Report
Stationary distribution of a 2-island 2-allele Wright-Fisher diffusion model with slow mutation and migration rates
| العنوان: | Stationary distribution of a 2-island 2-allele Wright-Fisher diffusion model with slow mutation and migration rates |
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| المؤلفون: | Burden, Conrad J., Griffiths, Robert C. |
| سنة النشر: | 2018 |
| المجموعة: | Quantitative Biology |
| مصطلحات موضوعية: | Quantitative Biology - Populations and Evolution |
| الوصف: | The stationary distribution of the diffusion limit of the 2-island, 2-allele Wright-Fisher with small but otherwise arbitrary mutation and migration rates is investigated. Following a method developed by Burden and Tang (2016, 2017) for approximating the forward Kolmogorov equation, the stationary distribution is obtained to leading order as a set of line densities on the edges of the sample space, corresponding to states for which one island is bi-allelic and the other island is non-segregating, and a set of point masses at the corners of the sample space, corresponding to states for which both islands are simultaneously non-segregating. Analytic results for the corner probabilities and line densities are verified independently using the backward generator and for the corner probabilities using the coalescent. Comment: 30 pages, 5 figures, added new section on Alternative Approaches, more extensive numerical simulations |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1802.07415 |
| رقم الانضمام: | edsarx.1802.07415 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |