Comparative analysis of remotely-sensed data products via ecological niche modeling of avian influenza case occurrences in Middle Eastern poultry
© Bodbyl-Roels et al; licensee BioMed Central Ltd. 2011
Received: 28 October 2010
Accepted: 28 March 2011
Published: 28 March 2011
Ecological niche modeling integrates known sites of occurrence of species or phenomena with data on environmental variation across landscapes to infer environmental spaces potentially inhabited (i.e., the ecological niche) to generate predictive maps of potential distributions in geographic space. Key inputs to this process include raster data layers characterizing spatial variation in environmental parameters, such as vegetation indices from remotely sensed satellite imagery. The extent to which ecological niche models reflect real-world distributions depends on a number of factors, but an obvious concern is the quality and content of the environmental data layers.
We assessed ecological niche model predictions of H5N1 avian flu presence quantitatively within and among four geographic regions, based on models incorporating two means of summarizing three vegetation indices derived from the MODIS satellite. We evaluated our models for predictive ability using partial ROC analysis and GLM ANOVA to compare performance among indices and regions.
We found correlations between vegetation indices to be high, such that they contain information that overlaps broadly. Neither the type of vegetation index used nor method of summary affected model performance significantly. However, the degree to which model predictions had to be transferred (i.e., projected onto landscapes and conditions not represented on the landscape of training) impacted predictive strength greatly (within-region model predictions far out-performed models projected among regions).
Our results provide the first quantitative tests of most appropriate uses of different remotely sensed data sets in ecological niche modeling applications. While our testing did not result in a decisive "best" index product or means of summarizing indices, it emphasizes the need for careful evaluation of products used in modeling (e.g. matching temporal dimensions and spatial resolution) for optimum performance, instead of simple reliance on large numbers of data layers.
Ecological niche modeling and the associated species distribution modeling (here referred to collectively as 'niche modeling' for convenience) are techniques in which occurrence data for biological phenomena are related to raster geospatial data sets describing relevant aspects of environmental landscapes to estimate species' ecological requirements and potential geographic distributions [1–3]. Much of the burgeoning activity in this field has based inferences on climate data , yet climate data have severe limitations: (1) high spatial autocorrelation in most climate features limits the spatial resolution possible in inferences from such data sets, (2) climate data do not reflect land use and land cover (directly, at least) that provide important refinements to distributional predictions , (3) climate data provide only very limited ability to build time-specific elements into such models [6, 7], and (4) climate data for certain regions and spatial resolutions will be mostly interpolation rather than real information . As a consequence, researchers have begun using remotely sensed data in these exercises [8, 9]--remotely sensed data offer the potential for analyses at fine spatial resolutions, incorporating non-climatic dimensions into models, and achieving excellent temporal resolution simultaneously.
The purpose of this contribution is to develop a comparative analysis of six remotely-sensed data sets for models of the distribution of avian influenza cases, largely in domestic poultry, in the Middle East and surrounding areas. Although these veterinary cases affect only domestic birds, the single highest-ranked risk factor in all studies to date of H5N1 transmission has been contact with (infected) poultry [12–14], so understanding spatial risk in poultry infections has direct and immediate implications for human infections. Avian influenza occurrences in this region have already been reported in detailed analyses , but without careful evaluation of the relative merits of the different remotely-sensed data products that may be used for input. Here, we compare and contrast predictions within and among four sectors of the Middle East based on models incorporating three vegetation indices derived from image data from the MODIS sensor, each in the form of monthly values versus summary variables. The result is a first detailed view of situations under which remotely sensed data can be used most appropriately in niche modeling applications.
Environmental datasets consisting of 12 monthly composite remotely-sensed data layers for 2005 were assembled, summarizing maximum values for 8-day time series of the Enhanced Vegetation Index (EVI), Normalized Difference Vegetation Index (NDVI), and Land Surface Water Index (LSWI; see Figure 1 for example comparisons). Layers were derived from the Moderate Resolution Imaging Spectroradiometer (MODIS) satellite-based sensor at a spatial resolution of 500 m. Resolution for all layers was coarsened subsequently to a 5 km resolution, via nearest-neighbor resampling, owing to computational limitations and concerns regarding the spatial accuracy of the occurrence data. Summary statistics layers, including maximum, mean, minimum, range, and standard deviation across the 12-month period, were produced for each index, resulting in 17 raster data layers (12 monthly summaries and 5 summary statistics) for each index (EVI, LSWI, NDVI). Owing to concerns regarding the effects of snow cover on the EVI and LSWI indices , we also conducted limited tests for EVI-based models trained in the Balkans-Caucasus region based on only the snow-free months to see whether excluding months with snow cover would improve model predictivity.
