--- OA_place: publisher _id: '21918' acknowledged_ssus: - _id: ScienComp acknowledgement: "At different stages of my PhD, my work was supported by several grants: the\r\nDOC fellowship of the Austrian Academy of Sciences (26293, awarded to me),\r\nthe FWF-SFB grant (PT1032F06504 n. F65, awarded to Jan Maas), and the ERC\r\ngrant (PR1032ERC01 n. 716117, awarded to Jan Maas). I also appreciate the help\r\nfrom the Scientific Computing unit for their advice on the cluster usage." alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Kseniia full_name: Khudiakova, Kseniia id: 4E6DC800-AE37-11E9-AC72-31CAE5697425 last_name: Khudiakova orcid: 0000-0002-6246-1465 citation: ama: Khudiakova K. How epistasis and purifying selection shape genetic diversity. 2026. doi:10.15479/AT-ISTA-21918 apa: Khudiakova, K. (2026). How epistasis and purifying selection shape genetic diversity. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-21918 chicago: Khudiakova, Kseniia. “How Epistasis and Purifying Selection Shape Genetic Diversity.” Institute of Science and Technology Austria, 2026. https://doi.org/10.15479/AT-ISTA-21918. ieee: K. Khudiakova, “How epistasis and purifying selection shape genetic diversity,” Institute of Science and Technology Austria, 2026. ista: Khudiakova K. 2026. How epistasis and purifying selection shape genetic diversity. Institute of Science and Technology Austria. mla: Khudiakova, Kseniia. How Epistasis and Purifying Selection Shape Genetic Diversity. Institute of Science and Technology Austria, 2026, doi:10.15479/AT-ISTA-21918. short: K. Khudiakova, How Epistasis and Purifying Selection Shape Genetic Diversity, Institute of Science and Technology Austria, 2026. corr_author: '1' date_created: 2026-05-27T06:26:08Z date_published: 2026-06-07T00:00:00Z date_updated: 2026-06-12T12:43:35Z day: '07' ddc: - '576' degree_awarded: PhD department: - _id: GradSch - _id: NiBa - _id: JaMa doi: 10.15479/AT-ISTA-21918 ec_funded: 1 file: - access_level: closed checksum: 0cff64ae74f0f9f2d7011700c82f700a content_type: application/x-zip-compressed creator: kkhudiak date_created: 2026-06-09T08:34:38Z date_updated: 2026-06-09T08:40:48Z file_id: '21965' file_name: thesis.zip file_size: 20549813 relation: source_file - access_level: closed checksum: 547ae42de37cc86894af283f1664dbc8 content_type: application/pdf creator: kkhudiak date_created: 2026-06-09T12:28:51Z date_updated: 2026-06-11T12:14:53Z embargo: 2027-06-10 embargo_to: open_access file_id: '21969' file_name: 2026_Khudiakova_Ksenia_Thesis.pdf file_size: 9387029 relation: main_file file_date_updated: 2026-06-11T12:14:53Z fulldoi: https://doi.org/10.15479/AT-ISTA-21918 has_accepted_license: '1' language: - iso: eng license: https://creativecommons.org/licenses/by-nc-nd/4.0/ month: '06' oa_version: Published Version page: '89' project: - _id: 256E75B8-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '716117' name: Optimal Transport and Stochastic Dynamics - _id: 34d33d68-11ca-11ed-8bc3-ec13763c0ca8 grant_number: '26293' name: The impact of deleterious mutations on small populations - _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2 grant_number: F6504 name: Taming Complexity in Partial Differential Systems publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '11447' relation: part_of_dissertation status: public - id: '12513' relation: part_of_dissertation status: deleted - id: '21967' relation: part_of_dissertation status: public - id: '21968' relation: part_of_dissertation status: public status: public supervisor: - first_name: Nicholas H full_name: Barton, Nicholas H id: 4880FE40-F248-11E8-B48F-1D18A9856A87 last_name: Barton orcid: 0000-0002-8548-5240 - first_name: Jan full_name: Maas, Jan id: 4C5696CE-F248-11E8-B48F-1D18A9856A87 last_name: Maas orcid: 0000-0002-0845-1338 title: How epistasis and purifying selection shape genetic diversity tmp: image: /images/cc_by_nc_nd.png legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) short: CC BY-NC-ND (4.0) type: dissertation user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 year: '2026' ... --- OA_place: publisher OA_type: hybrid PlanS_conform: '1' _id: '22998' abstract: - lang: eng text: Balancing selection, a form of selection that