bottom" align="left">7.31</td>
<td valign="bottom" align="left">0.02</td>
<td valign="bottom" align="left">0.98</td>
</tr>
<tr>
<td valign="bottom" align="left">1</td>
<td valign="bottom" align="left">Conifer Share</td>
<td valign="bottom" align="left">0.09</td>
<td valign="bottom" align="left">1.97</td>
<td valign="bottom" align="left">0.05</td>
<td valign="bottom" align="left">0.96</td>
<td valign="bottom" align="left">428.26</td>
<td valign="bottom" align="left">7.32</td>
<td valign="bottom" align="left">0.02</td>
<td valign="bottom" align="left">1.00</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Each linear model includes bird richness as the dependent variable, and one structural variable at a time (detailed in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>) as the independent variable. Bolded rows are models with significant effects at the 0.05 level. Model summaries are presented in descending ranking order, according to lowest AICc value and highest Akaike weight (wi).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Linear regression of the effect of tree species richness on bird richness, the only individual forest structure model that significantly affected bird richness. Grey band indicates the 95% confidence interval.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-12-1387879-g003.tif"/>
</fig>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Bird richness and forest structural composition</title>
<p>The NMDS of the twelve structural variables (Step 3) successfully converged with a stress value of 0.177, which is considered a satisfactory representation of the plots relative to each other when reduced to two dimensions (<xref ref-type="bibr" rid="B31">Clarke, 1993</xref>). The gam smooth of bird richness values onto the NMDS ordination revealed a significant effect of aggregate structural heterogeneity on bird richness (p-value 0.001, adjusted R<sup>2</sup> 0.20. Highest bird richness values were associated with high tree richness, tree age variability (DBH SD) and snag height variability, all which describe stand-level structural heterogeneity. Moderately high bird richness was observed in plots with larger trees (mean DBH), taller standing dead trees (snag height) and plots that were generally denser (BA). Bird richness was lowest in plots with high conifer share, snag DBH mean and SD and lying deadwood volume (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>).</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Non-metric multidimensional scaling (NMDS) of forest structural elements listed in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>, together which describe aspects of stand structural heterogeneity. The open circles depict the distribution of the 75 research plots in ordination space grouped according to their similarity to one another; each plot&#x2019;s proximity to a forest structure&#x2019;s label (exact location denoted by black lines) indicates its relative value associated with that structure (plots closer to a particular label have higher values of that structural parameter). The colour ramp indicates the general additive model (gam) smooth overlay, modelling the distribution of bird richness values across the plots.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-12-1387879-g004.tif"/>
</fig>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>NDSI and individual forest structures</title>
<p>When we repeated the individual models with the NDSI as the dependent variable (Step 4), the best-performing models were the standard deviation of DBH, standard deviation of snag DBH, snag DBH and lying deadwood volume, in decreasing order (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>), which all showed significant negative effects on the NDSI (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). These models, however, also explained little variance (adjusted R<sup>2</sup> = 0.08, 0.08, 0.06 and 0.04, respectively). No other structural variables significantly affected the NDSI, and we found no evidence of spatial autocorrelation in these models.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Linear regression of the NDSI in response to <bold>(A)</bold> diameter at breast height standard deviation (DBH SD), <bold>(B)</bold> snag DBH, <bold>(C)</bold> lying deadwood volume and <bold>(D)</bold> snag DBH SD. Grey bands indicate the 95% confidence interval.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-12-1387879-g005.tif"/>
</fig>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Summary of candidate NDSI models ranked by lowest AICc value.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Model</th>
<th valign="top" align="left">Variable</th>
<th valign="middle" align="left">Estimate</th>
<th valign="middle" align="left">Std_Error</th>
<th valign="middle" align="left">t_value</th>
<th valign="middle" align="left">p_value</th>
<th valign="top" align="left">AICc</th>
<th valign="top" align="left">&#x394; AICc</th>
<th valign="top" align="left">
