Introduction
The conservation status of the African lion Panthera leo has been a matter of debate because lion numbers are suspected to have declined by 30–50%, and recent investigations have shown that the African lion population is 23,000–39,000 (IUCN SSC Cat Specialist Group, 2006). However, many estimates of lion subpopulations are based on educated guesses (Chardonnet, Reference Chardonnet2002; Bauer & van der Merwe, Reference Bauer and van der Merwe2004; IUCN SSC Cat Specialist Group, 2006), whereas effective conservation and management require accurate estimates of population sizes.
Because carnivore density is scaled with prey biomass (Carbone & Gittleman, Reference Carbone and Gittleman2002), it can be modelled indirectly with regression models provided that information on prey biomass is available (Gros et al., Reference Gros, Kelly and Caro1996). The carnivore density derived from this relationship can also be regarded as the ecological carrying capacity of the ecosystem (Hayward et al., Reference Hayward, O'Brien and Kerley2007). However, this approach only works as long as no other mechanisms limit a carnivore population. For lion populations, a variety of top-down limitations have been identified. Expanding human populations often result in reduction and fragmentation of suitable habitat and increasing frequencies of human-lion conflicts (Nowell & Jackson, Reference Nowell and Jackson1996; Harcourt et al., Reference Harcourt, Parks and Woodroffe2001). Where lions and humans co-exist, lions may become man eaters (Packer et al., Reference Packer, Ikanda, Kissui and Kushnir2005) and may kill livestock, and this often leads to destruction of lions (Woodroffe & Frank, Reference Woodroffe and Frank2005). This anthropogenic mortality can cause local extinctions of lions even within protected areas (Woodroffe & Ginsberg, Reference Woodroffe and Ginsberg1998). Trophy hunting may contribute to declining lion numbers. Hunting quotas were found to be unsustainable for Game Reserves in Tanzania (Creel & Creel, Reference Creel and Creel1997; Caro et al., Reference Caro, Pelkey, Borner, Severre, Campbell and Huish1998), whereas actual offtake was considered sustainable (Creel & Creel, Reference Creel and Creel1997; Whitman et al., Reference Whitman, Starfield, Quadling and Packer2007). A case study from Zimbabwe showed that unsustainable offtake outside Hwange National Park resulted in a skewed sex structure and increased rates of infanticide after territorial males were replaced by new male coalitions inside the National Park (Loveridge et al., Reference Loveridge, Searle, Murindagomo and Macdonald2007). Epizootics can also severely affect lion populations (Kissui & Packer, Reference Kissui and Packer2004).
Here we compare an indirect (estimates from three prey biomass-lion density models) with a direct method of estimating lion density, using data on the lion population of Katavi National Park, Tanzania. We directly assessed lion density and demography using a calibrated playback survey, a method that has been proposed for the assessment of lion population size (Ogutu & Dublin, Reference Ogutu and Dublin1998). We hypothesized that the three indirect density estimates would be higher than the estimate from the direct method, that anthropogenic and ecological factors may be responsible, and that these could be observed through edge effects.
Study area
We conducted this study in and around Katavi National Park in the Rukwa Region of western Tanzania. With an area of 4,279 km2, Katavi is Tanzania's third largest National Park. It is situated almost exclusively within the Rukwa valley, at 800–1,100 m altitude, and receives a mean annual rainfall of 923 mm in a unimodal pattern (TANAPA/WD, 2004). Katavi National Park was gazetted in 1974 to protect two seasonal lakes that support high mammal densities during the dry season (Caro, Reference Caro1999a). Apart from seasonal floodplains, the Park consists mainly of Miombo woodland-dry forest (Banda et al., Reference Banda, Schwartz and Caro2006). The Park is surrounded by Kisi and Nkamba Forest Reserves to the west, Msaginia Forest Reserve and Mlele Game Controlled Area to the north, Rukwa Game Reserve to the east and south, Lwafi Game Reserve to the south-west, and Open Areas to the south.
