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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">KOEDOE</journal-id>
<journal-title-group>
<journal-title>KOEDOE - African Protected Area Conservation and Science</journal-title>
</journal-title-group>
<issn pub-type="ppub">0075-6458</issn>
<issn pub-type="epub">2071-0771</issn>
<publisher>
<publisher-name>AOSIS</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">KOEDOE-59-1326</article-id>
<article-id pub-id-type="doi">10.4102/koedoe.v59i1.1326</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Elephants respond to resource trade-offs in an aseasonal system through daily and annual variability in resource selection</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Fullman</surname>
<given-names>Timothy J.</given-names>
</name>
<xref ref-type="aff" rid="AF0001">1</xref>
</contrib>
<contrib contrib-type="author">
<contrib-id contrib-id-type="orcid">http://orcid.org/0000-0001-6215-0686</contrib-id>
<name>
<surname>Kiker</surname>
<given-names>Gregory A.</given-names>
</name>
<xref ref-type="aff" rid="AF0002">2</xref>
<xref ref-type="aff" rid="AF0003">3</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Gaylard</surname>
<given-names>Angela</given-names>
</name>
<xref ref-type="aff" rid="AF0004">4</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Southworth</surname>
<given-names>Jane</given-names>
</name>
<xref ref-type="aff" rid="AF0001">1</xref>
</contrib>
<contrib contrib-type="author">
<contrib-id contrib-id-type="orcid">http://orcid.org/0000-0001-8780-7082</contrib-id>
<name>
<surname>Waylen</surname>
<given-names>Peter</given-names>
</name>
<xref ref-type="aff" rid="AF0001">1</xref>
</contrib>
<contrib contrib-type="author">
<contrib-id contrib-id-type="orcid">http://orcid.org/0000-0003-2702-5200</contrib-id>
<name>
<surname>Kerley</surname>
<given-names>Graham I.H.</given-names>
</name>
<xref ref-type="aff" rid="AF0005">5</xref>
</contrib>
<aff id="AF0001"><label>1</label>Department of Geography, University of Florida, United States</aff>
<aff id="AF0002"><label>2</label>Department of Agricultural and Biological Engineering, University of Florida, United States</aff>
<aff id="AF0003"><label>3</label>School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, South Africa</aff>
<aff id="AF0004"><label>4</label>Conservation Services, South African National Parks, Garden Route Regional Office, South Africa</aff>
<aff id="AF0005"><label>5</label>Department of Zoology, Nelson Mandela Metropolitan University, South Africa</aff>
</contrib-group>
<author-notes>
<corresp id="cor1"><bold>Corresponding author:</bold> Timothy Fullman, <email xlink:href="fullman.tim@gmail.com">fullman.tim@gmail.com</email></corresp>
</author-notes>
<pub-date pub-type="epub"><day>28</day><month>03</month><year>2017</year></pub-date>
<pub-date pub-type="collection"><year>2017</year></pub-date>
<volume>59</volume>
<issue>1</issue>
<elocation-id>1326</elocation-id>
<history>
<date date-type="received"><day>10</day><month>06</month><year>2015</year></date>
<date date-type="accepted"><day>15</day><month>11</month><year>2016</year></date>
</history>
<permissions>
<copyright-statement>&#x00A9; 2017. The Authors</copyright-statement>
<copyright-year>2017</copyright-year>
<license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/2.0/">
<license-p>Licensee: AOSIS. This work is licensed under the Creative Commons Attribution License.</license-p>
</license>
</permissions>
<abstract>
<p>Animals and humans regularly make trade-offs between competing objectives. In Addo Elephant National Park (AENP), elephants (<italic>Loxodonta africana</italic>) trade off selection of resources, while managers balance tourist desires with conservation of elephants and rare plants. Elephant resource selection has been examined in seasonal savannas, but is understudied in aseasonal systems like AENP. Understanding elephant selection may suggest ways to minimise management trade-offs. We evaluated how elephants select vegetation productivity, distance to water, slope and terrain ruggedness across time in AENP and used this information to suggest management strategies that balance the needs of tourists and biodiversity. Resource selection functions with time-interacted covariates were developed for female elephants, using three data sets of daily movement to capture circadian and annual patterns of resource use. Results were predicted in areas of AENP currently unavailable to elephants to explore potential effects of future elephant access. Elephants displayed dynamic resource selection at daily and annual scales to meet competing requirements for resources. In summer, selection patterns generally conformed to those seen in savannas, but these relationships became weaker or reversed in winter. At daily scales, resource selection in the morning differed from that of midday and afternoon, likely reflecting trade-offs between acquiring sufficient forage and water. Dynamic selection strategies exist even in an aseasonal system, with both daily and annual patterns. This reinforces the importance of considering changing resource availability and trade-offs in studies of animal selection.</p>
<p><bold>Conservation implications:</bold> Guiding tourism based on knowledge of elephant habitat selection may improve viewing success without requiring increased elephant numbers. If AENP managers expand elephant habitat to reduce density, our model predicts where elephant use may concentrate and where botanical reserves may be needed to protect rare plants from elephant impacts.</p>
</abstract>
</article-meta>
</front>
<body>
<sec id="s0001">
<title>Introduction</title>
<p>Conservation often involves trade-offs between competing goals and objectives. While trade-offs between biodiversity conservation and human needs have been emphasised (e.g. Hirsch et al. <xref ref-type="bibr" rid="CIT0030">2011</xref>; McShane et al. <xref ref-type="bibr" rid="CIT0052">2011</xref>), it is also important to take into account trade-offs between conserving different aspects of biodiversity. In Addo Elephant National Park (AENP), South Africa, managers seek to balance the local conservation of African elephants (<italic>Loxodonta africana</italic>) and the ecological processes they provide with protecting rare plants and providing for tourism.</p>
<p>The park was founded in 1931 to protect the remnant population of elephants in the Eastern Cape Province following depletion by hunting (Hall-Martin <xref ref-type="bibr" rid="CIT0028">1980</xref>). Fences were erected in 1954 to prevent conflict with farmers, and the population rapidly grew to its current level of over 500 elephants (Hall-Martin <xref ref-type="bibr" rid="CIT0028">1980</xref>; SANParks <xref ref-type="bibr" rid="CIT0069">2011</xref>). Although elephants comprise around 80&#x0025; of the herbivore biomass in AENP (Landman et al. <xref ref-type="bibr" rid="CIT0041">2012</xref>), the park is also home to 19 other large mammal species (SANParks <xref ref-type="bibr" rid="CIT0068">2008</xref>). This diversity of species attracts national and international tourists, with over 90&#x0025; of tourists rating wildlife viewing as a &#x2018;very important&#x2019; motivation for visiting (Boshoff et al. <xref ref-type="bibr" rid="CIT0004">2007</xref>). Demand by tourists for wildlife viewing opportunities sometimes leads to stocking high densities of tourist-favoured species, such as elephants. Such actions, however, may fail to meet tourism objectives and may conflict with the South African National Parks (SANParks) mandate to preserve diverse, healthy ecosystems (Maciejewski &#x0026; Kerley <xref ref-type="bibr" rid="CIT0046">2014</xref>). This mismatch is especially crucial in AENP, which contains a wide variety of rare and important plant species in addition to animals (Lombard et al. <xref ref-type="bibr" rid="CIT0045">2001</xref>). The park contains portions of five of the nine South African biomes, comprising 43 different vegetation units (SANParks <xref ref-type="bibr" rid="CIT0068">2008</xref>). Concerns about disturbance of vegetation by elephants have been raised by several studies that documented loss of plant biodiversity and biomass (Kerley &#x0026; Landman <xref ref-type="bibr" rid="CIT0037">2006</xref>; Landman, Kerley &#x0026; Schoeman <xref ref-type="bibr" rid="CIT0040">2008</xref>; Lombard et al. <xref ref-type="bibr" rid="CIT0045">2001</xref>). A better understanding of the factors influencing elephant movement is needed to inform conservation decisions by park managers regarding wildlife, rare plants and tourism (Ferreira et al. <xref ref-type="bibr" rid="CIT0021">2011</xref>). Such information can be used to identify where high elephant use coincides with rare plant hotspots, suggesting locations for enclosure with fences to protect rare plants from elephants and other herbivores. It can also help guide tourist viewing to maintain a balance between ecological health and visitor satisfaction. Currently elephants are fenced into three discrete sections of AENP, occupying about 60 000 ha of the total 160 000 ha area of the park (Ferreira et al. <xref ref-type="bibr" rid="CIT0021">2011</xref>). Understanding how elephants use resources in the currently accessible areas of AENP will clarify possible effects of future expansion of access to other areas of the park.</p>
<p>We investigate elephant resource selection through satellite imagery and movement data to evaluate how elephant space use responds to vegetation productivity (greenness), artificial water points, slope and terrain ruggedness across space and time in AENP. While numerous studies consider the influence of vegetation, water and other factors on elephant movement and distribution (e.g. Chamaill&#x00E9;-Jammes et al. <xref ref-type="bibr" rid="CIT0010">2013</xref>; Loarie, Van Aarde &#x0026; Pimm <xref ref-type="bibr" rid="CIT0044">2009b</xref>; Marshal et al. <xref ref-type="bibr" rid="CIT0049">2011</xref>; Roever, Van Aarde &#x0026; Leggett <xref ref-type="bibr" rid="CIT0066">2012</xref>), they are generally conducted in savanna systems, featuring distinct wet and dry seasons, with differing factors influencing elephant habitat selection in each season (Loarie et al. <xref ref-type="bibr" rid="CIT0044">2009b</xref>; Roever et al. <xref ref-type="bibr" rid="CIT0066">2012</xref>). AENP, on the contrary, exhibits no strong seasonal rainfall pattern (Ferreira et al. <xref ref-type="bibr" rid="CIT0021">2011</xref>; Gough &#x0026; Kerley <xref ref-type="bibr" rid="CIT0026">2006</xref>) and features evergreen succulent thicket in the main elephant areas (Landman et al. <xref ref-type="bibr" rid="CIT0040">2008</xref>), rather than the savanna vegetation of trees and grasses typical of elephant populations elsewhere. It is unclear how elephant resource use in aseasonal thicket will differ from resource use in savanna systems.</p>
<p>As a set of non-exclusive hypotheses, we predict that elephant resource selection in the aseasonal thicket of AENP will correspond to that observed in savanna environments. While selection patterns may well differ in an aseasonal thicket ecosystem, these hypotheses provide a basis for comparison. Elephants must consume great quantities of forage to sustain their large body size and high absolute metabolic requirements (Hopcraft, Olff &#x0026; Sinclair <xref ref-type="bibr" rid="CIT0031">2010</xref>). Positive selection for green vegetation has been indicated in several studies of elephant habitat use (Loarie et al. <xref ref-type="bibr" rid="CIT0044">2009b</xref>; Pittiglio et al. <xref ref-type="bibr" rid="CIT0063">2012</xref>; Wall et al. <xref ref-type="bibr" rid="CIT0083">2013</xref>; but see Boettiger et al. <xref ref-type="bibr" rid="CIT0003">2011</xref>). Elephants are water-dependent herbivores and typically require access to drinking water every day or two (Chamaill&#x00E9;-Jammes et al. <xref ref-type="bibr" rid="CIT0010">2013</xref>; Owen-Smith et al. <xref ref-type="bibr" rid="CIT0058">2006</xref>). Water availability alters elephant movement and distribution patterns (Chamaill&#x00E9;-Jammes, Valeix &#x0026; Fritz <xref ref-type="bibr" rid="CIT0011">2007</xref>; Loarie, Van Aarde &#x0026; Pimm <xref ref-type="bibr" rid="CIT0043">2009a</xref>; Shannon et al. <xref ref-type="bibr" rid="CIT0072">2009</xref>; Smit, Grant &#x0026; Whyte <xref ref-type="bibr" rid="CIT0075">2007a</xref>), with elephants typically selecting for areas near water. Steep slopes require high energy expenditures from elephants because of their large body size, and thus tend to be avoided (Roever et al. <xref ref-type="bibr" rid="CIT0066">2012</xref>; Wall, Douglas-Hamilton &#x0026; Vollrath <xref ref-type="bibr" rid="CIT0082">2006</xref>). Rugged terrain is preferentially used by elephants because of the presence of greater nutrient concentrations and forage density compared with less rugged areas (Nellemann, Moe &#x0026; Rutina <xref ref-type="bibr" rid="CIT0054">2002</xref>). In summary, if elephants in aseasonal AENP follow the patterns exhibited by elephants in seasonal systems, we expect them to show (1) a positive association with vegetation greenness, (2) a negative association with distance to water, (3) a negative association with steeper slopes and (4) a positive association with more rugged terrain.</p>
