期刊
JOURNAL OF MATHEMATICAL BIOLOGY
卷 70, 期 7, 页码 1523-1580出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s00285-014-0802-y
关键词
Branching processes; Gene introgression; Adaptation; Hybridization; Genetic hitchhiking
资金
- Vienna Science and Technology Fund (WWTF)
- Deutsche Forschungsgemeinschaft (DFG), Research Unit 1078 Natural selection in structured populations
- Austrian Science Fund (FWF) via Vienna Graduate School for Population Genetics
- For Women in Science fellowship (L'Oreal Osterreich in cooperation)
- Austrian Commission for UNESCO
- Austrian Academy of Sciences
- Federal Ministry for Science and Research Austria
By hybridization and backcrossing, alleles can surmount species boundaries and be incorporated into the genome of a related species. This introgression of genes is of particular evolutionary relevance if it involves the transfer of adaptations between populations. However, any beneficial allele will typically be associated with other alien alleles that are often deleterious and hamper the introgression process. In order to describe the introgression of an adaptive allele, we set up a stochastic model with an explicit genetic makeup of linked and unlinked deleterious alleles. Based on the theory of reducible multitype branching processes, we derive a recursive expression for the establishment probability of the beneficial allele after a single hybridization event. We furthermore study the probability that slightly deleterious alleles hitchhike to fixation. The key to the analysis is a split of the process into a stochastic phase in which the advantageous alleles establishes and a deterministic phase in which it sweeps to fixation. We thereafter apply the theory to a set of biologically relevant scenarios such as introgression in the presence of many unlinked or few closely linked deleterious alleles. A comparison to computer simulations shows that the approximations work well over a large parameter range.
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