Hunting is not allowed inside Katavi National Park but illegal hunting of herbivores occurs (Caro, Reference Caro1999c). In Rukwa and Lwafi Game Reserves and Mlele Game Controlled Area tourist hunting of male lions is allowed and restricted to an annual quota of 29 lions (20, 5 and 4 lions, respectively; TANAPA/WD, 2004). Although requested by CK, information regarding lion offtake was not provided by the Wildlife Division. In other areas adjacent to the Park lion hunting is not allowed but members of the Sukuma tribe are suspected to kill lions for traditional purposes (J. Balozi, pers. comm.).
Methods
To obtain data on available prey biomass we used line transect methodology (Buckland et al., Reference Buckland, Anderson, Burnham, Laake, Borchers and Thomas2001) for assessing density of large herbivores in the year previous (August–September 2004) to the lion survey. With protected area staff we counted large mammals on foot along closed triangular shaped transects that were distributed systematically on a 9 × 9 km grid (with a random start point) over the study area (Fig. 1). For more details see Waltert et al. (Reference Waltert, Meyer, Shanyangi, Balozi, Kitwara and Qolli2008).
In October and November 2005 we conducted 13 calibration experiments to estimate the range and probability of lion responses to a playback sound (Mills et al., Reference Mills, Juritz and Zucchini2001). Between 18.30 and 22.00 we played a distress call of a buffalo with the speakers facing in the direction of a known number of lions. The vehicle with the audio equipment was parked a known distance (measured by a global positioning system) from the lions, and a second set of observers, in radio contact with the playback team, observed the lions. If the lions did not start moving towards the direction of the sound after a broadcast period of 5 minutes, we reduced the distance between the speakers and the lions in 200–500 m steps and repeated the procedure. When the lions moved towards the sound we recorded this as a response. For comparing response rates among different studies, we calculated effective area equivalents () according to Whitman et al. (Reference Whitman, Durant, Maddox, Laake, Packer and Whitman2006):
where r is the response range and the average response probability.
We surveyed lion abundance in the dry season months of August–November 2005. We used a standardized playback protocol (using the same sound as in the calibration experiment) to attract lions (Kiffner et al., Reference Kiffner, Waltert, Meyer and Mühlenberg2008). We recorded number of incoming lions and determined their sex. We visually estimated their age by direct observation and with the help of photographs. Size (Smuts et al., Reference Smuts, Robinson and Whyte1980) and nose colouration (Whitman et al., Reference Whitman, Starfield, Quadling and Packer2004) were used as criteria for grouping lions into age classes, according to Schaller (Reference Schaller1972). The calling stations were placed in the centres of the transects used for the prey species survey in the previous year. A second playback survey was conducted on the major roads along the border of (n = 9), inside (n = 14) and outside (n = 7) the Park. Calling stations for the road survey were 8 km apart and the first station was placed randomly. No playbacks were performed in proximity to known settlements (Fig. 1).
We modelled lion population size with a probability based model (Mills et al., Reference Mills, Juritz and Zucchini2001) in Mathematica v. 5.0 (Wolfram Research, Champaign, USA). We estimated the expected number of responding lions () within the response range by
where is the mean number of lions responding per station and the probability that lions approach the calling station. We directly observed during the survey and estimated with the calibration experiments. These experiments also provided information on response range, i.e. the radius of the circle in which lions were effectively lured. The population size was then calculated using the relation
where N T is the population size of lions in Katavi National Park, A T the total area of the Park, A S the circular area around a calling station, and the expected number of lions per station (Mills et al., Reference Mills, Juritz and Zucchini2001). Small lion cubs did not respond to the playback (Ogutu & Dublin, Reference Ogutu and Dublin1998) and hence population estimates excluded lions < 1 year old.