Geographic coordinates for 610 spatially unique case occurrences of highly pathogenic avian influenza of the H5N1 strain (31 from the Arabian Peninsula AP, 18 from the Levant-Iran LI, 386 from northeastern Africa AF, and 175 from the Balkans-Caucasus BC regions) were drawn from the World Organization for Animal Health  databases as part of a previous study . These case-occurrences included virus isolations from wild birds, zoo birds, and commercial and backyard poultry.
Ecological Niche Modeling
Ecological niches were estimated using the Genetic Algorithm for Rule-set Prediction [GARP; ], an evolutionary-computing algorithm that has been applied widely to questions of disease transmission . GARP's predictive ability has been tested under diverse circumstances [3, 20, 21] and has been demonstrated to yield highly predictive hypotheses similar to those produced by other methods [e.g., Maxent; ]. GARP has been the basis for both of our previous studies of avian influenza transmission ecology and geography, showing highly statistically significant predictive ability [15, 23].
Within GARP processing, input occurrence data are divided randomly into three subsets: training data (25%; for model rule development), intrinsic testing data (25%; for intrinsic evaluation and tuning of model rules) and extrinsic testing data (50%; for evaluation of model quality and filtering among replicate models, see below). Spatial predictions of presence versus absence can include two types of error: false negatives (areas of actual presence predicted absent) and false positives [areas of actual absence predicted present; ]; rule performance in terms of overall error is evaluated via the intrinsic data set. Changes in predictive accuracy from one iteration to the next are used to evaluate whether particular rules should be incorporated into the model or not, and the algorithm runs either 1000 iterations or until convergence . The final rule set is then used to query the environmental data sets across the study region to identify areas fitting the rule-set prediction, producing a hypothesis of the potential geographic distribution of the species , or in this case, of the potential area for disease transmission.
Since GARP processing includes several random-walk components, each replicate model run produces distinct results, representing alternative solutions to the optimization challenge. Consequently, following recommended best-practices approaches , we developed 100 replicate versions of each model. We filtered these replicates based on their error characteristics to emphasize the overriding importance of omission error (as opposed to commission error), retaining the 20 models showing the lowest false-negative rates (= percentage of independent testing points falling in areas not predicted to be suitable), and then retaining the 10 (of the 20) closest to the median of the proportional area predicted present among models, an index of false-positive error rates . A consensus of these 'best subset' models was then developed by summing values for each pixel in the map to produce final predictions of potential distributions with 11 thresholds (i.e., integers from 0 to 10).
Our aim throughout this contribution is to develop robust comparisons of model performance based on different remotely sensed data products (EVI, NDVI, LSWI) summarized in different ways (monthly values, summary statistics) across four regional datasets. The predictive challenge was to anticipate the spatial distribution of H5N1 avian influenza case-occurrence data within and among the four study regions in the Middle East and northeastern Africa. Hence, we created GARP models for all possible combinations of the following categories of occurrence and environmental data:
• Index category: To evaluate performance of different MODIS satellite data product types and effects on model predictivity, models were run based on environmental data sets of EVI, NDVI, LSWI, or the combination of all three.
• Index type: To evaluate model performance based on monthly index data versus summary data, models were created based on either the 12 monthly values of each index, or on the 5 summary statistics for each index, as well as on all 17 datasets available for each index.
• Modeling level: An important additional dimension is whether model predictions are simply interpolating among closely approximated training occurrence points, or whether they are being 'transferred' to other landscapes, on which sampling may be scanty or nonexistent . Hence, we developed the following: (1) four analyses within single regions (i.e., training and testing data randomly selected from the same region, using only data from that region), (2) four in which three regions predict one (i.e., training based on occurrence points from three regions and projecting onto and validation in the fourth), and (3) four in which one region predicts three (i.e., training models within one region and projecting models onto and validation in the other three regions),
Because our models are based on presence-only data, and because information documenting absences of suitability for influenza transmission across the Middle East are unavailable, customary approaches to model validation (e.g., receiver operating characteristic, kappa statistics) are neither appropriate nor applicable. As a consequence, we modified the receiver operating characteristic (ROC) approach so as not to depend on absence data by recasting the (1 - specificity) axis as the proportional area predicted present following Phillips et al.  and Peterson et al. . The area under the curve (AUC) of traditional ROC approaches undervalues models that do not provide predictions across the entire spectrum of proportional areas in the study area ; in addition, traditional ROC approaches incorrectly weight the two error components (omission and commission) equally . As a consequence, we used a modification of ROC that remedies these problems, a partial-area ROC approach that evaluates only over the range of the prediction, and potentially allows for differential weighting of the two error components .
