[{"isi":1,"has_accepted_license":"1","year":"2021","day":"01","publication":"Networks and Spatial Economics","page":"291-323","doi":"10.1007/s11067-021-09517-w","date_published":"2021-06-01T00:00:00Z","date_created":"2021-03-10T12:18:47Z","acknowledgement":"The authors sincerely thank the Editor-in-Chief and anonymous referees for their careful reading, constructive comments and fruitful suggestions that help improve the manuscript. The research of the first author is supported by the National Research Foundation (NRF) South Africa (S& F-DSI/NRF Free Standing Postdoctoral Fellowship; Grant Number: 120784). The first author also acknowledges the financial support from DSI/NRF, South Africa Center of Excellence in Mathematical and Statistical Sciences (CoE-MaSS) Postdoctoral Fellowship. The second author has received funding from the European Research Council (ERC) under the European Union’s Seventh Framework Program (FP7 - 2007-2013) (Grant agreement No. 616160). Open Access funding provided by Institute of Science and Technology (IST Austria).","publisher":"Springer Nature","quality_controlled":"1","oa":1,"citation":{"mla":"Izuchukwu, Chinedu, and Yekini Shehu. “New Inertial Projection Methods for Solving Multivalued Variational Inequality Problems beyond Monotonicity.” Networks and Spatial Economics, vol. 21, no. 2, Springer Nature, 2021, pp. 291–323, doi:10.1007/s11067-021-09517-w.","ieee":"C. Izuchukwu and Y. Shehu, “New inertial projection methods for solving multivalued variational inequality problems beyond monotonicity,” Networks and Spatial Economics, vol. 21, no. 2. Springer Nature, pp. 291–323, 2021.","short":"C. Izuchukwu, Y. Shehu, Networks and Spatial Economics 21 (2021) 291–323.","apa":"Izuchukwu, C., & Shehu, Y. (2021). New inertial projection methods for solving multivalued variational inequality problems beyond monotonicity. Networks and Spatial Economics. Springer Nature. https://doi.org/10.1007/s11067-021-09517-w","ama":"Izuchukwu C, Shehu Y. New inertial projection methods for solving multivalued variational inequality problems beyond monotonicity. Networks and Spatial Economics. 2021;21(2):291-323. doi:10.1007/s11067-021-09517-w","chicago":"Izuchukwu, Chinedu, and Yekini Shehu. “New Inertial Projection Methods for Solving Multivalued Variational Inequality Problems beyond Monotonicity.” Networks and Spatial Economics. Springer Nature, 2021. https://doi.org/10.1007/s11067-021-09517-w.","ista":"Izuchukwu C, Shehu Y. 2021. New inertial projection methods for solving multivalued variational inequality problems beyond monotonicity. Networks and Spatial Economics. 21(2), 291–323."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","author":[{"full_name":"Izuchukwu, Chinedu","last_name":"Izuchukwu","first_name":"Chinedu"},{"orcid":"0000-0001-9224-7139","full_name":"Shehu, Yekini","last_name":"Shehu","id":"3FC7CB58-F248-11E8-B48F-1D18A9856A87","first_name":"Yekini"}],"external_id":{"isi":["000625002100001"]},"article_processing_charge":"Yes (via OA deal)","title":"New inertial projection methods for solving multivalued variational inequality problems beyond monotonicity","project":[{"call_identifier":"FP7","_id":"25FBA906-B435-11E9-9278-68D0E5697425","grant_number":"616160","name":"Discrete Optimization in Computer Vision: Theory and Practice"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"publication_identifier":{"issn":["1566-113X"],"eissn":["1572-9427"]},"publication_status":"published","file":[{"checksum":"22b4253a2e5da843622a2df713784b4c","file_id":"9884","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file","date_created":"2021-08-11T12:44:16Z","file_name":"2021_NetworksSpatialEconomics_Shehu.pdf","date_updated":"2021-08-11T12:44:16Z","file_size":834964,"creator":"kschuh"}],"language":[{"iso":"eng"}],"volume":21,"issue":"2","ec_funded":1,"abstract":[{"text":"In this paper, we present two new inertial projection-type methods for solving multivalued variational inequality problems in finite-dimensional spaces. We establish the convergence of the sequence generated by these methods when the