2016/01/28 by Vaibhav Madhok, Madhok, Vaibhav
Biochemistry, Genetics and Molecular Biology · Earth and Planetary Sciences · Mathematics · Social Sciences · #Aquatic and Environmental Studies #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Biological sciences #Mathematical Biology Tumor Growth #Populations and Evolution (q-bio.PE)
paper · pdf · doi:10.48550/arxiv.1601.07830
openalex publication_date 2016/01/28 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28
We propose a faster algorithm for individual based simulations for adaptive\ndynamics based on a simple modification to the standard Gillespie Algorithm for\nsimulating stochastic birth-death processes. We provide an analytical\nexplanation that shows that simulations based on the modified algorithm, in the\ndeterministic limit, lead to the same equations of adaptive dynamics as well as\nsame conditions for evolutionary branching as those obtained from the standard\nGillespie algorithm. Based on this algorithm, we provide an intuitive and\nsimple interpretation of the canonical equation of adaptive dynamics. With the\nhelp of examples we compare the performance of this algorithm to the standard\nGillespie algorithm and demonstrate its efficiency. We also study an example\nusing this algorithm to study evolutionary dynamics in a multi-dimensional\nphenotypic space and study the question of predictability of evolution.\n