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ECOLOGY & ETHOLOGY

Distribution modelling of wild rabbit hunting yields in its original area (S Iberian Peninsula)

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Pages 161-172 | Published online: 25 Apr 2008

Abstract

In this work we used the information of the Annual Hunting Reports (AHRs) to obtain a high‐resolution model of the potential favourableness for wild rabbit harvesting in Andalusia (southern Spain), using environmental and land‐use variables as predictors. We analysed 32,134 AHRs from the period 1993/2001 reported by 6049 game estates to estimate the average hunting yields of wild rabbit in each Andalusian municipality (n = 771). We modelled the favourableness for obtaining good hunting yields using stepwise logistic regression on a set of climatic, orographical, land use, and vegetation variables. The favourability equation was used to create a downscaled image representing the favourableness of obtaining good hunting yields for the wild rabbit in 1×1 km squares in Andalusia, using the Idrisi Image Calculator. The variables that affected hunting yields of wild rabbit were altitude, dry wood crops (mainly olive groves, almond groves, and vineyards), temperature, pasture, slope, and annual number of frost days. The 1×1 km squares with high favourableness values are scattered throughout the territory, which seems to be caused mainly by the effect of vegetation. Finally, we obtained quality categories for the territory by combining the probability values given by logistic regression with those of the environmental favourability function.

Introduction

The European wild rabbit (Oryctolagus cuniculus Linnaeus 1758) is a lagomorph species native to the Iberian Peninsula. Its range expanded naturally to most of continental Europe, and the species has been widely introduced by man in other insular and continental areas throughout the world (Villafuerte et al. Citation1993; Monnerot et al. Citation1994; Homolka & Zima Citation1999). It is a keystone species in the Iberian Mediterranean ecosystems, where it is the staple prey of at least 29 species of predators (Delibes & Hiraldo Citation1981), among them the Iberian lynx (Lynx pardinus) and the Spanish Imperial Eagle (Aquila adalberti), which are endemic to the Iberian Peninsula and included among the most threatened species in the world (Delibes et al. Citation2000; Ferrer Citation2001). Rabbits occur throughout the Iberian Peninsula, except in mountainous areas over 1500 m (Flux Citation1994; Villafuerte Citation2002), but the distribution of their abundance is spatially heterogeneous (Brown et al. Citation1995; Keitt et al. Citation2002).

The wild rabbit is one of the most appealing small game species for Spanish hunters (Vargas & Muñoz Citation1996). Their populations in Spain have declined sharply during the second half of the last century due to the arrival of myxomatosis, in the mid 1950s, and the viral haemorrhagic disease in the late 1980s (Beltrán Citation1991). Both diseases caused a substantial reduction in wild rabbit population density and significant changes in their distribution (Muñoz Citation1960; Villafuerte et al. Citation1995; Calvete et al. Citation2002). According to Villafuerte et al. (Citation1997), the current numbers of wild rabbits in the Iberian Peninsula are the lowest in decades. Concordantly to counts, hunting bag records also indicate a progressive decrease in the number of rabbits captured in Spain: For instance, the number of rabbits hunted in Spain decreased from more than 10 million in 1986 to four millions in 2000 (Statistics National Institute Citation2006).

Andalusia (southern Spain) is one of the Spanish regions with the greatest game tradition, including nearly 9000 game estates that cover more than 90% of the territory (Guirado & Ortega Citation2002), with about 250,000 hunting licences issued annually during the last 15 years (Junta de Andalucía Citation2003). According to official statistics, about 1.5 million rabbits are hunted in Andalusia per year (Junta de Andalucía Citation2004). This has resulted in the transformation of game, during the last decades, into a profitable activity (Lucio & Purroy Citation1992), to the point that it may become an alternative economic activity in rural areas with marginal agriculture and stockbreeding uses (Fungesma Citation2001; Vargas Citation2002). The Andalusian territory is heterogeneous, which means that local hunting yields of rabbits vary widely among regions (Farfán et al. Citation2004). Because of this, it is necessary to explore the game potential of different parts of the territory to improve the regional planning of game activities. This would be useful to identify areas of interest for raptors and carnivores that prey on the rabbit, as rabbit abundance is important for many of them. Looking for new formulas to make game activities compatible with the conservation of the rabbit is also essential for several threatened predator species (Palma et al. Citation1999; Rodríguez & Delibes Citation2003).