multivalued mapping associated with the problem is only required to be locally bounded without any monotonicity assumption. Furthermore, the inertial techniques that we employ in this paper are quite different from the ones used in most papers. Moreover, based on the weaker assumptions on the inertial factor in our methods, we derive several special cases of our methods. Finally, we present some experimental results to illustrate the profits that we gain by introducing the inertial extrapolation steps.","lang":"eng"}],"oa_version":"Published Version","scopus_import":"1","month":"06","intvolume":" 21","date_updated":"2023-09-05T15:32:32Z","ddc":["510"],"department":[{"_id":"VlKo"}],"file_date_updated":"2021-08-11T12:44:16Z","_id":"9234","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","keyword":["Computer Networks and Communications","Software","Artificial Intelligence"]},{"abstract":[{"text":"We study the probabilistic convergence between the mapper graph and the Reeb graph of a topological space X equipped with a continuous function f:X→R. We first give a categorification of the mapper graph and the Reeb graph by interpreting them in terms of cosheaves and stratified covers of the real line R. We then introduce a variant of the classic mapper graph of Singh et al. (in: Eurographics symposium on point-based graphics, 2007), referred to as the enhanced mapper graph, and demonstrate that such a construction approximates the Reeb graph of (X,f) when it is applied to points randomly sampled from a probability density function concentrated on (X,f). Our techniques are based on the interleaving distance of constructible cosheaves and topological estimation via kernel density estimates. Following Munch and Wang (In: 32nd international symposium on computational geometry, volume 51 of Leibniz international proceedings in informatics (LIPIcs), Dagstuhl, Germany, pp 53:1–53:16, 2016), we first show that the mapper graph of (X,f), a constructible R-space (with a fixed open cover), approximates the Reeb graph of the same space. We then construct an isomorphism between the mapper of (X,f) to the mapper of a super-level set of a probability density function concentrated on (X,f). Finally, building on the approach of Bobrowski et al. (Bernoulli 23(1):288–328, 2017b), we show that, with high probability, we can recover the mapper of the super-level set given a sufficiently large sample. Our work is the first to consider the mapper construction using the theory of cosheaves in a probabilistic setting. It is part of an ongoing effort to combine sheaf theory, probability, and statistics, to support topological data analysis with random data.","lang":"eng"}],"oa_version":"Published Version","scopus_import":"1","intvolume":" 5","month":"03","publication_status":"published","publication_identifier":{"issn":["2367-1726"],"eissn":["2367-1734"]},"language":[{"iso":"eng"}],"file":[{"checksum":"3f02e9d47c428484733da0f588a3c069","file_id":"9112","success":1,"access_level":"open_access","relation":"main_file","content_type":"application/pdf","date_created":"2021-02-11T14:43:59Z","file_name":"2020_JourApplCompTopology_Brown.pdf","creator":"dernst","date_updated":"2021-02-11T14:43:59Z","file_size":2090265}],"ec_funded":1,"issue":"1","volume":5,"_id":"9111","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","article_type":"original","status":"public","date_updated":"2023-09-05T15:37:56Z","ddc":["510"],"file_date_updated":"2021-02-11T14:43:59Z","department":[{"_id":"HeEd"}],"acknowledgement":"AB was supported in part by the European Union’s Horizon 2020 research and innovation\r\nprogramme under the Marie Sklodowska-Curie GrantAgreement No. 754411 and NSF IIS-1513616. OB was supported in part by the Israel Science Foundation, Grant 1965/19. BW was supported in part by NSF IIS-1513616 and DBI-1661375. EM was supported in part by NSF CMMI-1800466, DMS-1800446, and CCF-1907591.We would like to thank the Institute for Mathematics and its Applications for hosting a workshop titled Bridging Statistics and Sheaves in May 2018, where this work was conceived.