Summary of General Linear Model ANOVAS in this study.
E = 100
E = 5%
Training region (all)
Training and testing region (within)
Testing region (all)
Model Level (within region, three predict one, one predict three)
Fuzzy Interpolation values of model performance comparing predicted occurrence values (GARP thresholds 0-10) of within region models (occurrence points within region) to values predicted for the same region by models produced using the three other regions (occurrence points outside of region predicted).
Fuzzy kappa value
LSWI, EVI, NDVI
LSWI, EVI, NDVI
LSWI, EVI, NDVI
LSWI, EVI, NDVI
To test whether snow cover altered EVI values enough to bias model predictions, we re-ran 8 models (three regions predict one, monthly and monthly + summary statistics) where AF, LI, and AP predicted occurrences in BC. Because the BC region receives the most seasonal snowfall of our four regions, testing models using BC points would be most likely to reveal any discrepancies owing to snow biased EVI values. Environmental data from months November to February, when BC receives the most snow, were removed from model construction. Paired t-tests comparing AUC ratios and P values at E = 100 and 5% including and excluding winter months resulted in all non-significant test values, thus we did not consider our EVI data to be biased markedly by snowfall, and used complete 12-month models for all further analyses.
Finally, we explored the degree to which the different MODIS satellite indices provide independent sets of information, as opposed to highly correlated and redundant information. To examine this possibility, we determined Pearson product-moment correlations for each pairwise combination of the three indices (EVI, LSWI, NDVI) based on the five summary statistics (max, mean, min, range, standard deviation) calculated for each of the four study regions. We generated 10,000 random points within each region, and extracted index values for each statistic at each point in ArcGIS (version 9.2), resulting in 3 indices × 5 summary statistics × 4 regions = 60 comparisons. Correlations were calculated from these data using Minitab 14®.
Model building and testing was based on four geographic regions and 610 occurrence data points divided variously into different training and testing sets (Figure 2). Sampling was least dense in the Levant-Iran (LI) region (only 18 occurrence points), with the greatest concentration of points within this region in Israel. The northeastern Africa (AF) region had the most occurrence points (386), with the vast majority clumped along the Nile River and its delta. Sampling was most widespread and even across the Balkans-Caucasus region (175), with points distributed across multiple countries.
In all, 144 niche models were developed for this study. The associated tests of predictive ability indicated that independent testing points often coincided with model predictions considerably better than random expectations. In all, 70 model predictions were significantly more coincident with independent testing data (bootstrap value, P < 50; see Additional file 1: Appendix 1 and Additional file 2: Appendix 2) when no error considerations were weighed (i.e., E = 100). A slightly better 81 model predictions were significantly better than random expectations when some nonzero expectation of error was included (E = 5%). A paired t-test for differences between all model AUC ratios when E = 100 (mean 1.16) and 5% (mean 1.06) was significant (T = 7.01, p < 0.001), indicating that model fit improved with the error consideration. An identical test for P when E = 100 (mean 258) and 5% (mean 200) was also significant (T = 2.62 p = 0.01). E = 5% also reduced the variance in AUC ratios (Levene's test for equal variances, L = 28.93, p < 0.005) but not in P (L = 1.88, p = 0.171).
Model fit varied widely among regions. AF was the region that showed the best predictivity, as 100% of tests were highly significant (all bootstrap values P < 50, regardless of E). However, AF also showed great variation in patterns of spatial suitability predicted. For example, a model based on summary EVI data predicted high suitability in southern Sudan, Ethiopia, and Somalia, while other models predicted high suitability only in the northern portion of the region (northern Sudan and Egypt; see Figure 3). Regions AP, BC, and LI were more variable in predictive ability, with 50%, 31%, and 22% of models resulting in significant predictions, respectively.
Three Regions Predicting One
These tests evaluated the predictive success of models based on occurrence points from three regions in the challenge of predicting suitability for H5N1 case occurrences in the fourth region; hence, the model was tested with independent occurrence points from that region. Because of the relative spatial independence of the training vs. testing points, predictive success in these tests was lower as compared with those of within region predictions: 35% showed significant predictive ability when E = 100, and 56% when E = 5% (Additional file 2: Appendix 2).