<p>We use step selection functions (Forester, Im &#x0026; Rathouz <xref ref-type="bibr" rid="CIT0023">2009</xref>; Fortin et al. <xref ref-type="bibr" rid="CIT0024">2005</xref>) to evaluate the hypotheses identified above, measuring elephant resource selection at a daily scale in AENP. Environmental covariates are interacted with functions of time to investigate annual variability in selection patterns, while three data sets of daily movement steps recorded in the morning (06:00), midday (12:00) and afternoon (16:00) are analysed to reflect circadian patterns of resource selection. We use the results of these analyses to suggest implications for management that balance the needs of elephants, the demands of tourists and the potential of future elephant expansion to other areas of AENP.</p>
</sec>
<sec id="s0002">
<title>Research method and design</title>
<sec id="s20003">
<title>Study area</title>
<p>AENP lies along the southern coast of South Africa (<xref ref-type="fig" rid="F0001">Figure 1</xref>) and features an aseasonal climate (<xref ref-type="fig" rid="F0006">Figure 1-A1</xref>), with about 400 mm &#x2013; 450 mm of year-round rainfall (Gough &#x0026; Kerley <xref ref-type="bibr" rid="CIT0026">2006</xref>; Lombard et al. <xref ref-type="bibr" rid="CIT0045">2001</xref>). There are no permanent natural water sources in the Main Camp and Colchester sections of the park (SANParks <xref ref-type="bibr" rid="CIT0068">2008</xref>), aside from a single brackish spring in Colchester. Instead, water is provided through artificial water points fed by pumped groundwater (Landman et al. <xref ref-type="bibr" rid="CIT0041">2012</xref>).</p>
<fig id="F0001">
<label>FIGURE 1</label>
<caption><p>(a) Addo Elephant National Park exists in an aseasonal climatic system on the South African coast. (b) The elephant-accessible areas evaluated in this study lie at the heart of the larger Addo Elephant National Park. (c) Primary elephant-accessible areas of Addo Elephant National Park. The fence separating Main Camp and Colchester was dropped in August 2010, making both sections available to elephants. The Nyathi section remained isolated by fences from Main Camp for the duration of the study. Botanical reserves and other fenced areas are inaccessible to elephants. A smaller population of elephants occupies the Kuzuko section of Addo Elephant National Park (not pictured) and is not included in this study.</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="KOEDOE-59-1326-g001.tif"/>
</fig>
<p>For most of AENP&#x2019;s history, elephants were confined primarily within the Main Camp section of the park (<xref ref-type="fig" rid="F0001">Figure 1c</xref>). As the elephant population grew, this section was enlarged, increasing from 22.7 km<sup>2</sup> at the time of fencing to 120.0 km<sup>2</sup> in 2008 (Gough &#x0026; Kerley <xref ref-type="bibr" rid="CIT0026">2006</xref>; Hall-Martin <xref ref-type="bibr" rid="CIT0028">1980</xref>; Landman et al. <xref ref-type="bibr" rid="CIT0041">2012</xref>). Several areas within the elephant-accessible portion of the park were fenced off as botanical reserves to protect vulnerable plants from elephants and other herbivores (<xref ref-type="fig" rid="F0001">Figure 1c</xref>; Lombard et al. <xref ref-type="bibr" rid="CIT0045">2001</xref>). In August 2010, the fence separating the Main Camp and Colchester sections of AENP (<xref ref-type="fig" rid="F0001">Figure 1c</xref>) was removed, providing elephants with access to both areas. At the time of this study, most of the elephants in the park occupied the Main Camp/Colchester section, with a smaller population separated by a fence in the Nyathi section (<xref ref-type="fig" rid="F0001">Figure 1c</xref>; SANParks <xref ref-type="bibr" rid="CIT0069">2011</xref>). A third, even smaller population was established in the Kuzuko section of AENP in 2005.</p>
<p>Other sections not available to elephants have also been added to AENP over time to expand protection of the diverse biomes in the region (<xref ref-type="fig" rid="F0001">Figure 1b</xref>). In the late 1990s, a &#x2018;Greater Addo Elephant National Park&#x2019; was proposed to offer a combination of terrestrial and marine areas that would promote both conservation and development (Kerley &#x0026; Boshoff <xref ref-type="bibr" rid="CIT0036">1997</xref>). While elephants currently do not have access to these areas, there is interest by park management in expanding elephant access to other sections.</p>
</sec>
<sec id="s20004">
<title>Data description</title>
<sec id="s30005">
<title>Elephant telemetry data</title>
<p>Geographic positioning system (GPS) collar data (Africa Wildlife Tracking, Pretoria, South Africa) were obtained for seven female elephants, each representing a different family group. Elephants were collared by SANParks veterinarians following established animal care protocols. Six of the collared elephants occupied the Main Camp &#x2013; Colchester section of AENP, while one occupied the Nyathi section (<xref ref-type="fig" rid="F0001">Figure 1c</xref>). Collars recorded location data at frequencies ranging from hourly to three records per day between March 2010 and March 2013. Records were filtered to create three data sets of daily observations: daily locations at 06:00, 12:00 and 16:00. Positional dilution of precision (PDOP) records for each collar indicated high levels of accuracy (<xref ref-type="table" rid="T0004">Table 1-A2</xref>; D&#x2019;Eon &#x0026; Delparte <xref ref-type="bibr" rid="CIT0014">2005</xref>).</p>
</sec>
<sec id="s30006">
<title>Remotely sensed vegetation data</title>
<p>Vegetation data were obtained from the Moderate Resolution Imaging Spectroradiometer (MODIS). The MOD13Q1 product provided vegetation indices at a 250 m spatial resolution in 16-day composites. Each pixel in a composite contained the maximum observation across the 16-day period to reduce issues associated with clouds, aerosol loading and shadows (Huete et al. <xref ref-type="bibr" rid="CIT0032">2011</xref>). Normalised Difference Vegetation Index (NDVI) layers from MODIS tile H20V12 were obtained from the USGS Land Processes Distributed Active Archive Center (<ext-link ext-link-type="uri" xlink:href="https://www.lpdaac.usgs.gov/">https://www.lpdaac.usgs.gov/</ext-link>) for the period spanning from 06 March 2010 to 21 March 2013. NDVI indicates the &#x2018;greenness&#x2019; of plants across the landscape (Huete, Justice &#x0026; Van Leeuwen <xref ref-type="bibr" rid="CIT0033">1999</xref>), reflecting vegetation productivity (Pettorelli et al. <xref ref-type="bibr" rid="CIT0062">2005</xref>) and nutritional quality (Loarie et al. <xref ref-type="bibr" rid="CIT0044">2009b</xref>). It is commonly used in wildlife ecology and management (Pettorelli et al. <xref ref-type="bibr" rid="CIT0061">2011</xref>) and in studies of elephant movement (e.g. Boettiger et al. <xref ref-type="bibr" rid="CIT0003">2011</xref>; Marshal et al. <xref ref-type="bibr" rid="CIT0049">2011</xref>). Preprocessing of MODIS composites was conducted using the MODIS Reprojection Tool (<ext-link ext-link-type="uri" xlink:href="https://www.lpdaac.usgs.gov/tools/modis_reprojection_tool">https://www.lpdaac.usgs.gov/tools/modis_reprojection_tool</ext-link>) and ArcGIS (Version 9.3, ESRI, Redlands, CA). This included projecting MODIS composites to Universal Transverse Mercator (UTM) zone 35S and resampling using nearest neighbour sampling to ensure pixels were exactly 250 m &#x00D7; 250 m. All data with pixel qualities of 0 and 1 were retained for analysis, based on the pixel reliability summary provided with the MOD13Q1 data.</p>
</sec>
<sec id="s30007">
<title>Other covariate data</title>
<p>In addition to NDVI, covariate data were obtained for the distance to artificial water points (hereafter distance to water), slope and terrain ruggedness (<xref ref-type="fig" rid="F0007">Figure 2-A1</xref>). Distance to water was calculated in ArcGIS at a 250 m spatial resolution using shapefiles of water point locations obtained from SANParks. Elevation data were obtained at a 30 m &#x00D7; 30 m resolution from the ASTER Global Digital Elevation Model V2 (ASTER GDEM is a product of METI and NASA). Data were downloaded from NASA Reverb (<ext-link ext-link-type="uri" xlink:href="http://www.reverb.echo.nasa.gov/">http://www.reverb.echo.nasa.gov/</ext-link>) and then projected to UTM zone 35S in ArcGIS. Block means were calculated on the elevation data using a 250 m &#x00D7; 250 m rectangular neighbourhood to match the resolution of the NDVI and distance to water data. The resulting raster was resampled to a 250 m resolution using nearest neighbour sampling. Slope was calculated from the elevation raster using the Spatial Analyst toolbox in ArcGIS. Terrain ruggedness was calculated using the vector ruggedness measure (VRM) developed by Sappington, Longshore and Thompson (<xref ref-type="bibr" rid="CIT0070">2007</xref>). This measure takes into account heterogeneity in both slope and aspect and yet has a low correlation with slope, allowing both measures to be included in analyses to represent different components of selection by animals (Sappington et al. <xref ref-type="bibr" rid="CIT0070">2007</xref>). Terrain ruggedness was calculated in ArcGIS using the VRM tool (VRM <xref ref-type="bibr" rid="CIT0081">2012</xref>) with a 3 &#x00D7; 3 pixel window on the 250 m elevation raster.</p>
</sec>
</sec>
<sec id="s20008">
<title>Resource selection analysis</title>
<p>Step selection functions (SSFs; Forester et al. <xref ref-type="bibr" rid="CIT0023">2009</xref>; Fortin et al. <xref ref-type="bibr" rid="CIT0024">2005</xref>) were developed using conditional logistic regression (CLR) models to investigate resource selection by elephants at a daily scale. These models, alternatively called discrete choice models, evaluate &#x2018;choice sets&#x2019; contrasting characteristics of the choice made at a given time (the elephant location) with those that were available (other nearby locations; Duchesne, Fortin &#x0026; Courbin <xref ref-type="bibr" rid="CIT0016">2010</xref>; Manly et al. <xref ref-type="bibr" rid="CIT0048">2002</xref>). How &#x2018;available&#x2019; locations are defined in such studies can strongly influence findings (Beyer et al. <xref ref-type="bibr" rid="CIT0001">2010</xref>). When used to evaluate resource selection functions, CLR models typically involve a matched design in which animal presence points are associated with &#x2018;available&#x2019; locations drawn within a limited area (Boyce <xref ref-type="bibr" rid="CIT0006">2006</xref>; Duchesne et al. <xref ref-type="bibr" rid="CIT0016">2010</xref>). We sampled the empirical distribution of daily step lengths and turning angles for all individuals to determine our available locations (Forester et al. <xref ref-type="bibr" rid="CIT0023">2009</xref>). Step lengths and turning angles were calculated using the &#x2018;adehabitatLT&#x2019; package in R (Calenge <xref ref-type="bibr" rid="CIT0009">2006</xref>; R Core Team <xref ref-type="bibr" rid="CIT0064">2016</xref>). Twenty available points were drawn for each observed elephant location, based on a sensitivity analysis (<xref ref-type="app" rid="app003">Appendix 3</xref>). Available points drawn from areas inaccessible to elephants (i.e. outside the park or within botanical reserves) were discarded and replacement points were drawn.</p>