maintains genetic diversity, is difficult to detect, and the importance of balancing selection for the maintenance of genetic variation may be larger than often assumed. We model the possibility that the diversity-promoting effects of balancing selection extend to other loci that show sign epistasis with a locus under balancing selection. Rather than focusing on overdominance, as was done in previous efforts, we explore the effects of negative frequency dependence and show that this has important effects on the conditions under which the diversity-promoting effect of epistasis can occur in diploids. Our results show that not only recombination rate but also the dominance of sign epistasis are key parameters that determine the maintenance of polymorphism beyond the locus under direct balancing selection. We suggest that the effect we explore may play a significant role, especially when balancing selection acts on major effect loci. acknowledgement: This work was funded by grants from the Swedish Research Council (2023-03730 to G.A.) and the DOC fellowship from the Austrian Academy of Science (26293 to K.K.). We thank L. Rowe for valuable discussions. article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Kseniia full_name: Khudiakova, Kseniia id: 4E6DC800-AE37-11E9-AC72-31CAE5697425 last_name: Khudiakova orcid: 0000-0002-6246-1465 - first_name: Nicholas H full_name: Barton, Nicholas H id: 4880FE40-F248-11E8-B48F-1D18A9856A87 last_name: Barton orcid: 0000-0002-8548-5240 - first_name: Göran full_name: Arnqvist, Göran last_name: Arnqvist biorxivid: 1 citation: ama: Khudiakova K, Barton NH, Arnqvist G. Sign epistasis extends the effects of balancing selection on genetic diversity. Theoretical Population Biology. 2026;172:48-55. doi:10.1016/j.tpb.2026.09.001 apa: Khudiakova, K., Barton, N. H., & Arnqvist, G. (2026). Sign epistasis extends the effects of balancing selection on genetic diversity. Theoretical Population Biology. https://doi.org/10.1016/j.tpb.2026.09.001 chicago: Khudiakova, Kseniia, Nicholas H Barton, and Göran Arnqvist. “Sign Epistasis Extends the Effects of Balancing Selection on Genetic Diversity.” Theoretical Population Biology, 2026. https://doi.org/10.1016/j.tpb.2026.09.001. ieee: K. Khudiakova, N. H. Barton, and G. Arnqvist, “Sign epistasis extends the effects of balancing selection on genetic diversity,” Theoretical Population Biology, vol. 172. pp. 48–55, 2026. ista: Khudiakova K, Barton NH, Arnqvist G. 2026. Sign epistasis extends the effects of balancing selection on genetic diversity. Theoretical Population Biology. 172, 48–55. mla: Khudiakova, Kseniia, et al. “Sign Epistasis Extends the Effects of Balancing Selection on Genetic Diversity.” Theoretical Population Biology, vol. 172, 2026, pp. 48–55, doi:10.1016/j.tpb.2026.09.001. short: K. Khudiakova, N.H. Barton, G. Arnqvist, Theoretical Population Biology 172 (2026) 48–55. corr_author: '1' das_tickbox: '1' dataavailabilitystatement: The Python code used for the numerical analyses is available online at https://github.com/khudyakovaks/Sign-epistasis-extends-the-effects-of-balancing-selection-on-genetic-diversity. date_created: 2026-09-27T22:01:51Z date_published: 2026-09-17T00:00:00Z date_updated: 2026-10-07T06:38:02Z day: '17' ddc: - '500' - '570' department: - _id: JaMa - _id: GradSch - _id: NiBa doi: 10.1016/j.tpb.2026.09.001 external_id: biorxivid: - 10.1101/2025.04.09.647826 pmid: - '42722132' fulldoi: https://doi.org/10.1016/j.tpb.2026.09.001 has_accepted_license: '1' intvolume: ' 172' keyword: - Sign epistasis - Balancing selection - Within-population genetic variation language: - iso: eng license: https://creativecommons.org/licenses/by/4.0/ main_file_link: - open_access: '1' url: https://doi.org/10.1016/j.tpb.2026.09.001 month: '09' oa: 1 oa_version: Published Version page: 48-55 pmid: 1 project: - _id: 34d33d68-11ca-11ed-8bc3-ec13763c0ca8 grant_number: '26293' name: The impact of deleterious mutations on small populations publication: Theoretical Population Biology publication_identifier: eissn: - 1096-0325 issn: - 0040-5809 publication_status: epub_ahead quality_controlled: '1' related_material: record: - id: '21968' relation: earlier_version status: public researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: yes title: Sign epistasis extends the effects of balancing selection on genetic diversity tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 172 year: '2026' ... --- OA_place: repository OA_type: green _id: '21968' abstract: - lang: eng text: Balancing selection, a form of selection that maintains genetic diversity, is difficult to detect, and the importance of balancing selection for the maintenance of genetic variation may be larger than often assumed. We model the possibility that the diversity-promoting effects of balancing selection extend to other loci that show sign epistasis with a locus under balancing selection. Rather than focusing on overdominance, as was done in previous efforts, we explore the effects of negative frequency dependence and show that this has important effects on the conditions under which the diversity-promoting effect of epistasis can occur in diploids. Our results show that not only recombination rate but also the dominance of sign epistasis are key parameters that determine the maintenance of polymorphism beyond the locus under direct balancing selection. We suggest that the effect we explore may play a significant role, especially when balancing selection acts on major effect loci. acknowledgement: This work was funded by grants from the Swedish Research Council (2023-03730 to G.A.) and the DOC fellowship from the Austrian Academy of Science (26293 to K.K.). article_processing_charge: No author: - first_name: Kseniia full_name: Khudiakova, Kseniia id: 4E6DC800-AE37-11E9-AC72-31CAE5697425 last_name: Khudiakova orcid: 0000-0002-6246-1465 - first_name: Nicholas H full_name: Barton, Nicholas H id: 4880FE40-F248-11E8-B48F-1D18A9856A87 last_name: Barton orcid: 0000-0002-8548-5240 - first_name: Goran full_name: Arnqvist, Goran last_name: Arnqvist citation: ama: Khudiakova K, Barton NH, Arnqvist G. Sign epistasis extends the effects of balancing selection on genetic diversity. bioRxiv. doi:10.1101/2025.04.09.647826 apa: Khudiakova, K., Barton, N. H., & Arnqvist, G. (n.d.). Sign epistasis extends the effects of balancing selection on genetic diversity. bioRxiv. https://doi.org/10.1101/2025.04.09.647826 chicago: Khudiakova, Kseniia, Nicholas H Barton, and Goran Arnqvist. “Sign Epistasis Extends the Effects of Balancing Selection on Genetic Diversity.” BioRxiv, n.d. https://doi.org/10.1101/2025.04.09.647826. ieee: K. Khudiakova, N. H. Barton, and G. Arnqvist, “Sign epistasis extends the effects of balancing selection on genetic diversity,” bioRxiv. . ista: Khudiakova K, Barton NH, Arnqvist G. Sign epistasis extends the effects of balancing selection on genetic diversity. bioRxiv, 10.1101/2025.04.09.647826. mla: Khudiakova, Kseniia, et al. “Sign Epistasis Extends the Effects of Balancing Selection on Genetic Diversity.” BioRxiv, doi:10.1101/2025.04.09.647826. short: K. Khudiakova, N.H. Barton, G. Arnqvist, BioRxiv (n.d.). corr_author: '1' date_created: 2026-06-09T12:26:11Z date_published: 2026-04-23T00:00:00Z date_updated: 2026-10-07T06:38:01Z day: '23' department: - _id: NiBa - _id: JaMa doi: 10.1101/2025.04.09.647826 fulldoi: https://doi.org/10.1101/2025.04.09.647826 language: - iso: eng license: https://creativecommons.org/licenses/by-nc/4.0/ main_file_link: - open_access: '1' url: https://doi.org/10.1101/2025.04.09.647826 month: '04' oa: 1 oa_version: Preprint project: - _id: 34d33d68-11ca-11ed-8bc3-ec13763c0ca8 grant_number: '26293' name: The impact of deleterious mutations on small populations publication: bioRxiv publication_status: draft related_material: record: - id: '21918' relation: dissertation_contains status: public - id: '22998' relation: later_version status: public status: public title: Sign epistasis extends the effects of balancing selection on genetic diversity tmp: image: /images/cc_by_nc.png legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) short: CC BY-NC (4.0) type: preprint user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 year: '2026' ... --- OA_place: repository OA_type: green _id: '21322' abstract: - lang: eng text: Habitat fragmentation poses a significant risk to population survival, causing both demographic stochasticity and genetic drift