Félix Geoffroy, Mario Santer
When a population faces a fast detrimental environmental change, it can escape extinction via genetic adaptation. This scenario is often referred to as “evolutionary rescue” and has been extensively studied both empirically and theoretically. Understanding evolutionary rescue, and the conditions that favor it, is of great importance in many practical applications. In conservation biology, for instance, it is helpful for issuing policies that prevent the extinction of populations of interest. On the other hand, in medicine or agriculture, it is needed to prevent the emergence of mutant pathogens that are resistant to drug treatment. In particular, the evolutionary rescue framework has been extensively used for understanding tumor evolution and the evolution of antibiotic resistance. Over the past few years, a great deal of theoretical work has been done to build more realistic models that can address the diversity of biological contexts. Mathematical models have been proposed that take into account population or spatial structure, mating systems, migration or different mutation effects. In addition to these various biological questions, the mathematical approaches that are used in the study of evolutionary rescue are diverse. The two most common techniques to address the stochastic nature of rescue are the branching process and the diffusion process. Besides, under some circumstances, the modalities of rescue are better understood in a deterministic framework. The speakers of this minisymposium will present recent theoretical works in the field of evolutionary rescue and they cover a wide range of both biological questions and mathematical approaches.