We used three regression models that relate prey biomass and lion density to estimate the ecological carrying capacity of the ecosystem for lions. The models were derived by pooling published data of prey biomass and lion density from different areas of southern and eastern Africa, and differed in the species considered to be prey. Model 1 was derived from Carbone & Gittleman (Reference Carbone and Gittleman2002) and Harvey (Reference Harvey2004), who considered all large herbivores as potential prey species: ln(lion density) = -6.81243 + 0.05652 * ln(prey biomass), R2 = 0.54, P < 0.0001. Model 2 is from Hemson (Reference Hemson2003), who excluded elephants, hippopotamus and giraffe as potential prey species: log(lion density) = -1.69216 + 0.80916 * log(prey biomass), R2 = 0.80, P < 0.0001. Model 3 is based on preferred and avoided prey species of lions in southern and eastern Africa (Hayward & Kerley, Reference Hayward and Kerley2005), for which Hayward et al. (Reference Hayward, O'Brien and Kerley2007) proposed a model restricted to preferred prey species (Table 1): log(lion density) = -2.158 + 0.377 * log(preferred prey biomass), R2 = 0.626, P < 0.001.
* Small antelope may include duiker Sylvicapra grimmia, Sharpe's grysbok Raphicerus sharpei, steenbuck Raphicerus campestris and oribi Ourebia ourebi
AAvoided prey species; CCommon prey species; PPreferred prey species (Hayward & Kerley, Reference Hayward and Kerley2005).
We used Spearman Rank tests to detect correlations between lion abundance, prey species abundance and distance to the nearest Park boundary. Distances were measured in the geographical information system ArcView v. 3.2 (ESRI, Redlands, USA). To investigate whether lion response was influenced by local abundance of potential prey species we correlated numbers of attracted lions with numbers of herbivores encountered in the previous year. We assumed that the distribution and relative abundance of herbivores was the same in both years. We also assumed that we came across herbivore species in the same manner as lions do; hence we used numbers of encountered individuals as proxies for local abundance of potential prey species. Logistic regression models were used to identify variables influencing lion response during the response experiment and during the survey. We used SPSS v. 15 (SPSS, Illinois, USA) for statistical analyses.
Results
In the prey species survey impala, zebra, topi and buffalo had the highest densities (Table 1). We estimated total herbivore biomass density at 6,339 kg km-2 with elephant, hippopotamus and giraffe contributing 64% of the biomass of larger herbivores. Removing these species yielded a mean biomass estimate of 2,307 kg km-2. The biomass of preferred lion prey species (Table 1) was estimated to be 2,056 kg km-2.
In the calibration experiment 24 of 39 tested lions responded to the playback sound, with a response probability of 0.62 ± SE 0.14 (Table 2). Lions either responded as a group or not at all, leading to a large standard error. The lions only responded from a distance of ≤ 3.5 km. A multiple logistic regression suggested using an average response probability. Neither distance between speakers and lions, tending of cubs, previous exposure to playback or possession of a carcass had a significant effect (all P-values > 0.05) on response probability. However, for estimating mean response probability, we excluded the four experiments with lions that had already been exposed to the sound. We thus estimated that lions within 3.5 km of the calling station responded with a probability of 0.68 ± SE 0.18, which is equivalent to responding within an area of 26.2 km2.
During the lion survey we recorded a total of 42 lions at 11 (26.8%) of the 41 stations. The number of attracted lions ranged from 0–15 with a mean of 1.02 ± SD 2.68 lions per station. Incorporating response range and extrapolating resulted in an estimate of 168 (77–439) lions or a density of 0.04 (0.02–0.10) lions km-2. During playbacks along roads, we observed 29 lions at six (20%) out of 30 calling stations. Along the border two lions were observed at one out of nine (11%) calling stations, giving a mean of 0.22 ± SD 0.67 lions per station. Within Katavi National Park, lions were observed at five out of 14 stations (36%), with 0–11 lions and a mean of 1.93 ± SD 3.6 lions per station. In the areas south of Katavi National Park (Lwafi Game Reserve and Open Areas) we neither observed nor heard lions at seven calling stations.