One Region Predicts Three
This modeling challenge was clearly the most difficult: predicting spatial patterns of suitability across three regions based on independent occurrence points in the fourth. Twelve models were created for each set of three regions utilizing the previous combinations of index and data type (Additional file 1: Appendix 1; results not shown). For E = 100, 48% of model predictions were significantly better than random expectations, while 56% were significantly better than random at E = 5% (Additional file 2: Appendix 2). The region from which models were best able to predict suitability across the other three was BC, with 83% of models significant, while the one least able to predict regional suitability was AF, with only 21% of models significant. We suspect that this variation in predictive ability reflects the degree to which the environments in the model training region are representative of the environments in the testing region, eliminating the need for model clamping .
Regions predicted as suitable for H5N1 varied immensely, highly dependent upon the region used to calibrate models. For example, when AF modeled occurrence in LI, BC, and AP, the most suitable regions included the Fertile Crescent and the deserts of southwest Iraq, eastern and southern Saudi Arabia, Yemen, and Oman. In contrast, LI predicted occurrence in the opposite regions of BC, AP and AF, such as southern Iran and the eastern coast of the Red Sea. Most models, however, reached a consensus that the most likely areas for H5N1 suitability include the Nile River and its delta, southwest Somalia, and the coastal region along the Azir mountains of Saudi Arabia and the Sarawat mountains of Yemen.
Analyses of model performance across all index categories, index types, and modeling levels produced interesting results (Table 1). First, no difference in model performance was detectable among indices (ANOVA, F = 1.00, p = 0.396, when E = 100, F = 1.36, p = 0.258, when E = 5%). We also found no difference in model performance between monthly and summary index datasets (ANOVA, F = 0.03, p = 0.974, when E = 100, F = 1.97, p = 0.143, when E = 5%). This lack of significant difference likely indicates that correlations across the study area are high among the different environmental data sets, and that each provides little independent information, at least at this broad spatial extent.
This study presents a first detailed comparative analysis of different remotely sensed data products as input information into ecological niche models. Our analyses are based on a spatially stratified model evaluation strategy, in which different geographic regions are used to train models and test model predictions. Furthermore, our use of the partial ROC approach allows considerably greater confidence in the model evaluation statistics, as it avoids several of the artifactual complications inherent in traditional implementations of ROC testing .
Although our analyses are based on veterinary cases, previous analyses of risk factors associated with H5N1 transmission have indicated an intimate tie between poultry infections and human cases [12–14], so the models presented here offer a view into human transmission risk not otherwise available in the Middle East region. Our results indicate that such data can provide a rich basis for modeling environmental correlates of occurrence (more or less equivalent to an ecological niche), and offer significant advantages in terms of spatial and temporal resolution, information content, and lack of need for interpolation. As such, we interpret the results of this study as confirming broadly and elucidating the role of remote sensing data in niche modeling exercises, which offered spatial predictions that were frequently much more informative than random expectations.
Our results could be interpreted as equivocal, in that we did not detect significant differences among vegetation index categories and vegetation index types in predictive ability of models. This non-effect could result from several factors. Among the artifactual causes that should be considered is the possibility that the avian influenza case occurrence data on which we based the tests could simply be too "noisy" to permit successful niche model development. Although the avian influenza data are far from perfect, they have nonetheless supported two detailed niche modeling exercises in the past [15, 23] with considerable success.
An alternative explanation, and one that we favor, is that the information essential to the different vegetation indices is--in the end--derived from the same remotely sensed images, and in many cases from the same actual bands of data. In this sense, while the different vegetation indices (NDVI, EVI, LSWI, etc.) are not equivalent, the key information in one may overlap very broadly with that in another. NDVI, EVI and LSWI are related to leaf area index, canopy chlorophyll content, and water content, respectively ; these vegetation properties are closely related to each other. In the case of large-scale modeling at relatively coarse spatial resolution (e.g., 5-km gridcell in this study) we suspect that the important information in these vegetation indices may be highly correlated, such that one does not offer significant and consistent advantages over any other. Finally, in spite of known complications in EVI calculations for images in which snow cover is present , we found no marked improvement of models built in seasons lacking snow cover, but use of EVI is probably best restricted to times and places lacking snow cover nonetheless, in other words, within the plant growing season.