<p>We developed a set of candidate models representing potential resource selection by elephants at a daily scale (<xref ref-type="table" rid="T0001">Table 1</xref>) for locations recorded in the morning (06:00), midday (12:00) and afternoon (16:00). All models contained a spline for distance to the previous used point to help reduce bias in SSF estimation (Forester et al. <xref ref-type="bibr" rid="CIT0023">2009</xref>). Distance splines were included using the pspline function of the &#x2018;survival&#x2019; package in R (Therneau <xref ref-type="bibr" rid="CIT0078">2015</xref>; Therneau &#x0026; Grambsch <xref ref-type="bibr" rid="CIT0079">2000</xref>) with two degrees of freedom, following the approach of Panzacchi et al. (<xref ref-type="bibr" rid="CIT0060">2016</xref>). Variance inflation factors (VIF) were used to check for the presence of collinearity among covariates in the full model using R code from Zuur et al. (<xref ref-type="bibr" rid="CIT0087">2009</xref>). All VIF values were less than 1.5; therefore, all covariates were retained in the candidate model set. To allow for changing selection over time, candidate models were also run with each covariate interacted with a function of time. Time was included following <xref ref-type="disp-formula" rid="FD3">Equation 3</xref> in Wilson et al. (<xref ref-type="bibr" rid="CIT0085">2014</xref>), using a function <italic>F</italic>(<italic>t</italic>), defined as:</p>
<disp-formula id="FD1"><alternatives><mml:math display="block" id="M1"><mml:mrow><mml:mi>F</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mi>c</mml:mi><mml:mi>o</mml:mi><mml:mi>s</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x00D7;</mml:mo><mml:mi>&#x03C0;</mml:mi><mml:mo>&#x00D7;</mml:mo><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mn>365</mml:mn></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>+</mml:mo><mml:mi>sin</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x00D7;</mml:mo><mml:mi>&#x03C0;</mml:mi><mml:mo>&#x00D7;</mml:mo><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mn>365</mml:mn></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="KOEDOE-59-1326-e001.tif"/></alternatives><label>[Eqn 1]</label></disp-formula>
<p>where <italic>t</italic> is the Julian day of an elephant location and its associated available locations. Population-level SSF analyses under each candidate model were run for the six elephants occupying the Main Camp &#x2013; Colchester section of AENP. Covariate values were scaled by subtracting the mean and dividing by the standard deviation, following the approach of Northrup et al. (<xref ref-type="bibr" rid="CIT0055">2013</xref>). Models were run using the &#x2018;survival&#x2019; package in R. Selection between models was performed with the &#x2018;AICcmodavg&#x2019; package in R (Mazerolle <xref ref-type="bibr" rid="CIT0050">2016</xref>), using Akaike&#x2019;s information criterion corrected for small sample size (AICc; Burnham &#x0026; Anderson <xref ref-type="bibr" rid="CIT0008">2002</xref>) to select the most parsimonious model.</p>
<table-wrap id="T0001">
<label>TABLE 1</label>
<caption><p>Candidate models for elephant resource selection in Addo Elephant National Park, South Africa.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left">Model number</th>
<th align="left">Model</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">1</td>
<td align="left">NDVI</td>
</tr>
<tr>
<td align="left">2</td>
<td align="left">Slope</td>
</tr>
<tr>
<td align="left">3</td>
<td align="left">Rugged</td>
</tr>
<tr>
<td align="left">4</td>
<td align="left">DistW</td>
</tr>
<tr>
<td align="left">5</td>
<td align="left">NDVI + Slope</td>
</tr>
<tr>
<td align="left">6</td>
<td align="left">NDVI + Rugged</td>
</tr>
<tr>
<td align="left">7</td>
<td align="left">NDVI + DistW</td>
</tr>
<tr>
<td align="left">8</td>
<td align="left">Slope + Rugged</td>
</tr>
<tr>
<td align="left">9</td>
<td align="left">Slope + DistW</td>
</tr>
<tr>
<td align="left">10</td>
<td align="left">Rugged + DistW</td>
</tr>
<tr>
<td align="left">11</td>
<td align="left">NDVI + Slope + Rugged</td>
</tr>
<tr>
<td align="left">12</td>
<td align="left">NDVI + Slope + DistW</td>
</tr>
<tr>
<td align="left">13</td>
<td align="left">NDVI + Rugged + DistW</td>
</tr>
<tr>
<td align="left">14</td>
<td align="left">Slope + Rugged + DistW</td>
</tr>
<tr>
<td align="left">15</td>
<td align="left">NDVI + Slope + Rugged + DistW</td>
</tr>
<tr>
<td align="left">16</td>
<td align="left">NDVI &#x00D7; Time</td>
</tr>
<tr>
<td align="left">17</td>
<td align="left">Slope &#x00D7; Time</td>
</tr>
<tr>
<td align="left">18</td>
<td align="left">Rugged &#x00D7; Time</td>
</tr>
<tr>
<td align="left">19</td>
<td align="left">DistW &#x00D7; Time</td>
</tr>
<tr>
<td align="left">20</td>
<td align="left">NDVI &#x00D7; Time + Slope &#x00D7; Time</td>
</tr>
<tr>
<td align="left">21</td>
<td align="left">NDVI &#x00D7; Time + Rugged &#x00D7; Time</td>
</tr>
<tr>
<td align="left">22</td>
<td align="left">NDVI &#x00D7; Time + DistW &#x00D7; Time</td>
</tr>
<tr>
<td align="left">23</td>
<td align="left">Slope &#x00D7; Time + Rugged &#x00D7; Time</td>
</tr>
<tr>
<td align="left">24</td>
<td align="left">Slope &#x00D7; Time + DistW &#x00D7; Time</td>
</tr>
<tr>
<td align="left">25</td>
<td align="left">Rugged &#x00D7; Time + DistW &#x00D7; Time</td>
</tr>
<tr>
<td align="left">26</td>
<td align="left">NDVI &#x00D7; Time + Slope &#x00D7; Time + Rugged &#x00D7; Time</td>
</tr>
<tr>
<td align="left">27</td>
<td align="left">NDVI &#x00D7; Time + Slope &#x00D7; Time + DistW &#x00D7; Time</td>
</tr>
<tr>
<td align="left">28</td>
<td align="left">NDVI &#x00D7; Time + Rugged &#x00D7; Time + DistW &#x00D7; Time</td>
</tr>
<tr>
<td align="left">29</td>
<td align="left">Slope &#x00D7; Time + Rugged &#x00D7; Time + DistW &#x00D7; Time</td>
</tr>
<tr>
<td align="left">30</td>
<td align="left">NDVI &#x00D7; Time + Slope &#x00D7; Time + Rugged &#x00D7; Time + DistW &#x00D7; Time</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>Covariates considered included vegetation greenness, represented by the Normalised Difference Vegetation Index (NDVI), distance to artificial water points (DistW), slope, terrain ruggedness (Rugged) and time (as represented in <xref ref-type="disp-formula" rid="FD1">Equation 1</xref>). In addition, each candidate model included a spline of the distance to previous used location to help reduce bias in step selection function estimation.</p></fn>
</table-wrap-foot>
</table-wrap>
<p>We followed the approach of Forester et al. (<xref ref-type="bibr" rid="CIT0023">2009</xref>) to calculate robust standard errors controlling for multiple observations per individual. This involved calculating deviance residuals for each top model identified through the model selection process, fitting an intercept-only mixed-effects model to the residuals with a random intercept for individual elephants, using the autocorrelation function of this model to determine the lag of correlation, and assigning the data into independent clusters based on the identified lag. The data were subset into two independent models using the clusters and a CLR model was fit on each subset. The resulting covariance matrices from each subset were then averaged to provide adjusted standard errors.</p>
<p>Predictive performance of the top model for each daily data set was assessed both for interpolative ability within the Main Camp &#x2013; Colchester section of AENP and extrapolative ability using independent data from the collared female elephant in the Nyathi section. Interpolative predictive ability was determined using k-fold cross-validation (Boyce et al. <xref ref-type="bibr" rid="CIT0007">2002</xref>; Johnson et al. <xref ref-type="bibr" rid="CIT0035">2006</xref>), with the used and available data from the six Main Camp &#x2013; Colchester elephants split 90&#x0025; &#x2013; 10&#x0025; across 10 folds. Differences in covariate values in the Nyathi section of AENP compared with the Main Camp &#x2013; Colchester section (<xref ref-type="fig" rid="F0007">Figures 2-A1</xref> and <xref ref-type="fig" rid="F0008">3-A1</xref>) led to exclusion of the Nyathi elephant from the population-level resource selection model, but provided an opportunity to test model predictive performance in an area with differing availability. Extrapolative predictive ability was evaluated with an adapted version of the Boyce et al. (<xref ref-type="bibr" rid="CIT0007">2002</xref>) approach. The top CLR model for each of the three daily data sets was predicted to the Nyathi section of AENP and the resulting values were binned into 10 quantiles. The Spearman&#x2019;s rank correlation between binned values at locations used by the Nyathi elephant and the expected number of observations per bin based on the CLR predictions was used to indicate predictive performance.</p>
<p>To visually represent habitat use over time by elephants in AENP, relative habitat suitability was predicted for the Main Camp &#x2013; Colchester section at a 250 m resolution following <xref ref-type="disp-formula" rid="FD2">Equation 2</xref> in Wilson et al. (<xref ref-type="bibr" rid="CIT0085">2014</xref>):</p>
<disp-formula id="FD2"><alternatives><mml:math display="block" id="M2"><mml:mrow><mml:mi>w</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mi>e</mml:mi><mml:mi>x</mml:mi><mml:mi>p</mml:mi><mml:mrow><mml:mo>[</mml:mo> <mml:mrow><mml:mi>&#x03B2;</mml:mi><mml:mo>&#x00D7;</mml:mo><mml:mi>F</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>&#x2032;</mml:mo><mml:mi mathvariant="bold-italic">X</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow> <mml:mo>]</mml:mo></mml:mrow></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="KOEDOE-59-1326-e002.tif"/></alternatives><label>[Eqn 2]</label></disp-formula>
<p>where w(<italic>s, t</italic>) is the relative habitat use prediction for pixel <italic>s</italic> at time <italic>t, &#x03B2;</italic> is the vector of selection coefficients estimated using the procedure above, <italic>F</italic>(<italic>t</italic>) follows <xref ref-type="disp-formula" rid="FD1">Equation 1</xref> above and <italic>X</italic>(<italic>s, t</italic>) is the vector of environmental covariates measured for pixel <italic>s</italic> at time <italic>t</italic>. Predicted values were then rescaled using a linear stretch to range between 0 and 1 following Equation 7 in DeCesare et al. (<xref ref-type="bibr" rid="CIT0015">2012</xref>):</p>
<disp-formula id="FD3"><alternatives><mml:math display="block" id="M3"><mml:mrow><mml:mover accent="true"><mml:mi>w</mml:mi><mml:mo>&#x005E;</mml:mo></mml:mover><mml:mo stretchy="false">(</mml:mo><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mi>w</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mi>w</mml:mi><mml:mrow><mml:mi>m</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mrow><mml:mi>m</mml:mi><mml:mi>a</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mi>w</mml:mi><mml:mrow><mml:mi>m</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="KOEDOE-59-1326-e003.tif"/></alternatives><label>[Eqn 3]</label></disp-formula>
<p>Predicted maps of relative elephant use within the Main Camp &#x2013; Colchester area were estimated for 70 sixteen-day periods, corresponding to the MODIS NDVI composites described above. An aggregated view of the relative probability of elephant use was obtained by averaging each of the 70 predicted maps and applying a linear stretch following <xref ref-type="disp-formula" rid="FD3">Equation 3</xref>.</p>
