Work

Blurring the Busse balloon: Patterns in a stochastic Klausmeier model

Year: 2025

Type: article

Abstract: We investigate the effect of stochastic forcing on spatially periodic patterns in a one-dimensional Klausmeier model for dryland vegetation. Using numerical methods, we can accurately describe the transient dynamics of the stochastic solutions and compare several notions of stability. In particular, we show that the boundary of the Busse balloon - which represents the deterministically stable patterns - becomes blurred under the stochastic perturbations and that the stochastic stability heavily depends on the model parameters, the intensity of the noise and the location of the wave number of the periodic pattern within the deterministic Busse balloon.

Source: Physica D Nonlinear Phenomena

DOI: 10.1016/j.physd.2025.134863

Authors: Christian H.S. Hamster, Peter van Heijster, Eric Siero

Institutions: University of Amsterdam, Wageningen University & Research

Language: English

Topic: Ecosystem dynamics and resilience

Subfield: Global and Planetary Change

Field: Environmental Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,640

Funders: Universiteit van Amsterdam, Wageningen University and Research Centre, Wageningen University and Research