©2017.PublishedbyTheCompanyofBiologistsLtd|BiologyOpen(2017)6,118-124doi:10.1242/bio.021055 RESEARCHARTICLE Movement patterns of cheetahs (Acinonyx jubatus) in farmlands in Botswana L.K.VanderWeyde1,2,*,T.Y.Hubel3,J.Horgan1,J.Shotton3,R.McKenna1andA.M.Wilson3 ABSTRACT potentialadaptionstotheseenvironmentsmayrevealhowcheetah behaviouronfarmlandsmaydifferfromthatobservedinthemore Botswanahasthesecondhighestpopulationofcheetah(Acinonyx commonlystudied protected areas (Durant et al., 2004; Kellyand jubatus)withmostlivingoutsideprotectedareas.Asaresult,many Durant,2007).Insightoncheetahspatialecologyinfarmlandswill cheetahs are found in farming areas which occasionally results in enable improved methods in human-wildlife conflict mitigation, a human-wildlife conflict. This study aimed to look at movement vitalcomponentofcheetahsurvivalintheseareas. patternsofcheetahsinfarmingenvironmentstodeterminewhether Botswana has the second largest population of cheetah and cheetahshaveadaptedtheirmovementsinthesehuman-dominated retains large connecting habitats across the country (Klein, 2007; landscapes.Wefittedhigh-timeresolutionGPScollarstocheetahsin Purchase et al., 2007) with 38% of the land set aside for wildlife the Ghanzi farmlands of Botswana. GPS locations were used to utilisation (Winterbach et al., 2015). Cheetahs, like other large calculatehomerangesizesaswellasnumberanddurationofvisitsto carnivores, have large home ranges, but despite several protected landscape features using a time-based local convex hull method. areas being large enough to accommodate these ranges, cheetahs Cheetahshadmedium-sized homerangescomparedtopreviously exist at low densities in these areas (Klein, 2007) and are more studiedcheetahinsimilarfarmingenvironments.Resultsshowedthat commonlyfoundinnon-protectedareas.Studiesofcheetahhome cheetahs actively visited scent marking trees and avoided visiting rangeshaveshownlargevariabilityinsize,primarilyasafunction homesteads.Aslightpreferenceforvisitinggamefarmsovercattle ofpreyavailability,habitat,sexandinterspecificcompetition(Caro, farms was found, but there was no difference in duration of visits 1994;Durant,2000).Earlycheetahstudiesinlargeopenprotected betweenfarmtypes.Weconcludethatcheetahsselectedforareas habitats,suchastheSerengetiNationalPark,revealedaveragehome thatareimportantfortheirdietaryandsocialneedsandprefertoavoid range sizes around 700km2 for non-resident males and around human-occupied areas. Improved knowledge of how cheetahs use 800km2forfemales(Caro,1994).Conversely,insimilarprotected farmlands can allow farmers to make informed decisions when habitatsintwofencedSouthAfricannationalparks,homerangesof developingmanagementpracticesandcanbeanimportanttoolfor lessthan 200km2for bothsexeswererecorded (Broomhall et al., reducinghuman-wildlifeconflict. 2003;Welchetal.,2015).Inthesecases,cheetahresidencystatusor KEYWORDS:T-LoCoH,Homerange,Resourceselection, preyavailabilityandtheirmigratorypatternsmayberesponsiblefor Non-protected,Human-wildlifeconflict thedifferinghomerangesizes.Thenon-protectedareasfavouredby cheetahsinsomeregionsmaybeduetotheloworlackofpresence INTRODUCTION oflargercompetitorssuchaslion(Pantheraleo)andspottedhyaena Cheetah populations continue to decline worldwide, despite (Crocuta crocuta). The presence of these competitors has been conservation efforts and increasing knowledge of cheetah showntoaffecttemporalandspatialmovementofcheetahs(Bissett ecology. Key drivers of decline include habitat loss, disease and et al., 2015; Cristescu et al., 2013; Durant, 2000), with cheetahs persecution, which is widespread in much of southern Africa activelyavoidingareasandmovingawayfromlargercompetitors. (Purchaseetal.,2007).Infarmingareas,wherecheetahshavebeen Whilstcheetahsoccupyingareaswithlowinterspecificcompetition shown to occur in relatively high densities (Klein, 2007; Marker mightbeexpectedtohavesmallerhomeranges(astheneedtoavoid et al., 2003), they must co-exist with humansto survive, but