2004/03/01 by David Steinsaltz, Steven N. Evans, Steinsaltz, David +3
Biochemistry, Genetics and Molecular Biology · Mathematics · Social Sciences · #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Biological sciences #FOS: Mathematics #Genetics, Aging, and Longevity in Model Organisms #Populations and Evolution (q-bio.PE) #Probability (math.PR) #math.PR #q-bio.PE
paper · pdf · doi:10.48550/arxiv.q-bio/0403002
20 pages Updated to include more historical comment and references to the literature, as well as to make clear how our non-linear, non-Markovian model differs from previous linear, Markovian particle system and measure-valued diffusion models. Further updated to take into account referee's comments
openalex publication_date 2004/03/01 · arxiv created 2004/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A probability model is presented for the dynamics of mutation-selection balance in a haploid infinite-population infinite-sites setting sufficiently general to cover mutation-driven changes in full age-specific demographic schedules. The model accommodates epistatic as well as additive selective costs. Closed form characterizations are obtained for solutions in finite time, along with proofs of convergence to stationary distributions and a proof of the uniqueness of solutions in a restricted case. Examples are given of applications to the biodemography of aging, including instabilities in current formulations of mutation accumulation.