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  <front>
    <journal-meta><journal-id journal-id-type="publisher">WE</journal-id><journal-title-group>
    <journal-title>Web Ecology</journal-title>
    <abbrev-journal-title abbrev-type="publisher">WE</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Web Ecol.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1399-1183</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/we-23-17-2023</article-id><title-group><article-title>Spatio-temporal patterns of co-occurrence of tigers and leopards within a protected area in central India</article-title><alt-title>Spatio-temporal co-occurrence patterns of tigers and leopards</alt-title>
      </title-group><?xmltex \runningtitle{Spatio-temporal co-occurrence patterns of tigers and leopards}?><?xmltex \runningauthor{A. Bidisha Chatterjee et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Chatterjee</surname><given-names>Anindita Bidisha</given-names></name>
          <email>aninditabidisha1@gmail.com</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Sankar</surname><given-names>Kalyansundaram</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Jhala</surname><given-names>Yadvendradev Vikramsinh</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Qureshi</surname><given-names>Qamar</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Population Management, Capture and Rehabilitation, Wildlife Institute of India, <?xmltex \hack{\break}?> Dehradun, Uttarakhand  248001, India</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Ex-director, Salim Ali Centre for Ornithology and Natural History, Coimbatore, Tamil Nadu 641108, India</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Animal Ecology and Conservation Biology, Wildlife Institute of India, <?xmltex \hack{\break}?> Dehradun,  Uttarakhand  248001, India</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Anindita Bidisha Chatterjee (aninditabidisha1@gmail.com)</corresp></author-notes><pub-date><day>3</day><month>February</month><year>2023</year></pub-date>
      