<p>The elephant-accessible areas of AENP are situated within a larger network of sections that together make up the proclaimed national park (<xref ref-type="fig" rid="F0001">Figure 1b</xref>). Previous management of elephant numbers in AENP has involved opening new sections of the park to elephants (Kerley &#x0026; Landman <xref ref-type="bibr" rid="CIT0037">2006</xref>), as witnessed in the Colchester section during this study. Managers are thus not only interested in how elephants use habitats within currently accessible areas but also in likely movements of elephants if additional fences are removed. To provide a preliminary answer to this question, we used the midday SSF model to predict relative probability of use by elephants across the Greater AENP. Only the midday model was used in this extrapolation because it was the only model to show robust predictions when extrapolated to the Nyathi area (see the Results section).</p>
</sec>
</sec>
<sec id="s0009">
<title>Results</title>
<p>The seven collared elephants in this study (six in the Main Camp &#x2013; Colchester section of AENP plus one in the Nyathi section) each contributed between 504 and 1046 locations to the SSF analyses (<xref ref-type="table" rid="T0004">Table 1-A2</xref>). Depending on the time of the day, elephants exhibited daily steps that averaged between 2151.5 m and 2267.5 m (<xref ref-type="table" rid="T0004">Table 1-A2</xref>). Results were similar when the elephant occupying the Nyathi section of AENP was excluded (<xref ref-type="table" rid="T0005">Table 2-A2</xref>).</p>
<p>All three daily movement data sets had clearly supported top models (<xref ref-type="table" rid="T0002">Table 2</xref>). The full model including all covariates and time-varying selection coefficients (Model 30 in <xref ref-type="table" rid="T0001">Table 1</xref>) was the best for all three data sets, with Akaike weights between 0.98 and 1.00. Selection patterns varied across the daily data sets (<xref ref-type="table" rid="T0003">Table 3</xref>), indicating both daily and annual variation in resource selection by female elephants in AENP. Predictive performance of the daily models varied across data sets for both interpolation and extrapolation (<xref ref-type="table" rid="T0003">Table 3</xref>). Interpolative predictive performance, as indicated by k-fold cross-validation, was high for both the 12:00 and 16:00 daily selection models, while the 06:00 model performed poorly. Extrapolative predictive performance, predicting use for the Nyathi elephant from Main Camp &#x2013; Colchester resource selection models, showed strong predictive ability at 12:00, but weak performance at 06:00 and 16:00.</p>
<table-wrap id="T0002">
<label>TABLE 2</label>
<caption><p>Model selection results for elephant resource selection at a daily scale in Addo Elephant National Park, South Africa. Daily selection was considered in the morning (06:00), midday (12:00) and afternoon (16:00) to reflect within-day variation in selection patterns.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left">Model</th>
<th align="center">k</th>
<th align="center">&#x0394;AICc</th>
<th align="center">Weight</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" colspan="4"><bold>06:00</bold></td>
</tr>
<tr>
<td align="left">30</td>
<td align="center">19</td>
<td align="center">0.0</td>
<td align="center">0.98</td>
</tr>
<tr>
<td align="left">27</td>
<td align="center">16</td>
<td align="center">8.2</td>
<td align="center">0.02</td>
</tr>
<tr>
<td align="left">28</td>
<td align="center">16</td>
<td align="center">46.3</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">22</td>
<td align="center">13</td>
<td align="center">50.8</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">26</td>
<td align="center">16</td>
<td align="center">64.5</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">19</td>
<td align="center">11</td>
<td align="center">68.0</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">20</td>
<td align="center">13</td>
<td align="center">69.8</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">21</td>
<td align="center">13</td>
<td align="center">110.3</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">16</td>
<td align="center">10</td>
<td align="center">112.3</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">18</td>
<td align="center">11</td>
<td align="center">139.6</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">15</td>
<td align="center">11</td>
<td align="center">140.5</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">12</td>
<td align="center">10</td>
<td align="center">141.0</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">13</td>
<td align="center">10</td>
<td align="center">141.6</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">7</td>
<td align="center">9</td>
<td align="center">141.7</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">11</td>
<td align="center">10</td>
<td align="center">142.8</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">5</td>
<td align="center">9</td>
<td align="center">143.5</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">6</td>
<td align="center">9</td>
<td align="center">143.9</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">1</td>
<td align="center">8</td>
<td align="center">144.2</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">29</td>
<td align="center">16</td>
<td align="center">420.1</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">24</td>
<td align="center">13</td>
<td align="center">448.9</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">23</td>
<td align="center">13</td>
<td align="center">477.5</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">25</td>
<td align="center">13</td>
<td align="center">487.3</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">17</td>
<td align="center">10</td>
<td align="center">499.5</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">14</td>
<td align="center">10</td>
<td align="center">530.7</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">8</td>
<td align="center">9</td>
<td align="center">530.8</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">2</td>
<td align="center">8</td>
<td align="center">536.9</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">9</td>
<td align="center">9</td>
<td align="center">537.1</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">10</td>
<td align="center">9</td>
<td align="center">559.7</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">3</td>
<td align="center">8</td>
<td align="center">560.4</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">4</td>
<td align="center">8</td>
<td align="center">564.0</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left" colspan="4"><bold>12:00</bold></td>
</tr>
<tr>
<td align="left">30</td>
<td align="center">19</td>
<td align="center">0.0</td>
<td align="center">1.00</td>
</tr>
<tr>
<td align="left">27</td>
<td align="center">16</td>
<td align="center">18.4</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">28</td>
<td align="center">16</td>
<td align="center">126.0</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">22</td>
<td align="center">13</td>
<td align="center">145.5</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">29</td>
<td align="center">16</td>
<td align="center">239.8</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">24</td>
<td align="center">13</td>
<td align="center">255.0</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">26</td>
<td align="center">16</td>
<td align="center">285.9</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">20</td>
<td align="center">13</td>
<td align="center">304.4</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">21</td>
<td align="center">13</td>
<td align="center">405.6</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">16</td>
<td align="center">10</td>
<td align="center">425.0</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">19</td>
<td align="center">11</td>
<td align="center">425.2</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">25</td>
<td align="center">13</td>
<td align="center">429.5</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">15</td>
<td align="center">11</td>
<td align="center">478.1</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">12</td>
<td align="center">10</td>
<td align="center">478.9</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">14</td>
<td align="center">10</td>
<td align="center">487.0</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">9</td>
<td align="center">9</td>
<td align="center">487.7</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">7</td>
<td align="center">9</td>
<td align="center">581.4</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">13</td>
<td align="center">10</td>
<td align="center">581.9</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">4</td>
<td align="center">8</td>
<td align="center">611.3</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">10</td>
<td align="center">9</td>
<td align="center">612.0</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">23</td>
<td align="center">13</td>
<td align="center">646.1</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">17</td>
<td align="center">10</td>
<td align="center">662.0</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">5</td>
<td align="center">9</td>
<td align="center">695.4</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">11</td>
<td align="center">10</td>
<td align="center">696.8</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">2</td>
<td align="center">8</td>
<td align="center">734.3</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">8</td>
<td align="center">9</td>
<td align="center">735.8</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">18</td>
<td align="center">11</td>
<td align="center">782.1</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">1</td>
<td align="center">8</td>
<td align="center">801.7</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">6</td>
<td align="center">9</td>
<td align="center">803.7</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">3</td>
<td align="center">8</td>
<td align="center">882.3</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left" colspan="4"><bold>16:00</bold></td>
</tr>
<tr>
<td align="left">30</td>
<td align="center">19</td>
<td align="center">0.0</td>
<td align="center">1.00</td>
</tr>
<tr>
<td align="left">27</td>
<td align="center">16</td>
<td align="center">24.4</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">29</td>
<td align="center">16</td>
<td align="center">48.5</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">24</td>
<td align="center">13</td>
<td align="center">70.1</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">14</td>
<td align="center">10</td>
<td align="center">109.7</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">15</td>
<td align="center">11</td>
<td align="center">111.6</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">28</td>
<td align="center">16</td>
<td align="center">111.6</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">9</td>
<td align="center">9</td>
<td align="center">123.6</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">12</td>
<td align="center">10</td>
<td align="center">125.5</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">22</td>
<td align="center">13</td>
<td align="center">134.1</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">25</td>
<td align="center">13</td>
<td align="center">174.6</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">19</td>
<td align="center">11</td>
<td align="center">191.1</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">13</td>
<td align="center">10</td>
<td align="center">217.5</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">10</td>
<td align="center">9</td>
<td align="center">222.0</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">7</td>
<td align="center">9</td>
<td align="center">227.9</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">4</td>
<td align="center">8</td>
<td align="center">232.2</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">26</td>
<td align="center">16</td>
<td align="center">284.2</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">20</td>
<td align="center">13</td>
<td align="center">307.9</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">23</td>