how more competitive species is reduced), this is not always the case theymayadapttheirmovementsandbehavioursintheselandscapes (Purchase and du Toit, 2000). Similarly, in Namibian farmlands is not well understood. Knowledge of both broad-scale and with low densities of large carnivores (Marker et al., 2008a), the fine-scale movement patterns that show selection or avoidance of home range sizes of cheetahs are exceptionally large, averaging both natural and man-made features is important for cheetah 1600km2. Furthermore, the authors found that these large home conservation in farming areas (Kent, 2011). Understanding rangeswerenotrelatedtosex,socialstatusorseason.Infarmlands ofBotswana,malecheetahhomerangesaveraged668km2(Houser et al., 2009a), smaller than those found in Namibia, but still 1CheetahConservationBotswana,B5,KgaleSidingOfficePark,Plot1069-KO, Gaborone,Botswana.2SanDiegoZoo,InstituteforConservationResearch,15600 considerably larger than the male home ranges of 190-310km2 SanPasqualValleyRoad,Escondido,CA92027-7000,USA.3StructureandMotion observedinSouthAfricanranches(MarnewickandCilliers,2006). Laboratory,RoyalVeterinaryCollege,UniversityofLondon,HatfieldAL97TA,UK. These findings suggest that whilst the low density of large *Authorforcorrespondence([email protected]) competitive carnivores in farmlands may have some effect on en ranging patterns of cheetahs, prey availability may be more p L.K.V.,0000-0003-0981-8856 influential(Houseretal.,2009a). O ThisisanOpenAccessarticledistributedunderthetermsoftheCreativeCommonsAttribution Farming environments, such as those in the Ghanzi district of gy License(http://creativecommons.org/licenses/by/3.0),whichpermitsunrestricteduse, Botswana, generally contain resources such as permanent water o distributionandreproductioninanymediumprovidedthattheoriginalworkisproperlyattributed. l sourcesnecessaryforlivestock,andnaturallyoccurringpreyspecies o i Received2August2016;Accepted30November2016 which are attractive to predators (Marker-Kraus and Kraus, 1994; B 118 RESEARCHARTICLE BiologyOpen(2017)6,118-124doi:10.1242/bio.021055 Winterbach et al., 2015). However, farmlands are also highly (0.75±0.05 s.e.m.). Home range sizes varied between the four modified landscapes and movement of livestock or game is individual cheetahs (Table 1) depending on the method of home regularly managed, leading to regular human presence across the range analysis. Home range differences between individuals were farms.Furthermore,infrastructurelikethepresenceofhomesteads expectedastheperiodofcollaringtimevariedbetweenindividuals. (farm houses) and artificial barriers such as roads and fences will Based on existing knowledge of cheetahs seen on cameratraps in also likely affect wildlife movement, even if they do not directly thearea,M1,M2andM4areconsideredresidentmalesandM3a impedeit (BoastandHouser,2012;FormanandAlexander,1998; non-resident.Asoursamplesizewasverysmall,itwasnotpossible Hayward and Kerley, 2012). Prey availability may also vary toconductanystatisticalanalysescomparinghomerangesbasedon according to farm type. Game farms have higher numbers of residencystatus;however,itisclearthatthelargesthomerangewas antelopespeciesthancattlefarms(BoastandHouser,2012),andthe that of the non-resident male despite having the shortest collaring medium-sizedpreyspeciespreferredbycheetahs(Boastetal.,2016; period and the smallest number of fixes. The minimum convex Haywardetal.,2006) mayalsovaryindensitydependingonfarm polygon (MCP) method produced much higher home range type.Thechanginglandscapesinfarmingareasdueto presenceof estimates than either the kernel density estimator (KDE) or livestock and resultant overgrazing, increases in food and water time-localconvexhull(T-LoCoH)methods. availability,andreducedpressurefromcompetitors(Mcvittie,1979) are very likely to result in changes in cheetah behaviour and Multilevelmeta-analysis movementcomparedwiththosefoundinprotectedareas. All models showed asignificant amount