Printer Friendly

Forecasting the range expansion of a recolonising wild boar Sus scrofa population.

Recovery of the original range of native mammals is in progress in many industrialised countries. Many large wild mammal species became extinct regionally due to hunting and human settlement during the industrialisation, but they have been recolonising and recovering their geographical ranges since the 1990s. For example, the cougar Puma concolor, extinct from the mid-western and eastern United States in the early 1900s, is now recolonising these areas (Beier 2009). Sika deer Cervus nippon, wild boars Sus scrofa, Japanese monkeys Macaca fuscata and bears Ursus arctos and U. thibetanus had disappeared from many regions in Japan, but recently, they have been recovering their native ranges (Tsujino et al. 2010).

Wild boars were extinct in the Chiba Prefecture, Japan, in the 1970s (Chiba Prefecture & Deer Research Group on Boso 2001). Later, probably due to release for hunting, a new naturalised population began to spread. The first wild boar from this new population was captured in 1986, and the number of captures has increased rapidly since then. These newly appearing wild boars are believed to originate from other regions in Japan (Chiba Prefecture & Deer Research Group on Boso 2001). Crop damage by wild boars is also increasing (Chiba Prefecture & Deer Research Group on Boso 2001, Kitazawa & Asada 2010). In 2007, a small, isolated, naturalised population was found in the northern part of the prefecture, where agriculture is economically important, and this was considered to be a new release (Asada 2012).

The geographical range expansion of these recolonising native animals can be predicted using the same methods as those used for controlling alien species (e.g. Lurz et al. 2001, Koike 2006, Fukasawa et al. 2009, Koike & Iwasaki 2011). Observation of the correct population densities and parameters is difficult, and much effort is needed to obtain them (Koike 2006). Therefore, we used simple range-expansion modelling using distribution maps for different years, without population densities and parameters.

Recolonising native mammals often cause damage, such as livestock predation by the cougar and crop damage by wild boars and sika deer. To implement adequate management for reducing damage, the economic contribution of management programmes should be projected at an early stage. Moreover, if their future distribution can be predicted, effective damage control measures can be scheduled beforehand to prevent the onset of damage (Saito et al. 2012). In our study, we estimated the potential habitat suitability and dispersal ability of the wild boar in the Chiba Prefecture, Japan, using the range-expansion modelling developed by Fukasawa et al. (2009). We predicted the future range expansion of wild boars using simulations, and we evaluated the economic outcome of removing the small new population found in 2007.

Material and methods

Study area

Our study was conducted in the Chiba Prefecture (covering 5,156 [km.sup.2]), Japan (Fig. 1). The climate in the area is classified as warm-temperate with a monthly mean temperature of 4-25[degrees]C and a mean annual precipitation of 200-240 cm. Altitudes range from approximately 0 to 408 m a.s.l. Forests cover about 30% of the prefecture. The southern part is hilly and mainly covered by forest. The current vegetation is abandoned deciduous coppice forests of Konara oak Quercus serrata and conifer plantations of Japanese cedar Cryptomeria japonica (Kabaya 1975). Potential natural vegetation is considered to be evergreen broadleaf forest dominated by evergreen oaks and warm-temperate conifers such as Japanese evergreen oak Quercus acuta, bamboo-leafed oak Quercus myrsinaefolia, Japanese chinquapin Castanopsis sieboldii and Japanese fir Abies firma (Miyawaki & Okuda 1976). Agricultural land predominates in the northeastern part of the prefecture, whereas the northwestern part is mainly characterised by suburban residential areas.

Wild boar distribution and environment

We divided the Chiba Prefecture into 3 X 3-km grids (900 ha) as the unit habitat of our metapopulation model (see Fig. 1). The grid size covers the average home range of the wild boar, which is 100-800 ha (100% maximum convex polygon method by Singer et al. 1981, Coblentz & Baber 1987, Sweitzer et al. 2000, Sodeikat & Pohlmeyer 2003, Keuling et

al. 2008).