<td align="center">13</td>
<td align="center">364.7</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">11</td>
<td align="center">10</td>
<td align="center">380.7</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">17</td>
<td align="center">10</td>
<td align="center">385.8</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">5</td>
<td align="center">9</td>
<td align="center">388.5</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">21</td>
<td align="center">13</td>
<td align="center">389.7</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">8</td>
<td align="center">9</td>
<td align="center">391.9</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">2</td>
<td align="center">8</td>
<td align="center">399.7</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">16</td>
<td align="center">10</td>
<td align="center">412.3</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">18</td>
<td align="center">11</td>
<td align="center">470.5</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">6</td>
<td align="center">9</td>
<td align="center">486.3</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">1</td>
<td align="center">8</td>
<td align="center">491.0</td>
<td align="center">0.00</td>
</tr>
<tr>
<td align="left">3</td>
<td align="center">8</td>
<td align="center">519.7</td>
<td align="center">0.00</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>Candidate models were compared using Akaike&#x2019;s information criterion adjusted for small sample size (AICc). The difference in AICc values between models (&#x0394;AICc), corresponding Akaike weights and the number of parameters retained for each model (k) are reported here. Model numbers correspond to <xref ref-type="table" rid="T0001">Table 1</xref>.</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T0003">
<label>TABLE 3</label>
<caption><p>Step selection function regression coefficients and associated standard errors for elephants in Addo Elephant National Park at a daily scale, recorded in the morning (06:00), midday (12:00) and afternoon (16:00).</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="3">Covariate</th>
<th align="center" colspan="2">Daily steps at 06:00</th>
<th align="center" colspan="2">Daily steps at 12:00</th>
<th align="center" colspan="2">Daily steps at 16:00</th>
</tr>
<tr>
<th align="center" colspan="2"><hr/></th>
<th align="center" colspan="2"><hr/></th>
<th align="center" colspan="2"><hr/></th>
</tr>
<tr>
<th align="center">Coefficient</th>
<th align="center">Standard error</th>
<th align="center">Coefficient</th>
<th align="center">Standard error</th>
<th align="center">Coefficient</th>
<th align="center">Standard error</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">NDVI</td>
<td align="center"><bold>0.625</bold></td>
<td align="center"><bold>&#x00B1;0.066</bold></td>
<td align="center">0.006</td>
<td align="center">&#x00B1;0.033</td>
<td align="center">0.016</td>
<td align="center">&#x00B1;0.041</td>
</tr>
<tr>
<td align="left">NDVI.c</td>
<td align="center">&#x2212;0.126</td>
<td align="center">&#x00B1;0.076</td>
<td align="center"><bold>&#x2212;0.496</bold></td>
<td align="center"><bold>&#x00B1;0.062</bold></td>
<td align="center"><bold>&#x2212;0.198</bold></td>
<td align="center"><bold>&#x00B1;0.069</bold></td>
</tr>
<tr>
<td align="left">NDVI.s</td>
<td align="center">&#x2212;0.089</td>
<td align="center">&#x00B1;0.106</td>
<td align="center">&#x2212;0.118</td>
<td align="center">&#x00B1;0.064</td>
<td align="center"><bold>&#x2212;0.129</bold></td>
<td align="center"><bold>&#x00B1;0.047</bold></td>
</tr>
<tr>
<td align="left">DistW</td>
<td align="center">&#x2212;0.042</td>
<td align="center">&#x00B1;0.103</td>
<td align="center"><bold>&#x2212;0.598</bold></td>
<td align="center"><bold>&#x00B1;0.162</bold></td>
<td align="center"><bold>&#x2212;0.652</bold></td>
<td align="center"><bold>&#x00B1;0.148</bold></td>
</tr>
<tr>
<td align="left">DistW.c</td>
<td align="center"><bold>&#x2212;0.535</bold></td>
<td align="center"><bold>&#x00B1;0.117</bold></td>
<td align="center"><bold>&#x2212;0.581</bold></td>
<td align="center"><bold>&#x00B1;0.180</bold></td>
<td align="center">&#x2212;0.287</td>
<td align="center">&#x00B1;0.166</td>
</tr>
<tr>
<td align="left">DistW.s</td>
<td align="center">&#x2212;0.077</td>
<td align="center">&#x00B1;0.074</td>
<td align="center">0.012</td>
<td align="center">&#x00B1;0.140</td>
<td align="center">0.120</td>
<td align="center">&#x00B1;0.123</td>
</tr>
<tr>
<td align="left">Slope</td>
<td align="center">0.075</td>
<td align="center">&#x00B1;0.055</td>
<td align="center"><bold>&#x2212;0.361</bold></td>
<td align="center"><bold>&#x00B1;0.088</bold></td>
<td align="center"><bold>&#x2212;0.343</bold></td>
<td align="center"><bold>&#x00B1;0.059</bold></td>
</tr>
<tr>
<td align="left">Slope.c</td>
<td align="center"><bold>&#x2212;0.333</bold></td>
<td align="center"><bold>&#x00B1;0.076</bold></td>
<td align="center"><bold>&#x2212;0.242</bold></td>
<td align="center"><bold>&#x00B1;0.083</bold></td>
<td align="center">&#x2212;0.127</td>
<td align="center">&#x00B1;0.086</td>
</tr>
<tr>
<td align="left">Slope.s</td>
<td align="center">0.080</td>
<td align="center">&#x00B1;0.061</td>
<td align="center">0.089</td>
<td align="center">&#x00B1;0.064</td>
<td align="center">0.092</td>
<td align="center">&#x00B1;0.064</td>
</tr>
<tr>
<td align="left">Rugged</td>
<td align="center">&#x2212;0.229</td>
<td align="center">&#x00B1;0.193</td>
<td align="center">0.116</td>
<td align="center">&#x00B1;0.142</td>
<td align="center">0.247</td>
<td align="center">&#x00B1;0.175</td>
</tr>
<tr>
<td align="left">Rugged.c</td>
<td align="center">0.362</td>
<td align="center">&#x00B1;0.305</td>
<td align="center">0.186</td>
<td align="center">&#x00B1;0.172</td>
<td align="center">0.063</td>
<td align="center">&#x00B1;0.197</td>
</tr>
<tr>
<td align="left">Rugged.s</td>
<td align="center">0.241</td>
<td align="center">&#x00B1;0.177</td>
<td align="center"><bold>0.404</bold></td>
<td align="center"><bold>&#x00B1;0.173</bold></td>
<td align="center"><bold>0.333</bold></td>
<td align="center"><bold>&#x00B1;0.158</bold></td>
</tr>
<tr>
<td align="left">DistPrev1</td>
<td align="center"><bold>0.627</bold></td>
<td align="center"><bold>&#x00B1;0.137</bold></td>
<td align="center"><bold>0.810</bold></td>
<td align="center"><bold>&#x00B1;0.149</bold></td>
<td align="center"><bold>0.710</bold></td>
<td align="center"><bold>&#x00B1;0.166</bold></td>
</tr>
<tr>
<td align="left">DistPrev2</td>
<td align="center"><bold>1.219</bold></td>
<td align="center"><bold>&#x00B1;0.255</bold></td>
<td align="center"><bold>1.502</bold></td>
<td align="center"><bold>&#x00B1;0.249</bold></td>
<td align="center"><bold>1.354</bold></td>
<td align="center"><bold>&#x00B1;0.266</bold></td>
</tr>
<tr>
<td align="left">DistPrev3</td>
<td align="center"><bold>1.699</bold></td>
<td align="center"><bold>&#x00B1;0.356</bold></td>
<td align="center"><bold>1.880</bold></td>
<td align="center"><bold>&#x00B1;0.247</bold></td>
<td align="center"><bold>1.764</bold></td>
<td align="center"><bold>&#x00B1;0.269</bold></td>
</tr>
<tr>
<td align="left">DistPrev4</td>
<td align="center"><bold>2.115</bold></td>
<td align="center"><bold>&#x00B1;0.423</bold></td>
<td align="center"><bold>2.274</bold></td>
<td align="center"><bold>&#x00B1;0.306</bold></td>
<td align="center"><bold>2.208</bold></td>
<td align="center"><bold>&#x00B1;0.317</bold></td>
</tr>
<tr>
<td align="left">DistPrev5</td>
<td align="center"><bold>2.595</bold></td>
<td align="center"><bold>&#x00B1;0.500</bold></td>
<td align="center"><bold>2.727</bold></td>
<td align="center"><bold>&#x00B1;0.426</bold></td>
<td align="center"><bold>2.679</bold></td>
<td align="center"><bold>&#x00B1;0.422</bold></td>
</tr>
<tr>
<td align="left">DistPrev6</td>
<td align="center"><bold>3.115</bold></td>
<td align="center"><bold>&#x00B1;0.600</bold></td>
<td align="center"><bold>3.196</bold></td>
<td align="center"><bold>&#x00B1;0.571</bold></td>
<td align="center"><bold>3.155</bold></td>
<td align="center"><bold>&#x00B1;0.572</bold></td>
</tr>
<tr>
<td align="left">DistPrev7</td>
<td align="center"><bold>3.640</bold></td>
<td align="center"><bold>&#x00B1;0.715</bold></td>
<td align="center"><bold>3.667</bold></td>
<td align="center"><bold>&#x00B1;0.730</bold></td>
<td align="center"><bold>3.631</bold></td>
<td align="center"><bold>&#x00B1;0.742</bold></td>
</tr>
<tr>
<td align="left"><bold>Predictive performance</bold></td>
<td align="center"></td>
<td align="center"></td>
<td align="center"></td>
<td align="center"></td>
<td align="center"></td>
</tr>
<tr>
<td align="left">&#x2003;Interpolative</td>
<td align="center">0.37</td>
<td align="center"><italic>p</italic> = 0.219</td>
<td align="center">0.87</td>
<td align="center"><italic>p</italic> &#x003C; 0.001</td>
<td align="center">0.91</td>
<td align="center"><italic>p</italic> &#x003C; 0.001</td>
</tr>
<tr>
<td align="left">&#x2003;Extrapolative</td>
<td align="center">0.22</td>
<td align="center"><italic>p</italic> = 0.537</td>
<td align="center">0.82</td>
<td align="center"><italic>p</italic> = 0.007</td>
<td align="center">0.42</td>
<td align="center"><italic>p</italic> = 0.232</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>Covariate names follow <xref ref-type="table" rid="T0001">Table 1</xref>. Coefficients interacted with time are indicated by .c or .s, corresponding to their interaction with the cosine or sine time-wave function, respectively. The DistPrev1-7 covariates report the coefficient values from the distance to previous location spline. Standard errors reflect Forester et al. (<xref ref-type="bibr" rid="CIT0023">2009</xref>)&#x2019;s adjustment for serial autocorrelation. Values in bold indicate that the coefficient&#x2019;s 95&#x0025; confidence interval does not overlap zero. Interpolative predictive performance reflects the mean Spearman&#x2019;s rank correlation using k-fold cross-validation in the Main Camp &#x2013; Colchester area. <italic>P</italic>-values for each fold were combined using Fisher&#x2019;s method. Extrapolative ability reflects the Spearman rank correlation between use by the Nyathi elephant and predictions from the Main Camp &#x2013; Colchester model. See text for details.</p></fn>
</table-wrap-foot>
</table-wrap>
<p>We tested four hypotheses of elephant selection based on patterns observed in savanna systems, namely that elephants would show (1) a positive association with vegetation greenness, (2) a negative association with distance to water, (3) a negative association with steeper slopes and (4) a positive association with more rugged terrain. Elephant selection of NDVI varied across the year, with the strongest selection in the winter (July&#x2013;September) and the least selection in the summer (November&#x2013;February; <xref ref-type="fig" rid="F0002">Figure 2a</xref>). Daily selection of greener vegetation (high NDVI values) in the morning (06:00) was consistently strong across the year, with the exception of February, aligning with the first hypothesis. At midday (12:00), however, selection patterns were more nuanced, with elephants avoiding greener vegetation from mid-November to March and selecting for greener vegetation from late May to September. Elephants showed little selection or avoidance of NDVI in the afternoon (16:00) throughout the year, contrasting with the first hypothesis. Consistent with the second hypothesis, female elephants in AENP tended to select areas closer to water (negative selection coefficient for distance to water), though this varied both diurnally and annually (<xref ref-type="fig" rid="F0002">Figure 2b</xref>). Elephants showed a strong selection for areas near water points in the summer (November&#x2013;mid-February) at midday and in the afternoon, and the weakest relationship in the morning. Annual patterns in selection coefficients for slope at midday and in the afternoon (<xref ref-type="fig" rid="F0002">Figure 2c</xref>) generally supported the third hypothesis, with a predominantly negative relationship that was strongest from October to February and weakest from May to August. Conversely, daily selection patterns in the morning showed little relationship with slope in the summer, but a positive selection for steeper slopes in mid-winter (mid-May&#x2013;mid-July). Variability in selection coefficient values across the year for terrain ruggedness was similar in the morning, midday and afternoon (<xref ref-type="fig" rid="F0002">Figure 2d</xref>). While some annual fluctuations in selection were apparent, 95&#x0025; confidence intervals for all 3 hours always overlapped zero, indicating little support for selection or avoidance of rugged terrain and contrasting with the fourth hypothesis.</p>