within local populations to increase, thereby increasing genetic load. Higher load causes population numbers to decline, which reduces the efficiency of selection and further increases load, resulting in a positive feedback that may drive entire populations to extinction. Here, we investigate this eco-evolutionary feedback in a metapopulation consisting of local demes connected via migration, with individuals subject to deleterious mutation at a large number of loci. We first analyze the determinants of load under soft selection, where population sizes are fixed, and then build on this to understand hard selection, where population sizes and load coevolve. We show that under soft selection, very little gene flow (less than one migrant per generation) is enough to prevent fixation of deleterious alleles. By contrast, much higher levels of migration are required to mitigate load and prevent extinction when selection is hard, with critical migration thresholds for metapopulation persistence increasing sharply as the genome-wide deleterious mutation rate becomes comparable to the baseline population growth rate. Moreover, critical migration thresholds are highest if deleterious mutations have intermediate selection coefficients but lower if alleles are predominantly recessive rather than additive (due to more efficient purging of recessive load within local populations). Our analysis is based on a combination of analytical approximations and simulations, allowing for a more comprehensive understanding of the factors influencing load and extinction in fragmented populations. acknowledgement: 'This research was partially funded by the Austrian Science Fund (FWF P-32896B) and DOC Fellowships of the Austrian Academy of Sciences: grants 26380 (O.O.) and 26293 (K.K.). We thank Nick Barton for useful comments on the chapter in O.O.’s thesis that led to this article.' article_processing_charge: No article_type: original author: - first_name: Oluwafunmilola O full_name: Olusanya, Oluwafunmilola O id: 41AD96DC-F248-11E8-B48F-1D18A9856A87 last_name: Olusanya orcid: 0000-0003-1971-8314 - first_name: Kseniia full_name: Khudiakova, Kseniia id: 4E6DC800-AE37-11E9-AC72-31CAE5697425 last_name: Khudiakova orcid: 0000-0002-6246-1465 - first_name: Himani full_name: Sachdeva, Himani id: 42377A0A-F248-11E8-B48F-1D18A9856A87 last_name: Sachdeva citation: ama: Olusanya OO, Khudiakova K, Sachdeva H. Genetic load, eco-evolutionary feedback, and extinction in metapopulations. The American Naturalist. 2025;205(6):617-636. doi:10.1086/735562 apa: Olusanya, O. O., Khudiakova, K., & Sachdeva, H. (2025). Genetic load, eco-evolutionary feedback, and extinction in metapopulations. The American Naturalist. University of Chicago Press. https://doi.org/10.1086/735562 chicago: Olusanya, Oluwafunmilola O, Kseniia Khudiakova, and Himani Sachdeva. “Genetic Load, Eco-Evolutionary Feedback, and Extinction in Metapopulations.” The American Naturalist. University of Chicago Press, 2025. https://doi.org/10.1086/735562. ieee: O. O. Olusanya, K. Khudiakova, and H. Sachdeva, “Genetic load, eco-evolutionary feedback, and extinction in metapopulations,” The American Naturalist, vol. 205, no. 6. University of Chicago Press, pp. 617–636, 2025. ista: Olusanya OO, Khudiakova K, Sachdeva H. 2025. Genetic load, eco-evolutionary feedback, and extinction in metapopulations. The American Naturalist. 205(6), 617–636. mla: Olusanya, Oluwafunmilola O., et al. “Genetic Load, Eco-Evolutionary Feedback, and Extinction in Metapopulations.” The American Naturalist, vol. 205, no. 6, University of Chicago Press, 2025, pp. 617–36, doi:10.1086/735562. short: O.O. Olusanya, K. Khudiakova, H. Sachdeva, The American Naturalist 205 (2025) 617–636. corr_author: '1' date_created: 2026-02-18T10:47:18Z date_published: 2025-06-01T00:00:00Z date_updated: 2026-04-07T08:45:14Z day: '01' department: - _id: JaMa - _id: NiBa doi: 10.1086/735562 external_id: pmid: - '40446297 ' fulldoi: https://doi.org/10.1086/735562 intvolume: ' 205' issue: '6' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.1101/2023.12.02.569702 month: '06' oa: 1 oa_version: Preprint page: 617-636 pmid: 1 project: - _id: c08d3278-5a5b-11eb-8a69-fdb09b55f4b8 grant_number: P32896 name: Causes and consequences of population fragmentation - _id: 34c872fe-11ca-11ed-8bc3-8534b82131e6 grant_number: '26380' name: Polygenic Adaptation in a Metapopulation - _id: 34d33d68-11ca-11ed-8bc3-ec13763c0ca8 grant_number: '26293' name: The impact of deleterious mutations on small populations publication: The American Naturalist publication_identifier: eissn: - 1537-5323 issn: - 0003-0147 publication_status: published publisher: University of Chicago Press quality_controlled: '1' related_material: record: - id: '14732' relation: earlier_version status: public scopus_import: '1' status: public title: Genetic load, eco-evolutionary feedback, and extinction in metapopulations type: journal_article user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd volume: 205 year: '2025' ... --- OA_place: repository OA_type: green _id: '20050' abstract: - lang: eng text: We prove upper bounds on the L∞-Wasserstein distance from optimal transport between strongly log-concave probability densities and log-Lipschitz perturbations. In the simplest setting, such a bound amounts to a transport-information inequality involving the L∞-Wasserstein metric and the relative L∞-Fisher information. We show that this inequality can be sharpened significantly in situations where the involved densities are anisotropic. Our proof is based on probabilistic techniques using Langevin dynamics. As an application of these results, we obtain sharp exponential rates of convergence in Fisher’s infinitesimal model from quantitative genetics, generalising recent results by Calvez, Poyato, and Santambrogio in dimension 1 to arbitrary dimensions. acknowledgement: This research was funded in part by the Austrian Science Fund (FWF) project 10.55776/F65 and the Austrian Academy of Science, DOC fellowship nr. 26293. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Kseniia full_name: Khudiakova, Kseniia id: 4E6DC800-AE37-11E9-AC72-31CAE5697425 last_name: Khudiakova orcid: 0000-0002-6246-1465 - first_name: Jan full_name: Maas, Jan id: 4C5696CE-F248-11E8-B48F-1D18A9856A87 last_name: Maas orcid: 0000-0002-0845-1338 - first_name: Francesco full_name: Pedrotti, Francesco id: d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c last_name: Pedrotti citation: ama: Khudiakova K, Maas J, Pedrotti F. L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model. The Annals of Applied Probability. 2025;35(3):1913-1940. doi:10.1214/25-aap2162 apa: Khudiakova, K., Maas, J., & Pedrotti, F. (2025). L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model. The Annals of Applied Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/25-aap2162 chicago: Khudiakova, Kseniia, Jan Maas, and Francesco Pedrotti. “L∞-Optimal Transport of Anisotropic Log-Concave Measures and Exponential Convergence in Fisher’s Infinitesimal Model.” The Annals of Applied Probability. Institute of Mathematical Statistics, 2025. https://doi.org/10.1214/25-aap2162. ieee: K. Khudiakova, J. Maas, and F. Pedrotti, “L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model,” The Annals of Applied Probability, vol. 35, no. 3. Institute of Mathematical Statistics, pp. 1913–1940, 2025. ista: Khudiakova K, Maas J, Pedrotti F. 2025. L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model. The Annals of Applied Probability. 35(3), 1913–1940. mla: Khudiakova, Kseniia, et al. “L∞-Optimal Transport of Anisotropic Log-Concave Measures and Exponential Convergence in Fisher’s Infinitesimal Model.” The Annals of Applied Probability, vol. 35, no. 3, Institute of Mathematical Statistics, 2025, pp. 1913–40, doi:10.1214/25-aap2162. short: K. Khudiakova, J. Maas, F. Pedrotti, The Annals of Applied Probability 35 (2025) 1913–1940. corr_author: '1' date_created: 2025-07-21T08:13:54Z date_published: 2025-06-01T00:00:00Z date_updated: 2026-10-02T12:20:10Z day: '01' department: - _id: JaMa doi: 10.1214/25-aap2162 external_id: arxiv: - '2402.04151' isi: - '001523520000012' fulldoi: https://doi.org/10.1214/25-aap2162 intvolume: ' 35' isi: 1 issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2402.04151 month: '06' oa: 1 oa_version: Preprint page: 1913-1940 project: - _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2 grant_number: F6504 name: Taming Complexity in Partial Differential Systems - _id: 34d33d68-11ca-11ed-8bc3-ec13763c0ca8 grant_number: '26293' name: The impact of deleterious mutations on small populations publication: The Annals of Applied Probability publication_identifier: issn: - 1050-5164 publication_status: published publisher: Institute of Mathematical Statistics quality_controlled: '1' related_material: record: - id: '17352' relation: earlier_version status: public scopus_import: '1' status: public title: L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 35 year: '2025' ... --- OA_type: green _id: '21967' abstract: - lang: eng text: "Selection against deleterious mutations, called purifying selection, plays a central role in evolution and acts in all populations. It is known that the genetic patterns observed in genomic regions undergoing purifying selection differ from those resulting from neutral evolution. However, a comprehensive understanding of the underlying mechanisms shaping those patterns is still lacking.\r\n\r\nIn the present work, we use simulations combined with a genealogical approach to identify the effect of purifying selection on the ancestry and thus on the genetic diversity. Our analysis relies on the postulate that the genealogy belongs to the universality class of Beta-coalescents. Under this assumption, we derive statistics measuring the distortion of the genealogy. This approach allows us to consider a wide range of regimes (i.e. arbitrary selection and mutation strengths) and uncover a rich phase diagram. We find that, for strong selection, the limiting genealogy is given by Kingman’s coalescent on a polynomial timescale. As selection gets weaker, Muller’s ratchet starts operating, setting off the emergence of multiple mergers in the genealogical structures. Our results show that while multiple-merger coalescents are often interpreted as the signature of selective sweeps in rapidly adapting populations, these structures can also appear in the context of Muller’s ratchet." acknowledgement: This work was supported by the Austrian Academy of Science, DOC fellowship No 26293 (K.K.) and the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 101034413 (J.T.). Simulations were performed on the ISTA High-performance Computing Cluster. article_processing_charge: No author: - first_name: Kseniia full_name: Khudiakova, Kseniia id: 4E6DC800-AE37-11E9-AC72-31CAE5697425 last_name: Khudiakova orcid: 0000-0002-6246-1465 - first_name: Florin full_name: Boenkost, Florin last_name: Boenkost - first_name: Julie N full_name: Tourniaire, Julie N id: 5dc06dd8-8e51-11ec-9170-8d9c450cc216 last_name: Tourniaire citation: ama: Khudiakova K, Boenkost F, Tourniaire JN. Genealogies under purifying selection. bioRxiv. doi:10.1101/2024.10.15.618444 apa: Khudiakova, K., Boenkost, F., & Tourniaire, J. N. (n.d.). Genealogies under purifying selection. bioRxiv. https://doi.org/10.1101/2024.10.15.618444 chicago: Khudiakova, Kseniia, Florin Boenkost, and Julie N Tourniaire. “Genealogies under Purifying Selection.” BioRxiv, n.d. https://doi.org/10.1101/2024.10.15.618444. ieee: K. Khudiakova, F. Boenkost, and J. N. Tourniaire, “Genealogies under purifying selection,” bioRxiv. . ista: Khudiakova K, Boenkost F, Tourniaire JN. Genealogies under purifying selection. bioRxiv, 10.1101/2024.10.15.618444. mla: Khudiakova, Kseniia, et al. “Genealogies under Purifying Selection.” BioRxiv, doi:10.1101/2024.10.15.618444. short: K. Khudiakova, F. Boenkost, J.N. Tourniaire, BioRxiv (n.d.). corr_author: '1' date_created: 2026-06-09T12:14:08Z date_published: 2024-10-18T00:00:00Z date_updated: 2026-06-12T12:43:34Z day: '18' department: - _id: NiBa - _id: JaMa doi: 10.1101/2024.10.15.618444 ec_funded: 1 fulldoi: https://doi.org/10.1101/2024.10.15.618444 language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.1101/2024.10.15.618444 month: '10' oa: 1 oa_version: Preprint project: - _id: 34d33d68-11ca-11ed-8bc3-ec13763c0ca8 grant_number: '26293' name: The impact of deleterious mutations on small populations - _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c call_identifier: H2020 grant_number: '101034413' name: 'IST-BRIDGE: International postdoctoral program' publication: bioRxiv