dorsal/arxiv
View SchemaOn the Genealogy of Populations: Trees, Branches and Offsprings
| Authors | Maurizio Serva |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0503036 |
| URL | https://arxiv.org/abs/q-bio/0503036 |
| DOI | 10.1088/1742-5468/2005/07/P07011 |
Abstract
We consider a neutral haploid population whose generations are not overlapping and whose size is large and constantly of $N$ individuals. Any generation is replaced by a new one and any individual has a single parent. We do not choose the stochastic rule which assigns the number of offsprings to any individual since results do not depend on the details of the dynamics, and, as a consequence, the model is parameter free. The genealogical tree is very complex, and distances between individuals (number of generations from the common ancestor) are distributed according to probability density which remains random in the thermodynamic limit (large population). We give a theoretical and numerical description of this distribution and we also consider the dynamical aspects of the problem describing the time evolution of the maximum and mean distances in a single population.
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"abstract": "We consider a neutral haploid population whose generations are not\noverlapping and whose size is large and constantly of $N$ individuals. Any\ngeneration is replaced by a new one and any individual has a single parent. We\ndo not choose the stochastic rule which assigns the number of offsprings to any\nindividual since results do not depend on the details of the dynamics, and, as\na consequence, the model is parameter free. The genealogical tree is very\ncomplex, and distances between individuals (number of generations from the\ncommon ancestor) are distributed according to probability density which remains\nrandom in the thermodynamic limit (large population). We give a theoretical and\nnumerical description of this distribution and we also consider the dynamical\naspects of the problem describing the time evolution of the maximum and mean\ndistances in a single population.",
"arxiv_id": "q-bio/0503036",
"authors": [
"Maurizio Serva"
],
"categories": [
"q-bio.PE",
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"q-bio.OT"
],
"doi": "10.1088/1742-5468/2005/07/P07011",
"title": "On the Genealogy of Populations: Trees, Branches and Offsprings",
"url": "https://arxiv.org/abs/q-bio/0503036"
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