Pré-Publication, Document De Travail Année : 2025

IMPACT OF GENERALIZED GROWTH DYNAMICS AND SPATIAL DISPERSAL ON MAXIMUM SUSTAINABLE YIELD IN HARVESTED POPULATIONS

Résumé

This study explores the influence of generalized growth rates on the Maximum Sustainable Yield (MSY) in harvested populations. By employing generalized logistic models, such as the Richards and Gompertz formulations, we analytically derive the conditions under which MSY is attained in single-species systems. The analysis is then extended to multi-patch environments with inter-patch dispersal to examine the impact of migration on total MSY. Our key findings show that the MSY in a connected system is always less than or equal to the sum of the MSYs of isolated patches. Moreover, under biologically realistic assumptions, we demonstrate that increasing migration rates between patches leads to a strictly decreasing total MSY. Numerical simulations support the theoretical results, emphasizing that species-specific growth dynamics and spatial connectivity must be jointly considered for effective resource management. These results reveal a fundamental trade-off between ecological connectivity and harvesting potential in spatially structured populations.

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Dates et versions

hal-05085735 , version 1 (26-05-2025)

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Bilel Elbetch, Ali Moussaoui. IMPACT OF GENERALIZED GROWTH DYNAMICS AND SPATIAL DISPERSAL ON MAXIMUM SUSTAINABLE YIELD IN HARVESTED POPULATIONS. 2025. ⟨hal-05085735⟩
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