QLS Seminar - Deterministic vs. Stochastic Dynamics in Competitive Communities: Insights from Network Structures and Consumer-Resource Models
Starts 10 Feb 2025 14:30
Ends 10 Feb 2025 15:30
Central European Time
ICTP
Common area, Ex SISSA building, Second floor
via Beirut 2
Abstract:
The coexistence of competing species presents a challenging theoretical puzzle. Over the years, various approaches have been proposed to address this issue - some assuming that the dynamics is primarily deterministic, with the observed species representing a stable equilibrium, while others suggest that the dynamics is largely stochastic or chaotic, leading to an unstable community composition. In recent years, a few studies have attempted to integrate both perspectives.
In this seminar, several results related to different aspects of these analyses will be presented:
1 - It will be shown that in a deterministic system, the local community exhibits a nested structure when interactions are symmetric and a hyperuniform structure when interactions are asymmetric.
2 - Under neutral dynamics with environmental stochasticity, the abundance distribution follows a power law and can support either egalitarian or dominant distributions.
3 - An analysis of consumer-resource models reveals the relationships between interaction strength between two species (which reflects niche overlap) and the correlations in their abundance and growth rate fluctuations.
Speaker(s)
Nadav Shnerb, Department of Physics, Bar-Ilan University