Survival in locally and globally changing environments

TL;DR

This paper analyzes branching models in different environmental settings, demonstrating that local environmental changes increase survival chances compared to fixed or global changes.

Contribution

It provides a comparative analysis of survival probabilities across local, fixed, and global environmental models, highlighting the impact of environmental variability.

Findings

Survival is more likely in locally changing environments than in fixed ones.

Survival probability is higher in fixed environments than in globally changing ones.

The study offers insights into how environmental variability influences survival outcomes.

Abstract

We consider branching like models in local, global and fixed environments. We show that survival is more likely in a locally changing environment than in a fixed environment and that survival in a fixed environment is itself more likely than in a globally changing environment.