<fig id="F0002">
<label>FIGURE 2</label>
<caption><p>Plots of annual coefficient estimates (lines) and their 95&#x0025; confidence intervals (shaded regions) derived from step selection functions of daily elephant movements recorded at 06:00 (red), 12:00 (blue) and 16:00 (green) for (a) the Normalised Difference Vegetation Index, (b) distance to artificial water, (c) slope and (d) terrain ruggedness.</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="KOEDOE-59-1326-g002.tif"/>
</fig>
<p>The relative probability of use predicted across the Main Camp &#x2013; Colchester area using the SSF models varied throughout the day and across the year (<xref ref-type="fig" rid="F0003">Figure 3</xref>; <xref ref-type="app" rid="app004">Appendix 4</xref>). Predicted use in the morning typically emphasised higher probabilities of use in different parts of the park than at midday and noon. On average across the study period, elephant use was predicted to be higher in the southern portions of the elephant-accessible area in the morning and in the northern parts at midday (<xref ref-type="fig" rid="F0004">Figure 4</xref>). Use in the afternoon was more evenly distributed across the elephant-accessible area (<xref ref-type="fig" rid="F0004">Figure 4</xref>). When extrapolated to the Greater AENP, the midday model predicted the highest probabilities of use in the currently available areas of Main Camp and Colchester as well as the botanical reserves and southern portion of Nyathi (<xref ref-type="fig" rid="F0005">Figure 5</xref>). Predicted use was also relatively high in the northernmost portion of the park around Darlington Dam. The central areas of AENP tended to exhibit lower relative probabilities of use according to the midday model.</p>
<fig id="F0003">
<label>FIGURE 3</label>
<caption><p>Predicted use by elephants in Addo Elephant National Park on three representative dates throughout the study period (rows) and for the three times of day considered (columns). (a) 01 January 2011, 06:00, (b) 01 January 2011, 12:00, (c) 01 January 2011, 16:00, (d) 23 April 2011, 06:00, (e) 23 April 2011, 12:00, (f) 23 April 2011, 16:00, (g) 30 September 2011, 06:00, (h) 30 September 2011, 12:00, (i) 30 September 2011, 16:00.</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="KOEDOE-59-1326-g003.tif"/>
</fig>
<fig id="F0004">
<label>FIGURE 4</label>
<caption><p>Average relative probability of use by elephants in Addo Elephant National Park. Maps reflect the predicted relative probability of use in (a) the morning (06:00), (b) midday (12:00) and (c) afternoon (16:00), averaged across the 70 sixteen-day periods corresponding to the Moderate Resolution Imaging Spectroradiometer composites.</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="KOEDOE-59-1326-g004.tif"/>
</fig>
<fig id="F0005">
<label>FIGURE 5</label>
<caption><p>Relative probability of use by elephants across Addo Elephant National Park. The map reflects the predicted relative probability of use based on the midday (12:00) step selection function model, averaged across the 70 sixteen-day periods corresponding to the Moderate Resolution Imaging Spectroradiometer composites used in this study.</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="KOEDOE-59-1326-g005.tif"/>
</fig>
</sec>
<sec id="s0010">
<title>Discussion</title>
<p>Our findings are consistent with our first three hypotheses in that elephants in Subtropical Thicket responded positively to feeding opportunities (vegetation greenness) and water and negatively to slope. This provides some confidence in the ability to extrapolate findings between biomes in terms of resource selection by elephants. The fourth hypothesis of a positive association of elephants with more rugged terrain was not supported. The latter hypothesis was predicated upon patterns of increased nutrient distribution being associated with rugged terrain in savanna landscapes (Nellemann et al. <xref ref-type="bibr" rid="CIT0054">2002</xref>). The lack of support for this hypothesis was expected on the basis of the generally high nutrients in Subtropical Thicket soils (Kerley &#x0026; Landman <xref ref-type="bibr" rid="CIT0037">2006</xref>). Hence, given the oligotrophic nature of many savanna soils (East <xref ref-type="bibr" rid="CIT0019">1984</xref>), the lack of success in extrapolating this pattern between biomes likely reflects a biome-scale difference rather than a change in elephant resource selection.</p>
<p>There is increasing recognition of the importance of understanding dynamic patterns both in animal movement (Bowler &#x0026; Benton <xref ref-type="bibr" rid="CIT0005">2005</xref>; Mueller &#x0026; Fagan <xref ref-type="bibr" rid="CIT0053">2008</xref>) and resource selection (McLoughlin et al. <xref ref-type="bibr" rid="CIT0051">2010</xref>). Animals occupying dynamic environments face substantial variability at multiple spatial and temporal scales to which they must respond if they are to obtain the necessary resources to survive and reproduce. The interaction of these changes in environmental conditions and individual behavioural responses results in larger patterns of population-level movement and distribution (Mueller &#x0026; Fagan <xref ref-type="bibr" rid="CIT0053">2008</xref>). Understanding the drivers of these space use patterns enables managers to incorporate spatiotemporal patterns of species distribution and impacts into their conservation decisions seeking to balance multiple objectives. Our results indicate that female elephants in AENP exhibit dynamic patterns of resource selection at both daily and annual scales.</p>
<p>Analysis of elephant selection for green vegetation, distance to water and slope indicates variable selection patterns over time both annually and daily. Annual variability in resource selection (Evans &#x0026; Harris <xref ref-type="bibr" rid="CIT0020">2012</xref>; Jachowski, Slotow &#x0026; Millspaugh <xref ref-type="bibr" rid="CIT0034">2012</xref>; Shannon et al. <xref ref-type="bibr" rid="CIT0073">2006</xref>), movement patterns (Leggett <xref ref-type="bibr" rid="CIT0042">2010</xref>; Loarie et al. <xref ref-type="bibr" rid="CIT0043">2009a</xref>; Wittemyer et al. <xref ref-type="bibr" rid="CIT0086">2008</xref>) and home range size (Osborn <xref ref-type="bibr" rid="CIT0057">2003</xref>; Shannon et al. <xref ref-type="bibr" rid="CIT0073">2006</xref>) has been previously reported for elephants, though typically in the context of seasonal systems. Our study shows that in the aseasonal context of AENP, elephants also show variable selection patterns across the year. For NDVI, distance to water and slope, the most notable divergences from the hypotheses of selection based on patterns seen in savanna systems occur during the winter (approximately May&#x2013;October; <xref ref-type="fig" rid="F0002">Figure 2</xref>). While rainfall patterns are aseasonal in AENP, temperature follows much more consistent patterns, with the winter generally being cooler than the summer (<xref ref-type="fig" rid="F0006">Figure 1-A1</xref>). Ambient temperature influences habitat selection in elephants (Kinahan, Pimm &#x0026; Van Aarde <xref ref-type="bibr" rid="CIT0038">2007</xref>). The cooler temperatures in the winter may relax the need for elephants to remain close to water, allowing them to select for areas of greener vegetation as seen in the positive midday selection coefficients for NDVI during this period.</p>
<p>Daily variation in elephant movement and resource selection is apparent in many systems (e.g. Cook, Henley &#x0026; Parrini <xref ref-type="bibr" rid="CIT0013">2015</xref>; Galanti et al. <xref ref-type="bibr" rid="CIT0025">2006</xref>; Graham et al. <xref ref-type="bibr" rid="CIT0027">2009</xref>). These patterns, however, are typically associated with human activity and perceptions of risk by elephants (but see Loarie et al. <xref ref-type="bibr" rid="CIT0043">2009a</xref>). While previous studies often break daily patterns into day&#x2013;night comparisons, we record finer levels of variability, with selection patterns in the morning often differing from those observed at midday and in the afternoon. This is most pronounced in the selection of green vegetation, but is also somewhat apparent for distance to water and slope. Boettiger et al. (<xref ref-type="bibr" rid="CIT0003">2011</xref>) suggest that elephant foraging strategies in seasonal savannas of northern Kenya are more complex than simply selecting areas with the highest productivity, as has been indicated elsewhere (e.g. Loarie et al. <xref ref-type="bibr" rid="CIT0044">2009b</xref>; Wall et al. <xref ref-type="bibr" rid="CIT0083">2013</xref>). Our study finds similar complexity of selection in the aseasonal system of AENP, where elephants consistently select for greener vegetation (higher NDVI values) in the morning, but exhibit negative or neutral selection patterns later in the day. A trade-off has been noted for many herbivores between balancing water requirements and nutritional needs (e.g. Chamaill&#x00E9;-Jammes et al. <xref ref-type="bibr" rid="CIT0010">2013</xref>; Redfern et al. <xref ref-type="bibr" rid="CIT0065">2003</xref>). For elephants, the need to regularly access drinking water (Chamaill&#x00E9;-Jammes et al. <xref ref-type="bibr" rid="CIT0010">2013</xref>) constrains habitat use options (Redfern et al. <xref ref-type="bibr" rid="CIT0065">2003</xref>), limiting the ability of elephants to consistently select for green vegetation. While the small size of AENP and relative frequency of water points in the elephant-accessible areas mean that water is not limiting in the traditional sense of a lack of sufficient water, the localisation of available water interacting with the regular need to access water by elephants may still constrain movement decisions. Indeed, water can still serve as a constraining factor even in systems with very high water availability (Redfern et al. <xref ref-type="bibr" rid="CIT0065">2003</xref>). In AENP, we propose that the concentration of available water at borehole-fed artificial water points leads elephants to function like central-place foragers, as has been seen for other species (Rozen-Rechels et al. <xref ref-type="bibr" rid="CIT0067">2015</xref>). Elephants may venture away from water points in the morning, seeking to maximise their forage intake and meet their nutritional requirements, before returning to water points in the middle of the day. This could explain the generally positive selection for greener vegetation and weaker relationship with distance to water observed in the morning data. As a generalist forager (Kerley &#x0026; Landman <xref ref-type="bibr" rid="CIT0037">2006</xref>), elephants may use a variety of habitats to meet their nutritional requirements. However, the finite water availability in AENP leads to similar patterns of use when drinking, as common targets constrain resource selection strategies (Boettiger et al. <xref ref-type="bibr" rid="CIT0003">2011</xref>). This diversity of options for elephant use in the morning may explain why the morning SSF model had substantially poorer interpolative prediction ability compared with the midday and afternoon models.</p>