\r\nOpen Access funding provided by Institute of Science and Technology (IST Austria).","oa":1,"publisher":"Springer Nature","quality_controlled":"1","year":"2021","has_accepted_license":"1","publication":"Journal of Applied and Computational Topology","day":"01","page":"99-140","date_created":"2021-02-11T14:41:02Z","date_published":"2021-03-01T00:00:00Z","doi":"10.1007/s41468-020-00063-x","project":[{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"citation":{"chicago":"Brown, Adam, Omer Bobrowski, Elizabeth Munch, and Bei Wang. “Probabilistic Convergence and Stability of Random Mapper Graphs.” Journal of Applied and Computational Topology. Springer Nature, 2021. https://doi.org/10.1007/s41468-020-00063-x.","ista":"Brown A, Bobrowski O, Munch E, Wang B. 2021. Probabilistic convergence and stability of random mapper graphs. Journal of Applied and Computational Topology. 5(1), 99–140.","mla":"Brown, Adam, et al. “Probabilistic Convergence and Stability of Random Mapper Graphs.” Journal of Applied and Computational Topology, vol. 5, no. 1, Springer Nature, 2021, pp. 99–140, doi:10.1007/s41468-020-00063-x.","ieee":"A. Brown, O. Bobrowski, E. Munch, and B. Wang, “Probabilistic convergence and stability of random mapper graphs,” Journal of Applied and Computational Topology, vol. 5, no. 1. Springer Nature, pp. 99–140, 2021.","short":"A. Brown, O. Bobrowski, E. Munch, B. Wang, Journal of Applied and Computational Topology 5 (2021) 99–140.","apa":"Brown, A., Bobrowski, O., Munch, E., & Wang, B. (2021). Probabilistic convergence and stability of random mapper graphs. Journal of Applied and Computational Topology. Springer Nature. https://doi.org/10.1007/s41468-020-00063-x","ama":"Brown A, Bobrowski O, Munch E, Wang B. Probabilistic convergence and stability of random mapper graphs. Journal of Applied and Computational Topology. 2021;5(1):99-140. doi:10.1007/s41468-020-00063-x"},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","external_id":{"arxiv":["1909.03488"]},"article_processing_charge":"Yes (via OA deal)","author":[{"full_name":"Brown, Adam","last_name":"Brown","id":"70B7FDF6-608D-11E9-9333-8535E6697425","first_name":"Adam"},{"first_name":"Omer","full_name":"Bobrowski, Omer","last_name":"Bobrowski"},{"first_name":"Elizabeth","last_name":"Munch","full_name":"Munch, Elizabeth"},{"last_name":"Wang","full_name":"Wang, Bei","first_name":"Bei"}],"title":"Probabilistic convergence and stability of random mapper graphs"},{"license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","related_material":{"record":[{"status":"public","id":"13062","relation":"research_data"}]},"volume":75,"issue":"5","language":[{"iso":"eng"}],"file":[{"date_created":"2021-08-11T13:39:19Z","file_name":"2021_Evolution_Szep.pdf","date_updated":"2021-08-11T13:39:19Z","file_size":734102,"creator":"kschuh","checksum":"b90fb5767d623602046fed03725e16ca","file_id":"9886","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file"}],"publication_status":"published","publication_identifier":{"issn":["0014-3820"],"eissn":["1558-5646"]},"intvolume":" 75","month":"05","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"This paper analyses the conditions for local adaptation in a metapopulation with infinitely many islands under a model of hard selection, where population size depends on local fitness. Each island belongs to one of two distinct ecological niches or habitats. Fitness is influenced by an additive trait which is under habitat‐dependent directional selection. Our analysis is based on the diffusion approximation and accounts for both genetic drift and demographic stochasticity. By neglecting linkage disequilibria, it yields the joint distribution of allele frequencies and population size on each island. We find that under hard selection, the conditions for local adaptation in a rare habitat are more restrictive for more polygenic traits: even moderate migration load per locus at very many loci is sufficient for population sizes to decline. This further reduces the efficacy of selection at individual loci due to increased drift and because smaller populations are more prone to swamping due to migration, causing a positive feedback between increasing maladaptation and declining population sizes. Our analysis also highlights the importance of demographic stochasticity, which exacerbates the decline in numbers of maladapted populations, leading to population collapse in the rare habitat at significantly lower migration than predicted by deterministic arguments."