<italic>wi</italic>
</th>
<th valign="top" align="left">Cum. <italic>wi</italic>
</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">
<bold>6</bold>
</td>
<td valign="middle" align="left">
<bold>DBH SD</bold>
</td>
<td valign="middle" align="left">
<bold>-0.33</bold>
</td>
<td valign="middle" align="left">
<bold>0.12</bold>
</td>
<td valign="middle" align="left">
<bold>-2.66</bold>
</td>
<td valign="middle" align="left">
<bold>0.009</bold>
</td>
<td valign="top" align="left">
<bold>4.27</bold>
</td>
<td valign="top" align="left">
<bold>0.00</bold>
</td>
<td valign="top" align="left">
<bold>0.36</bold>
</td>
<td valign="top" align="left">
<bold>0.36</bold>
</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>9</bold>
</td>
<td valign="middle" align="left">
<bold>Snag DBH SD</bold>
</td>
<td valign="middle" align="left">
<bold>-0.36</bold>
</td>
<td valign="middle" align="left">
<bold>0.15</bold>
</td>
<td valign="middle" align="left">
<bold>-2.46</bold>
</td>
<td valign="middle" align="left">
<bold>0.016</bold>
</td>
<td valign="top" align="left">
<bold>5.25</bold>
</td>
<td valign="top" align="left">
<bold>0.99</bold>
</td>
<td valign="top" align="left">
<bold>0.22</bold>
</td>
<td valign="top" align="left">
<bold>0.58</bold>
</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>8</bold>
</td>
<td valign="middle" align="left">
<bold>Snag DBH</bold>
</td>
<td valign="middle" align="left">
<bold>-0.31</bold>
</td>
<td valign="middle" align="left">
<bold>0.13</bold>
</td>
<td valign="middle" align="left">
<bold>-2.34</bold>
</td>
<td valign="middle" align="left">
<bold>0.02</bold>
</td>
<td valign="top" align="left">
<bold>5.78</bold>
</td>
<td valign="top" align="left">
<bold>1.51</bold>
</td>
<td valign="top" align="left">
<bold>0.17</bold>
</td>
<td valign="top" align="left">
<bold>0.75</bold>
</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>4</bold>
</td>
<td valign="middle" align="left">
<bold>Lying Deadwood Volume</bold>
</td>
<td valign="middle" align="left">
<bold>-0.25</bold>
</td>
<td valign="middle" align="left">
<bold>0.12</bold>
</td>
<td valign="middle" align="left">
<bold>-2.05</bold>
</td>
<td valign="middle" align="left">
<bold>0.04</bold>
</td>
<td valign="top" align="left">
<bold>7.05</bold>
</td>
<td valign="top" align="left">
<bold>2.78</bold>
</td>
<td valign="top" align="left">
<bold>0.09</bold>
</td>
<td valign="top" align="left">
<bold>0.84</bold>
</td>
</tr>
<tr>
<td valign="top" align="left">12</td>
<td valign="middle" align="left">Tree Richness</td>
<td valign="middle" align="left">0.23</td>
<td valign="middle" align="left">0.15</td>
<td valign="middle" align="left">1.56</td>
<td valign="middle" align="left">0.12</td>
<td valign="top" align="left">8.76</td>
<td valign="top" align="left">4.49</td>
<td valign="top" align="left">0.04</td>
<td valign="top" align="left">0.88</td>
</tr>
<tr>
<td valign="top" align="left">1</td>
<td valign="middle" align="left">Conifer Share</td>
<td valign="middle" align="left">0.18</td>
<td valign="middle" align="left">0.12</td>
<td valign="middle" align="left">1.49</td>
<td valign="middle" align="left">0.14</td>
<td valign="top" align="left">8.98</td>
<td valign="top" align="left">4.72</td>
<td valign="top" align="left">0.03</td>
<td valign="top" align="left">0.92</td>
</tr>
<tr>
<td valign="top" align="left">5</td>
<td valign="middle" align="left">DBH Mean</td>
<td valign="middle" align="left">0.15</td>
<td valign="middle" align="left">.14</td>
<td valign="middle" align="left">1.08</td>
<td valign="middle" align="left">0.29</td>
<td valign="top" align="left">10.04</td>
<td valign="top" align="left">5.78</td>
<td valign="top" align="left">0.02</td>
<td valign="top" align="left">0.94</td>
</tr>
<tr>
<td valign="top" align="left">7</td>
<td valign="middle" align="left">No. Snags</td>
<td valign="middle" align="left">-0.10</td>
<td valign="middle" align="left">0.14</td>
<td valign="middle" align="left">-0.70</td>
<td valign="middle" align="left">0.49</td>
<td valign="top" align="left">10.72</td>
<td valign="top" align="left">6.45</td>
<td valign="top" align="left">0.01</td>
<td valign="top" align="left">0.95</td>
</tr>
<tr>
<td valign="top" align="left">3</td>
<td valign="middle" align="left">BA</td>
<td valign="middle" align="left">0.09</td>
<td valign="middle" align="left">0.16</td>
<td valign="middle" align="left">0.57</td>
<td valign="middle" align="left">0.57</td>
<td valign="top" align="left">10.89</td>
<td valign="top" align="left">6.63</td>
<td valign="top" align="left">0.01</td>
<td valign="top" align="left">0.96</td>
</tr>
<tr>
<td valign="top" align="left">11</td>
<td valign="middle" align="left">Snag Height SD</td>
<td valign="middle" align="left">-0.07</td>
<td valign="middle" align="left">0.15</td>
<td valign="middle" align="left">-0.52</td>
<td valign="middle" align="left">0.61</td>
<td valign="top" align="left">10.95</td>
<td valign="top" align="left">6.68</td>
<td valign="top" align="left">0.01</td>
<td valign="top" align="left">0.98</td>
</tr>
<tr>