<p>In addition to elephants balancing forage&#x2013;water trade-offs through daily variability in habitat use, they may be able to further minimise trade-offs through habitat modification. High elephant utilisation around artificial water points leads to changes in vegetation structure and composition, with succulent thicket vegetation being largely replaced by grass (Landman et al. <xref ref-type="bibr" rid="CIT0041">2012</xref>). O&#x2019;Connor, Goodman and Clegg (<xref ref-type="bibr" rid="CIT0056">2007</xref>) suggested that elephants should favour green grasses and forbs as a food source because of their high potential intake rate. Dietary studies indicate this is the case in AENP, as <italic>Cynodon dactylon</italic>, the main grass growing around highly utilised water points (Landman et al. <xref ref-type="bibr" rid="CIT0041">2012</xref>), comprises a significant proportion of elephant diet (Landman et al. <xref ref-type="bibr" rid="CIT0040">2008</xref>; Paley &#x0026; Kerley <xref ref-type="bibr" rid="CIT0059">1998</xref>). Elephants thus may be creating favourable conditions that enhance their forage opportunities, similar to patterns seen in other systems (Du Toit &#x0026; Olff <xref ref-type="bibr" rid="CIT0018">2014</xref>). These modified areas may allow elephants to meet their water requirement while minimising their cost in reduced forage opportunities.</p>
<p>All location data in this study are for female elephants. Patterns may differ for male elephants, as studies from various parts of southern Africa have found behavioural, diet and movement differences between sexes (Evans &#x0026; Harris <xref ref-type="bibr" rid="CIT0020">2012</xref>; Shannon, Mackey &#x0026; Slotow <xref ref-type="bibr" rid="CIT0071">2013</xref>; Smit, Grant &#x0026; Whyte <xref ref-type="bibr" rid="CIT0076">2007b</xref>). Similarly, Whitehouse and Schoeman (<xref ref-type="bibr" rid="CIT0084">2003</xref>) reported differences between female and male elephant movement patterns in AENP. In addition, Duffy et al. (<xref ref-type="bibr" rid="CIT0017">2011</xref>) suggested that sexual activity may alter elephant movement patterns, even overriding the importance of factors such as water. It is unclear what influence male elephants in AENP may have had on female movement and habitat selection or how the patterns described here for female herds reflect habitat selection decisions made by males. However, GPS collars were recently placed on several male elephants in AENP (A. Gaylard, unpublished data), enabling future comparison of habitat selection patterns for male elephants with those observed here.</p>
<sec id="s20011">
<title>Management implications</title>
<p>Balancing the objectives of protecting biodiversity and enhancing tourist experiences and outcomes is a key challenge for conservation in protected areas worldwide. In some cases, a desire to improve tourist outcomes leads to managers increasing numbers of charismatic species. In AENP, this has meant introducing lions (<italic>Panthera leo</italic>; SANParks <xref ref-type="bibr" rid="CIT0068">2008</xref>), while other South African parks and reserves stock high densities of lions, cheetahs (<italic>Acinonyx jubatus</italic>) and elephants (Clements, Cumming &#x0026; Kerley <xref ref-type="bibr" rid="CIT0012">2016</xref>; Maciejewski &#x0026; Kerley <xref ref-type="bibr" rid="CIT0046">2014</xref>). At high densities, however, elephants have negative impacts on the vegetation and animals of AENP (Kerley &#x0026; Landman <xref ref-type="bibr" rid="CIT0037">2006</xref>; Landman &#x0026; Kerley <xref ref-type="bibr" rid="CIT0039">2014</xref>; Landman et al. <xref ref-type="bibr" rid="CIT0040">2008</xref>; Tambling et al. <xref ref-type="bibr" rid="CIT0077">2013</xref>), threatening the rare plants contained within the park and compromising the mandate of SANParks to protect biodiversity. Fortunately, recent analyses suggest that high elephant densities may not be necessary to produce positive tourist experiences (Maciejewski &#x0026; Kerley <xref ref-type="bibr" rid="CIT0046">2014</xref>). This provides an opportunity to promote &#x2018;smarter tourism&#x2019;, improving viewing success by guiding tourists towards areas where they are likely to see elephants, rather than by increasing elephant numbers artificially. The results of this and other similar studies can inform such efforts, providing daily and annual guidance on elephant space use patterns that can help visitors&#x2019; planning. For example, our SSF models suggest that areas around water points may not provide the best viewing opportunities for early morning tourism. Tourists should visit other areas of the park in the morning or focus on other species during this period. By midday, the probability of viewing elephants around water points should increase and should be maintained into the afternoon, though with greater variability. These models can also be used to inform plans to develop tourism infrastructure such as roads that will improve access to elephant-viewing opportunities. It is important to note, however, that these are general trends and that specific patterns of habitat use by elephants may vary at different times of the year as elephants respond to other factors such as ambient temperature or rainfall (Birkett et al. <xref ref-type="bibr" rid="CIT0002">2012</xref>).</p>
<p>In AENP, as in many other small fenced reserves in South Africa (Mackey et al. <xref ref-type="bibr" rid="CIT0047">2006</xref>; Slotow et al. <xref ref-type="bibr" rid="CIT0074">2005</xref>), the elephant population has grown rapidly over time, often exceeding the estimated carrying capacity of the elephant-accessible areas (Gough &#x0026; Kerley <xref ref-type="bibr" rid="CIT0026">2006</xref>; Hayward &#x0026; Kerley <xref ref-type="bibr" rid="CIT0029">2009</xref>). One way managers have addressed increasing elephant numbers in AENP is by opening new areas to elephants, temporarily reducing overall density (Gough &#x0026; Kerley <xref ref-type="bibr" rid="CIT0026">2006</xref>). Our projections of the relative probability of elephant use across the Greater AENP (<xref ref-type="fig" rid="F0005">Figure 5</xref>) offer insights into where elephant use may concentrate if given access to new areas. As expected, the areas currently available to elephants in Main Camp, Colchester and the southern portion of Nyathi show high likelihood of continued use by elephants. The use of these areas by elephants is likely to remain high even if other areas are made available because of the long-term spatiotemporal memory of elephants (Van Aarde et al. <xref ref-type="bibr" rid="CIT0080">2008</xref>), which enables social transmission of site fidelity across generations (Fishlock, Caldwell &#x0026; Lee <xref ref-type="bibr" rid="CIT0022">2016</xref>). The botanical reserves and other fenced areas in the Main Camp and Colchester sections are explicitly included in our forecasts and, as expected, show an overall high likelihood of use by elephants, emphasising their importance in protecting rare plants from elephant impacts (Lombard et al. <xref ref-type="bibr" rid="CIT0045">2001</xref>). Other areas that are included in the Greater AENP but currently lack permanent water (shown in purple in <xref ref-type="fig" rid="F0005">Figure 5</xref>) could be made available to elephants if artificial water points are established, as they have been in Main Camp, Colchester and Nyathi. Managers can use our resource selection model to test the effects of potential water point placement on predicted probabilities of elephant use in these disconnected areas to assess their suitability for elephant introduction.</p>
<p>We note that although the extrapolative validation of the midday SSF model showed it to be robust to making predictions under different resource availability in the Nyathi section, this does not guarantee that the observed relationships will be maintained elsewhere across the Greater AENP. This may especially be true if elephants modify existing habitats as noted above, which could alter the probability of elephant use in some areas. In addition, our analyses show that elephant resource selection and habitat use patterns in AENP vary throughout the day; thus, maps generated based on midday selection relationships may not reflect the relative probability of use by elephants at all hours of the day. Our predictions should be treated as hypotheses of future use by elephants. Field verification is required to determine how elephant use actually conforms to model predictions as access is expanded. These observations will reveal how vegetation communities change as elephants move into areas from which they have long been absent and may suggest whether additional botanical reserves need to be established to protect rare plants from elephant impacts.</p>
</sec>
</sec>
<sec id="s0012">
<title>Conclusion</title>
<p>Behavioural trade-offs are common in nature. We find this to be true for female elephants in the aseasonal system of AENP, which employ dynamic patterns of resource selection at daily and annual scales to meet their competing requirements for forage, water and other resources. In the summer, selection patterns for vegetation productivity (NDVI), distance to water and slope generally conform to those exhibited by elephants in savanna systems, but these relationships become weaker or reversed in the winter. At daily scales, resource selection by elephants varies in the morning from patterns seen at midday and in the afternoon, likely reflecting temporal reactions of elephants to the trade-off between acquiring sufficient forage and water. These results reinforce the importance of considering dynamic resources in studies of animal selection (McLoughlin et al. <xref ref-type="bibr" rid="CIT0051">2010</xref>). For elephants, future research should expand consideration of daily variability in movement and resource selection from situations relating to human&#x2013;elephant conflict to consider other aspects of resource use.</p>
<p>Protected area managers also seek to balance trade-offs between competing objectives. In AENP, managers must weigh trade-offs between the desires of tourists and the conservation needs of elephants, rare plants and other elements of biodiversity. Our findings provide an opportunity to promote &#x2018;smarter tourism&#x2019;, improving viewing success by guiding tourists towards areas where they are likely to see elephants and improving tourist access infrastructure in such areas, rather than by increasing elephant numbers. In general, areas near waterholes are likely to be highly utilised by elephants at midday and in the afternoon, offering rewarding tourist viewing opportunities, but are less likely to be used by elephants in the morning. The results also offer insights into possible effects of future expansion of elephant access in AENP, predicting where elephant use may concentrate if elephants are given access to new areas. Such information can suggest priorities for detailed assessment of vegetation communities to determine where key areas of rare plants occur prior to elephant access. Such information may allow establishment of new botanical reserves, helping protect plants from elephant impacts and improving the likelihood of sustainable outcomes in the park.</p>
</sec>
</body>
<back>
<ack>
<title>Acknowledgements</title>
<p>The authors would like to thank South African National Parks (SANParks) for providing permission, data and support for this project, especially to Z. Silcock. M. Landman provided helpful background about AENP and its elephants. P. Bradshaw and I. Smit provided GIS data for AENP. R. Wilson and D. Gregovich offered helpful suggestions and R code that improved the analysis. Funding was provided by the Cleveland Metroparks Zoo and Cleveland Zoological Society, National Science Foundation Grant No. 0801544 and NASA Project NNX09AI25G. The Wilderness Society provided support to T.J.F. for the writing of this article. The funders of this work provided financial support but had no role in study design, data collection, analysis or interpretation of results. These actions and the decision to publish were solely at the discretion of the authors. R. Fletcher and three anonymous reviewers provided helpful comments on previous versions of this article. J. Steele facilitated formation of collaborative research between SANParks, the University of Florida and Nelson Mandela Metropolitan University.</p>
<sec id="s20013" sec-type="COI-statement">
<title>Competing interests</title>