publication_status: draft related_material: record: - id: '21918' relation: dissertation_contains status: public status: public title: Genealogies under purifying selection tmp: image: /images/cc_by_nc_nd.png legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) short: CC BY-NC-ND (4.0) type: preprint user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 year: '2024' ... --- OA_place: repository _id: '17352' abstract: - lang: eng text: "We prove upper bounds on the $L^\\infty$-Wasserstein distance from optimal\r\ntransport between strongly log-concave probability densities and log-Lipschitz\r\nperturbations. In the simplest setting, such a bound amounts to a\r\ntransport-information inequality involving the $L^\\infty$-Wasserstein metric\r\nand the relative $L^\\infty$-Fisher information. We show that this inequality\r\ncan be sharpened significantly in situations where the involved densities are\r\nanisotropic. Our proof is based on probabilistic techniques using Langevin\r\ndynamics. As an application of these results, we obtain sharp exponential rates\r\nof convergence in Fisher's infinitesimal model from quantitative genetics,\r\ngeneralising recent results by Calvez, Poyato, and Santambrogio in dimension 1\r\nto arbitrary dimensions." article_number: '2402.04151' article_processing_charge: No arxiv: 1 author: - first_name: Kseniia full_name: Khudiakova, Kseniia id: 4E6DC800-AE37-11E9-AC72-31CAE5697425 last_name: Khudiakova orcid: 0000-0002-6246-1465 - first_name: Jan full_name: Maas, Jan id: 4C5696CE-F248-11E8-B48F-1D18A9856A87 last_name: Maas orcid: 0000-0002-0845-1338 - first_name: Francesco full_name: Pedrotti, Francesco id: d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c last_name: Pedrotti citation: ama: Khudiakova K, Maas J, Pedrotti F. L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model. arXiv. doi:10.48550/arXiv.2402.04151 apa: Khudiakova, K., Maas, J., & Pedrotti, F. (n.d.). L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model. arXiv. https://doi.org/10.48550/arXiv.2402.04151 chicago: Khudiakova, Kseniia, Jan Maas, and Francesco Pedrotti. “L∞-Optimal Transport of Anisotropic Log-Concave Measures and Exponential Convergence in Fisher’s Infinitesimal Model.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2402.04151. ieee: K. Khudiakova, J. Maas, and F. Pedrotti, “L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model,” arXiv. . ista: Khudiakova K, Maas J, Pedrotti F. L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model. arXiv, 2402.04151. mla: Khudiakova, Kseniia, et al. “L∞-Optimal Transport of Anisotropic Log-Concave Measures and Exponential Convergence in Fisher’s Infinitesimal Model.” ArXiv, 2402.04151, doi:10.48550/arXiv.2402.04151. short: K. Khudiakova, J. Maas, F. Pedrotti, ArXiv (n.d.). corr_author: '1' das_tickbox: '0' date_created: 2024-07-31T08:07:40Z date_published: 2024-02-07T00:00:00Z date_updated: 2026-10-02T12:20:11Z day: '07' department: - _id: JaMa doi: 10.48550/arXiv.2402.04151 external_id: arxiv: - '2402.04151' fulldoi: https://doi.org/10.48550/arXiv.2402.04151 language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2402.04151 month: '02' oa: 1 oa_version: Preprint project: - _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2 grant_number: F6504 name: Taming Complexity in Partial Differential Systems - _id: 34d33d68-11ca-11ed-8bc3-ec13763c0ca8 grant_number: '26293' name: The impact of deleterious mutations on small populations publication: arXiv publication_status: draft related_material: record: - id: '20050' relation: later_version status: public - id: '17336' relation: dissertation_contains status: public researchdata_availability: no status: public supplementarymaterial: no title: L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher's infinitesimal model type: preprint user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 year: '2024' ... --- OA_place: repository _id: '14732' abstract: - lang: eng text: 'Fragmented landscapes pose a significant threat to the persistence of species as they are highly susceptible to heightened risk of extinction due to the combined effects of genetic and demographic factors such as genetic drift and demographic stochasticity. This