2022/12/05 by Arno Siri‐Jégousse, Siri-Jégousse, Arno, Alejandro H. Wences +1
Biochemistry, Genetics and Molecular Biology · Economics, Econometrics and Finance · Mathematics · #60F05 (Primary) #60G09 #60J05 #60J90 #92D15 (Secondary) #Complex Systems and Time Series Analysis #Evolution and Genetic Dynamics #FOS: Biological sciences #FOS: Mathematics #Populations and Evolution (q-bio.PE) #Probability (math.PR) #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.2212.02154
openalex publication_date 2022/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a general framework for the study of the genealogy of neutral discrete-time populations. We remove the standard assumption of exchangeability of offspring distributions appearing in Cannings' models, and replace it by a less restrictive condition of non-heritability of reproductive success. We provide a general criterion for the weak convergence of their genealogies to Ξ-coalescents, and apply it to a simple parametrization of our scenario (which, under mild conditions, we also prove to essentially include the general case). We provide examples for such populations, including models with highly-asymmetric offspring distributions and populations undergoing random but recurrent bottlenecks. Finally we study the limit genealogy of a new exponential model which, as previously shown for related models and in spite of its built in (fitness) inheritance mechanism, can be brought into our setting.