      <volume>23</volume>
      <issue>1</issue>
      <fpage>17</fpage><lpage>34</lpage>
      <history>
        <date date-type="received"><day>10</day><month>February</month><year>2022</year></date>
           <date date-type="rev-recd"><day>19</day><month>November</month><year>2022</year></date>
           <date date-type="accepted"><day>12</day><month>December</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 Anindita Bidisha Chatterjee et al.</copyright-statement>
        <copyright-year>2023</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://we.copernicus.org/articles/23/17/2023/we-23-17-2023.html">This article is available from https://we.copernicus.org/articles/23/17/2023/we-23-17-2023.html</self-uri><self-uri xlink:href="https://we.copernicus.org/articles/23/17/2023/we-23-17-2023.pdf">The full text article is available as a PDF file from https://we.copernicus.org/articles/23/17/2023/we-23-17-2023.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e123">The global decline of large carnivore populations warrants scientific
insights into intraguild relationships. Patterns of co-occurrence among
sympatric predators are governed by their density, distribution, diet,
activity overlaps, and behavioural strategies. Tigers are sympatric with
leopards across their distribution range, overlap substantially in their
diet, and are both nocturnal. The subdominant leopard is believed to coexist
with tigers via several mechanisms like spatial segregation, temporal
avoidance, and differential prey selection. Investigation of
spatio-temporal patterns of co-occurrence of tigers and leopards can provide
insights on mechanisms that permit coexistence. We used camera trap-based
photo captures of tigers and leopards in prey-rich (<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mn mathvariant="normal">58.15</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.61</mml:mn></mml:mrow></mml:math></inline-formula>
ungulates per <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) Pench Tiger Reserve to determine their spatio-temporal
patterns of co-occurrence. Spatially explicit density estimates of tigers
were approximately 5 per 100 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and leopards were approximately 4.5 per
100 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and remained stable over the years. This implies that both these
co-predators are likely to attain carrying capacity within the study area.
Areas with high tiger density had lower leopard density. Quantile regression
analysis between tiger and leopard density at <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> km grid showed that
leopard density had a parabolic relationship with tiger density, initially
increasing with tigers (<inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.393</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>), stable at medium tiger
density (<inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.15</mml:mn></mml:mrow></mml:math></inline-formula>), and declining at high tiger densities
(<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.37</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>). Both tigers and leopards were
crepuscular in nature with no temporal segregation (<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">89</mml:mn></mml:mrow></mml:math></inline-formula> %).
Time lag of consecutive leopard photograph after a tiger capture ranged
between 0.002 to 36.29 d. Leopard use of trails was not related to use by tigers. Our results suggest that leopards adjust their usage of space
at fine scales to avoid confrontations with tigers. We also observed high
temporal overlap and no spatio-temporal segregation between tigers and
leopards, despite the two predators being nocturnal and having similar prey
choices. The availability of ample prey within the study area is likely to
be the driving factor of the co-occurrence of tigers and leopards within
this dry deciduous habitat of central India.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e280">Large carnivores at the apex of the trophic pyramid inherently occur at low
densities, compete with human interests, and are therefore one of the most
difficult taxa to conserve (Cardillo et al., 2004; Ripple et al., 2014). Large
carnivores play a crucial role in structuring ecosystems and form an
important element of intact functional systems (Linnell and Strand, 2000;
Ripple et al., 2001; Durant et al., 2010). Populations of many large carnivores are
restricted to protected areas (PAs) that are of limited size (Jhala et al., 2020).
On an average, the PAs of India which harbour approximately 70 % of the
world's extant tiger population (Jhala et al., 2015) have a size of
393 <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> embedded in a matrix of human-dominated land-use pattern (Bisht
et al., 2019). Consequently, few parks<?pagebreak page18?> have demographically viable carnivore
populations (Jhala et al., 2020), but high prey densities within the PAs have
enabled to harbour high densities of large- and medium-bodied predators
(Bisht et al., 2019). However, inter-carnivore interactions can further become a
limiting factor for their survival (Creel, 2001; Caro and Stoner, 2003;
Durant et al., 2010). In multi-large carnivore systems, understanding of mechanisms
that permit their coexistence among competing carnivores in time and space
(Miller et al., 2018) is essential for understanding the population dynamics of
the target species and the factors which influence the same (Estes et al., 2011;
Wilman et al., 2014; Di Minin et al., 2016).</p>
      <p id="d1e294">Species assemblage in a system is governed by niche partitioning between
different species (Begon et al., 1990; Mayhew 2006). Different
factors such as habitat requirements, body size, behavioural adaptations, and
density determine the way interspecific interactions will take place among
sympatric species (Thompson, 1988). Interspecific interactions, in turn,
influence population growth rate and species distribution range (Svenning
et al., 2014). Different types of interspecific interactions among competing
predators can range from coexistence to intraguild killing. Coexistence
between competing predators can be achieved by differential usage of
non-limiting resources, e.g. preferential predation of deer and young elk by
coyotes in the presence of wolves (Paquet, 1992) and predation of prey of poorer
health condition by leopards in the presence of tigers (Majumder et al., 2013).
Behavioural adaptations like segregation on a spatial scale, e.g. spatial
avoidance of coyotes by red foxes (Voigt and Earle, 1983), and
temporal and/or spatio-temporal segregation also facilitate amongst
interacting carnivores (Kozlowski et al., 2008; Vanak et al., 2013). In the
human-dominated landscape of Chitwan, Nepal, tigers and leopards were seen
to co-occur by segregating spatially, whereas their temporal overlap was high
(Lamichhane et al., 2019). Another study in Chitwan, Nepal, found tiger density to
be high in prey-rich areas which also showed lower occupancy of leopards
(Kafley et al., 2019). In the absence of the top predator, tigers, in Kuiburi
National Park, Thailand, the distribution of subdominant predators, which are leopards
and dholes, was primarily governed by prey availability (Steinmetz et al., 2013).
The subdominant species has been observed to coexist with the dominant one
by investing more energy, including residing in inferior quality habitat or
travelling more in the African continent (Caro and Stoner, 2003).
Coexistence between clouded leopards and marbled cats was achieved by
temporal segregation in Dampa Tiger Reserve, India (Singh and Macdonald,
2017). Diel activity patterns of predators are governed not only by co-predators, but also the activity patterns of prey. While on one hand prey
attempt to reduce the risk of predation by reducing temporal overlap with
predators, predators aim to maximise their temporal overlap with prey to
ensure their hunting success (Lima, 2002). The daily activity pattern of a given prey species is a function of its fundamental niche and local selective
forces like predation pressure, intraguild interactions, and accessibility to
resources (Fenn and MacDonald, 1995; Kronfeld-Schor and Dayan, 2008;
Monterroso et al., 2013). Predator activity pattern is governed by temporal
availability of feeding resources in addition to their fundamental niche and
local constraints (Halle, 2000; Lima, 2002; Monterrose et al., 2013). However, not
all interactions in nature enable coexistence between competing species.
Annual mortality owing to intraguild killing varied from 4 %, where coyotes preyed on martens, to 76 %, where kit foxes were killed by coyotes and red
foxes (Palomares and Caro, 1999; Caro and Stoner, 2003; Kozlowski et al., 2008).
Another form of competition, kleptoparasitism, where one predator steals the
kills from another, is fairly common (Iyengar, 2008; Pereira et al., 2014). In the
presence of kleptoparasites like the spotted hyena, the population status of the
affected species like African wild dogs dwindles because of alterations in
their activity budgets, which may even lead to local extinction of a
population (Carbone et al., 1997; Scantlebury et al., 2014; Saggiomo et al., 2017).</p>
      <p id="d1e297">A number of studies have looked into the dynamics of carnivore coexistence
patterns on a large geographical scale (e.g. Mills et al., 2001; Ritchie and Johnson,
2009; Miller et al., 2018; Prugh and Sivy, 2020). These studies report that large
carnivores are responsible for the suppression of smaller predators on a
global scale through interspecific interactions (Ritchie and Johnson, 2009;
de Oliveira and Pereira, 2014; Prugh and Sivy, 2020). However, the pattern of
interactions varied with resource availability, habitat structures, and
composition of the predator guild (Ritchie and Johnson, 2009). In addition
to this, studies of interspecific interactions at smaller scales are
essential, as the fine-scale behavioural adaptations and niche
differentiation mechanisms adapted by competing predators in a
multi-predator system often fail to emerge at larger scales (Durant, 1998;
Durant et al., 2010; Swanson  et al., 2016; Farris et al.,  2020).</p>
      <p id="d1e300">Interactions between tigers (<italic>Pathera tigris</italic> L.) and leopards (<italic>Panthera pardus</italic> L.) are perfectly suited to
understand how such mechanisms within a landscape can affect the functioning
and structuring of large predator guilds. Tigers are sympatric with leopards
across their range of occurrence (Odden et al., 2010). Although the geographical
range of tigers has been reduced to more than 90 % over the past 100 years (Dinerstein et al., 2007), they still play their ecological role in several
tiger reserves of India (Jhala et al., 2020) and are the apex predator in these
systems. Leopards are more prone to intraguild competition and predation by
tigers because of their taxonomic relatedness, similar feeding habit, and
difference in body size which probably results in avoidance of tigers by
leopards to enhance their chances of survival (Polis  et al., 1989; Palomares and