}],"file_date_updated":"2021-08-11T13:39:19Z","department":[{"_id":"NiBa"}],"ddc":["570"],"date_updated":"2023-09-05T15:44:06Z","keyword":["Genetics","Ecology","Evolution","Behavior and Systematics","General Agricultural and Biological Sciences"],"status":"public","tmp":{"short":"CC BY-NC-ND (4.0)","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png"},"type":"journal_article","article_type":"original","_id":"9252","date_created":"2021-03-20T08:22:10Z","doi":"10.1111/evo.14210","date_published":"2021-05-01T00:00:00Z","page":"1030-1045","publication":"Evolution","day":"01","year":"2021","has_accepted_license":"1","isi":1,"oa":1,"publisher":"Wiley","quality_controlled":"1","acknowledgement":"We thank the reviewers for their helpful comments, and also our colleagues, for illuminating discussions over the long gestation of this paper.","title":"Polygenic local adaptation in metapopulations: A stochastic eco‐evolutionary model","external_id":{"isi":["000636966300001"]},"article_processing_charge":"Yes (via OA deal)","author":[{"id":"485BB5A4-F248-11E8-B48F-1D18A9856A87","first_name":"Eniko","full_name":"Szep, Eniko","last_name":"Szep"},{"last_name":"Sachdeva","full_name":"Sachdeva, Himani","first_name":"Himani","id":"42377A0A-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Barton","full_name":"Barton, Nicholas H","orcid":"0000-0002-8548-5240","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","first_name":"Nicholas H"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"mla":"Szep, Eniko, et al. “Polygenic Local Adaptation in Metapopulations: A Stochastic Eco‐evolutionary Model.” Evolution, vol. 75, no. 5, Wiley, 2021, pp. 1030–45, doi:10.1111/evo.14210.","ama":"Szep E, Sachdeva H, Barton NH. Polygenic local adaptation in metapopulations: A stochastic eco‐evolutionary model. Evolution. 2021;75(5):1030-1045. doi:10.1111/evo.14210","apa":"Szep, E., Sachdeva, H., & Barton, N. H. (2021). Polygenic local adaptation in metapopulations: A stochastic eco‐evolutionary model. Evolution. Wiley. https://doi.org/10.1111/evo.14210","short":"E. Szep, H. Sachdeva, N.H. Barton, Evolution 75 (2021) 1030–1045.","ieee":"E. Szep, H. Sachdeva, and N. H. Barton, “Polygenic local adaptation in metapopulations: A stochastic eco‐evolutionary model,” Evolution, vol. 75, no. 5. Wiley, pp. 1030–1045, 2021.","chicago":"Szep, Eniko, Himani Sachdeva, and Nicholas H Barton. “Polygenic Local Adaptation in Metapopulations: A Stochastic Eco‐evolutionary Model.” Evolution. Wiley, 2021. https://doi.org/10.1111/evo.14210.","ista":"Szep E, Sachdeva H, Barton NH. 2021. Polygenic local adaptation in metapopulations: A stochastic eco‐evolutionary model. Evolution. 75(5), 1030–1045."}},{"date_published":"2021-04-19T00:00:00Z","doi":"10.1111/evo.14235","date_created":"2021-05-06T04:34:47Z","page":"978-988","day":"19","publication":"Evolution","isi":1,"year":"2021","publisher":"Wiley","quality_controlled":"1","oa":1,"acknowledgement":"RKB was funded by the Natural Environment Research Council (NE/P012272/1 & NE/P001610/1), the European Research Council (693030 BARRIERS), and the Swedish Research Council (VR) (2018‐03695). MRS was funded by the National Science Foundation (Grant No. DEB1939290).","title":"Homage to Felsenstein 1981, or why are there so few/many species?","author":[{"last_name":"Butlin","full_name":"Butlin, Roger K.","first_name":"Roger K."},{"first_name":"Maria R.","last_name":"Servedio","full_name":"Servedio, Maria R."},{"first_name":"Carole M.","last_name":"Smadja","full_name":"Smadja, Carole M."