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Disentangling drivers of spatial autocorrelation in species distribution models
Authors:Konrad P. Mielke  Tom Claassen  Michela Busana  Tom Heskes  Mark A. J. Huijbregts  Kees Koffijberg  Aafke M. Schipper
Affiliation:1. Dept of Data Science, Inst. for Computing and Information Sciences, Radboud Univ. Nijmegen, Nijmegen, the Netherlands;2. Dept of Environmental Science, Inst. for Water and Wetland Research, Radboud Univ. Nijmegen, Nijmegen, the Netherlands;3. Sovon Dutch Centre for Field Ornithology, Nijmegen, the Netherlands;4. Dept of Environmental Science, Inst. for Water and Wetland Research, Radboud Univ. Nijmegen, Nijmegen, the Netherlands

PBL Netherlands Environmental Assessment Agency, The Hague, the Netherlands

Abstract:Species distribution models (SDMs) are frequently used to understand the influence of site properties on species occurrence. For robust model inference, SDMs need to account for the spatial autocorrelation of virtually all species occurrence data. Current methods do not routinely distinguish between extrinsic and intrinsic drivers of spatial autocorrelation, although these may have different implications for conservation. Here, we present and test a method that disentangles extrinsic and intrinsic drivers of spatial autocorrelation using repeated observations of a species. We focus on unknown habitat characteristics and conspecific interactions as extrinsic and intrinsic drivers, respectively. We model the former with spatially correlated random effects and the latter with an autocovariate, such that the spatially correlated random effects are constant across the repeated observations whereas the autocovariate may change. We tested the performance of our model on virtual species data and applied it to observations of the corncrake Crex crex in the Netherlands. Applying our model to virtual species data revealed that it was well able to distinguish between the two different drivers of spatial autocorrelation, outperforming models with no or a single component for spatial autocorrelation. This finding was independent of the direction of the conspecific interactions (i.e. conspecific attraction versus competitive exclusion). The simulations confirmed that the ability of our model to disentangle both drivers of autocorrelation depends on repeated observations. In the case study, we discovered that the corncrake has a stronger response to habitat characteristics compared to a model that did not include spatially correlated random effects, whereas conspecific interactions appeared to be less important. This implies that future conservation efforts should primarily focus on maximizing habitat availability. Our study shows how to systematically disentangle extrinsic and intrinsic drivers of spatial autocorrelation. The method we propose can help to correctly identify the main drivers of species distributions.
Keywords:autologistic regression  conspecific interaction  longitudinal measurements  spatial autocorrelation  spatially correlated random effects  species distribution model
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