Caro, 1999; Donadio and Buskirk, 2006). The multiple mechanisms that permit
their coexistence have been reported, which vary from differential prey
selection between the two carnivores based on prey size class (Johnsingh,
1992; Karanth and Sunquist,<?pagebreak page19?> 1995, 2000; Majumder et al., 2013) to expanded diet
niche of leopards including domestic livestock, small mammals, and birds in the presence of tigers at high density (Odden  et al., 2010; Harihar  et al., 2011). A number
of studies across tigers' extant range have reported that leopards alter
their spatial use of habitats (Odden et al., 2010) in addition to low abundance
and occupancy in response to presence of tigers (Harihar et al., 2011; Mondal et al.,
2012). Subdominant predators may avoid competition by avoiding areas of
higher population density of the dominant predator (Sherry, 1979; Karanth
et al., 2017). Karanth et al. (2017) also found evidence of behavioural character
displacement across the resource availability gradient, as they found variation in the degree of spatial and temporal overlap in different landscapes with
variation in prey abundance. However, they also mention that if
probabilities of site usage get closer to 1, it can become difficult to
detect signs of spatial aggregation or separation. On the other hand,
leopards have successfully increased their densities in areas of decreasing
tiger density (Kumar et al., 2019). Leopards were also known to change their
activity pattern to reduce competition with tigers in the same area (Mondal
et al., 2012; Ramesh et al., 2012; Karanth et al., 2017; Li et al., 2018). Hence, it can be said
that the interactions between subdominant leopard and dominant tiger and
their co-occurrence mechanisms vary from site to site depending on tiger
density and prey availability.</p>
      <p id="d1e310">With this background, we studied tiger–leopard interactions using long-term
camera trap data in Pench Tiger Reserve (PTR) in the state of Madhya Pradesh
that is home to the largest tiger (Jhala et al., 2020) and leopard (Jhala et al., 2021)
population in India. These two sympatric predators showed a dietary overlap
of more than 90 % in PTR with chital (<italic>Axis axis</italic>) as the principal prey (Majumder
et al., 2012a). This kind of substantial dietary overlap can effectively result in
exploitative interference competition among the predator guild (Creel and
Creel, 1996; Hayward et al., 2006). According to the niche complementarity
hypothesis, a high degree of overlap in one of the niche components should
result in low overlap in at least another niche component (Schoener, 1974;
Jimenez, 1996; Lucherini et al., 2009). Hence, given the high dietary overlap
among tigers and leopards in the study area (Majumder et al., 2012a), we
hypothesise that leopards will occur at lower densities in the regions with
high tiger abundance and/or alter their activity pattern to avoid lethal
interactions with tigers. We expected relations between tiger and leopards
to differ with varying densities of tigers. We hypothesised a parabolic
relationship between tiger and leopard densities, i.e. that at low tiger
densities, leopards should exhibit an increasing trend with tiger densities;
at medium tiger densities, there would be no relation between tiger and
leopard densities; while at high tiger densities, leopards would show a
declining trend with increasing tiger density.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
      <p id="d1e324">This study was conducted in Pench Tiger Reserve, Madhya Pradesh, central
India. PTR (78<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula><inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">55</mml:mn><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to 79<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula><inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">35</mml:mn><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> E and
21<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>40 to 21<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula><inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">57</mml:mn><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> N) has an area
of 410 <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> including Indira Priyadarshini National Park and Pench Mowgli
Sanctuary. PTR along with Kanha Tiger Reserve constitutes one of the 11
level I tiger conservation units (TCUs) in India classified by
Wikramanayake  et al.  (1998) (Fig. A1). The adjoining forest tract
in north and northeast boundary of Pench provides crucial corridor linkage
to Satpura Tiger Reserve, forming an important link between Satpura and
Maikal populations of tigers and leopards forming a major source population
for these carnivores in central Indian landscape (Jhala et al., 2020, 2021). The
home range of tigers in PTR ranges from 19 to 64 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> in PTR
(Majumder et al., 2012b).</p>
      <p id="d1e416">Bio-geographically, PTR is a part of the Deccan Peninsula Central Highlands
(Sankar et al., 2013). Major forest types of PTR are tropical moist deciduous
forest to slightly moist teak forest and tropical dry deciduous forest.
Tropical dry deciduous forest is further classified into dry teak forest and
southern dry mixed deciduous forest (Champion and Seth, 1968). Other
vegetation types include southern moist mixed deciduous forest and
<italic>Boswellia</italic> forest. Annual rainfall ranges from 1300 to 1400 mm in June to September.
Other carnivores found here were Asiatic wild dogs (<italic>Cuon alpinus</italic>) which reside within
the park and wolves (<italic>Canis lupus</italic>) which usually dwell in fringes. The sloth bear
(<italic>Melursus ursinus</italic>) is the only bear species found in this reserve. Wild ungulates include
chital (<italic>Axis axis</italic>), sambar (<italic>Rusa unicolor</italic>), gaur (<italic>Bos gaurus</italic>), nilgai (<italic>Boselaphus tragocamelus</italic>), wild pig (<italic>Sus scrofa</italic>), barking deer
(<italic>Muntiacus muntjac</italic>), chowsingha (<italic>Tetraceros quadricornis</italic>), chinkara (<italic>Gazella bennetti</italic>), and blackbuck (<italic>Antelope cervicapra</italic>) (Sankar et al., 2013). PTR has one
of the highest densities of chital (44–52 individuals per <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> during
the study period) and sambar (5–8 individuals per <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> during the study
period) in India (Jhala et al., 2020; Chatterjee et al., 2022). This makes the study
area rich in ungulate prey, which has the potential to sustain high densities
of tiger and leopard. A total of 99 villages are located within the “zone of
influence” of PTR, harbouring a population of 61 000 individuals mostly
comprised by the “Gond” tribe (Sankar et al., 2013). Agriculture is the most
prevalent land use pattern outside PTR followed by human settlements and
urban centres (Dutta et al., 2016).</p>
      <p id="d1e482">We used camera trap-based capture–mark–recapture framework (Karanth and
Nichols, 1998) to estimate spatially explicit densities of tigers and
leopards (Borchers and Efford, 2008). The natural markings of animals like
tigers, leopards, and jaguars are perfectly suited for unique individual
identification. In spatially explicit capture–recapture (SECR), the spatial
capture history alongside the spatial layout of traps and a mask delineating
the maximum space usage of the target population are used to estimate the
density (Royle et al., 2013).</p>
<?pagebreak page20?><sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Field methods</title>
      <p id="d1e492">The entire study area (410 <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) was systematically sampled by deploying
a pair of camera traps within 4 <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> grids, thereby decreasing the
chances of the area remaining unsampled (Fig. 1). The selected locations
had the highest capture probability of tigers and leopards. Tigers and
leopards do not walk at random but are known to use game trails, dirt roads, and
dry riverbeds for commuting and patrolling their territories. Hence, two sided camera traps were deployed at 82 stations after an initial ground
survey (of 970 km) for selecting the best locations on such trails and roads
to photo capture large carnivores. The same locations were sampled for the
entire study period of 3 years (2013–2016). Cameras were placed at
the height of 45 cm above ground level facing the trail directly. No
olfactory lure was used to attract the target animals to the cameras.
Cameras operated during two periods each year (November to October): first,
during a 50–55 d block from November to January, and second, a 50–55 d
block from January to March. This ensured that the population remained
closed for the sampling duration by ensuring no birth, no death, no
immigration, and emigration from the target population. The minimum distance
between two camera stations varied between 1.5 and 2 km (Sharma and Jhala, 2011). In
order to maximise the capture probability, trapping units were properly
camouflaged using natural materials like leaves, twigs etc. to reduce the
chances of “trap shyness”.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e519">Location of camera trap stations in Pench Tiger Reserve, Madhya
Pradesh (2013–2016). Map inset shows the location of Pench Tiger Reserve in
India.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://we.copernicus.org/articles/23/17/2023/we-23-17-2023-f01.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Analytical methods</title>
      <p id="d1e537">Individual identification of tiger and leopard was done based on examination
of the position, shape of stripes, and rosettes on the flanks (Schaller, 1967;
McDougal, 1977; Karanth, 1995; Jhala  et al., 2008), limbs, forequarters, and tail
(Schaller, 1967; McDougal, 1977; Karanth, 1995). We used individuals which
had both flanks, and then the flank with greater number of individuals were
taken into account. Hotspotter (Crall et al., 2013) software was used to assist in
the individual identification of leopards. Individuals were classified into
different age groups by body characteristics (Sadhu  et al., 2017).</p>
      <p id="d1e540">A spatial capture history of tigers and leopards that had information on
individuals captured and trap locations was prepared from the photo captures
obtained from camera traps (Efford, 2011).</p>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Density and distribution pattern</title>
      <p id="d1e550">Maximum-likelihood-based spatially explicit capture–recapture framework
(MLSECR) (Efford, 2004; Borchers and Efford, 2008) using camera trap data
was employed to estimate densities of tigers and leopards for each year
separately. SECR density is estimated from two parameters determined from
the spatial capture–recapture (i) detection probability (<inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) at range centres
and (ii) spatial scale of detection (<inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> using a homogeneous spatial