Based on the biomass density of all large herbivores estimated lion density corresponded to 25% (range 12–66%) of the predicted carrying capacity (Model 1a). To correct the population estimate for the non-responding small cubs, we added the share of small cubs in a reference area (22%, Maasai Mara: Ogutu & Dublin, Reference Ogutu and Dublin2002) to the estimate (Model 1b), accounting for 31% (14–81%) of the carrying capacity. The second model, which excluded most mega-herbivores indicated that the directly estimated lion density corresponded to 36% (17–96%; Model 2a) and 45% (21–117%; Model 2b) of the predicted carrying capacity. The model that only considered preferred prey species accounted for 32% (15–84%; Model 3a) or 39% (18–102%; Model 3b) of the predicted carrying capacity (Table 3).
ab Model a, lion density excluding small cubs; Model b, including small cubs (share of small cubs estimated at 22%; Ogutu & Dublin, Reference Ogutu and Dublin2002)
1 Based on Harvey (Reference Harvey2004), included all large herbivore species
2 Based on Hemson (Reference Hemson2003), excluded elephant, hippopotamus and giraffe
3 Based on Hayward et al. (Reference Hayward, O'Brien and Kerley2007), included buffalo, giraffe and zebra only
Number of responding lions was significantly correlated with the distance between calling station and the Park boundary (Spearman Rank correlation coefficient r = 0.355, P = 0.002, n = 72), thus indicating higher lion densities in core areas of the Park (Fig. 2). With the exclusion of playbacks outside the Park there was still a significant correlation between distance to the Park boundary and number of lions (r = 0.299, P = 0.016, n = 64). Similarly, abundance of all herbivores was significantly correlated with distance to the boundary, although at a species level this was significant for topi only (Table 4). Number of responding lions was not correlated with overall abundance of herbivores. However, number of responding lions was associated with local abundance of waterbuck. Numbers of responding lions were not correlated with abundance of their preferred prey species (buffalo, giraffe and zebra) but significantly more lions responded in areas with high local abundance of common prey species. This group of herbivores (eland, waterbuck, roan, bushpig, warthog, topi and hippopotamus) also significantly avoided edge areas of the Park (Table 4).
1 Significant values (P < 0.05) in italics
2 Small antelope may include duiker Sylvicapra grimmia, Sharpe's grysbok Raphicerus sharpei, steenbuck Raphicerus campestris and oribi Ourebia ourebi
3 See Table 1
In a logistic regression (stepwise backward elimination of insignificant variables), distance to boundary (Wald χ2 = 2.697, df = 1, P = 0.101) and abundance of common prey species (Wald χ2 = 3.990, df = 2, P = 0.136) were rejected as explanatory variables for the presence of lions. Presence of waterbuck was a significant variable (Wald χ2 = 7.165, df = 1, P = 0.007). The validity of the model was verified by the significance of the likelihood quotient (χ2 = 7.91, df = 1, P = 0.005, Omnibus test of model coefficients). The model explained 18.4% (Cox & Snell R2) or 26.4% (Nagelkerke's R2) of the variance.
Overall, the sex ratio of the sampled lions in the Park did not differ from that of a total count in Maasai Mara Reserve, Kenya (χ2 = 0.069, df = 1, P = 0.792), although in the sample in Katavi National Park considerably fewer subadult males were observed (χ2 = 4.840, df = 1, P =0.0278) than in Maasai Mara (Table 5).
Discussion
The direct lion density estimate was considerably lower than the carrying capacity of Katavi National Park for lions predicted using the three prey-biomass models (Table 3). This may indicate the presence of a top-down factor limiting the population (Carbone & Gittleman, Reference Carbone and Gittleman2002). One potential reason for this difference could be that the survey was biased. However, although we were not able to conduct playbacks at 15 of the designated sampling stations because of inaccessibility we believe it was appropriate to extrapolate to the entire area because we sampled 37% of the Park. Ogutu & Dublin (Reference Ogutu and Dublin1998) demonstrated that sampling 20% of an area yielded unbiased estimates for lions. In addition, we estimated population density of both prey species and lions with methods incorporating specific detection probabilities (Karanth et al., Reference Karanth, Nichols, Kumar, Link and Hines2004), and response of lions is neither biased by time of the night, moon phase or presence of spotted hyaenas (Kiffner et al., Reference Kiffner, Waltert, Meyer and Mühlenberg2008).