Farfán et al. (Citation2004) studied the capture intensity of game mammals throughout Andalusia as a first step to optimise game management on a regional scale. They analysed mean annual hunting yields in each Andalusian municipality (n = 771) during the period 1993/2001. The basic information was obtained from the mandatory Annual Hunting Reports (AHRs) that the game estates must submit to the regional government after each hunting season. They also modelled hunting yield favourableness for the wild rabbit in the Andalusian municipalities.

Our main objective was to identify areas favourable for obtaining good hunting yields of the wild rabbit in Andalusia, suitable for establishing future recovering areas for the species that could help to maintain or increase its population density. With this aim, we used the information available in the AHRs to downscale a model of the potential favourableness for rabbit harvesting in 1×1 km squares in Andalusia, using environmental and land‐use variables as predictors.

Materials and methods

Study area

Andalusia, one of the 17 Spanish autonomous regions, covers more than 87,000 km2 in the southernmost part of mainland Spain, and is administratively divided into eight provinces and 771 municipalities. The main mountain ranges are Sierra Morena, along the northern fringe of the region, and the Betic System, sub‐divided into two ranges, Sub‐betic and Penibetic, which are NE–SW‐oriented and occupy mainly the eastern part of the region. The most important plain is the Guadalquivir valley, which is longitudinally oriented between Sierra Morena and the Betic System (Figure ). Its climate is Mediterranean, with mild winters and severe summer droughts. Mean annual temperature ranges from 9.8°C to 19.4°C (Font, Citation2000). Rainfall is highly heterogeneous, with a marked decreasing gradient of precipitation from west to east (minimum of 170 mm and maximum of 1800 mm of precipitation). Of the Andalusian land area, 47% is used for agriculture. Olive groves, which occupy 15% of the Andalusian territory, and cereals, cultivated in 11% of the territory, are the main crops, both of them fundamentally for dry farming. Thirty‐eight per cent of the agricultural land is mountainous, and mountain crops are generally restricted to the inner valleys or to hillsides of little slope.

Figure 1 Study area. It is shown in schematic form the main mountain ranges(Sierra Morena and the Betic System, sub‐divided into two ranges, Subbetic and Penibetic) and the most important river (Guadalquivir river).

Figure 1 Study area. It is shown in schematic form the main mountain ranges(Sierra Morena and the Betic System, sub‐divided into two ranges, Subbetic and Penibetic) and the most important river (Guadalquivir river).

Variables

We analysed 32,134 AHRs from the period 1993/2001 reported by 6049 game estates distributed throughout the Andalusian municipalities, with information covering between four and nine hunting seasons for each municipality. As the digital maps of the game estates were not available, we ascribed each game estate to its corresponding municipality and estimated the average hunting yields of rabbit (HY) in each Andalusian municipality (n = 771), according to the following equation:

where HY is the hunting yield per municipality, in terms of the number of rabbits captured/100 ha of game estate.

As our aim was to detect areas favourable to obtaining high hunting yields, as opposed to predicting expected hunting yield values, we followed the criterion of Farfán et al. (Citation2004) and Vargas et al. (Citation2006) and considered a value of HY = 20 as the threshold between Andalusian municipalities with good yields and those with poor yields. Then we produced a new binomial variable, good hunting yield (GHY), with a value of 1 in the municipalities with HY>20 and 0 in those with HY⩽20, to be used as target variable in the modelling procedure.

We related GHY to 39 predictor variables that inform about the environmental characteristics, land use, and vegetation in the Andalusian municipalities (Table ). ALTI is released as a digital coverage by the Land Processes Distributed Active Archive Center, located at the US Geological Survey's EROS Data Center (http://LPDAAC.usgs.gov). SLOP was calculated from altitude using the Idrisi SLOPE command (Eastman Citation2004). Climatic variables data (from HJAN to PIRR) result from records of 30 years and are mostly considered to be representative of present climatic conditions (Font Citation2000) and were digitised using CartaLinx 1.2 and processed using Idrisi32 (see Barbosa et al. Citation2003 for a detailed explanation on the digitising methods). The variables related with land use and vegetation cover (IHER through DS) were obtained by transforming the corresponding digital polygons into raster images. All variables were rasterised with a spatial resolution of 1 pixel = 1 km2, which implies approximately 87,600 data for each variable. For land use variables, each pixel was assigned to the dominant land use. Finally, we extracted the mean value of the quantitative variables and the proportion of each type of land use and vegetation cover for each municipality.