point process (Efford  et al., 2009). The spatial scale of capture probability (<inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is a decreasing function of distance <inline-formula><mml:math id="M30" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula> between the activity centre and the
detector. We fitted a half normal function to model <inline-formula><mml:math id="M31" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>. Activity
centres of individuals are unknown but assumed to follow a Poisson
distribution with density <inline-formula><mml:math id="M32" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula>. We defined the state space by using the
“suggest.buffer” function in SECR package in R. This function estimates
the required buffer width around the camera trapping array by using the
spatial movement parameters from the capture recapture information of the
data (Efford, 2004).</p>
      <p id="d1e605">We modelled <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M34" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> as (i) constant detection probability (<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>(.),
<inline-formula><mml:math id="M36" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>(.)) and (ii) inherent heterogeneity in <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M38" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> as two groups
(<inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>(<italic>h2</italic>), <inline-formula><mml:math id="M40" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>(<italic>h2</italic>)). Combined effects of (iii) heterogeneous <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> and constant
<inline-formula><mml:math id="M42" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> along with heterogeneous <inline-formula><mml:math id="M43" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> and constant <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> [<inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M47" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>(.) and <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>(.)<inline-formula><mml:math id="M49" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>)] were also modelled (Roy et al., 2016; Kumar et al., 2019).
Sunquist and Sunquist (2002) demonstrated that home range size and movement
of large cats vary between the sexes, which has the potential to induce
variability in the capture probability of individuals (Efford and Mowat,
2014). This latent variability was accounted for by modelling (iii) <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M52" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> as a function of gender (<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>(sex), <inline-formula><mml:math id="M54" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>(sex). Due to the
long-term data, sex of most tigers and leopards was known from camera trap
images; however, for unsexed individuals, the model uses the capture
probability of the known gender individuals to allocate unsexed individuals
to a gender class using hybrid mixture models. In this model, <italic>pmix</italic> denotes the
mixing parameter of two sexes which is used to model the detection function
as a two-class mixture. It provided the detection corrected sex ratio of the
target species (Kumar et al., 2019). The best model was selected with minimum Akaike information criteria (AICc)
values (Burnham and Anderson, 2002). Estimated spatial density of both the
species was used to predict the spatial distribution pattern in the study
area using ArcMap v. 9.3.1. Although the density surface described by the
selected<?pagebreak page21?> model is actually the realised capture process unless modelled with
habitat covariates (Efford, 2018), the spatial capture process and the
density of animals are highly correlated with each other. Hence, it can be
treated as a density surface. Data processing was carried out in MS Excel
v. 2007 and analyses were carried out using the “secr” package (Efford,
2015) in the programme R v. 3.1.3. Individuals more than 1 year old were taken
into account for density estimation, as high mortality rate and low capture
probability of younger individuals can possibly reduce the robustness of the
estimates (Karanth and Nichols, 1998; Sadhu  et al., 2017).</p>
      <p id="d1e811">We extracted averaged values of the normalised difference vegetation index
(NDVI) and averaged relative abundance index (RAI) values of chital, sambar, wild pig, leopard, and tiger densities at <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> km grids. RAI was
calculated as capture rate of target animals per 100 trap nights.
Subsequently, relationships between NDVI and prey RAI were explored with
tiger and leopard densities and between tiger and leopard densities. As we
hypothesised a parabolic relationship between tiger and leopard density, we
used a quantile regression to obtain estimates of the quantiles of leopard
density as a function of tiger density because it does not need to assume a
parametric form of the error distribution (Koenker and Bassett, 1978; Cade
and Noon, 2003; Koenker, 2005). In case of quantile regression, the usual
single-mean function of linear or non-linear regression is substituted by a
family of functions across all or a part of quantiles on the interval of 0
to 1. In this case, we divided the data into four intervals (0.25, 0.5, 0.75,
and 0.95). This in turn provides a holistic picture of change in all parts
of the distribution of the response variable with respect to the predictor
variable (Cade et al., 2008).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e829">Spatial distribution pattern mapped in terms of realised capture
process of <bold>(a)</bold> tigers and <bold>(b)</bold> leopards in the intensive study area.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://we.copernicus.org/articles/23/17/2023/we-23-17-2023-f02.jpg"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Activity peaks and temporal overlap</title>
      <p id="d1e852">In order to check whether leopards alter their activity pattern to avoid
tigers, camera trap-based photographs were used to evaluate their activity
peaks and extent of temporal overlap with tigers. ExifPro v.2.1 was used
to extract the temporal information of photo captures of tigers and leopards,
as all the photographs from the detectors were stamped with date and time of
capture. We consider a photo capture as an independent event if the same
individual tiger or leopard was photo-captured at the same location after an
interval of 30 min. A von Mises kernel density estimate corresponding
to circular distribution function (Ridout and Linkie, 2009) was used to
generate the activity pattern for both carnivores. Activity peaks were
identified based on the maximum number of captures obtained at a specific
time period (Linkie and Ridout, 2011; Foster et al., 2013). The coefficient of
overlap (<inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in activity between the two carnivores was estimated as
the overlap area under the density curve. We calculated the extent of
temporal overlap from the coefficient of overlap and its 95% confidence
interval using 10 000 bootstrap samples (Meredith and Ridout, 2014). The
extent of overlap varies from 0 (no overlap) to 1 (100 % overlap,
identical activity pattern) (Ridout and Linkie, 2009). We estimated temporal
overlap between tigers and leopards at high, medium, and low levels of tiger
density. For this, we divided the study area into three tiger density
categories based on the encounter rate of tigers per 100 trap nights: high
(6.36 to 32.73), medium (3.64 to 5.45), and low (0.9 to 2.72), and estimated
the temporal overlap in these three categories. This classification was done
based on different quartiles, where low was the lowest quartile, medium was
the second quartile, and high was the third and fourth quartiles of the
encounter rate. We also estimated their extent of overlap in each year.
Additionally, we wanted to check the extent of temporal overlap between
these two predators and their preferred prey species. So, we estimated the
temporal overlap between these two sympatric predators and their principal
prey, which are chitals, sambars, and wild pigs, following the same method. Statistical
analysis was done in the “overlap” package (Meredith and Ridout, 2014) in R
(v. 3.1.3).</p><?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page22?><sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>Temporal spacing of detections at shared camera sites</title>
      <p id="d1e875">Temporal information of photo captures of tigers and leopards at each camera
station was transformed to Julian format for analysis. We first collated
independent photo captures of tigers. A relative abundance index (RAI) for
tigers was computed for each camera trap station as the sum of total
independent tiger photo captures divided by camera trap effort (time that a
camera was operational); this is expressed as photo captures per 100 trap nights.
Camera traps were then categorised into four RAI categories for tigers
following the same classification based on quartiles. At each camera trap
station where both tigers and leopards were photo-captured, we calculated the
time difference between the detection of tigers (hereafter reference detection) and the closest detection (hereafter proximal detection) of leopards following the initial photo capture of tigers. This time difference
between the reference and proximal detections is hereby termed as “minimum
lag”. We assessed the temporal spacing between consecutive detections of
tigers and leopards across high, medium, and low tiger RAI categories.</p>
      <p id="d1e878">It was likely that leopards could potentially avoid tigers at the fine
spatial–temporal scale. To evaluate such a pattern, we checked the lag in a
trail usage by leopards following a photo capture of a tiger. We compared
the actual time lag of leopard photo capture following a tiger capture with
a random time lag using a Mann–Whitney <inline-formula><mml:math id="M57" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> test (Mann and Whitney, 1947). We
also analysed this pattern in leopard trail usage at (1) low (1.92 tigers per 100 <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>), (2) medium (4.48 tigers pe r100 <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, and (3) high tiger density (4.8
tigers per 100 <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) categories. These classes were decided based on the
three quartiles of tiger density. All analyses were carried out using
Microsoft Excel (v. 2007) and the programme R (v. 3.1.3).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e923">Diagrammatic representation of leopard density contours against
tiger density areas. Plotted density contours of leopards against that of
tigers show that density of leopards declines with increase in the density
of tigers.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://we.copernicus.org/articles/23/17/2023/we-23-17-2023-f03.jpg"/>

