Spatial stochastic modelling of ecosystems

摘要: The modelling of spatial effects in ecological systems has often been overlooked for its intrinsic complexity, both from a computational and mathematical point view. But real are spatially extended there is proved empirical evidence that this strongly influences their dynamics. At core thesis analyses simple extension birth death process with linear rates. In the regime large fluctuations model amenable to analytical treatment, which, example, leads an explicit formula probability distribution number individuals living given volume any dimension. Comparison simulated data shows excellent agreement where expected. Despite lack time reversibility at individual level, community level dynamics satisfies reversibility. These results applied infer distributions tree species two lowland tropical forest inventories. fact, allows link observations some most important descriptors into unified framework, predictions shown match well. An also considered aims giving first account effect environmental on scale patterns. Analytic formulas obtained, comparisons show again agreement. The conclusions drawn present work can help shed light dispersal communities organisms analysis stochastic processes. This could ultimately lead design more effective conservation strategies, further unveil delicate laws governing coexistence complex natural systems.