Table I. Variables available to model the potential distribution of wild rabbit hunting yields in Andalusian municipalities.

We used these variables to assess the variation in hunting yields due to the overall action of environment and human activity. We did not include spatial variables because they can reveal a geographical trend in distribution that does not reflect the spatial structure of the environmental predictor variables (Borcard et al. Citation1992; Diniz‐Filho et al. Citation2003; Kühn Citation2007), but to historical events or to migrations (Legendre Citation1993; Barbosa et al. Citation2001; Real et al. Citation2003), which are outside management scope. Models constructed with this kind of variables may have the same validity as those where the spatial autocorrelation is considered (Diniz‐Filho et al. Citation2003).

Predictive models

To select a subset of significant predictor variables we performed stepwise logistic regression (Hosmer & Lemeshow Citation1989) of GHY on each variable separately, using the SPSS 10.0 statistical software. We dealt with the familywise error rate (i.e. the increase of type I error under repeated testing) by controlling the false discovery rate (FDR) (Benjamini & Hochberg Citation1995; García Citation2003) using the procedure for all forms of dependency among test statistics proposed by Benjamini and Yekutieli (Citation2001). We used the variables that were significant under a FDR of q<0.05 to build a stepwise multiple logistic regression model of the distribution of good hunting yields, and the step with the best Akaike's information criterion (AIC) score was selected (Akaike Citation1973). Then we used the environmental favourability function described by Real et al. (Citation2006) to eliminate from the model the effect of the uneven proportion of ones and zeros in the data set. The favourableness for a good hunting yield in each municipality is obtained from the formula:

where P is the probability value given by logistic regression, and n 1 and n 0 are the number of municipalities with good and poor hunting yields, respectively (Real et al. Citation2006). This function provides a description of local deviations from the overall probability of obtaining good hunting yields. This implies that, for example, a value F>0.5 means that the probability of obtaining good hunting yields, expected according to local environmental conditions, is higher than that expected according to the prevalence of reported good hunting yields in the territory.

To obtain an explanatory model, the variables introduced in the final predictive model were grouped in orographical, climatic and vegetation factors (Table ), and we used each group of variables to obtain partial orographic, climatic, and vegetation favourableness models. To take into account interactions between these factors, which often result in an overlaid effect in space due to colinearity between them (Borcard et al. Citation1992; Legendre Citation1993), we performed a variation partitioning procedure to specify how much of the variation of the final model () was explained by the pure effect of each explanatory factor, and which proportion was attributable to their interrelationships (Legendre Citation1993; Legendre & Legendre Citation1998). The part of the variation of the final model explained by each factor () was obtained by regressing the values obtained in the final model on those yielded by each partial favourableness model. The amount of variation explained by each pair, trio, etc. of factors () may be obtained by regressing the final model values on those yielded by the favourableness models using these factors together. Then, the pure effect of each factor () may be assessed by subtracting the variation explained by the others factors together from the variation explained by the final model (). The variation attributable to the exclusive interrelationship of pairs of factors () may be obtained by subtracting from the pure effect of the two factors () and the variation explained by the other factors together (). The variation attributable to interrelationships among trios, quartets, etc., may be obtained analogously by subtraction (see Whittaker Citation1984; Legendre & Legendre Citation1998).

The favourability equation was used to create a downscaled image representing the favourableness of obtaining good hunting yields for the wild rabbit in 1×1 km squares in Andalusia, using the Idrisi Image Calculator. Analogously, we also downscaled the partial climatic, orographic, and vegetation models. Consequently, all the inferences were made at the municipality level, with 771 independent samples, and the models at 1×1 km resolution are deductive model derived from the former, inductive model. The response variable in the municipal model is referred to as hunting yield per 100 ha, so that we assumed it is transferable to 1×1 km squares (since 100 ha = 1 km2).