ofresidual heterogeneity The objective of this study was to examine how cheetahs may (highQstatistic,P<0.001)implyingthatthepredictorswetesteddo haveadaptedtheirmovementinthesefarmlandsbyusinghigh-time not account for large amounts of between-individual variance in resolutionGPScollarsthatcanrecordfinescalemovements(Hubel effectsizes.Despitecheetahscomingfromthesamepopulationin et al., 2016a; Wilson et al., 2013). In particular, we set out to this study, there were large differences in effect sizes between determinehomerangesizesofcheetahsinthesenon-protectedareas individuals.Estimatedcoefficientsforaveragedurationofvisitand andevaluatefactorsthatmayinfluencesize.Wealsoaimedtoassess numberofvisitsforeachofthethreedistancepredictorsproduced whether cheetahs selected or avoided particular natural resources, byeachmodelareshowninTable2. artificial structures, locations within farms and farm type by evaluating visitation and duration rates. Scent-marking trees Visitation (hereafter marking trees) were selected as a natural resource as When analysed separately, the numberof visits were significantly theyare highlysought out by cheetahs (Marker-Kraus and Kraus, affectedbydistancetomarkingtrees(z=−2.40,P=0.02),withthe 1994);homesteadlocationswereselectedasartificialstructures;the highest number of visits in areas close to marking trees (Fig. 1). centrepointsoffarmswereusedasalocationvariableandwealso Therewassome degreeofresidual variabilitybetweensubjectsin compared cattle and game farms. To determine selection or numberof visits at marking trees (τ2=1.48±1.22 s.d.). Distance to avoidance we used a time-based local convex hull method that homesteads was significantly positively associated with visitation can be used to determine visitation and duration rates from GPS rates (z=6.44, P<0.01). Cheetahs visited areas further away from telemetrydata(Lyonsetal.,2013).Thefollowinghypotheseswere homesteadsmostoftenbutshowedvariabilitybetweenindividuals tested:(a)cheetahhomerangesareaffectedbyresidencystatus;(b) in visits directly at homesteads (τ2=0.66±0.81 s.d.). Similarly, preferrednaturalresourceswillbevisitedmoreoftenandforlonger distance to centre of farms was also positively associated with periodsthanareasofhumanhabitation;(c)locationpreferenceswill visitation rates, but this was not significant (z=0.41, P=0.68). have an effect more on duration than visitation rates, and (d) Residualvariabilitybetweenindividualsonthenumberofvisitsat visitationfrequencyanddurationishigherongamefarmsthancattle thecentreoffarmswashigh(τ2=1.04±1.02s.d.). Ineachofthese farms. cases, all heterogeneity between subjects in the slopes was explained by the predictor as shown by τ2=0 in each case. In our RESULTS global model analysis, where we incorporated all predictors Home-rangeanalysis associated with distance, only distance to marking trees had a Individualscheetahusedonaverage21±6s.d.farms(range13–39), significantnegativeeffect(z=−3.31,P<0.01).Therewasalsosome withindividualM3rangingoverthegreatestnumber(39)offarms. degree of variability between individuals in visitation rates at Averagefarmsizewas68.7km2±31s.d.(range12.4–272.5)witha markingtrees(τ2=0.9). totalof64farmsbeingvisitedbyatleastonecollaredcheetah.Of Gamefarmswerevisitedmoreoftenbycheetahthancattlefarms, these,20farmswerevisitedbyatleasttwoofthecollaredcheetahs. butthiseffectwasnotsignificant(z=1.58,P=0.11).Theamountof The average proportion of game farms (0.25±0.05 s.e.m.) used unexplainedvariabilitybetweencheetahswasτ2=0.60(±0.78s.d.) by the cheetahs was lower than the proportion of cattle farms for cattle farms and τ2=0.11 (±0.34 s.d.) for game farms, after Table1.Homerangeestimates(km2)fromfourGPScollaredcheetahsAcinonyxjubatustrackedintheGhanzidistrictofwesternBotswana MCP KDE* T-LoCoH‡ Subject Status Totalnumberoffixes Numberofdays 50% 95% 50% 95% 50% 95% n e M1 Resident 32,197 165 554 1248 153 734 91 344 p M2 Resident 35,080 189 152 615 68 425 84 390 O M3 Non-resident 1445 77 1212 2270 725 3248 365 