},{"last_name":"Bank","full_name":"Bank, Claudia","first_name":"Claudia"},{"last_name":"Barton","orcid":"0000-0002-8548-5240","full_name":"Barton, Nicholas H","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","first_name":"Nicholas H"},{"first_name":"Samuel M.","last_name":"Flaxman","full_name":"Flaxman, Samuel M."},{"first_name":"Tatiana","full_name":"Giraud, Tatiana","last_name":"Giraud"},{"last_name":"Hopkins","full_name":"Hopkins, Robin","first_name":"Robin"},{"last_name":"Larson","full_name":"Larson, Erica L.","first_name":"Erica L."},{"last_name":"Maan","full_name":"Maan, Martine E.","first_name":"Martine E."},{"full_name":"Meier, Joana","last_name":"Meier","first_name":"Joana"},{"last_name":"Merrill","full_name":"Merrill, Richard","first_name":"Richard"},{"last_name":"Noor","full_name":"Noor, Mohamed A. F.","first_name":"Mohamed A. F."},{"first_name":"Daniel","last_name":"Ortiz‐Barrientos","full_name":"Ortiz‐Barrientos, Daniel"},{"full_name":"Qvarnström, Anna","last_name":"Qvarnström","first_name":"Anna"}],"external_id":{"isi":["000647224000001"]},"article_processing_charge":"No","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"chicago":"Butlin, Roger K., Maria R. Servedio, Carole M. Smadja, Claudia Bank, Nicholas H Barton, Samuel M. Flaxman, Tatiana Giraud, et al. “Homage to Felsenstein 1981, or Why Are There so Few/Many Species?” Evolution. Wiley, 2021. https://doi.org/10.1111/evo.14235.","ista":"Butlin RK, Servedio MR, Smadja CM, Bank C, Barton NH, Flaxman SM, Giraud T, Hopkins R, Larson EL, Maan ME, Meier J, Merrill R, Noor MAF, Ortiz‐Barrientos D, Qvarnström A. 2021. Homage to Felsenstein 1981, or why are there so few/many species? Evolution. 75(5), 978–988.","mla":"Butlin, Roger K., et al. “Homage to Felsenstein 1981, or Why Are There so Few/Many Species?” Evolution, vol. 75, no. 5, Wiley, 2021, pp. 978–88, doi:10.1111/evo.14235.","short":"R.K. Butlin, M.R. Servedio, C.M. Smadja, C. Bank, N.H. Barton, S.M. Flaxman, T. Giraud, R. Hopkins, E.L. Larson, M.E. Maan, J. Meier, R. Merrill, M.A.F. Noor, D. Ortiz‐Barrientos, A. Qvarnström, Evolution 75 (2021) 978–988.","ieee":"R. K. Butlin et al., “Homage to Felsenstein 1981, or why are there so few/many species?,” Evolution, vol. 75, no. 5. Wiley, pp. 978–988, 2021.","ama":"Butlin RK, Servedio MR, Smadja CM, et al. Homage to Felsenstein 1981, or why are there so few/many species? Evolution. 2021;75(5):978-988. doi:10.1111/evo.14235","apa":"Butlin, R. K., Servedio, M. R., Smadja, C. M., Bank, C., Barton, N. H., Flaxman, S. M., … Qvarnström, A. (2021). Homage to Felsenstein 1981, or why are there so few/many species? Evolution. Wiley. https://doi.org/10.1111/evo.14235"},"volume":75,"issue":"5","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0014-3820"],"eissn":["1558-5646"]},"publication_status":"published","month":"04","intvolume":" 75","main_file_link":[{"open_access":"1","url":"https://onlinelibrary.wiley.com/doi/10.1111/evo.14235"}],"oa_version":"Published Version","abstract":[{"text":"If there are no constraints on the process of speciation, then the number of species might be expected to match the number of available niches and this number might be indefinitely large. One possible constraint is the opportunity for allopatric divergence. In 1981, Felsenstein used a simple and elegant model to ask if there might also be genetic constraints. He showed that progress towards speciation could be described by the build‐up of linkage disequilibrium among divergently selected loci and between these loci and those contributing to other forms of reproductive isolation. Therefore, speciation is opposed by recombination, because it tends to break down linkage disequilibria. Felsenstein then introduced a crucial distinction between “two‐allele” models, which are subject to this effect, and “one‐allele” models, which are free from the recombination constraint. These fundamentally important insights have been the foundation for both empirical and theoretical studies of speciation ever since.","lang":"eng"}],"department":[{"_id":"NiBa"}],"date_updated":"2023-09-05T15:44:33Z","status":"public","keyword":["Genetics","Ecology","Evolution","Behavior and Systematics","General Agricultural and Biological