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.