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Abstract: There is a gap between single-species model predictions, and empiricalstudies, regarding the effect of habitat fragmentation per se, i.e., a processinvolving the breaking apart of habitat without loss of habitat. Empiricalworks indicate that fragmentation can have positive as well as negativeeffects, whereas, traditionally, single-species models predict a negativeeffect of fragmentation. Within the class of reaction-diffusion models, studiesalmost unanimously predict such a detrimental effect. In this paper,considering a single-species reaction-diffusion model with a removal - orsimilarly harvesting - term, in two dimensions, we find both positive andnegative effects of fragmentation of the reserves, i.e. the protected regionswhere no removal occurs. Fragmented reserves lead to higher population sizesfor time-constant removal terms. On the other hand, when the removal term isproportional to the population density, higher population sizes are obtained onaggregated reserves, but maximum yields are attained on fragmentedconfigurations, and for intermediate harvesting intensities.



Author: Lionel Roques BIOSP, Biosp, Mickaël D. Chekroun CERES-Erti

Source: https://arxiv.org/



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