<td valign="top" align="left">10</td>
<td valign="middle" align="left">Snag Height</td>
<td valign="middle" align="left">0.06</td>
<td valign="middle" align="left">0.19</td>
<td valign="middle" align="left">0.32</td>
<td valign="middle" align="left">0.75</td>
<td valign="top" align="left">11.12</td>
<td valign="top" align="left">6.85</td>
<td valign="top" align="left">0.01</td>
<td valign="top" align="left">0.99</td>
</tr>
<tr>
<td valign="top" align="left">2</td>
<td valign="middle" align="left">No. Trees</td>
<td valign="middle" align="left">-0.02</td>
<td valign="middle" align="left">0.14</td>
<td valign="middle" align="left">-0.12</td>
<td valign="middle" align="left">0.90</td>
<td valign="top" align="left">11.21</td>
<td valign="top" align="left">6.94</td>
<td valign="top" align="left">0.01</td>
<td valign="top" align="left">1.00</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Each linear model includes the NDSI as the dependent variable, and one structural variable at a time (detailed in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>) as the independent variable. Bolded rows are models with significant effects at the 0.05 level.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Compared to the bird richness models (Step 2), we observed a clear divergence between the structures that significantly affected NDSI values (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>) versus those that affected bird richness (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). Additionally, the valence of the variables differed by dependent variable: the best-performing bird richness model showed a positive effect on bird richness, while the best-performing NDSI models showed a negative effect on NDSI values.</p>
<p>The Pearson correlation analysis between all structural variables described a complex web of correlations (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>), which allowed us to interpret model results between bird richness and the NDSI. Tree species richness, the significant variable positively affecting bird richness, was negatively correlated with DBH SD, the variable with the strongest negative affect on NDSI values. All four variables that negatively affected NDSI values (snag DBH SD, DBH SD, snag DBH and lying deadwood volume) were positively correlated with one another.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Plotted network of the statistically significant correlations, where significance is denoted at the p &lt; 0.05 threshold, between all forest structural variables used in this study. Line thickness and their associated numbers indicate the strength of the correlation; blue lines and red lines indicate positive and negative correlations, respectively.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-12-1387879-g006.tif"/>
</fig>
<p>Average tree size (mean DBH) and number of trees were strongly negatively correlated, which is intuitive, as younger forests tend to be denser. Other notable relationships were between deadwood variables: snag height SD was positively correlated with snag height, snag DBH and DBH SD. Plots with high deadwood volume were negatively correlated with conifer share, meaning that high deadwood volume occurred in plots with more broadleaved trees species, while taller standing deadwood (snag height) was more likely to occur on plots with more conifers.</p>
</sec>
<sec id="s3_5">
<label>3.5</label>
<title>NDSI and forest structural composition</title>
<p>When repeating the NMDS analysis with NDSI (Step 5), we observed a very similar pattern to the bird richness GAM overlay, with high NDSI values significantly associated with the same plots as high bird richness (p-value 0.01, adjusted  R<sup>2</sup> 0.11; <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>). Comparing the bird richness model to the NDSI model (<xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4</bold>
</xref> vs <xref ref-type="fig" rid="f7">
<bold>7</bold>
</xref>), the smooths diverged in two minor ways: plots with higher lying deadwood volume and number of snags had relatively moderate bird richness, while in those plots NDSI values continued a decreasing trend, skewing the otherwise similar shapes of both NMDS plots (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>). Secondly, highest NDSI values were predicted to occur in similar plots as for bird richness, although they were less associated with snag height SD and shifted slightly to the right of the plot, centring instead around plots with high basal area, snag height and mean DBH.</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Non-metric multidimensional scaling (NMDS) of forest structural elements listed in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>, together which describe aspects of stand structural heterogeneity. The open circles depict the distribution of the 75 research plots in ordination space grouped according to their similarity to one another; each plot&#x2019;s proximity to a forest structure&#x2019;s label (exact location denoted by black lines) indicates its relative value associated with that structure (plots closer to a particular label have higher values of that structural parameter). The colour ramp indicates the general additive model (gam) smooth overlay, modelling the distribution of NDSI values across the plots.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-12-1387879-g007.tif"/>