In the Chiba Prefecture, although existing records of wild boar are poor, there are, however, some years for which nuisance-hunting-location data exist. Nuisance control by hunting has been conducted by local agencies to reduce crop damage by wild boars having caused severe damage to rice paddies and other crops. We used these hunting-location data to analyse the geographical distribution from 2002 to 2007 (Nature Conservation Division, Environmental and Community Affairs Department, Chiba Prefecture, Japan, unpubl. data). We also used the hunting locations in 2010 (Nature Conservation Division, Environmental and Community Affairs Department, Chiba Prefecture, Japan, unpubl. data) for model validation and as the initial state of simulation. We treated the 3-km grids with nuisance-hunting-location data as 'presence'-grids of the wild boar population (Fig. 2). Because the sizes of 3-km grids (900 ha) are sufficiently large to evaluate wild boar movement, we could also cover existing areas without crop damage. The distribution of areas with low wild boar densities and no crop damage may be wider than the detected range because nuisance control has not yet been conducted. Consequently, our analysis predicts the range expansion of the high or intermediate density front and is thus suitable for damage prediction.

We used a vegetation map (Ministry of the Environment 1999) to evaluate boar habitat. We obtained data on percentage of forest area, agricultural area and urban area in each 3-km grid. To avoid multicollinearity, we conducted a principal component analysis (PCA) based on these variables. In a preliminary PCA, a larger value of principal component 1 (PC1) represented a high forest cover (Table 1); a larger value of principal component 2 (PC2) was related to urban landscape, whereas a lower value of PC2 was related to agricultural landscape (see Table 1). Thus, we used the scores of PC1 and PC2 from the results of the PCA as environmental variables. We evaluated the product of percent of forest and agricultural areas as an indicator of the forest/agriculture ecotone. This product will be large if the area is an even mixture of forest and agricultural areas. As an indicator of urban areas, we estimated the human population density (i.e. people/[km.sup.2]) on the basis of 2005 census data (Ministry of Internal Affairs and Communications 2010). We conducted these analyses using ArcInfo 9.3 and the 'princomp' function of the 'stats' package in R 2.11.0 (R Development Core Team 2010).

Range-expansion model

When wild boars are expanding their range, an empty grid will be occupied only if two conditions are satisfied. First, the habitat must be suitable for wild boars; second, the wild boar population must arrive at the focal grid from the source population (Fukasawa et al. 2009). Thus, the probability that wild boars will occur in a given grid ([Z.sub.i]) is the product of two probabilities: the probability that wild boars can inhabit the grid's environment (habitat suitability, pi) and the probability that the founder wild boars will arrive at the site during one time step (the probability of dispersal, [q.sub.i]):

[Z.sub.i] = [p.sub.i] x [q.sub.i] (1).

The potential habitat suitability ([p.sub.i)] is determined by the land use within the focal grid. To describe this factor, we assumed the logistic function that is often used as resource selection probability function (RSPF) with good fitness (Lele & Keim 2006, Keim et al. 2011):

[p.sup.i] = 1/[1 + exp(- ([[alpha].sub.0] + [summation over (j)][[alpha].sub.j][X.sub.ij]))] (2)

where [[alpha].sub.j] is the regression coefficient, [X.sub.ij] represents the jth environmental variable (j = 1 for PC1, j = 2 for PC2, j = 3 for the product of percent of forest and agricultural areas, j = 4 for human population density) at grid i.

We assumed that the dispersal probability ([q.sub.i]) is determined by the distance from the nearest grid already occupied by a wild boar population (i.e. the source grid). The closer an empty focal grid is to the source grid, the greater the immigration probability. Thus, we used an exponential function:

[q.sub.i] = exp([beta][D.sub.i]) (3),

where [D.sub.i] is the distance from the nearest source grid to the focal grid i, and [beta] is a regression parameter that determines the shape of the exponential kernel. We used the centre-to-centre distance to calculate the distance between two grids. If the focal grid was already occupied by wild boars, [D.sub.i] is considered to be zero and [q.sub.i] becomes unity. Because equation (3) did not assume new artificial release, we excluded a grid in the northern part of the prefecture, where wild boars were naturalised in 2007 probably by a new release (see Fig. 2), from the parameterisation.

We fitted the model using maximum-likelihood estimation with the Newton-type non-linear minimisation function 'nlm' in R 2.11.0 (R Development Core Team 2010). In variable selection, we performed a best model selection procedure based on Akaike's information criterion (AIC). We iterated this model selection procedure 2,000 times using a randomly resampled data set (bootstrapping target grid), and obtained a set of 2,000 optimised parameters. We obtained the 95% confidence interval of parameters using this bootstrap method.