1008 y M4 Resident 2906 82 209 328 94 419 42 166 g o Methodsusedwereminimumconvexpolygons(MCP),fixedkerneldensityestimators(KDE)andtime-localconvexhulls(T-LoCoH). l o *KDEbasedonasmoothingparameterof80%ofthehref. i ‡T-LoCoHcalculatedusingtheamethod. B 119 RESEARCHARTICLE BiologyOpen(2017)6,118-124doi:10.1242/bio.021055 Table2.Estimatedcoefficientsoftheinterceptandslope(β)foreachof threetestedpredictorsontheresponsevariablesdurationandnumber ofvisits Duration Visitation Variable Est.coef 95%CI Est.coef 95%CI Markingtree Intercept 13.63 7.38-25.15 10.44 3.16-34.44 β 1 0.99-1 0.99 0.99-1 Homestead Intercept 13.92 8.25-23.47 5.04 2.27-11.20 β 1 0.99-1 1 1-1 Centreoffarm Intercept 12.13 9.43-15.51 7.25 2.66-19.76 β 1 1-1 1 0.99-1 Coefficientsand95%confidenceintervals(CI)areback-transformedresults Fig.2.Predicteddurationofvisitasafunctionofdistancetomarking fromeachoftheindividualmodels. trees,homesteadsandcentralpointsoffarmsforfourcollaredcheetahs (Acinonyxjubatus)infarmlands,Botswana.Datawereanalysedusinga accountingforfarmtype.Thelargestandarddeviationsimplylarge two-stagemultilevelmeta-analysis.Therewasnosignificanteffectofdistance differencesbetweencheetahsinthenumberofvisits. toeachofthesefeaturesonduration(P>0.05). Duration for this effect, but it was not due to sex or differences in prey Periodsofdurationwerenotaffectedbyanyofthevariableswhen availability as all cheetahs’ utilised similar proportions of game testedindependentlyinthisstudy(Fig.2).Distancetomarkingtrees and cattle farms. Despite our relatively short collaring periods, (z=0.20, P=0.84), homesteads (z=−0.46, P=0.65) and centre of due to the high resolution collars used, home ranges were similar farms (z=0.86, P=0.39) were all non-significant. In all cases the to those in previous studies in farming areas in Botswana variability between individuals (τ2 below 0.4) and in the slopes (Houser et al., 2009a), smaller than those reported in Namibia (τ2=0) was low. However, when incorporaating all variables, (Marker et al., 2008a), and larger than those in South Africa distance to marking trees was significantly positively associated (MarnewickandCilliers,2006).Disparityinhomerangesizeacross with duration rates (z=2.1, P=0.04), but neither distance to farming environments suggest that differing levels of available homestead orcentreof farms had anyeffect. Variability washigh resources, such as water, prey and level of conflict, may be betweenindividuals(τ2=1.36). responsible for large scale variability (Marker et al., 2008a), but Duration periods were not affected by farm type (z=−1.04, within specific regions other factors such as status may still be P=0.3), with cheetahs showing no preference for cattle or game important. farms. There was a larger amount of remaining residual variation Non-protectedareassuchasfarmlandsprovideresourcesthatare betweencheetahsongamefarms(τ2=0.16±0.4s.d.)thanoncattle importantforcheetahbehaviourandhabitatuse.Markingtreeswere farms(τ2=0.02±0.13s.d.). highlyvisitedbyallcheetahswhentheywerewithinanaveragedaily distanceofthese.Markingtreesareanimportantresourceformale DISCUSSION cheetahs.Malesmarkthesetreesthroughurinationorclawingand Cheetah home range sizes in this study may vary as a function thisisconsideredtobeawaytoadvertisearesident’sterritory(Eaton, of residency status, with a single non-resident cheetah showing 1970; Marker-Kraus and Kraus, 1994; Marnewick et al., 2006). asubstantiallylargerrangingsizecomparedwithresidentcheetahs. Although cheetahs regularly re-visited marking trees, duration Our small sample size did not allow valid statistical conclusions periods were similar or even shorter at these sites compared with areasfurtherawayfromthesesites.Similarly,durationperiodwasnot influencedbydistancetohomesteads,butasweexpected,cheetahs avoidedvisitinghomesteads.However,generalspatiallocationssuch ascentralpointsoffarmsdidnotinfluenceeithervisitationorduration periodsbycheetahs.Withinthestudyarea,cheetahsshowedaslight preference for