</fig>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>In our study area, we identified the NDSI as the acoustic index that most strongly and significantly correlated with bird richness across two years (Step 1). The median NDSI value was 0.49, with a range from -0.02 to 0.82, indicating that they were derived from recordings comprised primarily of biological, rather than anthropogenic noise, further substantiating the link between observed bird richness and acoustic indices (see full elaboration of this point in <xref ref-type="supplementary-material" rid="SM1">
<bold>Appendix 4</bold>
</xref>). This correlation was stronger in the second year, when data was collected across larger spatial and temporal scales, there was a larger gradient of bird richness and there was no drought.</p>
<p>Among all forest structural variables, tree species richness had a significant positive effect and was the strongest and only variable explaining bird richness (Step 2). When repeating the analysis with the NDSI as the dependent variable (Step 4), variations in NDSI values were significantly yet slightly explained by DBH SD, snag DBH SD, snag DBH and lying deadwood volume, in a negative relationship. These variables were all significantly positively correlated with one another (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>; full correlation matrix can be found in <xref ref-type="supplementary-material" rid="SM1">
<bold>Appendix 3</bold>
</xref>). Tree richness and DBH SD were negatively correlated in our study area, suggesting that bird richness and NDSI follow similar patterns across the surveyed plots, but responded to different individual structures.</p>
<p>We observed a consistent pattern, however, between both bird richness and the NDSI to the overall structural composition of plots (Steps 3 and 5), which was associated primarily with high tree richness, snag height SD, mean DBH and DBH SD. The structural composition models explained slightly more variance than any individual structural model, for both bird richness and NDSI datasets (bird richness adjusted R&#xb2; = 0.21 using the NMDS, compared to 0.08 in best individual model; NDSI adjusted R&#xb2; = 0.11 using the NMDS, compared to 0.08 in best individual model). Our results, therefore, provide supporting evidence that once an acoustic index is a priori identified as a robust correlate for bird richness (in our case, the NDSI), it can reflect the response of bird richness to a forest stand&#x2019;s general structural composition in a managed temperate forest context. However, as acoustic indices and bird richness are only proxies to each other, they do not respond to each individual forest structure in precisely the same way, on which we elaborate below.</p>
<sec id="s4_1">
<label>4.1</label>
<title>Response of birds to structural variables</title>
<p>Confirming our assumption, bird richness showed a significant positive response to tree species richness (linear regression, <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>) and structural heterogeneity generally (NMDS gam smooth, <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>). Tree species richness had the strongest and only significant effect on bird richness in our set of candidate models, consistent with previous findings from other temperate (<xref ref-type="bibr" rid="B48">Fuller, 2000</xref>; <xref ref-type="bibr" rid="B95">Poulsen, 2002</xref>; <xref ref-type="bibr" rid="B61">Hanle et&#xa0;al., 2020</xref>) and boreal European forests (<xref ref-type="bibr" rid="B120">Versluijs et&#xa0;al., 2019</xref>). Other studies have shown that stands with higher tree species richness generally show higher canopy packing due to larger crowns of trees growing in mixed stands than in pure stands (<xref ref-type="bibr" rid="B72">Jucker et&#xa0;al., 2015</xref>), which increases stand structural complexity (<xref ref-type="bibr" rid="B96">Pretzsch, 2014</xref>). Previous research in our study area confirmed that tree richness is significantly positively correlated with understory and shrub layer species richness (data made available by <xref ref-type="bibr" rid="B65">Helbach et&#xa0;al., 2022</xref>). A diversity of vegetation in these lower strata provide a higher diversity of resources and leaf architecture at the stand level. This structural complexity increases opportunities for concealment and nesting on the ground or in shrubs and increase food supply from invertebrates, seeds or fruits, which have been linked to higher bird richness (<xref ref-type="bibr" rid="B99">Robinson and Holmes, 1982</xref>; <xref ref-type="bibr" rid="B68">Holmes