          </fig>

<?xmltex \hack{\newpage}?>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Density and distribution pattern</title>
      <p id="d1e951">The total effort of 28 742 trap nights over (Table A1) the
entire sampling period yielded photographs of 6459 usable photographs of
tigers and 1884 usable photographs of leopards. Photographs were of 28
unique male tigers, 27 unique female tigers, 21 unique male leopards, and 30
unique female leopards (individuals over the years) (Table A2). Densities of these sympatric predators were estimated for each sampling
year. Estimated tiger density ranged from 4.8 (SE 0.799) to 5.7 (SE 0.879)
per 100 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> during the study period with overlapping confidence
intervals (Table 1). Estimates of density of leopards varied from 3.76 (SE
0.918) to 4.9 (SE 0.884) per 100 <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>. Our data displayed variation in
detection probability and sigma according to gender. Detection probabilities
of female tigers were higher than males, whereas both male and female
leopards showed similar probability of detection for the first 2 years
(Table 1). We found similar estimates of sigma for female tigers and
leopards and for male tigers and leopards (Table 1).</p>
      <p id="d1e976">The average distance between home range centres of tigers and leopards was
<inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.63</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.03</mml:mn></mml:mrow></mml:math></inline-formula> km with a range of 0.2 to 35 km. The detection
corrected sex ratio (<italic>pmix</italic>) of tigers were slightly female-biased in the first
2 years but became male-biased during the last year. On the other hand,
leopards were male-biased in the first year, which later became dominated by
females in the following years (Table 2). Our data indicate that tigers and
leopards were spatially segregated. Tiger captures were higher in the
central, south-west, and northern parts of the study area (Fig. 2). Leopard
captures were higher in areas of relatively lower tiger densities and
peripheral areas where tigers occur less (Fig. 2). Density contours of
leopards against that of tigers showed that density of leopards declines
with increase in the density of tigers (Fig. 3).</p>
      <p id="d1e994">Our results did not show any significant relationship between the
distribution pattern of the major prey species (chital, sambar, and wild
pigs) with that of tigers and leopards in the study area (Fig. B1). Vegetation cover (NDVI) also showed no relationship (Fig. B2). The slope of the regression for leopard density versus the
lower quantile of tiger density was significantly positive; at median
density of tigers, it was not different from zero, while at higher tiger density,
quantiles were significantly negative (Table 2) (Fig. B3),
implying leopard density was lower in high tiger density areas.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e1000">Activity peaks and temporal overlap between tigers and leopards in
Pench Tiger Reserve, Madhya Pradesh.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://we.copernicus.org/articles/23/17/2023/we-23-17-2023-f04.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e1012">Estimated density per 100 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> along with sex-specific detection
probability (<inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>), sex-specific spatial scale of detection (<inline-formula><mml:math id="M66" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>, in km),
and detection corrected sex ratio (male : female) of tigers and leopards in
Pench Tiger Reserve, Madhya Pradesh, during the study period (2013–2016).</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.94}[.94]?><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Model</oasis:entry>
         <oasis:entry colname="col4">Density</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> (SE)</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> (SE)</oasis:entry>
         <oasis:entry colname="col7">Sigma (<inline-formula><mml:math id="M69" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col8">Sigma (<inline-formula><mml:math id="M70" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col9">Sex ratio</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Session</oasis:entry>
         <oasis:entry colname="col2">Species</oasis:entry>
         <oasis:entry colname="col3">parameters</oasis:entry>
         <oasis:entry colname="col4">(SE) per 100 <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">(female)</oasis:entry>
         <oasis:entry colname="col6">(male)</oasis:entry>
         <oasis:entry colname="col7">(SE) (female)</oasis:entry>
         <oasis:entry colname="col8">(SE) (male)</oasis:entry>
         <oasis:entry colname="col9">(M : F) (SE)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">2013–2014</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>[<inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M74" display="inline"><mml:mi>s</mml:mi></mml:math></inline-formula>[<inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col4">5.735 (0.879)</oasis:entry>
         <oasis:entry colname="col5">0.037 (0.004)</oasis:entry>
         <oasis:entry colname="col6">0.025 (0.003)</oasis:entry>
         <oasis:entry colname="col7">2.237 (0.108)</oasis:entry>
         <oasis:entry colname="col8">3.989 (0.224)</oasis:entry>
         <oasis:entry colname="col9">0.956 (0.078)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2014–2015</oasis:entry>
         <oasis:entry colname="col2">Tiger</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>[<inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M78" display="inline"><mml:mi>s</mml:mi></mml:math></inline-formula>[<inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col4">4.854 (0.799)</oasis:entry>
         <oasis:entry colname="col5">0.053 (0.005)</oasis:entry>
         <oasis:entry colname="col6">0.026 (0.003)</oasis:entry>
         <oasis:entry colname="col7">2.063 (0.099)</oasis:entry>
         <oasis:entry colname="col8">4.404 (0.235)</oasis:entry>
         <oasis:entry colname="col9">0.9 (0.081)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">2015–2016</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>[<inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col4">5.155 (0.824)</oasis:entry>
         <oasis:entry colname="col5">0.068 (0.005)</oasis:entry>
         <oasis:entry colname="col6">0.039 (0.003)</oasis:entry>
         <oasis:entry colname="col7">2.714 (0.068)</oasis:entry>
         <oasis:entry colname="col8">2.714 (0.068)</oasis:entry>
         <oasis:entry colname="col9">1.091 (0.082)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2013–2014</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M82" display="inline"><mml:mi>s</mml:mi></mml:math></inline-formula>[<inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col4">3.758 (0.918)</oasis:entry>
         <oasis:entry colname="col5">0.004 (0.001)</oasis:entry>
         <oasis:entry colname="col6">0.004 (0.001)</oasis:entry>
         <oasis:entry colname="col7">2.697 (0.435)</oasis:entry>
         <oasis:entry colname="col8">4.129 (0.592)</oasis:entry>
         <oasis:entry colname="col9">1.194 (0.123)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2014–2015</oasis:entry>
         <oasis:entry colname="col2">Leopard</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>[<inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M86" display="inline"><mml:mi>s</mml:mi></mml:math></inline-formula>[<inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col4">4.446 (0.848)</oasis:entry>
         <oasis:entry colname="col5">0.026 (0.004)</oasis:entry>
         <oasis:entry colname="col6">0.025 (0.006)</oasis:entry>
         <oasis:entry colname="col7">1.912(0.158)</oasis:entry>
         <oasis:entry colname="col8">3.918 (0.29)</oasis:entry>
         <oasis:entry colname="col9">0.495 (0.092)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2015–2016</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>[<inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M90" display="inline"><mml:mi>s</mml:mi></mml:math></inline-formula>[<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col4">4.97 (0.884)</oasis:entry>
         <oasis:entry colname="col5">0.017 (0.003)</oasis:entry>
         <oasis:entry colname="col6">0.042 (0.005)</oasis:entry>
         <oasis:entry colname="col7">2.402 (0.209)</oasis:entry>
         <oasis:entry colname="col8">3.133 (0.236)</oasis:entry>
         <oasis:entry colname="col9">0.647 (0.086)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e1563">Quantile regression coefficients of leopard densities with tiger
densities in Pench Tiger Reserve, Madhya Pradesh, during 2013–2016.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Quantiles</oasis:entry>
         <oasis:entry colname="col2">Coefficient (<inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">95</mml:mn></mml:mrow></mml:math></inline-formula> % CI)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M93" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">0.25</oasis:entry>
         <oasis:entry colname="col2">0.393 (0.118–0.562)</oasis:entry>
         <oasis:entry colname="col3">0.0001*</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.5</oasis:entry>
         <oasis:entry colname="col2">0.13 (0.048–0.191)</oasis:entry>
         <oasis:entry colname="col3">0.148</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.75</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.072</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.162</mml:mn></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.037</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">0.348</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.95</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.37</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.434</mml:mn></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.074</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">0.000001*</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Activity peaks and temporal overlap</title>
      <p id="d1e1725">Tigers and leopards both had bimodal activity patterns with activity peaks
around 06:00 IST in the morning and 19:00 to 20:00 IST in the evening. The extent of
temporal overlap between these two sympatric felids was 89 % (CI 86 %–93 %) in 2016 (Fig. 4). In low tiger density areas, the extent of
overlap was slightly lower, 77 % (CI 68 %–85 %) (Fig. B4a),<?pagebreak page23?> but with overlapping confidence intervals. In medium and high
tiger density areas, the extent of temporal overlap was similar, 86 % (CI
85 %–99 %) and 86 % (CI 81 %–93 %), respectively (Fig. B4b–c). The coefficients of temporal overlap were also similar
across years with overlapping confidence intervals, 77 % (CI 69 %–86 %) in 2014 and 88 % (CI 79 %–92 %) (Fig. B5a–b). Investigation of the extent of temporal overlap between these two
sympatric felids and their principal prey revealed that the maximum overlap
for both tigers and leopards was with sambar, followed by wild pigs and then
chitals (Fig. B6a–f).</p><?xmltex \hack{\newpage}?><?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e1730">Relationship between average minimum lag between photo capture of
a leopard after a tiger has been photographed. Columns represent the
average encounter rate of tigers (classified low as lower quantile or least
encounter rate and very high as upper quantile or maximum encounter rate of
tiger).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://we.copernicus.org/articles/23/17/2023/we-23-17-2023-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Temporal spacing of detections at shared camera sites</title>
      <p id="d1e1747">Minimum lag between successive captures of tigers and leopards ranged from
0.002 to 36.29 d (Fig. 5). Lowest average minimum lag was seen in
very high tiger encounter rate class (<inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.311</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.87</mml:mn></mml:mrow></mml:math></inline-formula> d), whereas the
highest lag was in low tiger encounter rate class (<inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.84</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.84</mml:mn></mml:mrow></mml:math></inline-formula> d).
Mean lag varied from 1.88 (SE 0.63) d to 12.61 (SE 1.95) d  (Fig. 5).
Our data showed that the mean lag and average minimum lag decreased with
increase in the tiger encounter rate in a linear manner (Fig. 5). In the
high encounter rate class, the minimum lag varied from 0.002 to 8.65 d, whereas the range of minimum lag was 0.02 to 19.96 and 0.03 to 36.29 d in medium and low encounter rate class, respectively.</p>
      <p id="d1e1774">The median time lag between leopard captures after a tiger capture was 1.68 d, whereas the median time lag between tiger capture and a random capture