<p>The authors declare that they have no financial or personal relationships that may have inappropriately influenced them in writing this article.</p>
</sec>
<sec id="s20014">
<title>Authors&#x2019; contributions</title>
<p>T.J.F. was the project leader and designed and conducted the analysis. A.G. and G.I.H.K. provided elephant telemetry data and offered insightful revisions of the article. P.W. provided guidance with analysis and a thorough revision of the article. G.A.K. and J.S. supervised the project and contributed to the writing and revision of the article.</p>
</sec>
</ack>
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<app id="app001">
<title>Appendix 1: Environmental data description for Addo Elephant National Park</title>
<fig id="F0006">
<label>FIGURE 1-A1</label>
<caption><p>Addo Elephant National Park features an aseasonal climate. (a) Rainfall (mm) during the study period (06 March 2010 &#x2013; 21 March 2013). Rainfall records are aggregated to 16-day periods matching the Normalised Difference Vegetation Index Moderate Resolution Imaging Spectroradiometer composites. (b) Mean Normalised Difference Vegetation Index (solid line) &#x00B1; 1 standard deviation (dashed lines) during the study period. The mean and standard deviation of Normalised Difference Vegetation Index were calculated across the three elephant-accessible sections of Addo Elephant National Park: Main Camp, Colchester and Nyathi. (c) While the rainfall and Normalised Difference Vegetation Index patterns are aseasonal, temperature follows more regular annual patterns.</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="KOEDOE-59-1326-g006.tif"/>
</fig>
<fig id="F0007">
<label>FIGURE 2-A1</label>
<caption><p>Covariate data used as inputs into step selection function models for resource selection by female elephants in Addo Elephant National Park, South Africa. Covariates modelled included (a) Normalised Difference Vegetation Index, (b) distance to artificial water, (c) slope and (d) terrain ruggedness.</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="KOEDOE-59-1326-g007.tif"/>
</fig>
<fig id="F0008">
<label>FIGURE 3-A1</label>
<caption><p>Covariate values differed between the Main Camp &#x2013; Colchester and Nyathi sections for (a) Normalised Difference Vegetation Index (Wilcoxon rank-sum test <italic>W</italic> = 3 517 400, <italic>p</italic> &#x003C; 0.001), (b) distance to artificial water (<italic>W</italic> = 1 270 300, <italic>p</italic> &#x003C; 0.001), (c) slope (<italic>W</italic> = 2 636 900, <italic>p</italic> &#x003C; 0.001) and (d) terrain ruggedness (<italic>W</italic> = 1 871 300, <italic>p</italic> &#x003C; 0.001).</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="KOEDOE-59-1326-g008.tif"/>
</fig>
</app>
<app id="app002">
<title>Appendix 2: Elephant location data summary</title>
<table-wrap id="T0004">
<label>TABLE 1-A2</label>
<caption><p>Descriptive statistics of daily elephant location data recorded in the morning (06:00), midday (12:00) and afternoon (16:00). For each parameter, the mean &#x00B1; s.d. is reported for seven female elephants in Addo Elephant National Park, South Africa.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left">Data set</th>
<th align="center">Recorded locations</th>
<th align="center">Positional dilution of precision<xref ref-type="table-fn" rid="TFN0001">&#x2020;</xref></th>
<th align="center">Daily step length (m)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">06:00</td>
<td align="center">728 &#x00B1; 193</td>
<td align="center">2.4 &#x00B1; 1.3</td>
<td align="center">2151.5 &#x00B1; 1753.4</td>
</tr>
<tr>
<td align="left">12:00</td>
<td align="center">870 &#x00B1; 157</td>
<td align="center">2.0 &#x00B1; 1.1</td>
<td align="center">2127.1 &#x00B1; 1816.9</td>
</tr>
<tr>
<td align="left">16:00</td>
<td align="center">904 &#x00B1; 165</td>
<td align="center">2.0 &#x00B1; 1.0</td>
<td align="center">2267.5 &#x00B1; 1895.0</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="TFN0001">
<label>&#x2020;</label>
<p>, Positional dilution of precision provides a unitless indicator of position accuracy, reflecting how satellite geometry affects the accuracy of a recorded location, with lower Positional dilution of precision values indicating a higher level of accuracy.</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T0005">
<label>TABLE 2-A2</label>
<caption><p>Descriptive statistics of daily elephant location data recorded in the morning (06:00), midday (12:00) and afternoon (16:00). For each parameter, the mean &#x00B1; s.d. is reported for the six female elephants occupying the Main Camp &#x2013; Colchester section of Addo Elephant National Park, South Africa.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left">Data set</th>
<th align="center">Recorded locations</th>
<th align="center">Positional dilution of precision<xref ref-type="table-fn" rid="TFN0002">&#x2020;</xref></th>
<th align="center">Daily step length (m)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">06:00</td>
<td align="center">712 &#x00B1; 206</td>
<td align="center">2.3 &#x00B1; 1.3</td>
<td align="center">1989.7 &#x00B1; 1623.2</td>
</tr>
<tr>
<td align="left">12:00</td>
<td align="center">854 &#x00B1; 165</td>
<td align="center">2.0 &#x00B1; 1.1</td>
<td align="center">1990.8 &#x00B1; 1744.0</td>
</tr>
<tr>
<td align="left">16:00</td>
<td align="center">889 &#x00B1; 176</td>
<td align="center">1.9 &#x00B1; 1.0</td>
<td align="center">2147.5 &#x00B1; 1838.8</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="TFN0002">
<label>&#x2020;</label>
<p>, Positional dilution of precision provides a unitless indicator of position accuracy, reflecting how satellite geometry affects the accuracy of a recorded location, with lower Positional dilution of precision values indicating a higher level of accuracy.</p></fn>
</table-wrap-foot>
</table-wrap>
</app>
<app id="app003">
<title>Appendix 3: Availability sample size sensitivity analysis</title>
<p>Following the guidance of Northrup et al. (<xref ref-type="bibr" rid="CIT0055">2013</xref>), we conducted a sensitivity analysis on the effects of the size of the availability sample on our conditional logistic regression (CLR) coefficient estimates. For each used elephant location, a candidate set of 100 potentially available locations was drawn as described in the main text. We tested seven availability ratios ranging from 1 to 50 available locations per used location (availability ratios = 1, 3, 5, 10, 20, 35 and 50). We fit CLR models using the full time-interacted model (Model 30 in <xref ref-type="table" rid="T0001">Table 1</xref>) with available points randomly selected from the candidate set. This was repeated 100 times for each availability ratio, and the mean coefficient estimate and 95&#x0025; simulation envelope were calculated. The sensitivity analysis was repeated for each of the three daily elephant data sets (morning [06:00], midday [12:00] and afternoon [16:00]).</p>
<p>Simulation results indicated relatively small changes in regression coefficient estimates across varying availability ratios (<xref ref-type="fig" rid="F0009">Figure 1-A3</xref> &#x2013; <xref ref-type="fig" rid="F0011">Figure 3-A3</xref>). Simulation envelopes grew narrower as the availability ratio increased and coefficient estimates tended to stabilise at around 20 available locations per used location. Coefficient estimates for the time-interacted covariates (not shown here) showed similar patterns to the time-independent coefficients. In light of these results, we used an availability ratio of 20 available locations for each used location in subsequent analyses.</p>
<fig id="F0009">
<label>FIGURE 1-A3</label>
<caption><p>Coefficient estimates (black points) and 95&#x0025; simulation envelopes (solid lines) for (a) the Normalised Difference Vegetation Index, (b) distance to water, (c) slope and (d) terrain ruggedness, calculated from 100 conditional logistic regression models fit to varying ratios of available to used elephant locations recorded at 06:00.</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="KOEDOE-59-1326-g009.tif"/>
</fig>
<fig id="F0010">
<label>FIGURE 2-A3</label>
<caption><p>Coefficient estimates (black points) and 95&#x0025; simulation envelopes (solid lines) for (a) Normalised Difference Vegetation Index, (b) distance to water, (c) slope and (d) terrain ruggedness, calculated from 100 conditional logistic regression models fit to varying ratios of available to used elephant locations recorded at 12:00.</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="KOEDOE-59-1326-g010.tif"/>
</fig>
<fig id="F0011">
<label>FIGURE 3-A3</label>
<caption><p>Coefficient estimates (black points) and 95&#x0025; simulation envelopes (solid lines) for (a) Normalised Difference Vegetation Index, (b) distance to water, (c) slope and (d) terrain ruggedness, calculated from 100 conditional logistic regression models fit to varying ratios of available to used elephant locations recorded at 16:00.</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="KOEDOE-59-1326-g011.tif"/>
</fig>
</app>
<app id="app004">
<title>Appendix 4: Elephant predicted use animations</title>
<fig id="F0012">
<label>FIGURE 1-A4</label>
<caption><p>Animation of predicted space use by female elephants in the morning (06:00) in Addo Elephant National Park, South Africa. Predicted use reflects step selection function model predictions to the elephant-accessible Main Camp &#x2013; Colchester section of Addo Elephant National Park for 16-day periods from 06 March 2010 to 21 March 2013, corresponding to the Moderate Resolution Imaging Spectroradiometer composites used for analysis (see the main text for details).</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="KOEDOE-59-1326-g012.tif"/>
</fig>
<fig id="F0013">
<label>FIGURE 2-A4</label>
<caption><p>Animation of predicted space use by female elephants at midday (12:00) in Addo Elephant National Park, South Africa. Predicted use reflects step selection function model predictions to the elephant-accessible Main Camp &#x2013; Colchester section of Addo Elephant National Park for 16-day periods from 06 March 2010 to 21 March 2013, corresponding to the Moderate Resolution Imaging Spectroradiometer composites used for analysis (see the main text for details).</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="KOEDOE-59-1326-g013.tif"/>
</fig>
<fig id="F0014">
<label>FIGURE 3-A4</label>
<caption><p>Animation of predicted space use by female elephants in the afternoon (16:00) in Addo Elephant National Park, South Africa. Predicted use reflects step selection function model predictions to the elephant-accessible Main Camp &#x2013; Colchester section of Addo Elephant National Park for 16-day periods from 06 March 2010 to 21 March 2013, corresponding to the Moderate Resolution Imaging Spectroradiometer composites used for analysis (see the main text for details).</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="KOEDOE-59-1326-g014.tif"/>
</fig>
<fig id="F0015">
<label>FIGURE 4-A4</label>
<caption><p>Animation of predicted space use by female elephants across Addo Elephant National Park, South Africa. Predicted use reflects midday (12:00) step selection function model extrapolations to the full Addo Elephant National Park, including areas that are currently not accessible to elephants. Predictions represent 16-day periods from 06 March 2010 to 21 March 2013, corresponding to the Moderate Resolution Imaging Spectroradiometer composites used for analysis (see the main text for details).</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="KOEDOE-59-1326-g015.tif"/>
</fig>
</app>
</app-group>
<fn-group>
<fn><p><bold>How to cite this article:</bold> Fullman, T.J., Kiker, G.A., Gaylard, A., Southworth, J., Waylen, P. &#x0026; Kerley, G.I.H., 2017, &#x2018;Elephants respond to resource trade-offs in an aseasonal system through daily and annual variability in resource selection&#x2019;, <italic>Koedoe</italic> 59(1), a1326. <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.4102/koedoe.v59i1.1326">https://doi.org/10.4102/koedoe.v59i1.1326</ext-link></p></fn>
</fn-group>
</back>
</article>