and Schultz, 1988</xref>; <xref ref-type="bibr" rid="B125">Whelan, 2001</xref>; <xref ref-type="bibr" rid="B85">Muiruri et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B108">Shutt et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B3">Adams and Matthews, 2019</xref>; <xref ref-type="bibr" rid="B61">Hanle et&#xa0;al., 2020</xref>). Species-specific preferences for tree and shrub species have been observed in birds (<xref ref-type="bibr" rid="B67">Holmes and Robinson, 1981</xref>; <xref ref-type="bibr" rid="B50">Gabbe et&#xa0;al., 2002</xref>), thus it is likely that the increase in diversity of tree species richness and its associated understory plants would result in a greater diversity of birds in our plots (&#x201c;diversity-begets-diversity&#x201d;; <xref ref-type="bibr" rid="B101">San Roman and Wagner, 2021</xref>).</p>
<p>According to the NMDS model, bird richness was predicted to decrease in plots with increasing share of conifers. This is consistent with other research in managed European forests (<xref ref-type="bibr" rid="B33">Czeszczewik et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B77">Kebrle et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B12">Basile et&#xa0;al., 2021b</xref>; <xref ref-type="bibr" rid="B126">Zeller et&#xa0;al., 2023</xref>). Forests with higher percentage of broadleaved species host greater abundances of lepidoptera larvae (<xref ref-type="bibr" rid="B114">Summerville and Crist, 2003</xref>), an important source of protein for birds and their chicks in the breeding season. Indeed, an increase of broadleaved species in an otherwise conifer-dominated landscape&#x2014;as is the case in our study area&#x2014;generally benefits the entire bird assemblage via its provisioning of diversified food sources, most notably defoliating larvae (<xref ref-type="bibr" rid="B118">V&#xe9;lov&#xe1; et&#xa0;al., 2021</xref>). This does not apply to all species, however, such as the goldcrest (<italic>Regulus regulus</italic>), crested tit (<italic>Lophophanes cristatus</italic>) or seedeaters like the Eurasian bullfinch (<italic>Pyrrhula pyrrhula</italic>), whose nesting or food preferences are specialised to conifers (<xref ref-type="bibr" rid="B83">Mikusi&#x144;ski et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B12">Basile et&#xa0;al., 2021b</xref>).</p>
<p>Contrary to our expectations, bird richness did not increase with deadwood variables. Rather, variables representing deadwood amount and variability (lying deadwood volume, number of snags and snag DBH SD) were non-significant as single predictors of bird diversity. These features were also associated with lower bird richness in the NMDS model, likely because plots associated with higher deadwood were different from the plots that otherwise had higher structural heterogeneity (tree species richness, DBH mean and SD, snag height, etc. in <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>) Deadwood is not an essential component for all forest birds, but rather for the guild of primary and secondary cavity nesters, such as woodpeckers, tits, owls, nuthatches and treecreepers (<xref ref-type="bibr" rid="B83">Mikusi&#x144;ski et&#xa0;al., 2018</xref>). In natural forests, high amounts of deadwood are often associated with other structural features contributing to structural heterogeneity (<xref ref-type="bibr" rid="B17">Bobiec, 2002</xref>; <xref ref-type="bibr" rid="B64">Hedwall and Mikusi&#x144;ski, 2015</xref>), but in our study area that has a history of forest management, the plots with high amounts of standing and lying deadwood were not the same plots that have a higher diversity of tree species and age classes, each which provision different microhabitats (<xref ref-type="bibr" rid="B109">Sp&#xee;nu et&#xa0;al., 2022</xref>). In our area, plots with high amounts of deadwood would not necessarily provide a sufficient diversity of additional niches for species from other nesting and foraging guilds to affect the richness of the entire bird assemblage (i.e. bird richness values), but more likely increase abundances of species that are reliant on deadwood.</p>
<p>
<xref ref-type="bibr" rid="B12">Basile et&#xa0;al. (2021b)</xref> found in our study area that local structures were insufficient for predicting bird diversity, and that landscape-scale metrics such as broadleaf cover in the surrounding 5 &#x2013; 25 km&#xb2; and distance between forest patches also partially predict stand-level bird richness. Indeed, patterns of spatial autocorrelation indicate slight landscape-scale patterning in bird richness values, albeit mostly non-statistically significant (<xref ref-type="supplementary-material" rid="SM1">
<bold>Appendix 2</bold>