event was 3.63 d, and the observed lag was significantly smaller than
random (<inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mi>W</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> 617, <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.00005</mml:mn></mml:mrow></mml:math></inline-formula>). We also found that the observed lag was
significantly smaller than random lag in medium (<inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mi>W</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1617</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0003</mml:mn></mml:mrow></mml:math></inline-formula>)
and high (<inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mi>W</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1288</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula>)<?pagebreak page24?> tiger density areas. However, the observed lag
was not different than random in the low tiger density areas (<inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mi>W</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1001</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.29</mml:mn></mml:mrow></mml:math></inline-formula>).</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d1e1883">The interactions among the members of the predator guild significantly
influence their population dynamics and distribution (Linnell and Strand,
2000). Understanding the patterns of interactions provides insights into
mechanisms that promote coexistence between competing carnivores. Our study
adds information on how tigers and leopards co-occur at high densities
through fine-scale spatio-temporal interactions.</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Tiger and leopard density pattern</title>
      <p id="d1e1893">Tiger density in the study area was on par with estimates from reserves with
similar habitat features like Bandhavgarh Tiger Reserve and Pench Tiger
Reserve, Maharashtra (Jhala et al., 2020). Estimated leopard density during the
study period was similar to that of Bandhavgarh Tiger Reserve (Rather et al.,
2021). The densities of these two sympatric predators within the study area
remained stable (overlapping confidence intervals) throughout the 3
years. Estimation of prey density-based carrying capacity (Jhala et al., 2020)
shows that the carrying capacity of the study area varies between 6.96 to
8.86 tigers per 100 <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>. Carrying capacity of leopards based on prey
biomass (Hayward et al., 2007) was estimated at 8.07 leopards per 100 <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>. As
per our findings and the latest estimates of tiger and leopard densities in
the area (Jhala et al., 2020), it can be assumed that tigers are about to attain
carrying capacity in PTR, MP. Comparison with the estimated leopard carrying
capacity suggests that leopards are operating below the carrying capacity.
We did not observe any evidence of decline in leopard population over the
years. Such lack of demographic effect on leopard population in the presence of
tigers has also been observed in Kanha National Park where leopards attain a
positive growth rate in areas of low and medium tiger density (Kumar et al., 2019).</p>
      <p id="d1e1918">As per our hypothesis, leopard densities decreased with increase in tiger
density at higher quantiles. The areas of low tiger density were also
comparatively low in prey abundance. As a result, both these co-predators
can increase their numbers to a certain extent by exploiting these limited
resources. At medium tiger densities, no relationship was seen between
tigers and leopards, and at high tiger densities, a depressive effect of
tiger density was observed on leopard densities.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Spatial distribution pattern of tigers and leopards</title>
      <p id="d1e1929">We also found that photographic captures of leopards were higher near the
periphery (except the northern and south-western part) and areas of PTR
where photo captures of tigers were lower (Fig. 2). PTR is situated in a
matrix of agricultural fields and human habitation. The northern and
south-western part of PTR is connected with the reserve forest, which has
abundant prey and resulted in higher photo captures of tigers, whereas the
rest of the periphery where leopard captures were higher borders
agricultural fields and/or human habitation. Similar findings are reported
from Bardia National Park, Nepal, and Rajaji National Park, India, where
leopards use the edges as a result of interference interactions with tigers
(Odden et al., 2010; Harihar et al., 2011). The relative avoidance of peripheral (except
for the south-west and northern part) areas by tigers probably created a
“competition refuge” (Odden et al., 2010) for leopards near the periphery of PTR.
Different species with similar prey preferences residing in the same area
are likely to avoid vigorous interactions owing to the huge cost associated
(Donadio and Buskirk, 2006; Ramesh et al., 2012; Vanak et al., 2013; Carter et al., 2015).
However, intraguild killing of the subdominant predator by the dominant one
can take place even in the absence of strong competitive dynamics
(Curveira-Santos et al., 2021), but we did not observe tiger predation on leopards
during the study period.</p>
      <p id="d1e1932">Competition acts as a major driving force in structuring communities in
ecosystems with multiple predators because of their behavioural and
morphological adaptations to hunt successfully (Creel, 2001; Donadio and
Buskirk, 2006; Balme et al., 2017). Majumder et al. (2012a) reported significant dietary
overlap between tigers and leopards in PTR, but leopards were seen to be
feeding largely on prey with poorer health condition (Majumder et al., 2013).
Resource partitioning has been well documented as a mechanism for the
coexistence of sympatric predators (Sollmann et al., 2012; Santos et al., 2019; Paúl
et al., 2020). Our study supports the fact that leopards are adaptive in terms of
choice in the presence of tigers. The risk of exploitative competition for
leopards with tigers is higher, as shared prey leads to enhanced competitive
interactions.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Temporal activity pattern of tigers and leopards</title>
      <p id="d1e1943">In addition to spatial and prey partitioning, temporal partitioning has also
been observed as an adapted behavioural mechanism of these sympatric
predators to attain coexistence (Steinmetz et al., 2013; Sunarto et al., 2015; Yang et al.,
2018). The conventional analysis of unitary encounter rate and temporal
activity peaks (Fig. 4) of our data does not show any sign of difference.
Temporal overlap between these two sympatric predators also remained similar
across varying tiger density areas. Both these predators need not separate
in daily activity patterns, as it overlaps with the daily activity pattern of
their principal prey species (Fig. B1a–f). High
temporal overlap between sympatric predators in order to maximise their
utilisation of prey has been observed in previous studies (Karanth and
Sunquist, 1995; Ramesh et<?pagebreak page25?> al., 2012). Hayward and Slotow (2009) also mention that
despite all members of the guild facing the risk of intraguild predation,
only secondary predators like wild dogs and cheetahs alter their activity
pattern to minimise overlap with major kleptoparasites like lions and
leopards, whereas the latter do not show any such pattern. Predators opt for
strategies that allow them to maximise their nutrient intake given the
constraints of resources like prey density and habitat. It can vary widely
for the same species at different parts of their geographical distribution
(Sunquist and Sunquist, 1989). Leopards in PTR, which are majorly restricted
to suboptimal areas, do not exhibit temporal avoidance of tigers in order
to ensure their survival by optimising their hunting opportunities.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Co-occurrence patterns of tigers and leopards</title>
      <p id="d1e1955">Both tigers and leopards were captured in 79 % of all the camera stations,
but their rate of captures varied significantly. However, in our study, we
found no evidence of leopards avoiding tigers at fine spatial–temporal scale,
as we did not find any difference between trail usage by leopards following
a tiger photo capture and a random trail usage. This pattern was the same at
different tiger densities. Homogeneous distribution of the preferred prey
species and greater visibility of the study area (Karanth et al., 2017) might be
responsible for the absence of such fine-scale behavioural avoidance
mechanisms.</p>
      <p id="d1e1958">We used only camera trap-based data for this study, so any reactive
avoidance (Broekhuis  et al., 2013) of leopards towards tigers could not be
observed. We did not encounter any evidence of intraguild predation or
kleptoparasitism during the entire study period, as our study was primarily
based on camera traps and ad libitum observations. Behavioural observations
of these animals with the help of radiotelemetry where they coexist in high
densities can further elucidate their avoidance mechanisms. Additionally, it
can generate insights into kill rates and prey handling of these two
predators, which are essential in understanding their dietary niche
composition and interference interactions (Miller et al., 2014; Elbroch et al., 2014).
Such studies have the scope of investigating the process of interspecific
social dominance and coexistence of sympatric predators effectively.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e1971">Leopards co-occur with tigers in majority of the places in Asia and they
have the most widespread distribution among all the felids (Nowell and
Jackson, 1996; Henschel et al., 2008; Odden et al., 2010). Their extent of spatial
overlap with intraguild predators is also the highest along with extreme
vulnerability to exploitative competition (Caro and Stoner, 2003; Du Preez
et al., 2017). Intraguild competition has the ability to push the subordinate
predators in suboptimal habitats, which can impact their survival. However,
leopards have been known to use these suboptimal habitats to their maximum
extent, which are not preferred by tigers and are areas near human presence
(Odden et al., 2010; Athreya et al., 2013), whereas tigers usually need relatively larger
undisturbed areas with ample wild prey for their survival (Karanth and
Stith, 1999).</p>
      <p id="d1e1974">Our study provides a record of tiger–leopard co-occurrence patterns over
multiple years and generates insights into the behavioural and ecological
mechanisms adapted by these two predators. Our findings substantiate the
fact that dominant predators can influence the spatial distribution pattern
of the subordinate predators, but abundance response depends on habitat
features (Ritchie and Johnson, 2009; Broekhuis  et al., 2013; Vanak et al., 2013; Swanson
et al., 2016; Balme  et al., 2017). Our results suggest that areas with a high density of tigers
were detrimental for leopard density, and it seems likely that they depress
or prevent occupancy of other large carnivores as well (dholes, sloth bears,
and wolves) (Steinmetz et al., 2013; Rayan and Linkie, 2016, Lahkar et al., 2021). Our
results along with a study of dietary habits of tigers and leopards in PTR
(Majumder et al., 2012a) indicate that partitioning of either spatial or dietary
niche can aid in two large predators to co-occur, but prey and habitat
characteristics also play a crucial role in determining the results of
intraguild interactions (Janssen  et al., 2007; Harihar  et al., 2011; Balme et al., 2017). However,
we did not find any evidence of temporal segregation or fine-scale
spatio-temporal avoidance between these two sympatric predators.</p>
      <p id="d1e1977">Our study provides a record of ecological and behavioural adaptations in a
natural system to attain co-occurrence. This increases the ecological
understanding of these species and provides basis for scientific management
programmes. As targeted management practices for one flagship species can
negatively affect the subdominant predators (Karanth et al., 2011; Harihar et al.,
2011; Lahkar et al., 2021), understanding intraguild interactions of these two
sympatric predators is essential. The zeal of increasing tiger abundance can
have detrimental impacts on the carnivore community. However, it may be
relevant to state that many of the other large carnivores are also found at
reasonable densities outside of the PAs (Jhala et al., 2020, 2021). While source
populations of tigers are primarily restricted to within PAs even though
40 % of the tiger population of India resides outside of tiger reserves,
these are essentially low-density tiger areas which serve as sink habitats.
Thus, tigers are a conservation-dependent species and need legal protection.</p><?xmltex \hack{\newpage}?>
</sec>