Range-expansion simulation and model validation

We predicted the future distribution by simulations using the best range-expansion model. We calculated the probability that a wild boar population was present in each grid using equation (1) and determined the ' presence' or ' absence' stochastically, using a random number. Since one simulation gives either 'presence' or 'absence', we iterated this simulation 500 times to calculate the incidence probability for each grid. In order to evaluate the uncertainty of parameters, we iterated all of the simulations 500 times. In these simulations, we randomly selected a parameter set from 2,000 sets of parameters obtained by the above 2,000-iteration bootstrap method. We used a given parameter set throughout the simulations to determine incidence probability. We determined the median and interquartile points (25th and 75th percentile) of the incidence probability. A small interquartile range indicates a reliable prediction.

To validate the best range-expansion model, we evaluated the accuracy of the simulation by the area under the receiver operating characteristic curve (AUC), the correct classification rate (CCR) between observed values in 2010 (see Fig. 2) and the predicted values (median incidence probability) in 2010 after the distribution in 2007. The AUC evaluates how well model predictions discriminate between locations where observations are present and absent, and it is one of the most widely used threshold-independent evaluators of model discriminatory power (Fielding & Bell 1997). We adjusted the cut-off point for determining the CCR to minimise the difference between sensitivity and specificity.

In the simulation of future distributions, we prepared two scenarios: the range expansion from the whole geographical distribution in 2010 (scenario #1) and the range expansion excluding the new northern population found in 2007 by removing this population (scenario #2).

Evaluation of eradication programme

To evaluate the economic advantage of removing the small new population found in 2007, we compared the predicted crop damage between scenario #1 and scenario #2. We then estimated the potential amount of money lost from crop damage in 37 municipalities of the northern part of the area not having a wild boar population. In accordance with Asada (2011), we estimated the potential damage amount, which is the product of the total amount of agricultural production within 10 m of the forest edges in each municipality, and the damage rate (0.1) applicable to each municipality. Based on the observed data in the six southern municipalities, the damage rate of 0.1 was calculated from the damage amount in 2009, and the amount of agricultural production within 10 m of the forest edges (Asada 2011). If the municipality overlapped the centre point of the grid, the median incidence probability was [greater than or equal to] 50%, and we assumed that wild boar damage would be occurring in that municipality. We estimated the cumulative amount of money lost by crop damage from 2011 to 2030 in each scenario. The difference in values between scenarios #1 and #2 indicates the economic advantage of the eradication programme.

Results

Wild boars prefer forest and forest/agriculture ecotones. As shown by PC1, the product of percent of forest and agricultural areas is a positive factor in range-expansion modelling (Table 2). The distance from the nearest source grid was significant, and an empty grid close to the population tended to be occupied (see Table 2). By estimated dispersal kernel, if the grid was 2,153 km distant from the occupied grid, an empty grid would be occupied within one year at a probability of 50% (Fig. 3). Our range-expansion model had good accuracy, as confirmed by the AUC of 0.981 and the CCR of 0.929 (Table 3 and Fig. 4).

Based on our simulation, wild boars will arrive in the southern part of the prefecture by 2016 (scenario #1). By 2025, they will have spread to the northern part of the prefecture, where forests are scattered in an important agricultural area, although the median incidence probability was low due to unsuitable habitat (lacking sufficient forest; Fig. 5). Wild boars will not spread to the northeastern urban areas. Simulation scenario #2, i.e. removing the isolated population, showed that range expansion to the northern region of the prefecture would be completed by around 2030 (Fig. 6), five years later than in scenario #1.

After the range expansion was saturated, the uncertainties of the incidence probability in the northern region were higher than in the southern region (see Figs. 5 and 6). This uncertainty represented a high sensitivity of the incidence probability to the fluctuation of estimated parameters in this region. The persistence of wild boar presence in the northern area was highly uncertain especially in grids with less forest and bordering an urban area. Uncertainty was low in urban-core (never inhabited) and inland-forest (definitely inhabited) areas.