</xref>). Both of our analytic approaches support this conclusion, that in this region, bird richness cannot be strongly predicted by stand-level structures alone. Additional metrics such as landscape-level variables would better predict bird richness (above 8 or 20% variance explained). Further, the more intensively managed a stand, the more it undergoes habitat simplification, which deprives birds of important resources such as suitable nest sites or food supply. They are then forced to exploit a broader range of environmental conditions, or increase their niche breadth (<xref ref-type="bibr" rid="B79">Mahon et&#xa0;al., 2016</xref>), which has been observed in our study area (<xref ref-type="bibr" rid="B9">Basile et&#xa0;al., 2021a</xref>). The degree to which bird richness will respond to individual forest structures is therefore additionally dependent on the intensity of management that stand is subject to, and the shift in generalist/specialist behaviours of the birds using that habitat (e.g. shifting their foraging or nesting locations, <xref ref-type="bibr" rid="B9">Basile et&#xa0;al., 2021a</xref>). The relationship between bird richness and local forest structures will therefore be modified by the surrounding landscape-level context, including the percentage of broadleaved forested area in an otherwise coniferous landscape (<xref ref-type="bibr" rid="B9">Basile et&#xa0;al., 2021a</xref>), a dearth of unmanaged forest patches (<xref ref-type="bibr" rid="B111">Storch et&#xa0;al., 2020</xref>) and the general homogeneity of the landscape matrix, which in our study area is comprised primarily of even-aged stands of low tree diversity.</p>
<p>Our results suggest, however, that one variable (tree richness) is sufficient to predict bird richness (<xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2</bold>
</xref>, <xref ref-type="fig" rid="f4">
<bold>4</bold>
</xref>). This is a notable finding, as tree richness is a variable that can both be easily measured and altered in a managed forest context to promote bird diversity. Tree species admixtures can also positively influence forest multifunctionality and resilience, as well as other forest-dwelling taxa (<xref ref-type="bibr" rid="B7">Ampoorter et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B81">Messier et&#xa0;al., 2021</xref>). Managing forests for higher tree diversity, and the associated diversity of canopy (<xref ref-type="bibr" rid="B96">Pretzsch, 2014</xref>) and understory structures (<xref ref-type="bibr" rid="B65">Helbach et&#xa0;al., 2022</xref>) that it begets, can improve bird diversity at the local assemblage level. Thus, our results support the recommendation of increasing tree species diversity in managed forests (<xref ref-type="bibr" rid="B81">Messier et&#xa0;al., 2021</xref>) to deliver more biodiversity-oriented forest management outcomes. Indeed, our results also support using tree species richness as a proxy for promoting bird richness, however acoustic index variation also provides within-season and interannual variations in the bird assemblage, which tree species richness cannot.</p>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Response of NDSI to forest structures</title>
<p>As outlined in the introduction, previous soundscape studies have examined the link between acoustic indices and habitat structural heterogeneity, the goal being that from increasing acoustic index values one can infer increasing habitat quality as it pertains to provisioning of habitats for birds. Acoustic indices have successfully distinguished between structural differences in ecosystems, although this is mainly differences between coarse habitat type classifications such as forests, pastures, plantations, or urban to rural gradients (<xref ref-type="bibr" rid="B71">Joo et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B18">Bobryk et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B28">Buxton et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B117">Turner et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B20">Bradfer-Lawrence et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B38">Do Nascimento et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B63">Hayashi et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B40">Dr&#xf6;ge et&#xa0;al., 2021</xref>). There are fewer studies that identified differences in acoustic diversity within the same habitat type, as finer differences are more difficult to capture (<xref ref-type="bibr" rid="B40">Dr&#xf6;ge et&#xa0;al., 2021</xref>). However, <xref ref-type="bibr" rid="B104">Shaw et&#xa0;al. (2021a)</xref> did so in a winter boreal forest, <xref ref-type="bibr" rid="B30">Chen et&#xa0;al. (2021)</xref> in nature reserves in southern China, <xref ref-type="bibr" rid="B8">Atemasov and Atemasova (2019)</xref> in oak forests in Ukraine and <xref ref-type="bibr" rid="B44">Farina and Pieretti (2014)</xref> in a Mediterranean shrubland. Our results support the latter studies that it is possible to distinguish between forests of lower or higher structural complexity within the same habitat classification, which in our case were low montane temperate managed forest stands.</p>