paper explores the intricate interplay between genetic load and extinction risk within metapopulations with a focus on understanding the impact of eco-evolutionary feedback mechanisms. We distinguish between two models of selection: soft selection, characterised by subpopulations maintaining carrying capacity despite load, and hard selection, where load can significantly affect population size. Within the soft selection framework, we investigate the impact of gene flow on genetic load at a single locus, while also considering the effect of selection strength and dominance coefficient. We subsequently build on this to examine how gene flow influences both population size and load under hard selection as well as identify critical thresholds for metapopulation persistence. Our analysis employs the diffusion, semi-deterministic and effective migration approximations. Our findings reveal that under soft selection, even modest levels of migration can significantly alleviate the burden of load. In sharp contrast, with hard selection, a much higher degree of gene flow is required to mitigate load and prevent the collapse of the metapopulation. Overall, this study sheds light into the crucial role migration plays in shaping the dynamics of genetic load and extinction risk in fragmented landscapes, offering valuable insights for conservation strategies and the preservation of diversity in a changing world.' article_processing_charge: No author: - first_name: Oluwafunmilola O full_name: Olusanya, Oluwafunmilola O id: 41AD96DC-F248-11E8-B48F-1D18A9856A87 last_name: Olusanya orcid: 0000-0003-1971-8314 - first_name: Kseniia full_name: Khudiakova, Kseniia id: 4E6DC800-AE37-11E9-AC72-31CAE5697425 last_name: Khudiakova orcid: 0000-0002-6246-1465 - first_name: Himani full_name: Sachdeva, Himani id: 42377A0A-F248-11E8-B48F-1D18A9856A87 last_name: Sachdeva citation: ama: Olusanya OO, Khudiakova K, Sachdeva H. Genetic load, eco-evolutionary feedback and extinction in a metapopulation. bioRxiv. doi:10.1101/2023.12.02.569702 apa: Olusanya, O. O., Khudiakova, K., & Sachdeva, H. (n.d.). Genetic load, eco-evolutionary feedback and extinction in a metapopulation. bioRxiv. https://doi.org/10.1101/2023.12.02.569702 chicago: Olusanya, Oluwafunmilola O, Kseniia Khudiakova, and Himani Sachdeva. “Genetic Load, Eco-Evolutionary Feedback and Extinction in a Metapopulation.” BioRxiv, n.d. https://doi.org/10.1101/2023.12.02.569702. ieee: O. O. Olusanya, K. Khudiakova, and H. Sachdeva, “Genetic load, eco-evolutionary feedback and extinction in a metapopulation,” bioRxiv. . ista: Olusanya OO, Khudiakova K, Sachdeva H. Genetic load, eco-evolutionary feedback and extinction in a metapopulation. bioRxiv, 10.1101/2023.12.02.569702. mla: Olusanya, Oluwafunmilola O., et al. “Genetic Load, Eco-Evolutionary Feedback and Extinction in a Metapopulation.” BioRxiv, doi:10.1101/2023.12.02.569702. short: O.O. Olusanya, K. Khudiakova, H. Sachdeva, BioRxiv (n.d.). corr_author: '1' date_created: 2024-01-04T09:35:54Z date_published: 2023-12-04T00:00:00Z date_updated: 2026-10-21T08:24:47Z day: '04' department: - _id: NiBa - _id: JaMa doi: 10.1101/2023.12.02.569702 fulldoi: https://doi.org/10.1101/2023.12.02.569702 language: - iso: eng main_file_link: - open_access: '1' url: https://www.biorxiv.org/content/10.1101/2023.12.02.569702v1 month: '12' oa: 1 oa_version: Preprint project: - _id: c08d3278-5a5b-11eb-8a69-fdb09b55f4b8 grant_number: P32896 name: Causes and consequences of population fragmentation - _id: 34d33d68-11ca-11ed-8bc3-ec13763c0ca8 grant_number: '26293' name: The impact of deleterious mutations on small populations - _id: 34c872fe-11ca-11ed-8bc3-8534b82131e6 grant_number: '26380' name: Polygenic Adaptation in a Metapopulation publication: bioRxiv publication_status: draft related_material: record: - id: '21322' relation: later_version status: public - id: '14711' relation: dissertation_contains status: public status: public title: Genetic load, eco-evolutionary feedback and extinction in a metapopulation tmp: image: /images/cc_by_nc_nd.png legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) short: CC BY-NC-ND (4.0) type: preprint user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2023' ...