The value of crop damage will increase with the range expansion of wild boar populations (Fig. 7). The estimated cumulative value of crop damage from 2011 to 2030 was 8,434 million yen (scenario #1) and 6,052 million yen (scenario #2). This indicates that the economic contribution of the eradication programme would be 2,382 million yen.

Discussion

We forecast the range expansion of a wild boar population based on distribution maps for different years. Although population densities and parameters were not used, the best model obtained correctly predicted the range expansion (0.981 AUC and 0.929 CCR; see Table 3 and Fig. 4). In the early stage of range expansion of a species, we usually have to predict range expansion based on limited information without population parameters (Koike 2006). Therefore, our simple and reliable range-expansion modelling is helpful in reducing the risk of crop damage.

Our model predicts that the wild boar population in the Chiba Prefecture will expand its range at the rate of 2,153 km/year (see Fig. 3), which is similar to the female dispersal distances of 2-3 km measured in Sweden (Truve & Lemel 2003) and 1.6 km in Germany (Keuling et al. 2010). In our simulations, wild boar populations will expand to the southern and northern regions of the Chiba Prefecture (see Fig. 5), and crop damage will occur in these areas in future. The northern area of the prefecture produces a range of agricultural products (such as peanuts Arachis hypogaea), and damage is likely to become a significant social problem in this area.

If the northern isolated population is removed (scenario #2), it will be possible to delay the range expansion for about five years. We can calculate the economic contribution of this eradication project. The net gain from reducing crop damage by removing the northern population for five years will be 2,382 million yen, whereas the eradication cost for this small population will be 400 million yen (based on the wild pig eradication for 194 [km.sup.2] using intensive fencing in Santa Cruz Island, California; Schuyler et al. 2002). In particular, if the northern population is removed by 2015, the reduction in damage will be large (see Fig. 7). This suggests that an eradication programme will have agricultural benefits. A predicted future-range expansion map can then be used to determine the optimal position of fences to avoid further range expansion.

Another effective utilisation of the forecasted range expansion would be to implement preventive measures before the arrival of a wild boar population (Saito et al. 2012). Effective control such as fencing, environmental improvements and reducing population density around cropland can reduce the damage (Eguchi 2008, Honda et al. 2008, Saito et al. 2011). The local government can provide helpful information and present lectures for farmers before the range expansion occurs.

Forest area and the forest/agriculture ecotone are suitable for wild boars (see Table 2). Although agricultural areas are also preferred because they provide food sources (Schley & Roper 2003), larger agricultural areas limit the availability of shelter (Herrero et al. 2006). Urban areas do not provide good habitat for wild boars (see Table 2). Park & Lee (2003) have suggested that wild boars in Korea avoid human contact, but in Berlin, and elsewhere in Germany, wild boars do appear in urban environments (Jansen et al. 2007). It is possible that wild boars on the Boso Peninsula have not yet become habituated to humans. The possibility that boars will adapt to urban environments should be considered carefully.

The distribution data used in our study were obtained from a nuisance-control programme for reducing wild boar damage. Thus, the distribution of low-density wild boar populations that do not cause damage may be wider than the detected range (see Fig. 2). Our simulation predicts the range expansion of a high or intermediate density front and may therefore be suitable for damage prediction.

Our model can be regarded as a risk model based on distribution maps and damage data at the level of the municipality. Because the distribution, environment and damage data used in this study are easy to obtain, our methods could be useful in predicting the risk of damage in other regions that have recently begun to experience damage by wild boars and other animals. Moreover, even if there are no distribution data, it is possible to predict damage risk using presence-only damage data (Saito et al. 2012). By applying various risk models, according to the stage of available information, risk-reduction strategies can be optimised.

DOI: 10.2981/11-110

Acknowledgements--we would like to thank the Nature Conservation Division, Environmental and Community Affairs Department and the Chiba Prefecture for providing the hunting-location data of wild boar. Our study was supported in part by Grant no. 1902 for 'Research and development projects for application in promoting new policy of agriculture, forestry and fisheries' from the Ministry of Agriculture, Forestry and Fisheries, Japan, and in part by the JSPS Global COE Program 'Global eco-risk management from Asian viewpoints', Yokohama National University, Japan.