      
      </body>
    <back><app-group>

<?pagebreak page26?><app id="App1.Ch1.S1">
  <?xmltex \currentcnt{A}?><label>Appendix A</label><title/>

      <?xmltex \floatpos{h!}?><fig id="App1.Ch1.S1.F6"><?xmltex \currentcnt{A1}?><?xmltex \def\figurename{Figure}?><label>Figure A1</label><caption><p id="d1e1993">Location of Pench Tiger Reserve, Madhya Pradesh, in the central
Indian tiger landscape along with its corridors with the surrounding
protected areas (PAs). This map is reproduced from  a study on connecting tiger
populations for long-term conservation (Qureshi et al., 2014).</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://we.copernicus.org/articles/23/17/2023/we-23-17-2023-f06.jpg"/>

      </fig>

<?xmltex \floatpos{h!}?><table-wrap id="App1.Ch1.S1.T3"><?xmltex \hack{\hsize\textwidth}?><?xmltex \currentcnt{A1}?><label>Table A1</label><caption><p id="d1e2008">Camera trapping efforts in Pench Tiger Reserve, Madhya Pradesh,
during 2013–2016, (* MCP: minimum convex polygon).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Total number</oasis:entry>
         <oasis:entry colname="col3">MCP<inline-formula><mml:math id="M112" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">Total</oasis:entry>
         <oasis:entry namest="col5" nameend="col6" align="center">Number of </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Session</oasis:entry>
         <oasis:entry colname="col2">of camera traps</oasis:entry>
         <oasis:entry colname="col3">( <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">trap nights</oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center">identifiable photographs </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">Tiger</oasis:entry>
         <oasis:entry colname="col6">Leopard</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">2013–2014</oasis:entry>
         <oasis:entry colname="col2">82</oasis:entry>
         <oasis:entry colname="col3">410</oasis:entry>
         <oasis:entry colname="col4">9072</oasis:entry>
         <oasis:entry colname="col5">1656</oasis:entry>
         <oasis:entry colname="col6">511</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2014–2015</oasis:entry>
         <oasis:entry colname="col2">84</oasis:entry>
         <oasis:entry colname="col3">410</oasis:entry>
         <oasis:entry colname="col4">10 080</oasis:entry>
         <oasis:entry colname="col5">2109</oasis:entry>
         <oasis:entry colname="col6">689</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2015–2016</oasis:entry>
         <oasis:entry colname="col2">82</oasis:entry>
         <oasis:entry colname="col3">410</oasis:entry>
         <oasis:entry colname="col4">9320</oasis:entry>
         <oasis:entry colname="col5">2694</oasis:entry>
         <oasis:entry colname="col6">684</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \hack{\clearpage}?><?xmltex \floatpos{h!}?><table-wrap id="App1.Ch1.S1.T4"><?xmltex \hack{\hsize\textwidth}?><?xmltex \currentcnt{A2}?><label>Table A2</label><caption><p id="d1e2182">Details of camera trap-based photographs of individually
identified tigers and leopards over the entire study period (2013–2016). The
bold highlighted portion includes photo capture details of cubs of tigers and
leopards, respectively, which were not included for analysis. NA stands for not applicable.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">Unidentified</oasis:entry>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Session</oasis:entry>
         <oasis:entry colname="col2">Species</oasis:entry>
         <oasis:entry colname="col3">Age class</oasis:entry>
         <oasis:entry colname="col4">Male</oasis:entry>
         <oasis:entry colname="col5">Female</oasis:entry>
         <oasis:entry colname="col6">Cubs</oasis:entry>
         <oasis:entry colname="col7">Gender</oasis:entry>
         <oasis:entry colname="col8">Total</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><bold>2013–2014</bold></oasis:entry>
         <oasis:entry colname="col2">Tiger</oasis:entry>
         <oasis:entry colname="col3">Adult</oasis:entry>
         <oasis:entry colname="col4">16</oasis:entry>
         <oasis:entry colname="col5">25</oasis:entry>
         <oasis:entry colname="col6">NA</oasis:entry>
         <oasis:entry colname="col7">3</oasis:entry>
         <oasis:entry colname="col8">44</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><bold>2014–2015</bold></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">18</oasis:entry>
         <oasis:entry colname="col5">20</oasis:entry>
         <oasis:entry colname="col6">NA</oasis:entry>
         <oasis:entry colname="col7">0</oasis:entry>
         <oasis:entry colname="col8">38</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><bold>2015–2016</bold></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">21</oasis:entry>
         <oasis:entry colname="col5">18</oasis:entry>
         <oasis:entry colname="col6">NA</oasis:entry>
         <oasis:entry colname="col7">1</oasis:entry>
         <oasis:entry colname="col8">40</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><bold>2013–2014</bold></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Cubs</oasis:entry>
         <oasis:entry colname="col4">NA</oasis:entry>
         <oasis:entry colname="col5">NA</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
         <oasis:entry colname="col7">0</oasis:entry>
         <oasis:entry colname="col8">1</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><bold>2014–2015</bold></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">NA</oasis:entry>
         <oasis:entry colname="col5">NA</oasis:entry>
         <oasis:entry colname="col6">7</oasis:entry>
         <oasis:entry colname="col7">0</oasis:entry>
         <oasis:entry colname="col8">7</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><bold>2015–2016</bold></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">NA</oasis:entry>
         <oasis:entry colname="col5">NA</oasis:entry>
         <oasis:entry colname="col6">25</oasis:entry>
         <oasis:entry colname="col7">0</oasis:entry>
         <oasis:entry colname="col8">25</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2013–2014</oasis:entry>
         <oasis:entry colname="col2">Leopard</oasis:entry>
         <oasis:entry colname="col3">Adult</oasis:entry>
         <oasis:entry colname="col4">9</oasis:entry>
         <oasis:entry colname="col5">12</oasis:entry>
         <oasis:entry colname="col6">NA</oasis:entry>
         <oasis:entry colname="col7">4</oasis:entry>
         <oasis:entry colname="col8">25</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2014–2015</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">17</oasis:entry>
         <oasis:entry colname="col5">20</oasis:entry>
         <oasis:entry colname="col6">NA</oasis:entry>
         <oasis:entry colname="col7">4</oasis:entry>
         <oasis:entry colname="col8">41</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2015–2016</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">25</oasis:entry>
         <oasis:entry colname="col5">15</oasis:entry>
         <oasis:entry colname="col6">NA</oasis:entry>
         <oasis:entry colname="col7">2</oasis:entry>
         <oasis:entry colname="col8">42</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><bold>2013–2014</bold></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><bold>Cubs</bold></oasis:entry>
         <oasis:entry colname="col4"><bold>NA</bold></oasis:entry>
         <oasis:entry colname="col5"><bold>NA</bold></oasis:entry>
         <oasis:entry colname="col6"><bold>1</bold></oasis:entry>
         <oasis:entry colname="col7"><bold>0</bold></oasis:entry>
         <oasis:entry colname="col8"><bold>1</bold></oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><bold>2014–2015</bold></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">NA</oasis:entry>
         <oasis:entry colname="col5">NA</oasis:entry>
         <oasis:entry colname="col6">3</oasis:entry>
         <oasis:entry colname="col7">0</oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><bold>2015–2016</bold></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">NA</oasis:entry>
         <oasis:entry colname="col5">NA</oasis:entry>
         <oasis:entry colname="col6">3</oasis:entry>
         <oasis:entry colname="col7">0</oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</app>

