Mathematical properties of the agent-based model of extinction — recolonization for population genetics
The individual-based model describes the dynamics of genetic diversity of a population scattered on a spatial continuum in the case of a finite number of individuals. During extinction events in a certain area, a portion of the population dies, after which new individuals with the genotype of the pa...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Yaroslavl State University
2024-06-01
|
| Series: | Моделирование и анализ информационных систем |
| Subjects: | |
| Online Access: | https://www.mais-journal.ru/jour/article/view/1850 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1839573166886748160 |
|---|---|
| author | Nikita V. Gaianov |
| author_facet | Nikita V. Gaianov |
| author_sort | Nikita V. Gaianov |
| collection | DOAJ |
| description | The individual-based model describes the dynamics of genetic diversity of a population scattered on a spatial continuum in the case of a finite number of individuals. During extinction events in a certain area, a portion of the population dies, after which new individuals with the genotype of the parent are born during recolonization event. In this paper we examine the model, as well as its modification, and derive properties related to population parameters. The study demonstrates that the lifespan of individuals follows an exponential distribution, allele probabilities remain constant over time, and the average heterozygosity, constrained by the number of individuals during extinction and recolonization, equals a similar quantity in the Moran model. The joint distribution of alleles is generalized for populations continuously scattered in space. Joint allele distribution and heterozygosity are computed through simulations. |
| format | Article |
| id | doaj-art-76f4a4ef51354db9b55f08d0bd8d3896 |
| institution | Matheson Library |
| issn | 1818-1015 2313-5417 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj-art-76f4a4ef51354db9b55f08d0bd8d38962025-08-04T14:06:43ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172024-06-0131214215110.18255/1818-1015-2024-2-142-1511407Mathematical properties of the agent-based model of extinction — recolonization for population geneticsNikita V. Gaianov0National Research University Higher School of EconomicsThe individual-based model describes the dynamics of genetic diversity of a population scattered on a spatial continuum in the case of a finite number of individuals. During extinction events in a certain area, a portion of the population dies, after which new individuals with the genotype of the parent are born during recolonization event. In this paper we examine the model, as well as its modification, and derive properties related to population parameters. The study demonstrates that the lifespan of individuals follows an exponential distribution, allele probabilities remain constant over time, and the average heterozygosity, constrained by the number of individuals during extinction and recolonization, equals a similar quantity in the Moran model. The joint distribution of alleles is generalized for populations continuously scattered in space. Joint allele distribution and heterozygosity are computed through simulations.https://www.mais-journal.ru/jour/article/view/1850population modelrecolonisationspatial continuummoran model |
| spellingShingle | Nikita V. Gaianov Mathematical properties of the agent-based model of extinction — recolonization for population genetics Моделирование и анализ информационных систем population model recolonisation spatial continuum moran model |
| title | Mathematical properties of the agent-based model of extinction — recolonization for population genetics |
| title_full | Mathematical properties of the agent-based model of extinction — recolonization for population genetics |
| title_fullStr | Mathematical properties of the agent-based model of extinction — recolonization for population genetics |
| title_full_unstemmed | Mathematical properties of the agent-based model of extinction — recolonization for population genetics |
| title_short | Mathematical properties of the agent-based model of extinction — recolonization for population genetics |
| title_sort | mathematical properties of the agent based model of extinction recolonization for population genetics |
| topic | population model recolonisation spatial continuum moran model |
| url | https://www.mais-journal.ru/jour/article/view/1850 |
| work_keys_str_mv | AT nikitavgaianov mathematicalpropertiesoftheagentbasedmodelofextinctionrecolonizationforpopulationgenetics |