References

Asada, M. 2011: Distribution and pest control, damage to agricultural production for wild boar in 2009 in Chiba prefecture, Japan.--Report of the Chiba Biodiversity Center 3, Chiba, Japan, pp. 49-64. (In Japanese).

Asada, M. 2012: Damage to agricultural production and distribution for wild boar and raccoon in FY 2010. Results of a questionnaire survey on wildlife distributions and damages on agricultural production for FY 2010.--Report of the Chiba Biodiversity Center 5, Chiba, Japan, pp. 10-20. (In Japanese).

Beier, P. 2009: A focal species for conservation planning.--In: Hornocker, M.G. & Negri, S. (Eds.); Cougar Ecology and Conservation.--University of Chicago Press, Chicago, Illinois, USA, pp. 177-189.

Chiba Prefecture & Deer Research Group on Boso 2001: Science Report on the Management of Wild Boar and Reeves's Muntjac on Boso Peninsula 1.--Chiba Prefecture and Deer Research Group on Boso, Chiba, Japan, 95 pp. (In Japanese).

Coblentz, B.E. & Baber, D.W. 1987: Biology and control of feral pigs on Isla Santiago, Galapagos, Ecuador.--Journal of Applied Ecology 24: 403-418.

Eguchi, Y. 2008: Crop damage management: management of damage by wild boar.--In: Takatsuki, S. & Yamagiwa, J. (Eds.); Middle-, and Large-sized Mammals Including Primates (Mammalogy in Japan 2). University of Tokyo Press, Tokyo, Japan, pp. 401-426. (In Japanese).

Fielding, A.H. & Bell, J.F. 1997: A review of methods for the assessment of prediction errors in conservation presence/ absence models.--Environmental Conservation. 24: 38-49.

Fukasawa, K., Koike, F., Tanaka, N. & Otsu, K. 2009: Predicting future invasion of an invasive alien tree in a Japanese oceanic island by process-based statistical models using recent distribution maps.--Ecological Research 24: 965-975.

Herrero, J., Garcia-Serrano, A., Couto, S., Orumo, V.M. & Garcia-Gonzalez, R. 2006: Diet of wild boar Sus scrofa L. and crop damage in an intensive agroecosystem.--European Journal of Wildlife Research 52: 245-250.

Honda, T., Hayashi, Y. & Sato, Y. 2008: Habitat selection of wild boar (Sus scrofa) captured near the forest edge.--Mammalian Science 48: 11-16. (In Japanese with an English summary).

Jansen, A., Luge, E., Guerra, B., Wittschen, P., Gruber, A.D., Loddenkemper, C., Schneider, T., Lierz, M., Ehlert, D., Appel, B., Stark, K. & Nocklert, K. 2007: Leptospirosis in urban wild boars, Berlin, Germany.--Emerging Infectious Diseases 13: 739-742.

Kabaya, H. 1975: Ecological studies on the vegetation of the Boso Mountains I. Distribution and structure of the natural fir-hemlock forests.--Bulletin of the Tokyo University Forests 67: 51-62. (In Japanese with an English summary).

Keim, J.L., DeWitt, P.D. & Lele, S.R. 2011: Predators choose prey over prey habitats: evidence from a lynx-hare system.--Ecological Applications 21: 1011-1016.

Keuling, O., Lauterbach, K., Stier, N. & Roth, M. 2010: Hunter feedback of individually marked wild boar Sus scrofa L.: dispersal and efficiency of hunting in northeastern Germany.--European Journal of Wildlife Research 56: 159-167.

Keuling, O., Stier, N. & Roth, M. 2008: Annual and seasonal space use of different age classes of female wild boar Sus scrofa. L.--European Journal of Wildlife Research 54: 403-412.

Kitazawa, T. & Asada, M. 2010: Wildlife management and ecosystem services on SATOYAMA in Chiba prefecture.--Report of the Chiba Biodiversity Center 2, Chiba, Japan, pp. 85-101. (In Japanese).

Koike, F. 2006: Prediction ofrange expansion and optimum spatial control strategy of feral raccoons using a meta-population model.--In: Koike, F., Clout, M.N., Kawamichi, M., De Poorter, M. & Iwatsuki, K. (Eds.); Assessment and Control of Biological Invasion Risks. Shoukadoh Book Sellers, Kyoto, Japan, pp. 148-156.