Perhaps the clearest and most important insight from our analyses is the trends in predictive success manifested as a negative relationship between model predictivity and the degree of transferability required of the model. That is, for within-region predictions, model performance was quite good, but for three-regions-predict-one-region and one-region-predicts-three-regions, the model predictions were successively less robust. In essence, spatial autocorrelations make the within-region tests relatively easy, while cross-regional transfers of model predictions are more difficult; in the worst cases, these predictions must transfer into regions with environments little-represented in the training region, thus introducing an element of extrapolation into predictions, a situation in which models are not likely to be robust. We noted, perhaps more than in other applications, a fair amount of variation among models as to the spatial location of areas predicted as highly suitable for H5N1 transmission--as such, we recommend development of large numbers of models and seeking of broad central tendencies, rather than interpreting the details of single or small sets of models.
In sum, this paper illustrates a variety of points regarding the use of remote sensing data as data inputs to ecological niche models (or the related species distribution models, for that matter). While our testing did not detect a "best" index product or means of summarizing indices, it points to the need for careful and detailed understanding of patterns of intercorrelation and nonindependence among these data products, such that "quality" trumps "quantity," and the clear focus should be on correct matching of temporal dimensions, spatial resolution, and other qualities, rather than on inclusion of huge numbers of data layers in analyses. We hope that this paper will stimulate others to incorporate these datasets into their research and modeling endeavors, as they provide a rich and detailed basis for such models.
We thank Monica Papes and Árpád Nyári for expert advice on use and manipulation of satellite indices. We also thank the Centers for Disease Control and Prevention, NationalInstitutes of Health Fogarty International Center (R01-TW007869), National Science Foundation (NSF) EPSCoR program (NSF-0919466), Global Avian Influenza Network of Surveillance, and Microsoft Research for their funding of this work.
- Peterson AT: Uses and requirements of ecological niche models and related distributional models. Biodiversity Informatics. 2006, 3: 59-72.View ArticleGoogle Scholar
- Araújo MB, Guisan A: Five (or so) challenges for species distribution modelling. Journal of Biogeography. 2006, 33: 1677-1688.View ArticleGoogle Scholar
- Elith J, Graham CH, Anderson RP, Dudik M, Ferrier S, Guisan A, Hijmans RJ, Huettman F, Leathwick JR, Lehmann A: Novel methods improve prediction of species' distributions from occurrence data. Ecography. 2006, 29: 129-151. 10.1111/j.2006.0906-7590.04596.x.View ArticleGoogle Scholar
- Hijmans RJ, Cameron SE, Parra JL, Jones PG, Jarvis A: Very high resolution interpolated climate surfaces for global land areas. International Journal of Climatology. 2005, 25: 1965-1978. 10.1002/joc.1276.View ArticleGoogle Scholar
- Thuiller W, Araújo MB, Lavorel S: Do we need land-cover data to model species distributions in Europe?. Journal of Biogeography. 2004, 31: 353-361. 10.1046/j.0305-0270.2003.00991.x.View ArticleGoogle Scholar
- Nakazawa Y, Williams R, Peterson AT, Mead P, Staples E, Gage KL: Climate change effects on plague and tularemia in the United States. Vector Borne and Zoonotic Diseases. 2007, 7: 529-540. 10.1089/vbz.2007.0125.View ArticlePubMedGoogle Scholar
- Peterson AT, Martínez-Campos C, Nakazawa Y, Martínez-Meyer E: Time-specific ecological niche modeling predicts spatial dynamics of vector insects and human dengue cases. Transactions of the Royal Society of Tropical Medicine and Hygiene. 2005, 99: 647-655. 10.1016/j.trstmh.2005.02.004.View ArticlePubMedGoogle Scholar
- Egbert SL, Martínez-Meyer E, Ortega-Huerta MA, Peterson AT: Use of datasets derived from time-series AVHRR imagery as surrogates for land cover maps in predicting species' distributions. Proceedings IEEE 2002 International Geoscience and Remote Sensing Symposium (IGARSS). 2002, 4: 2337-2339.View ArticleGoogle Scholar