Another potential reason for the discrepancy between the survey and regression model estimates could be a biased detection probability calibration. However, although Whitman et al. (Reference Whitman, Durant, Maddox, Laake, Packer and Whitman2006) found that response of lions to spotted hyaena calls was biased by sex, age, presence of males and cubs, position of calling station relative to territory and group size, and that response probability declines with increasing distance between lions and speakers, our analysis did not show significant effects of the tested variables. The number of calibration experiments in our study was comparably low and hence the probability of committing a type II error (i.e. that there was an effect but it did not reach statistical significance) is high. We were not able to conduct more response experiments because we did not find previously untested lions in 3 additional days of intensive searches with two observer teams. However, the area equivalent of lion response (26.2 km2) was similar to response experiments with the same sound and comparable audio equipment in Krüger National Park (33.3 km2; Funston et al., Reference Funston, Ferreira, Snyman and de Beer2007). Nevertheless, we recommend conducting more playback experiments, as done by Whitman et al. (Reference Whitman, Durant, Maddox, Laake, Packer and Whitman2006).
Because we can exclude low prey availability as a factor limiting lions inside Katavi National Park there must be other factors limiting this lion population. Although the prey species survey was carried out in the previous year we are confident that abundance and local distribution of prey species did not differ markedly because there was similar surface water and vegetation distribution in both years. Competition with spotted hyaenas could be one limiting factor. Their numbers were estimated to be 741 (95% confidence limits 580–954; Kiffner, Reference Kiffner2006) thus outnumbering lions by a factor of 4.4. This numerical superiority enables spotted hyaenas to drive lions from their kills in the absence of a male lion (Cooper, Reference Cooper1991). We cannot rule out effects of diseases on lions in Katavi National Park, although we have no specific information on this issue. However, no observations indicative of disease have previously been made by protected area staff or researchers and disease is regarded as minor threat for this subpopulation (IUCN SSC Cat Specialist Group, 2006).
Lions were less abundant at stations near the boundary of Katavi National Park and were not detected outside. Ogutu et al. (Reference Ogutu, Bhola and Reid2005) proposed two, not necessarily exclusive, reasons for this: either non-detection indicates lower abundance or absence, or lions are present but respond with a lower probability. Caro (Reference Caro2005) showed that large mammals exposed to hunting pressure outside Katavi National Park are significantly more wary, and this could result in them not approaching the playback sound. However, lions are commonly hunted on foot and during daylight and thus waryness is unlikely to explain non responses to playbacks broadcasted exclusively at night and from a vehicle. Whitman et al. (Reference Whitman, Durant, Maddox, Laake, Packer and Whitman2006) conducted playback surveys in areas where lions were being hunted and observed 0.19–1.77 lions per station. Even though we used a more effective playback sound (hyaena calls used by Whitman et al., Reference Whitman, Durant, Maddox, Laake, Packer and Whitman2006, produced lower area equivalents: 11 km2 and 19 km2 for female and male lions) only two lionesses responded on the boundary and none south of the Park. In addition, neither direct counts (Caro, Reference Caro1999c) nor indirect spoor surveys detected lions in areas adjacent to the Park (Caro, Reference Caro2003). Lions were reported to be observed in these areas (Caro, Reference Caro2003) but because several methods failed to detect them, we conclude this is strong evidence that lion densities are low outside the Park.
An avoidance of less protected areas and edge areas of Katavi National Park by lions could be due to both natural and anthropogenic factors. Partly, this effect could be explained by lower prey species densities outside the Park. Katavi National Park was delineated according to high densities of umbrella species (Caro, Reference Caro2003) and overall wildlife abundance and consequently lion abundance should be lower outside the Park. Yet, lion abundance was not closely tied to prey species abundance, thus suggesting this parameter does not influence lion distribution per se. Presence of waterbuck, a species closely associated with presence of surface water (Stuart & Stuart, Reference Stuart and Stuart2001) was a predictor for lion presence. This association was probably incidental, because waterbuck is not a preferred prey species (Hayward & Kerley, Reference Hayward and Kerley2005). Hopcraft et al. (2003) showed that lions feed mainly in areas with high prey ‘catchability’ rather than high prey density, and such locations (with features such as erosion embankments, rocky outcrops and access to surface water) are also preferred by waterbuck. Caro (Reference Caro2005) showed that waterbuck are significantly less abundant in areas outside Katavi National Park, possibly because of inadequate habitat, and thus low abundance of lions there could be at least partly attributed to low availability of suitable habitat.