Koike, F. & Iwasaki, K. 2011: A simple range expansion model of multiple pathways: the case of nonindigenous green crab Carcinus aestuarii in Japanese waters.--Biological Invasions 13: 459-470.

Lele, S.R. & Keim, J.L. 2006: Weighted distributions and estimation of resource selection probability functions.--Ecology 87: 3021-3028.

Lurz, P.W.W., Rushton, S.P., Wauters, L.A., Bertolino, S., Currado, I., Mazzoglio, P. & Shirley, M.D.F. 2001: Predicting grey squirrel expansion in North Italy: a spatially explicit modelling approarch.--Landscape Ecology 16: 407-420.

Ministry of Internal Affairs and Communications 2010: Population of Japan (Final Report of the 2005 Population Census).--Available at http://www.stat.go.jp/english/ data/kokusei/index.htm (Last accessed on 24 May 2012).

Ministry of the Environment 1999: Fifth National Survey on the Natural Environment.--Available at http://www. biodic.go.jp/english/kiso/top_list.html (Last accessed on 24 May 2012).

Miyawaki, A. & Okuda, S. 1976: Potentiell naturliche Vegetation des Umkreises der Hauptstadt 'Shutoken'.--Bulletin, Institute of Environmental Science and Technology, Yokohama National University 2: 95-114. (In Japanese with a German summary).

Park, C.R. & Lee, W.S. 2003: Development of a GIS-based habitat suitability model for wild boar Sus scrofa in the Mt. Baekwoonsan region, Korea.--Mammal Study 28: 17-21.

R Development Core Team 2010: R: A Language and Environment for Statistical Computing.--R Foundation for Statistical Computing, Vienna, Austria. Available at: http://www.R-project.org/ (Last accessed on 24 May 2012).

Saito, M., Momose, H. & Mihira, T. 2011: Both environmental factors and countermeasures affect wild boar damage to rice paddies in Boso Peninsula, Japan.--Crop Protection 30: 1048-1054.

Saito, M., Momose, H., Mihira, T. & Uematsu, S. 2012: Predicting the risk of wild boar damage to rice paddies using presence-only data in Chiba Prefecture, Japan.--International Journal of Pest Management 58: 65-71.

Schley, L. & Roper, T.J. 2003: Diet of wild boar Sus scrofa in Western Europe, with particular reference to consumption of agricultural crops.--Mammal Review 33: 43-56.

Schuyler, P.T., Garcelon, D.K. & Escover, S. 2002: Eradication of feral pigs (Sus scrofa) on Santa Catalina Island, California, USA.--In: Veitch, C.R. & Clout, M.N. (Eds.); Turning the Tide: The Eradication of Invasive Species. IUCN SSC Invasive Species Specialist Group, Auckland, New Zealand, pp. 148-156.

Singer, F.J., Otto, D.K., Tipton, A.R. & Hable, C.P. 1981: Home ranges, movements and habitat use of European wild boar in Tennessee.--Journal of Wildlife Management 45: 343-353.

Sodeikat, G. & Pohlmeyer, K. 2003: Escape movements of family groups of wild boar Sus scrofa influenced by drive hunts in Lower Saxony, Germany.--Wildlife Biology 9 (Suppl. 1): 43-49.

Sweitzer, R.A., van Vuren, D., Gardner, I.A., Boyce, W.M. & Waithman, J.D. 2000: Estimating sizes of wild pig populations in the north and central coast regions of California.--Journal of Wildlife Management 64: 531-543.

Truve, J. & Lemel, J. 2003: Timing and distance of natal dispersal for wild boar Sus scrofa in Sweden.--Wildlife Biology 9 (Suppl. 1): 51-57.

Tsujino, R., Ishimaru, E. & Yumoto, T. 2010: Distribution patterns of five mammals in the Jomon period, middle Edo period, and the present, in the Japanese Archipelago.--Mammal Study 35: 179-189.