- Parra JL, Graham CC, Freile JF: Evaluating alternative data sets for ecological niche models of birds in the Andes. Ecography. 2004, 27: 350-360. 10.1111/j.0906-7590.2004.03822.x.View ArticleGoogle Scholar
- Peterson AT, Robbins A, Restifo R, Howell J, Nasci R: Predictable ecology and geography of West Nile Virus transmission in the central United States. Journal of Vector Ecology. 2009, 33: 342-352. 10.3376/1081-1710-33.2.342.View ArticleGoogle Scholar
- Scharlemann JPW, Benz D, Hay SI, Purse BV, Tatem AJ, Wint GRW, Rogers DJ: Global data for ecology and epidemiology: A novel algorithm for temporal Fourier processing MODIS data. PLoS ONE. 2008, 3: e1408-10.1371/journal.pone.0001408.PubMed CentralView ArticlePubMedGoogle Scholar
- Mounts AW, Kwong H, Izurieta HS, Ho Y, Au T, Lee M, Buxton Bridges C, Williams SW, Mak KH, Katz JM: Case-control study of risk factors for avian influenza A (H5N1) disease, Hong Kong, 1997. Journal of Infectious Diseases. 1999, 180: 505-508. 10.1086/314903.View ArticlePubMedGoogle Scholar
- Dinh PN, Long HT, Tien NT, Hien NT, Mai le TQ, Phong le H, Tuan le V, Van Tan H, Nguyen NB, Van Tu P: Risk factors for human infection with avian influenza A H5N1, Vietnam, 2004. Emerging Infectious Diseases. 2006, 12: 1841-1847.PubMed CentralView ArticlePubMedGoogle Scholar
- Bridges CB, Lim W, Hu-Primmer J, Sims L, Fukuda K, Mak KH, Rowe T, Thompson WW, Conn L, Lu X: Risk of influenza A (H5N1) infection among poultry workers, Hong Kong, 1997-1998. Journal of Infectious Diseases. 2002, 185: 1005-1010. 10.1086/340044.View ArticlePubMedGoogle Scholar
- Williams RAJ, Peterson AT: Ecology and geography of avian influenza (HPAI H5N1) transmission in the Middle East and northeastern Africa. International Journal of Health Geographics. 2009, 8: 47-10.1186/1476-072X-8-47.PubMed CentralView ArticlePubMedGoogle Scholar
- Xiao X, Zhang Q, Hollinger D, Aber J, Moore B: Modeling seasonal dynamics of gross primary production of evergreen needleleaf forest using MODIS images and climate data. Ecological Applications. 2005, 15: 954-969. 10.1890/04-0470.View ArticleGoogle Scholar
- OIE: Update on highly pathogenic avian influenza in animals (Type H5 and H7). World Organisation for Animal Health, Paris. 2011Google Scholar
- Stockwell DRB, Peters DP: The GARP modelling system: Problems and solutions to automated spatial prediction. International Journal of Geographical Information Science. 1999, 13: 143-158. 10.1080/136588199241391.View ArticleGoogle Scholar
- Peterson AT: Biogeography of diseases: A framework for analysis. Naturwissenschaften. 2008, 95: 483-491. 10.1007/s00114-008-0352-5.View ArticlePubMedGoogle Scholar
- Peterson AT, Papeş M, Eaton M: Transferability and model evaluation in ecological niche modeling: A comparison of GARP and Maxent. Ecography. 2007, 30: 550-560.View ArticleGoogle Scholar
- Anderson RP, Lew D, Peterson AT: Evaluating predictive models of species' distributions: Criteria for selecting optimal models. Ecological Modelling. 2003, 162: 211-232. 10.1016/S0304-3800(02)00349-6.View ArticleGoogle Scholar
- Peterson AT, Papeş M, Soberón J: Rethinking receiver operating characteristic analysis applications in ecological niche modelling. Ecological Modelling. 2008, 213: 63-72. 10.1016/j.ecolmodel.2007.11.008.View ArticleGoogle Scholar
- Williams R, Fasina FO, Peterson AT: Predictable ecology and geography of avian influenza (H5N1) transmission in Nigeria and West Africa. Transactions of the Royal Society of Tropical Medicine and Hygiene. 2008, 102: 471-479. 10.1016/j.trstmh.2008.01.016.View ArticlePubMedGoogle Scholar
- Fielding AH, Bell JF: A review of methods for the assessment of prediction errors in conservation presence/absence models. Environmental Conservation. 1997, 24: 38-49. 10.1017/S0376892997000088.View ArticleGoogle Scholar
- Soberón J, Peterson AT: Interpretation of models of fundamental ecological niches and species' distributional areas. Biodiversity Informatics. 2005, 2: 1-10.View ArticleGoogle Scholar
- Phillips SJ, Anderson RP, Schapire RE: Maximum entropy modeling of species geographic distributions. Ecological Modelling. 2006, 190: 231-259. 10.1016/j.ecolmodel.2005.03.026.View ArticleGoogle Scholar
- Visser H, de Nijs T: The Map Comparison Kit. Environmental Modeling and Software. 2006, 21: 346-358. 10.1016/j.envsoft.2004.11.013.View ArticleGoogle Scholar
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