Sciences"],"article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"_id":"9374"},{"ddc":["570"],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Szep, Eniko, et al. Supplementary Code for: Polygenic Local Adaptation in Metapopulations: A Stochastic Eco-Evolutionary Model. Dryad, 2021, doi:10.5061/DRYAD.8GTHT76P1.","ieee":"E. Szep, H. Sachdeva, and N. H. Barton, “Supplementary code for: Polygenic local adaptation in metapopulations: A stochastic eco-evolutionary model.” Dryad, 2021.","short":"E. Szep, H. Sachdeva, N.H. Barton, (2021).","apa":"Szep, E., Sachdeva, H., & Barton, N. H. (2021). Supplementary code for: Polygenic local adaptation in metapopulations: A stochastic eco-evolutionary model. Dryad. https://doi.org/10.5061/DRYAD.8GTHT76P1","ama":"Szep E, Sachdeva H, Barton NH. Supplementary code for: Polygenic local adaptation in metapopulations: A stochastic eco-evolutionary model. 2021. doi:10.5061/DRYAD.8GTHT76P1","chicago":"Szep, Eniko, Himani Sachdeva, and Nicholas H Barton. “Supplementary Code for: Polygenic Local Adaptation in Metapopulations: A Stochastic Eco-Evolutionary Model.” Dryad, 2021. https://doi.org/10.5061/DRYAD.8GTHT76P1.","ista":"Szep E, Sachdeva H, Barton NH. 2021. Supplementary code for: Polygenic local adaptation in metapopulations: A stochastic eco-evolutionary model, Dryad, 10.5061/DRYAD.8GTHT76P1."},"date_updated":"2023-09-05T15:44:05Z","title":"Supplementary code for: Polygenic local adaptation in metapopulations: A stochastic eco-evolutionary model","department":[{"_id":"NiBa"}],"article_processing_charge":"No","author":[{"id":"485BB5A4-F248-11E8-B48F-1D18A9856A87","first_name":"Eniko","full_name":"Szep, Eniko","last_name":"Szep"},{"id":"42377A0A-F248-11E8-B48F-1D18A9856A87","first_name":"Himani","last_name":"Sachdeva","full_name":"Sachdeva, Himani"},{"id":"4880FE40-F248-11E8-B48F-1D18A9856A87","first_name":"Nicholas H","full_name":"Barton, Nicholas H","orcid":"0000-0002-8548-5240","last_name":"Barton"}],"_id":"13062","status":"public","tmp":{"image":"/images/cc_0.png","legal_code_url":"https://creativecommons.org/publicdomain/zero/1.0/legalcode","name":"Creative Commons Public Domain Dedication (CC0 1.0)","short":"CC0 (1.0)"},"type":"research_data_reference","day":"02","year":"2021","license":"https://creativecommons.org/publicdomain/zero/1.0/","date_created":"2023-05-23T16:17:02Z","related_material":{"record":[{"id":"9252","status":"public","relation":"used_in_publication"}]},"doi":"10.5061/DRYAD.8GTHT76P1","date_published":"2021-03-02T00:00:00Z","oa_version":"Published Version","abstract":[{"text":"This paper analyzes the conditions for local adaptation in a metapopulation with infinitely many islands under a model of hard selection, where population size depends on local fitness. Each island belongs to one of two distinct ecological niches or habitats. Fitness is influenced by an additive trait which is under habitat-dependent directional selection. Our analysis is based on the diffusion approximation and accounts for both genetic drift and demographic stochasticity. By neglecting linkage disequilibria, it yields the joint distribution of allele frequencies and population size on each island. We find that under hard selection, the conditions for local adaptation in a rare habitat are more restrictive for more polygenic traits: even moderate migration load per locus at very many loci is sufficient for population sizes to decline. This further reduces the efficacy of selection at individual loci due to increased drift and because smaller populations are more prone to swamping due to migration, causing a positive feedback between increasing maladaptation and declining population sizes. Our analysis also highlights the importance of demographic stochasticity, which exacerbates the decline in numbers of maladapted populations, leading to population collapse in the rare habitat at significantly lower migration than predicted by deterministic arguments.","lang":"eng"}],"month":"03","oa":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.5061/dryad.8gtht76p1"}],"publisher":"Dryad"}]