| Title |
Neutral Genetic Patterns for Expanding Populations with Nonoverlapping Generations
|
|---|---|
| Published in |
Bulletin of Mathematical Biology, March 2017
|
| DOI | 10.1007/s11538-017-0256-7 |
| Pubmed ID | |
| Authors |
Nathan G. Marculis, Roger Lui, Mark A. Lewis |
| Abstract |
We investigate the inside dynamics of solutions to integrodifference equations to understand the genetic consequences of a population with nonoverlapping generations undergoing range expansion. To obtain the inside dynamics, we decompose the solution into neutral genetic components. The inside dynamics are given by the spatiotemporal evolution of the neutral genetic components. We consider thin-tailed dispersal kernels and a variety of per capita growth rate functions to classify the traveling wave solutions as either pushed or pulled fronts. We find that pulled fronts are synonymous with the founder effect in population genetics. Adding overcompensation to the dynamics of these fronts has no impact on genetic diversity in the expanding population. However, growth functions with a strong Allee effect cause the traveling wave solution to be a pushed front preserving the genetic variation in the population. In this case, the contribution of each neutral fraction can be computed by a simple formula dependent on the initial distribution of the neutral fractions, the traveling wave solution, and the asymptotic spreading speed. |
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Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 2 | 100% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Scientists | 1 | 50% |
| Members of the public | 1 | 50% |
Mendeley readers
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Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Germany | 1 | 6% |
| Switzerland | 1 | 6% |
| Unknown | 16 | 89% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Student > Ph. D. Student | 8 | 44% |
| Student > Master | 5 | 28% |
| Professor | 2 | 11% |
| Student > Doctoral Student | 1 | 6% |
| Unknown | 2 | 11% |
| Readers by discipline | Count | As % |
|---|---|---|
| Agricultural and Biological Sciences | 7 | 39% |
| Environmental Science | 5 | 28% |
| Mathematics | 2 | 11% |
| Physics and Astronomy | 2 | 11% |
| Unknown | 2 | 11% |
Attention Score in Context
This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 03 April 2017.
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#17,883,247
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Outputs from Bulletin of Mathematical Biology
#860
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#221,743
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Outputs of similar age from Bulletin of Mathematical Biology
#20
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