visiting game farms more often than cattle farms, despite the much lower proportion of game farms used by these cheetahs.Thispreferencewasnotsignificant,mostlikelyasaresultof our small sample size and variability in visitation rates between cheetahs. Game farms generally have greater species-richness than cattle farms. Density and abundance of preferred prey species for cheetahinthisarea,suchasduiker(Sylvicapragrimmia),steenbok (Raphiceruscampestris)andgreaterkudu(Tragelaphusstrepsiceros) n (Boast and Houser, 2012; Boast et al., 2016) may vary depending e onfarmtype.Forexample,thedensityofduikerhasbeenfoundto p O be higher on cattle farms, whereas steenbok density was higher Fig.1.ThepredictednumberofvisitsofcheetahsAcinonyxjubatus(n=4) y ongamefarms,buttherewasnodifferenceforkudu(Kent,2011). g inresponsetothedistancefrommarkingtrees,homesteadsandcentral If prey availability is equally spread across both farm types, then o pointsoffarms.Atwo-stagemultilevelmeta-analysiswithrandomeffectswas l this mayexplain similar durationperiods foundbetween cattleand o usedtomodelthedata.Visitstomarkingtreesandhomesteadswere i significantlyaffectedbydistancetothesefeatures(P<0.05). gamefarms. B 120 RESEARCHARTICLE BiologyOpen(2017)6,118-124doi:10.1242/bio.021055 Other variables such as roads and fences are also likely to co-exist with predators. In this small-scale study, wewere able to influence the movement of cheetah in farmlands. For example, showdetailedspatialmovementsinfarmlandsusinghighresolution roadshavebeenshowntoinfluencethemovementofAfricanwild GPS collars. This technology is relatively new and has not dogs (Lycaon pictus). During travelling periods, particularly in previously been used to detail fine scale movement patterns dense environments, roads were actively used to enhance showing selection or avoidance of landscape features in these movement, but avoided during resting periods (Abrahms et al., environments.Scent-markingtreeshavebeenshowntobeahighly 2015). However, roads have also been shown to negatively affect selectedresourceformalesasshownbyrevisitationrates.Similarly animalmovementsthroughavoidancebysomespecies,increasing homesteadsareactivelyavoidedasshownbylowvisitationratesto habitatfragmentationandmortality(FormanandAlexander,1998). these areas. We found a slight preference for visitation to game Althoughtheextentofroadsmaybesimilarinfarmlandswiththose farms compared with cattle farms, but duration rates were not in some protected areas, the additional construction of fences in affected by farm type. A better understanding of predator farmlands is likely to provide another potential factor influencing movements in highly human-dominated landscapes is necessary movement. In one study, a single fence was shown to affect lion to assist with developing novel conflict mitigation measures and movement,butwasmorepermeabletospottedhyaena,wilddogand farmmanagementpractices,asameanstoconservethesespecies. cheetah(Cozzietal.,2013).However,thehighdensityoffencesin farmlandsandtheireffectoncheetahmovementisunknown,astoo MATERIALSANDMETHODS fewfarmswithadequateroadandfencelocationswereavailableto Area beinvestigatedinthisstudy.Recentstudieshaveshownimportant ThestudywasundertakenintheGhanzidistrict,Botswana,anareaconsisting new insights into cheetah hunting strategies in protected areas ofcommunalandcommercialfarmsaswellaswildlifemanagementareas (WMAs). The area is considered one of the most important areas linking (Wilsonetal.,2013)andsimilarinformationisneededforcheetah cheetah populations between Botswana and Namibia (Winterbach et al., in farmlands, where the landscape and habitat can vary 2015).Thestudyareafocussedonthecommercialfarmingblockmadeupof considerably. Such information will provide valuable insight into morethan200cattleorgamefarms.Thehabitatisprimarilymadeupoflow understanding adapted hunting strategies in these environments, treeandshrubsavannahandreceiveslowannualrainfall(400mm/year).Most and highlight potential differences in hunting dynamics and kill waterintheareaisartificiallypumpedviaboreholesorfoundinnaturalpans ratesbetweennaturalpreyandlivestock.Thisinturnmaybeuseful duringtherainyseasonwithnopermanentsurfacewater(ColeandBrown, indevelopingmeasurestomitigatelivestockloss. 