Related Experiment Video
Updated: Dec 8, 2025

Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street
Published on: January 20, 2023
Influence of a road on a population in an ecological niche facing climate change
Henri Berestycki1, Romain Ducasse2, Luca Rossi1
1Centre d'Analyse et Mathématiques Sociales, Ecole des Hautes Etudes en Sciences Sociales, CNRS, 54 boulevard Raspail, Paris, 75006, France.
Abstract:
We introduce a model designed to account for the influence of a line with fast diffusion-such as a road or another transport network-on the dynamics of a population in an ecological niche.This model consists of a system of coupled reaction-diffusion equations set on domains with different dimensions (line / plane). We first show that, in a stationary climate, the presence of the line is always deleterious and can even lead the population to extinction. Next, we consider the case where the niche is subject to a displacement, representing the effect of a climate change. We find that in such case the line with fast diffusion can help the population to persist. We also study several qualitative properties of this system. The analysis is based on a notion of generalized principal eigenvalue developed and studied by the authors (2019).
Related Concept Videos
What is Climate?
Threats to Biodiversity
Habitat Fragmentation
Ecological Niches
Global Climate Change
Population Growth