Masayuki Saito, Fumito Koike, Hiroshi Momose, Tosaku Mihira, Seiji Uematsu, Toru Ohtani & Kiichiro Sekiyama

Masayuki Saito, Graduate School of Environment and Information Sciences, Yokohama National University, 79-7 Tokiwadai, Hodogaya-ku, Yokohama, Kanagawa 240-8501, and National Agricultural Research Center, National Agricultural and Food Research Organization, 3-1-1 Kannondai, Tsukuba, Ibaraki 305-8666, Japan--e-mail: saito.ume@gmail.com

Fumito Koike, Graduate School of Environment and Information Sciences, Yokohama National University, 79-7 Tokiwadai, Hodogaya-ku, Yokohama, Kanagawa 240-8501, Japan--email: koikef@ynu.ac.jp

Hiroshi Momose, National Agricultural Research Center, National Agricultural and Food Research Organization, 3-1-1 Kannondai, Tsukuba, Ibaraki 305-8666, Japan--e-mail: momose@affrc.gojp

Tosaku Mihira, Toru Ohtani, & Kiichiro Sekiyama, Southern Prefectural Horticulture Institute, Chiba Prefectural Agriculture and Forestry Research Center, 1762 Yamamoto, Tateyama, Chiba 294- 0014, Japan--e-mail addresses: t.mhr2@prefchiba.lg.jp (Tosaku Mihira); t.ootn@prefchiba.lg.jp (Toru Ohtani); k.skym2@pref.chiba.lg.jp (Kiichiro Sekiyama) Seiji Uematsu, Southen Prefectural Horticulture Institute, Chiba Prefectural Agriculture and Forestry Research Center, 1762 Yamamoto, Tateyama, Chiba 294-0014, and Plant Protection Station, Chiba Prefectural Agriculture and Forestry Research Center, Dazenno-cho, Midori-ku, Chiba 266-0006, Japan--e-mail: s.uemts6@pref.chiba.lg.jp

Corresponding author: Hiroshi Momose

Received 7 November 2011, accepted 23 May 2012

Associated Editor: Olivier Gimenez

Table 1. Preliminary principal component
analysis (PCA) for modelling. In the
range-expansion modelling, we used principle
component 1 (PC1) and principle component 2
(PC2) as environmental variables.

                            Loadings

Land use variable         PC1      PC2

Forest area in %          0.832    -0.019
Agricultural area in %   -0.361    -0.778
Urban area in %          -0.421     0.628
Cumulative proportion     0.58       0.96

Table 2. Parameter estimate of the best range-expansion model based
on model selection. Environmental variables were standardised. The
95% confidence interval of each variable is based on a
2,000-iteration bootstrap resampling.

Variable                    Coefficient    95% confidence interval
                                          2.5% point    97.5% point

(Intercept)                    0.773         0.314         1.281
PC1                            1.615         0.837         1.539
PC2                              --
Forest area in % x             0.86          0.491         1.268
  Agricultural area in %
Human population density         --
  (people/[km.sup.2])
Distance from the nearest    -3.218 x      -3.587 x      -2.892 x
  presence grid in the      [10.sup.-4]   [10.sup.-4]   [10.sup.-4]
  last year (in m)

Table 3. Classification accuracy between observed
values in 2010 and the values predicted for 2010.
The predicted values were median incidence
probability obtained from the simulation after the
distribution in 2007 using the best range-expansion
model. Correct classification rate (CCR) was 0.929.
The cut-off point for determining the CCR was
adjusted to minimise the difference between
sensitivity and specificity.

                       Observed

             Presence   Absence   Total

Predicted

  Presence     171        36       207
  Absence       13        469      482
  Total        184        505      689
COPYRIGHT 2012 Nordic Board for Wildlife Research
No portion of this article can be reproduced without the express written permission from the copyright holder.
Copyright 2012 Gale, Cengage Learning. All rights reserved.

Article Details
Printer friendly Cite/link Email Feedback
Title Annotation:Original article
Author:Saito, Masayuki; Koike, Fumito; Momose, Hiroshi; Mihira, Tosaku; Uematsu, Seiji; Ohtani, Toru; Sekiy
Publication:Wildlife Biology
Article Type:Report
Geographic Code:9JAPA
Date:Dec 1, 2012
Words:4704
Previous Article:Faecal sampling along trails: a questionable standard for estimating red fox Vulpes vulpes abundance.
Next Article:Importance of visibility when evaluating animal response to roads.
Topics:

Terms of use | Privacy policy | Copyright © 2019 Farlex, Inc. | Feedback | For webmasters