<p>At the assemblage level, we hypothesised that higher structural heterogeneity would provide a greater niche volume for more bird species, and that this richness will be reflected in acoustic index values. However, this is not a strictly linear relationship. Studies have found that bird species that prefer dense vegetation (e.g. blackbirds (<italic>Turdus merula</italic>) (Linnaeus, 1758) or robins (<italic>Erithacus rubecula</italic>)) (Linnaeus, 1758) can disproportionately contribute to the soundscape (<xref ref-type="bibr" rid="B43">Farina et&#xa0;al., 2015</xref>). This may explain why the highest NDSI values on the NMDS plots occur around plots with high basal area (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>), compared to bird richness (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>). Denser plots (high basal area) may thus in some cases yield higher acoustic index values without necessarily supporting higher bird richness, a limitation of this monitoring method.</p>
<p>Moreover, our study was not able to estimate bird abundance, which is also known to affect acoustic index values (<xref ref-type="bibr" rid="B5">Alcocer et&#xa0;al., 2022</xref>) and the NDSI specifically (<xref ref-type="bibr" rid="B20">Bradfer-Lawrence et&#xa0;al., 2020</xref>). Although we could not estimate abundance from our recordings, this explanation is consistent with findings from other work conducted in our study area showing that bird abundance, more than richness, was positively associated with local habitat quality (<xref ref-type="bibr" rid="B10">Basile et&#xa0;al., 2020</xref>, <xref ref-type="bibr" rid="B12">2021b</xref>). Further, point count data collected during the same two-month period confirms an extremely high correlation between bird richness and abundance in this study area (Pearson&#x2019;s correlation = 0.92, p-value = 2.2e-16; data made available by <xref ref-type="bibr" rid="B9">Basile et&#xa0;al., 2021a</xref>).</p>
<p>The NMDS model explained similarly low variance as with single forest structures (adjusted R&#xb2; = 0.11 versus 0.08, 0.08, 0.06 and 0.04), while the variance explained by the bird richness NMDS more than doubled (adjusted R&#xb2; = 0.20 versus 0.08). This suggests that the NDSI is subject to additional influences outside of forest structural heterogeneity and that it is not as sensitive as bird richness to one individual structure, but rather the overall structural heterogeneity within the plots. This is supported by the similar Akaike weights assigned to significant NDSI regressions (<italic>wi</italic> = 0.36, 0.22, 0.17, 0.09), while the <italic>wi</italic> was not as evenly distributed across bird richness models. The NDSI may differ from bird richness because it reflects dynamic components of a bird assemblage that the bird richness metric does not quantify. Species abundance, stage of breeding cycle, territory establishment and defence, predator alarms and chick begging are all conveyed by type, frequency and amplitude of vocalisations (<xref ref-type="bibr" rid="B54">Gil and Llusia, 2020</xref>) and would thus be reflected in NDSI, but not bird richness, values. These unknown species-specific factors highlight the NDSI as not just a proxy for bird richness but also a representation of a wider range of breeding season dynamics that are reflected through bird vocalisations.</p>
<p>Further, the NDSI was designed to measures the ratio of biophony to anthrophony, with biophony defined as any sound above 2 kHz, the typical range of biological sounds, including bird vocalisations. Anthrophony is defined as sounds below 2 kHz, which is the range at which low-frequency sounds from human machinery, such as road and air traffic or agricultural activity often occur (<xref ref-type="bibr" rid="B75">Kasten et&#xa0;al., 2012</xref>). The presence of faint background noise from roads and forestry operations varied per plot, and insofar as birds continue to use those plots despite this background noise, the NDSI would reflect this additional plot feature, while bird richness would not. Limitations, therefore, exist to this method, specifically that there is not a consistent, linear relationship between the NDSI, or any acoustic index, to bird richness; the strength of this relationship between the acoustic index and bird richness can be subject to changing environmental conditions, such as ambient anthropogenic noise. <xref ref-type="supplementary-material" rid="SM1">
<bold>Appendix 4</bold>
</xref> investigates the effect of anthropogenic noise on the dataset, and indeed the plots with high bird richness and NDSI values were the plots with the lowest amount of anthropogenic noise. Our recordings were comprised almost exclusively of biophony (bird vocalisations), so the index&#x2019;s ability to reflect bird richness was not drastically impeded by a preponderance of geophonic (<xref ref-type="supplementary-material" rid="SM1">
<bold>Appendix 1</bold>
</xref>) or anthropogenic (<xref ref-type="supplementary-material" rid="SM1">
<bold>Appendix 4</bold>
