A graph based advection framework for climate-driven species distribution

Fuente: arXiv
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Main Authors: Chowdhury, Pranali Roy, Raha, Soumyendu
Format: Preprint
Published: 2026
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author Chowdhury, Pranali Roy
Raha, Soumyendu
author_facet Chowdhury, Pranali Roy
Raha, Soumyendu
contents Climate change is reshaping species interactions and movement across fragmented landscapes. Despite this, most mathematical models assume random diffusion, overlooking the influence of directed movement. Here, we develop a graph based reaction-diffusion-advection framework explicitly incorporating directional movement induced by environmental gradients. Our results show while diffusion promotes overall population persistence across the network, advective movement induces asymmetric flows. It create population hotspots by directing individuals toward optimal niches, often associated with nodes of high in-degree. We demonstrate the interplay between advection strength and network topology in determining species persistence. Strong advection increase local extinction risk by accumulating populations toward favorable nodes. Additionally, loss of ecological corridors can disrupt directed flow within the network, thereby restricting species from favorable patches. We found that this disruption might not cause immediate extinction, rather forcing species to spread to the suboptimal patches. Our advection framework therefore efficiently captures how directional movement interacting with network topology governs species redistribution, hotspot formation, and predict extinction risk under environmental change.
format Preprint
id arxiv_https___arxiv_org_abs_2604_05423
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A graph based advection framework for climate-driven species distribution
Chowdhury, Pranali Roy
Raha, Soumyendu
Dynamical Systems
Populations and Evolution
Climate change is reshaping species interactions and movement across fragmented landscapes. Despite this, most mathematical models assume random diffusion, overlooking the influence of directed movement. Here, we develop a graph based reaction-diffusion-advection framework explicitly incorporating directional movement induced by environmental gradients. Our results show while diffusion promotes overall population persistence across the network, advective movement induces asymmetric flows. It create population hotspots by directing individuals toward optimal niches, often associated with nodes of high in-degree. We demonstrate the interplay between advection strength and network topology in determining species persistence. Strong advection increase local extinction risk by accumulating populations toward favorable nodes. Additionally, loss of ecological corridors can disrupt directed flow within the network, thereby restricting species from favorable patches. We found that this disruption might not cause immediate extinction, rather forcing species to spread to the suboptimal patches. Our advection framework therefore efficiently captures how directional movement interacting with network topology governs species redistribution, hotspot formation, and predict extinction risk under environmental change.
title A graph based advection framework for climate-driven species distribution
topic Dynamical Systems
Populations and Evolution
url https://arxiv.org/abs/2604.05423