1976).ForfurtherdescriptionseeKent(2011)andHouseretal.(2009b). Forcheetahsto co-exist in human-dominated environments,itis likelythattheymayneedtoadapttheirmovementstoavoidhuman Animalcollaring activitywhilststillutilisingareasthatareimportantfortheirdietary ApprovalfortheresearchstudywasprovidedbytheBotswanaMinistryof and behavioural needs, as we have shown here. In order to help Environment, Wildlife and Tourism and Department of Wildlife and conservecheetahandmitigatethehuman-wildlifeconflictthatishigh NationalParksonpermitnumberEWT8/36/4.Theworkwasapprovedby theRVCEthicsandWelfareCommittee(LOCATE2013-1233). infarmlands(Markeretal.,2003;Purchaseetal.,2007),itisvaluable CheetahsintheGhanzifarmlandshavebeenmonitoredbyresearchersfor to know what areas orresources mayattractordetercheetahs.The several yearsthrough the useofcameratraps atidentified marking trees. importance of marking trees to cheetahs has been exploited by This long-term monitoring has allowed researchersto determinewhether researchersassitesthatprovidevaluablemonitoringandpopulation cheetahsobservedattheselocationsareresidentornon-residentindividuals. assessment data (Marker et al., 2008b; Marnewick et al., 2008). Seven cheetahs were fitted with high-time resolution GPS collars by a However, marking trees have also been associated with negative veterinaryspecialistinAugust2014withadropoffdateforFebruary2015. attitudesandhavebeenusedbyfamersasawaytolocateandremove Data were collected for an average of 128days per individual (range cheetah(Markeretal.,2003;Mcvittie,1979).Inthisstudywehave 77-189days).Twocheetahsweresinglemales,threewerefromacoalition highlightedthatcheetahactivelyvisitthesetreesandthisinformation offourandtwowereindividualsfromcoalitionsoftwo.Fromtheseven canassistinhelpingfarmingmanagementpractices,suchasadjusting collaredcheetahsonlyfourwereusedforanalysis;onesinglemale(M3), twofromseparatecoalitionsoftwo(M1andM4)andonefromthecoalition movementsoflivestockorconstructionofkraalstoavoidtheseareas. offour(M2).Asthethreecollaredmalesfromthecoalitionoffourstayed Similarly, as cheetah showed a preference for visiting game farms within100mofeachotherfor80%oftheGPSfixes(Hubeletal.,2016a) comparedwithcattlefarms,maintaininghighlevelsofsmallnatural thesewereconsiderednon-independent;onecollarfromasinglemalefailed preyonthesefarmsmayhelpreduceconflict.Astudyassessingprey tocollectdataaftertwoweeks. baseforcheetahacrossBotswanafoundthatmaintaininga20%wild preybiomassinfarmingareascansubstantiallyreducethepotential Collarconfiguration for human-wildlife conflict (Winterbach et al., 2015). As non- Royal Veterinary College (RVC) high-time resolution GPS collars were protected areas such as farmlands provide valuable resources like designedtocollectdatatostudymovementpatternsandhuntingbehaviour. prey, water and marking trees for cheetahs, knowledge of spatial The collars contain a GPS receiver which provides highly accurate movements can provide valuable information in understanding positional data. This enablesthe cheetahs’ movements and activity to be cheetah habitat utilisation, which can assist with improved tracked over time and space in great detail. In order to manage power measuresthathelppeopleco-existwiththesecarnivores.Therefore, consumptioneffectively,thecollarsweresettoswitchdynamicallybetween further studies on farmland cheetahs are needed to provide three different operating states depending on the animal’s activity level informationtomanageand protect highpopulations intheseareas. (Hubelet al., 2016b;Wilsonet al., 2013). Activity levels were basedon accelerometermeasurements.Atlowactivity,whentheanimalwasdeemed n This study has established some important characteristics of e