</xref>) noise, but rather occurring where there was a lack of it. There was greater structural heterogeneity where there was also less anthropogenic noise in our study area, the relative effects of which we cannot disentangle, but nonetheless which the NDSI values accurately reflect. Other study areas containing more anthropogenic sound sources, or anthropogenic noise near higher structurally heterogenous forest stands, might observe different results with this particular index. Overall, in our study area, the NDSI, successfully reflected not just bird richness (through positive significant correlations over two years), but also the response of birds to forest structural heterogeneity (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>).</p>
</sec>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusion</title>
<p>Our study is embedded within a larger research programme that, to our knowledge, is the first to investigate how the retention of forest structures affects forest biodiversity in uneven-aged and selectively harvested continuous-cover European temperate forests. Our NDMS results suggest that overall structural heterogeneity positively affects bird species richness, which was also reflected in our selected acoustic index, the NDSI. This is one of the few studies demonstrating an acoustic index&#x2019;s ability to distinguish between fine structural differences within forest stands of the same habitat classification. It is therefore possible for forest managers interested in conserving or increasing bird richness in their production forests to identify a robust acoustic index to track the response of bird richness to management decisions over time. Future research should address temporal robustness; our study was limited to two years; thus, it would be useful to understand correlation variations between bird richness and well-performing acoustic indices over longer timeframes. More generally, future research should also focus on the continual reporting of ecoacoustic studies in forest habitats that test a suite of acoustic indices and their relationships to commonly inventoried forest structures. With this, meta-analyses can in future identify which acoustic indices are repeatedly found to be temporally robust at the site level, and assess how spatially generalisable these links are, to better understand the scalable utility of this approach and its application for biodiversity-oriented forest management.</p>
</sec>
</body>
<back>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The manuscript presents research on animals that do not require ethical approval for their study.</p>
</sec>
<sec id="s8" sec-type="author-contributions">
<title>Author contributions</title>
<p>TS: Conceptualization, Data curation, Formal analysis, Funding acquisition, Investigation, Methodology, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. MS-L: Funding acquisition, Resources, Supervision, Writing &#x2013; review &amp; editing. SM: Conceptualization, Investigation, Resources, Supervision, Writing &#x2013; review &amp; editing.</p>
</sec>
<sec id="s9" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This study was part of the Research Training Group ConFoBi (GRK 2123/2), which is funded by the German Research Foundation (DFG). This work was also funded by State Graduate Funding of Baden-W&#xfc;rttemberg, through the University of Freiburg&#x2019;s International Graduate Academy (IGA), with a grant to TS. SM receives financial support via the Akwamo project (2221NR050C): &#x201c;Feasibility study - integration of (bio)acoustic methods for quantifying biological diversity in forest monitoring&#x201d;, which is supported on the basis of a resolution of the German Bundestag with funds of the Federal Ministry of Food and Agriculture (BMEL) via the Agency of Renewable Resources (FNR) as project management agency of the BMEL for the funding program Renewable resources. SM&#x2019;s contribution further benefitted from the support of the Centre de Synth&#xe8;se et d&#x2019;Analyse sur la Biodiversit&#xe9; (CESAB) at the Fondation pour la Recherche sur la Biodiversit&#xe9; and the inspirational discussions among the Acoucene consortium.</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>We are grateful to Forst Baden-W&#xfc;rttemberg (ForstBW) for enabling and facilitating fieldwork. We thank Sina Sch&#xf6;namsgruber for her bioacoustic identifications, J&#xf6;rg Memmert and Stephanie Pietsch for their assistance with recorder installation and retrieval, and Johannes Penner for his support early in this project.</p>
</ack>
<sec id="s10" sec-type="COI-statement">
<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 id="s11" sec-type="disclaimer">
<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>
<sec id="s12" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fevo.2024.1387879/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fevo.2024.1387879/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Datasheet1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
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