CRM: Centro De Giorgi
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Advanced asymptotics of PDEs and applications

course: A spatial stochastic model for modelling ecosystems at large spatial scales

speaker: Sandro Azaele (University of Leeds)

abstract: Despite a vast body of research that informs us about the general properties of patterns of ecosystems at large spatial scales, we still lack a satisfactory theory that explains their underlying interconnections and how they emerge. Several of such ecological measures crucially depend on the behaviour of the spatial correlation functions at all orders, and any naïve truncation inevitably impairs the results. The calculation of macro-ecological patterns in spatially-explicit stochastic models is challenging even in simple models, because these latter often have stationary distributions for which the detailed balance condition is not satisfied. We will present a spatially-explicit neutral model, for which we are able to calculate spatial patterns when the system is posed in the vicinity of a critical point. We will show how those measures are intertwined and how good the agreement between predictions and empirical data is.

Mon 24 Sep, 10:00 - 11:05, Aula Dini
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