<?pagebreak page27?><app id="App1.Ch1.S2">
  <?xmltex \currentcnt{B}?><label>Appendix B</label><title/>

      <?xmltex \floatpos{h!}?><fig id="App1.Ch1.S2.F7"><?xmltex \currentcnt{B1}?><?xmltex \def\figurename{Figure}?><label>Figure B1</label><caption><p id="d1e2637">Relationship between prey relative abundance index (RAI) and <bold>(a)</bold> tiger density and <bold>(b)</bold> leopard density in Pench Tiger Reserve, Madhya Pradesh.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://we.copernicus.org/articles/23/17/2023/we-23-17-2023-f07.png"/>

      </fig>

      <?xmltex \floatpos{h!}?><fig id="App1.Ch1.S2.F8"><?xmltex \currentcnt{B2}?><?xmltex \def\figurename{Figure}?><label>Figure B2</label><caption><p id="d1e2656">Relationship between vegetation cover (NDVI) and <bold>(a)</bold> tiger density
and <bold>(b)</bold> leopard density in Pench Tiger Reserve, Madhya Pradesh.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://we.copernicus.org/articles/23/17/2023/we-23-17-2023-f08.png"/>

      </fig>

<?xmltex \hack{\clearpage}?><?xmltex \floatpos{t}?><fig id="App1.Ch1.S2.F9"><?xmltex \currentcnt{B3}?><?xmltex \def\figurename{Figure}?><label>Figure B3</label><caption><p id="d1e2677">Slopes of quantile regression of effects on tiger density on
leopard density where leopard density declines in higher quantiles.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://we.copernicus.org/articles/23/17/2023/we-23-17-2023-f09.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="App1.Ch1.S2.F10"><?xmltex \currentcnt{B4}?><?xmltex \def\figurename{Figure}?><label>Figure B4</label><caption><p id="d1e2688">Activity curves and extent of temporal overlap between tiger and
leopard in <bold>(a)</bold> low tiger density, <bold>(b)</bold> medium tiger density, and <bold>(c)</bold> high tiger
density areas in Pench Tiger Reserve, Madhya Pradesh.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://we.copernicus.org/articles/23/17/2023/we-23-17-2023-f10.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="App1.Ch1.S2.F11"><?xmltex \currentcnt{B5}?><?xmltex \def\figurename{Figure}?><label>Figure B5</label><caption><p id="d1e2708">Activity curves and extent of temporal overlap between tiger and
leopard in <bold>(a)</bold> 2014 and <bold>(b)</bold> 2015 in Pench Tiger Reserve, Madhya Pradesh.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://we.copernicus.org/articles/23/17/2023/we-23-17-2023-f11.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="App1.Ch1.S2.F12"><?xmltex \currentcnt{B6}?><?xmltex \def\figurename{Figure}?><label>Figure B6</label><caption><p id="d1e2725">Activity curves and extent of temporal overlap between <bold>(a)</bold> tiger
and sambar, <bold>(b)</bold> tiger and wild pig, <bold>(c)</bold> tiger and chital, <bold>(d)</bold> leopard and
sambar, <bold>(e)</bold> leopard and wild pig, and <bold>(f)</bold> leopard and chital in Pench Tiger
Reserve, Madhya Pradesh.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://we.copernicus.org/articles/23/17/2023/we-23-17-2023-f12.png"/>

      </fig>

<?xmltex \hack{\clearpage}?>
</app>
  </app-group><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d1e2759">The data and code are available from the authors. Tigers and leopards are
listed as schedule I species under the Wildlife Protection Act (1972) of
India. As the data contain sensitive information on capture locations of
these species, the information on capture locations cannot be shared. This
type of sensitive information cannot be uploaded on the public domain from
the fear of misuse of the information.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e2765">All authors have contributed to this study. KS, YVJ, and QQ designed this
study. ABC carried out the analysis. ABC prepared the paper with
contributions from all co-authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e2771">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e2777">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e2783">We would like to take this opportunity to
thank the Chief Wildlife Warden (CWLW) of Madhya Pradesh Forest Department (MPFD),
field directors Alok Kumar (AK) and Subharanjan Sen (SS), and the
Director and Dean of the Wildlife Institute of India. We express our sincere gratitude to the anonymous reviewers for the extremely helpful
insights. We thank Ujjwal Kumar (UK) and Shivam Shrotriya (SSH) for their help in analysing the data. We are also grateful to Akanksha Saxena (AS) and Sudip Banerjee (SB) for their valuable inputs in rewriting the
paper. We also thank our field assistants, Ghudan Laal Sirsam (GLS), Mithilesh Sirsam  (MS), and
Ashok Uike (AU),  for assisting us in the fieldwork.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e2788">This research has been supported by the Wildlife Institute of India, Ministry of Environment, Forest and Climate Change.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e2794">This paper was edited by Ricardo Rocha and reviewed by Dipanjan Naha and two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

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