Finally, we obtained quality categories for the territory by combining the probability values given by logistic regression with those of the environmental favourableness function (Table ). For both probability and favourableness we established three categories, good for values higher than 0.75, intermediate for values between 0.25 and 0.75, and bad for values lower than 0.25. The combination of these ranges produces five quality categories for the territory according to their favourableness for obtaining good hunting yields and the probability of actually obtaining them. If an area has a good probability and a good favourableness for obtaining good hunting yields, then it is considered as “very good”, if both probability and favourableness are intermediate then the area is also “intermediate”, and if both are bad then the area is “very bad”. When either the probability or the favourableness is good and the other is intermediate then the area is considered as “good”, and when one of them is bad and the other is intermediate the area is “bad”. We applied these quality categories to the 1×1 km squares of Andalusia, and represented them in a map to show the exact location of good and bad areas within the municipalities.

Table II. Quality categories established to classify the areas according to the probability and the favourableness for obtaining good hunting yields.

Results

The logit function of the logistic regression model, with the variables ranked according to their order of entrance in the model and variables abbreviations as in Table , is the following:

The municipalities favourable for obtaining good hunting yields of wild rabbits in Andalusia, according to these variables, tend to be aggregated (Figure ).

Figure 2 Municipalities holding good hunting yields(GHY) in Andalusia (in dark).

Figure 2 Municipalities holding good hunting yields(GHY) in Andalusia (in dark).

The relationship among explanatory factors was complex (Figure ). The effect due to the interrelationship between vegetation and orography was positive, as well as the effect due to the interrelationship among vegetation, orography and climate together. This means that the characteristics of these factors that favour good hunting yields tend to be present simultaneously. However, the effect due to the interrelationship between climate and orography after excluding the effect of vegetation was negative, as was also the case of the effect due to the interrelationship between climate and vegetation after excluding the effect of orography. From a mathematical point of view, these negative values measure the amount in which the effect of a factor is obscured by another factor through interrelationships between variables (Cartron et al. Citation2000; Bárcena et al. Citation2004). This means that the favourable climatic conditions tend not to coincide with the favourable orographic conditions given constant vegetation, or with the favourable vegetational conditions given a constant orography.

Figure 3 Variation partitioning of the final model. Values shown in the diagrams are the percentages of variation in good hunting yield explained by the indicated factors and by their interactions.

Figure 3 Variation partitioning of the final model. Values shown in the diagrams are the percentages of variation in good hunting yield explained by the indicated factors and by their interactions.

The most favourable areas for wild rabbit hunting yields are mainly located along the Guadalquivir slope of the Subbetic Range. However, the 1×1 km squares with favourableness values higher than 0.8 are scattered throughout the territory (Figure ).

Figure 4 A, Favourableness values for wild rabbit good hunting yields in each 1×1 km square of Andalusia, shown on a scale ranging from 0 (white) to 1 (black). B, Only the 1×1 km squares where the favourableness to obtain good hunting yields is higher than 0.8 are shown (in black). Black lines correspond to province limits.

Figure 4 A, Favourableness values for wild rabbit good hunting yields in each 1×1 km square of Andalusia, shown on a scale ranging from 0 (white) to 1 (black). B, Only the 1×1 km squares where the favourableness to obtain good hunting yields is higher than 0.8 are shown (in black). Black lines correspond to province limits.

The models obtained for the orographical, climatic, and vegetation factors separately suggest that the scattered nature of good hunting yields seems to be caused mainly by the effect of vegetation (Figure ).

Figure 5 Favourableness maps predicted by the orographical(A), climatic (B) and vegetation (C) factors in each 1×1 km square of Andalusia.

Figure 5 Favourableness maps predicted by the orographical(A), climatic (B) and vegetation (C) factors in each 1×1 km square of Andalusia.

Figure shows the quality category of each 1×1 km square of Andalusia according to the categories established in Table .

Figure 6 Quality category of each 1×1 km square of Andalusia according to the categories established in Table .

Figure 6 Quality category of each 1×1 km square of Andalusia according to the categories established in Table II.

Discussion

Relation between hunting yield and rabbit abundance

Although density and hunting yield are not always equivalent parameters (Lucio 1991), hunting yields obtained from AHRs have been shown to provide a sufficiently realistic image, at a macrospatial scale, of good and poor areas for a species (Farfán et al. Citation2004; Vargas et al. Citation2006, Citation2007). Therefore, the use of reported hunting yields is an easy and cheap method for assessing relative abundances of wild rabbits at a regional scale, when relative abundance values per unit area are scarce. However, hunting yields are affected by human‐induced land use, and not only reflect favourable environmental conditions for the rabbit, which is why we included land‐use variables in our models.