toberesting,hourlyfixeswererecorded;withincreasedactivity,thesample movement behaviour by cheetah, but there is still much to be p rateincreasedto5minfixes.Whentheanimalwasjudgedtoberunningthe O learnedtofacilitateco-existenceandprotectionofthespecies. GPS rate increased to 5Hz. The datawereretrieved by downloading via y externaldownloadboxesplacedatmarkingtreesordirectlyfromthecollar g Conclusions when retrieved following pre-timed automatic drop-off (Sirtrack Ltd., o l As cheetahs continue to utilise and rely on non-protected areas, Havelock North, New Zealand). In this study, the main objectivewasto o i human-wildlife conflict will persist until we are better able to studymovementpatternsutilisingGPSpointsrecordedbythecollars,but B 121 RESEARCHARTICLE BiologyOpen(2017)6,118-124doi:10.1242/bio.021055 notallofthehigh-samplerateofpointswasrequired.Assuch,thenumberof pointsusedwereadjusteddependingontheparticularanalysisasdescribed below. Homerangeanalysis Homerangeanalysisusingminimumconvexpolygons(MCP)(Jenrichand Turner,1969)andfixedkerneldensityestimates(KDE)werecalculatedinR (R Core Team, 2015) using the adehabitat package (Calenge, 2015). CalculationofMCPsat50%and95%usedallGPSdatapointscollectedper individual.ForKDEofhomerangeat50%and95%,weusedjustasingle dailyGPSfixchosenclosestto12:00AMtomeettheindependenceofdata assumption.SmoothingparametersforKDEanalysiswerefirsttestedusing least-squarescrossvalidation(LSCV)whichgivestheleastbiasedestimates (SeamanandPowell,1996),butastheydidnotconvergeinallcases,we adjusted our analysis to using the reference bandwidth parameter (href). However,asthehrefcanoftenoversmoothdata,wechosetouse80%ofthe hrefvalueasabetterestimateofsmoothing(Kieetal.,2010).GPSlocations were incorporated into ArcMap 10.3.1 (ESRI, Redlands, CA, USA) to generatehomerangemaps. Calculationofvisitationanddurationrates TheR packageT-LoCoH(Lyonset al.,2013)wasusedtocalculatetwo dependentvariables:visitationrate(numberofseparatevisitstoahull)and duration of visits (mean numberof points per hull) using GPS locations recordedbyeachcollar.AllGPSpointswereusedineachdatasettocheck foroutliersandadjustedtolocaltime.GPSpointswerethenthinnedtoone perhourtomaintainconsistencyofpointsacrosseachindividual.T-LoCoH creates a minimum convex hull around each data point combining both temporalandspatialdistancesbetweentwopoints.Atime-scaleddependent (TSD)variablesisdeterminedbasedonbalancingbothtimeandspace.Low valuesofsindicatetimehavinglittleimportance.Todeterminesweplotted differentvaluesofsoverarangeofdifferenttimevalues(range12-96h). s values were chosen at 24h periods as time and space were mostly equalisedinallcases.Time-basedlocalconvexhullscanbecreatedusing thekmethod(setnumberofnearestneighbourpoints),rmethod(nearest Fig.3.GPSlocationsofonecollaredmalecheetah(M2)Acinonyx neighbours in a radius r) or a method (both time and distance are jubatus,scent-markingtrees,homesteadsandthecentrepointoffarms, incorporated).Wechosetheamethodasthiscantakeintoaccountareas inafarmingareaofwesternBotswana. wherepointsmaybethinandscattered,forexamplewhenanindividualmay enter areas not commonly used (Lyons et al., 2013). Creation of local convexhullswascompletedbyfollowingmethodsdescribedinLyonsetal. Dataanalysis (2013)andtheassociatedTutorialandUsersGuide.Althoughcollarswere As GPS data generates multiple response outputs per individual, it is settorecordatregulartime intervals, therewereirregularities insatellite necessarytoaccountforcorrelationindatapointsperindividual.Mixed- acquisitionsbetweencollars,aswellaslengthofcollaringperiods,which effectmodelsusingsubjectasarandomfactorcanaccountforcorrelated led to differences in the number of fixes per individual. Therefore we datapoints,howeveritisnotrecommendedforrandomeffectsinwhichthe generated a values separately for each cheetah. Local convex hulls were numberoflevelsislessthanfive(Bolkeretal.,2009).Therefore,wechose sortedbytime-usemetricsusinganinter-visitgap(IVG)periodof12hand