Diffusive noise controls early stages of genetic demixing
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916766586765312 |
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| author | Bhutia, Rashmiranjan Jose, Stephy Perlekar, Prasad Ramola, Kabir |
| author_facet | Bhutia, Rashmiranjan Jose, Stephy Perlekar, Prasad Ramola, Kabir |
| contents | Theoretical descriptions of the stepping-stone model, a cornerstone of spatial population genetics, have long overlooked diffusive noise arising from migration dynamics. We derive an exact fluctuating hydrodynamic description of this model from microscopic rules, which we then use to demonstrate that diffusive noise significantly alters early-time genetic demixing, which we characterize through heterozygosity, a key measure of diversity. Combining macroscopic fluctuation theory and microscopic simulations, we demonstrate that the scaling of density fluctuations in a spatial domain displays an early-time behaviour dominated by diffusive noise. Our exact results underscore the need for additional terms in existing continuum theories and highlight the necessity of including diffusive noise in models of spatially structured populations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_23698 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Diffusive noise controls early stages of genetic demixing Bhutia, Rashmiranjan Jose, Stephy Perlekar, Prasad Ramola, Kabir Statistical Mechanics Soft Condensed Matter Theoretical descriptions of the stepping-stone model, a cornerstone of spatial population genetics, have long overlooked diffusive noise arising from migration dynamics. We derive an exact fluctuating hydrodynamic description of this model from microscopic rules, which we then use to demonstrate that diffusive noise significantly alters early-time genetic demixing, which we characterize through heterozygosity, a key measure of diversity. Combining macroscopic fluctuation theory and microscopic simulations, we demonstrate that the scaling of density fluctuations in a spatial domain displays an early-time behaviour dominated by diffusive noise. Our exact results underscore the need for additional terms in existing continuum theories and highlight the necessity of including diffusive noise in models of spatially structured populations. |
| title | Diffusive noise controls early stages of genetic demixing |
| topic | Statistical Mechanics Soft Condensed Matter |
| url | https://arxiv.org/abs/2505.23698 |