Hunting yields are also affected by rabbit restocking, which is carried out with increasing frequency and partially masks the actual local scarcity of native individuals. If, for example, restocking activities were concentrated in few areas of low density, they could mask the actual population level and productivity and the results of the analyses would be correspondingly biased. However, this effect, although certainly existing, is likely to be small, as official reports indicate that rabbit farms in Andalusia produce about 15,000 wild individuals for restocking purposes per year (Vargas Citation2002), which represent only 2% of the total number of rabbits hunted. Many of the animals released were translocated from high‐density game estates of Andalusia and Extremadura, but the mortality among these individuals is very high (Letty et al. Citation2002; Calvete & Estrada Citation2004), so their effect on the values of hunting yield is not likely to be high.

The scattered distribution of good hunting yields

The municipalities with good hunting yields are clumped in several homogeneous groups located mainly in the Guadalquivir valley, along the axis of the Subbetic Range, and in certain areas of Sierra Morena. However, our downscaled favourableness model (Figure ) predicts a patchy distribution of the areas with high favourableness for good hunting yields of rabbit, which suggests that only some areas within each municipality are highly favourable for obtaining good hunting yields for this species. In fact, very good squares are scattered throughout the territory (Figure ). This may reflect a current spatial trend of wild‐rabbit demography, as Villafuerte et al. (Citation1995) found that, all over Spain, the rabbit haemorrhagic disease has particularly affected sub‐optimum territories leaving populations with high rabbit density restricted to disperse patches of high quality habitat.

Other causes not reflected in our models, such as the widespread fragmentation of agricultural landscapes, may have contributed to this spatial pattern by causing many rabbit populations to become fragmented, and consequently, more vulnerable to demographic and environmental risks (Trout et al. Citation1992; Marchandeau et al. Citation1998; Letty et al. Citation2002). In the Iberian Peninsula, human‐induced habitat changes and excessive hunting pressure have also been reported to make a dent in local rabbit abundance (Diamond et al. Citation1987; Beltrán Citation1991).

The partial climatic, orographic, and vegetation models

According to our model, the areas most favourable for obtaining good hunting yields for the wild rabbit in Andalusia occur in low altitude plains with mild summers and warm winters and a combination of dry wood crops and pasture. These results are in accordance with the type of environment where the highest densities of the species are detected in nature. Villafuerte (Citation2002) and Calvete et al. (Citation2004), for example, reported the wild rabbit to be linked mainly to cultivated areas with low slope and arid weather characterised by warm winters, and altitude is considered a limiting factor for this species (Ballesteros Citation1998, but see Flux Citation2001).

Orography is the most important factor explaining the distribution of good hunting yields in Andalusia. However, this factor, which may affect both the rabbit and the hunters, as steep terrain is generally avoided by hunters, is difficult to manage.

Figure suggests that vegetation, an easier factor to manage, is responsible for the patchy distribution of good hunting yields. The high pure effect of vegetation on the final model (see Figure ) should be taken into account in the management of this species. Calvete et al. (Citation2004), for instance, pointed out that rabbits in Mediterranean areas feed mainly on crops, and Boag (Citation1987) found that vegetation cover and land use are determinant in the presence and abundance of rabbits.

The negative interrelation of pure climate with pure vegetation and pure orography indicates that given the same orographical condition the effects of climate and vegetation on good hunting yields oppose one another, and in the same vegetational structure the effects of climate and orography are discordant. That is to say, in plain areas dry wood crops and pasture (favourable for the rabbit) tend to be located in terrains that support harsh summers and winters (unfavourable for the species), and in areas with dry wood crops and pasture mild summers and winters occur in elevated and steep terrain (unfavourable for the rabbit).

Implications in management and conservation

An important consequence of the decline in rabbit numbers has been an increase in extensive and usually illegal persecution of predators (Villafuerte et al. Citation1998), a tendency that will probably be difficult to reverse as long as the density of rabbits, and the corresponding hunting success, remain low (de Juana Citation1989; Reynols & Tapper Citation1996).

Sierra Morena, the mountain chain that crosses Andalusian northern region, supports the two most endangered Iberian predators, the Iberian imperial eagle (Aquila adalberti) and the Iberian lynx (Lynx pardinus), both of which prey on rabbits. Traditional land uses favourable for the rabbit have been abolished in many protected areas (Machado Citation1988) and rabbits, which were previously abundant (Servicio de Pesca Continental, Caza y Parques Nacionales Citation1968), have declined. In fact, according to our model, many of these areas have ceased to be favourable for rabbit hunting. Long‐term conservation plans for the above‐mentioned predators should not be based on the periodical release of rabbits in their territories, since the population density of this species in particular, and game species in general, depends fundamentally on the characteristics of their habitats (Tapper & Barnes Citation1986; Palomares et al. Citation1996; Panek & Kamieniarz Citation1999; Herranz et al. Citation2000).

The scarcity of rabbits entails an economic problem in areas where it is valuable as traditional game species (Moreno & Villafuerte Citation1995). This may be exacerbated by excessive hunting pressure, a fact that hunters themselves acknowledge (Vargas & Muñoz Citation1996). About 75% of Andalusian game estates implemented self‐imposed hunting restrictions to improve rabbit populations (Vargas et al. Citation2004), particularly in areas of high rabbit abundance (Angulo & Villafuerte Citation2003).

On the other hand, the current dates of the hunting season have a negative impact on rabbit abundance (Smith & Trout Citation1994). The current hunting season for the rabbit in Andalusia involves two periods: from mid July to mid September, after the rabbit breeding season, and from mid October to the end of November, at the beginning of the reproductive activity. The first period was historically aimed at avoiding crop damage (REGHAB Citation2002), because the wild rabbit has traditionally been considered a pest species for agriculture, due to the damage it caused to local herbaceous crops and to young plantations of woody crops (Duarte et al. Citation2002; Angulo & Villafuerte Citation2003). However, in the current low‐density situation, only in some places it is necessary to control its populations (Drollette Citation1996; Hone Citation1999; Angulo Citation2001). The second period has been traditionally considered the main rabbit hunting period. Hunting in summer optimises hunting harvest while conserving rabbit populations (Gonçalves et al. Citation2002), but in October–November it has a detrimental effect on rabbit populations and hunting bags, as it precedes reproduction (Angulo & Villafuerte Citation2003). Because of this, almost half the hunters in Andalusia disagree with the current hunting season (Vargas & Muñoz 1996; Angulo & Villafuerte Citation2003). However, Lande et al. (Citation1997) showed that the detrimental effect of hunting on rabbit conservation is higher in areas with low abundance, as population stability is reduced. In these poor‐quality populations, the hunting season has a weaker effect than hunting pressure on the population growth rate (Angulo & Villafuerte Citation2003). In spite of this, neither hunters nor the Andalusian Government usually apply hunting restrictions in areas of low rabbit density.

We agree with the recommendation of Angulo & Villafuerte (Citation2003) that management agencies in Andalusia should review the rabbit hunting policy, adapt it to the current situation, and implement measures in accordance with hunters to conserve rabbit populations in areas of low rabbit abundance. The favourableness model (Figure ) and the combined image of favourableness and probability (Figure ) are useful tools that should be considered in future management plans of this species to reach this objective. For a rare species it is difficult to obtain good hunting yields even in favourable areas, whereas for common species the probability of obtaining good hunting yields is high in areas with intermediate favourableness. We believe that, to reach a more realistic regulation of game pressure, it is necessary to apply a differential management policy in areas with optimal and suboptimal densities, on the basis of the characteristics of the different regions. To reverse the regressive trend of the wild rabbit it is necessary to apply game management at a regional scale, confronting the problems under a macro‐spatial perspective and carrying out joint actions comprising large and environmentally homogeneous territories. Technical Hunting Plans and Annual Hunting Reports are useful information sources for researchers, officials, and game managers who work to obtain more effective and sustainable game management models.

Acknowledgements

This work was financed by the Consejería de Innovación, Ciencia y Empresa de la Junta de Andalucía (Research Project P05‐RNM‐00935). A.M.B. was supported by a doctoral grant from Fundacão para a Ciêcia e a Tecnologia, Portugal. We also thank the Consejería de Medio Ambiente de la Junta de Andalucía for supplying the Annual Hunting Reports, and Rafael Villafuerte for his suggestions to a previous version of the manuscript.

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