touseasimplertwo-stageapproachthatiseffectiveinmodellingcorrelated thiswasusedtocreateindependentvisitationanddurationrates.Time-based dataandapplicabletoourlargedatasets(Fiebergetal.,2010;Gelman,2005; localconvexhullscanalsobeusedtogeneratehomeranges.Takinginto Murtaugh, 2007).In R we usedthe package lme4 (Bateset al., 2015)to account the temporal nature of location datacan be argued to be a more perform linear (LM) and generalised linear (GLM) regression models to suitablemethodforcorrelateddatapoints(FieburgandBörger,2012;Lyons analyse the relationship of duration and visitation rate to a set of three etal.,2013),wealsogeneratedhomerangeestimatesforcomparisonwith distance-related predictor variables (distance to marking tree, distance to traditionalestimatesusingMCPandKDEmethodsasdescribedabove. homestead,distancetocentreoffarm)andalsofarmtype.Aswehadsubset ourdatatoamaximumof6kmdistances(forthedistancevariables),this Incorporationoflandscapefeatures effectivelyremovedsomedatapointsintheothertwopredictors.Aswedid Shapefilesthatrecordedpreviouslyidentifiedmarkingtrees,homesteads, not wish to lose valuable information per variable, we chose to run our centrepointsoffarmsandfarmtypewereincorporatedintoArcMap(Fig.3) modelsseparatelyforeachfixedfactor.However,wealsoranaglobalmodel asspatialvariablesofinterest.Otherpotentialinfluentialfeaturessuchas incorporatingallthedistance-relatedvariablestodeterminewhetherwestill boreholesandroadswerenotavailableforthemajorityoffarmsusedand obtainedsimilarresultsdespitethelowersamplesize.Forstage1,eachof were not included in this study. We calculated the distance of each GPS the fourcheetahs were modelled separately foreach of the fixed factors. pointtothenearestofeachofthevariables.Aswedidnotknowallpossible Each model was checked for normality and deviances from markingtreesorhomesteadsinthestudyarea,werestrictedthedatasettoa homoscedasticitywerecheckedbyvisualinspectionofresidualplots.The n e maximum range of 6km for each for these variables. This distance response variable duration was log transformed where necessary. As p represents an average daily travel distance for males in this area (Houser visitationisacountvariableweusedthePoissondistribution,withalog-link O etal.,2009a),whichallowedustolookattheeffectofavoidanceorselection function.OverdispersionwascheckedusingtheAERpackage(Kleiberand y when cheetahs were within an average daily distance from each feature. Zeileis,2008)andinthesecaseswecorrectedthestandarderrorsusinga g o Mixedfarms(cattleandgame)representedonlyasmallfractionofthefarms quasi-GLMmodel.Wecreatedvectorsofmodelcoefficientsandablock l in the area and were removed from our analysis to increase power and variance-covariancematrixforeachofthetwopredictors.Instage2weused o i simplifytheanalysis. the package metafor (Viechtbauer, 2010) to conduct a multilevel meta- B 122 RESEARCHARTICLE BiologyOpen(2017)6,118-124doi:10.1242/bio.021055 analysisusingthemodelcoefficients(interceptandslope)againsteachof Broomhall,L.S.,Mills,M.G.L.andduToit,J.T.(2003).Homerangeandhabitat the response variables. A random effect of subject of both intercept and usebycheetahs(Acinonyxjubatus)intheKrugerNationalPark.J.Zool.261, slope was also added to the model. Coefficients were allowed to be 119-128. Calenge, C. (2006). The package adehabitat for the R software: atool for the heterogeneous and correlated using an unstructured variance-covariance analysisofspaceandhabitatusebyanimals.Ecol.Model.197,516-519. matrix.TheQstatisticwasusedtotestwhethereffectsizesbetweensubjects Caro, T. (1994). Cheetahs of the Serengeti Plains - Group living in an Asocial arehomogenoususingthechi-squaredistribution.Aτ2statisticisproduced Species.Chicago:UniversityofChicagoPress. accountingfortheamountofvariabilityamongeffectsizesnotaccounted Cole,M.M.andBrown,R.C.(1976).ThevegetationoftheGhanziareaofwestern forbythepredictorvariable.τ2valuesequaltozeroinmixed-effectmodels Botswana.J.Biogeogr.3,169-196. 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