Caro et al. (Reference Caro, Pelkey, Borner, Severre, Campbell and Huish1998) suspected that trophy hunting of lions was unsustainable in Katavi National Park. Hunting quotas in adjacent areas amounted to 29 male individuals per hunting season (TANAPA/WD, 2004). We estimated that in the Park there were c. 16 (range 7–42) male lions above the recommended age for trophy lions (Whitman et al., Reference Whitman, Starfield, Quadling and Packer2004). Given that large herbivore biomass in Rukwa Game Reserve is c. 40% of the larger herbivore biomass of Katavi National Park (Waltert et al., Reference Waltert, Meyer, Shanyangi, Balozi, Kitwara and Qolli2008), the lion population in the Reserve was presumably significantly lower than in the Park. Hence, hunting quotas (Rukwa Game Reserve: 20 male lions) allowed unsustainable harvest of lions. This assumption is supported by the slightly skewed sex ratio, which could be interpreted as indication of an impact of selective, male-biased harvesting (Milner et al., Reference Milner, Nilsen and Andreassen2007). Caro (Reference Caro1999b) found a similar sex ratio among sub-adult and adult lions in Katavi National Park (0.27 males per females vs 0.20–0.40 in this study) but a differing sex ratio among cubs (0.32 vs 1.5–2.0). The observed sex ratio indicates that either mortality or emigration (or both) of young male lions is high. We hypothesize that this mortality may be caused by trophy and traditional hunting, eliminating young migrating lions outside the Park.
Our hypotheses were not rejected. The indirect estimates overestimated the lion population, suggesting that the lion population of Katavi National Park is below its ecological carrying capacity. Our results provide evidence that ecological factors (lower prey abundance, possibly less access to surface water) outside the Park contribute to the observed edge effects. Hunting of lions by humans in adjacent areas may be responsible for a skewed sex ratio and low abundance of lions in edge areas and outside the Park. To minimize negative effects on lion demography and abundance, offtake of trophy lions in Tanzania is now restricted to male lions with a minimum age of 6 years (Whitman et al., Reference Whitman, Starfield, Quadling and Packer2004; Reference Whitman, Starfield, Quadling and Packer2007). Compliance with this policy needs to be strictly controlled and the success of this hunting regulation should be measured by additional direct estimates of lion demography and abundance.
Overall, our study suggests that carnivore density derived from prey biomass equations should be interpreted cautiously, even for protected areas if these areas are subject to natural and anthropogenic edge effects, thus highlighting the need for direct assessments of lion density.
Acknowledgements
We acknowledge Tanzania National Parks and the Tanzanian Wildlife Division for their efforts in wildlife population assessment. We thank Hubert Krischke (GTZ/ECO-AGEG) for financial support. Thanks to the Katavi National Park garage staff, to the field crew L. Kinyonto, P. Mgangala, R. Simbamwene, G. Maronda and M. Mgangala, and P. Funston for providing the playback file. We thank C. Blum and C. Staley for help with the manuscript, and T. Caro, P. Funston, L. Hunter, C. Kleinn, M. Kiffner, G. Mills, C. Packer, F. Rühe, K. Whitman, W. Zucchini and two anonymous referees for advice and comments.
Biographical sketches
Christian Kiffner studied the distribution and abundance of large carnivores and herbivores in the Katavi ecosystem using innovative and non-invasive methods. His research is now focused on understanding the ecology and dynamics of tick and rodent borne diseases in Germany. Britta Meyer planned and implemented the ecological monitoring programme for the Katavi-Rukwa-Ecosystem. Michael Mühlenberg's research focuses on conservation strategies in the tropics and the boreal zone and on international nature conservation. Matthias Waltert is working on the impacts of deforestation and land use on tropical biodiversity. He worked on improving wildlife population assessments in West and East Africa and coordinates an interdisciplinary research project linking wildlife management and livelihoods in Cameroon and Nigeria.