[{"project":[{"name":"Limits to selection in biology and in evolutionary computation","grant_number":"250152","_id":"25B07788-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"}],"title":"Efficient inference of paternity and sibship inference given known maternity via hierarchical clustering","article_processing_charge":"No","external_id":{"isi":["000441753000007"]},"author":[{"id":"3153D6D4-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas","last_name":"Ellis","orcid":"0000-0002-8511-0254","full_name":"Ellis, Thomas"},{"full_name":"Field, David","orcid":"0000-0002-4014-8478","last_name":"Field","id":"419049E2-F248-11E8-B48F-1D18A9856A87","first_name":"David"},{"orcid":"0000-0002-8548-5240","full_name":"Barton, Nicholas H","last_name":"Barton","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","first_name":"Nicholas H"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"mla":"Ellis, Thomas, et al. “Efficient Inference of Paternity and Sibship Inference given Known Maternity via Hierarchical Clustering.” Molecular Ecology Resources, vol. 18, no. 5, Wiley, 2018, pp. 988–99, doi:10.1111/1755-0998.12782.","short":"T. Ellis, D. Field, N.H. Barton, Molecular Ecology Resources 18 (2018) 988–999.","ieee":"T. Ellis, D. Field, and N. H. Barton, “Efficient inference of paternity and sibship inference given known maternity via hierarchical clustering,” Molecular Ecology Resources, vol. 18, no. 5. Wiley, pp. 988–999, 2018.","apa":"Ellis, T., Field, D., & Barton, N. H. (2018). Efficient inference of paternity and sibship inference given known maternity via hierarchical clustering. Molecular Ecology Resources. Wiley. https://doi.org/10.1111/1755-0998.12782","ama":"Ellis T, Field D, Barton NH. Efficient inference of paternity and sibship inference given known maternity via hierarchical clustering. Molecular Ecology Resources. 2018;18(5):988-999. doi:10.1111/1755-0998.12782","chicago":"Ellis, Thomas, David Field, and Nicholas H Barton. “Efficient Inference of Paternity and Sibship Inference given Known Maternity via Hierarchical Clustering.” Molecular Ecology Resources. Wiley, 2018. https://doi.org/10.1111/1755-0998.12782.","ista":"Ellis T, Field D, Barton NH. 2018. Efficient inference of paternity and sibship inference given known maternity via hierarchical clustering. Molecular Ecology Resources. 18(5), 988–999."},"quality_controlled":"1","publisher":"Wiley","acknowledgement":"ERC, Grant/Award Number: 250152","date_created":"2018-12-11T11:45:37Z","date_published":"2018-09-01T00:00:00Z","doi":"10.1111/1755-0998.12782","page":"988 - 999","publication":"Molecular Ecology Resources","day":"01","year":"2018","isi":1,"status":"public","type":"journal_article","_id":"286","department":[{"_id":"NiBa"}],"date_updated":"2024-02-21T13:45:00Z","intvolume":" 18","month":"09","scopus_import":"1","oa_version":"None","abstract":[{"text":"Pedigree and sibship reconstruction are important methods in quantifying relationships and fitness of individuals in natural populations. Current methods employ a Markov chain-based algorithm to explore plausible possible pedigrees iteratively. This provides accurate results, but is time-consuming. Here, we develop a method to infer sibship and paternity relationships from half-sibling arrays of known maternity using hierarchical clustering. Given 50 or more unlinked SNP markers and empirically derived error rates, the method performs as well as the widely used package Colony, but is faster by two orders of magnitude. Using simulations, we show that the method performs well across contrasting mating scenarios, even when samples are large. We then apply the method to open-pollinated arrays of the snapdragon Antirrhinum majus and find evidence for a high degree of multiple mating. Although we focus on diploid SNP data, the method does not depend on marker type and as such has broad applications in nonmodel systems. ","lang":"eng"}],"ec_funded":1,"issue":"5","volume":18,"related_material":{"record":[{"status":"public","id":"5583","relation":"popular_science"}]},"language":[{"iso":"eng"}],"publication_status":"published"},{"author":[{"full_name":"Ellis, Thomas","orcid":"0000-0002-8511-0254","last_name":"Ellis","first_name":"Thomas","id":"3153D6D4-F248-11E8-B48F-1D18A9856A87"}],"article_processing_charge":"No","file_date_updated":"2020-07-14T12:47:07Z","title":"Data and Python scripts supporting Python package FAPS","department":[{"_id":"NiBa"}],"citation":{"ista":"Ellis T. 2018. Data and Python scripts supporting Python package FAPS, Institute of Science and Technology Austria, 10.15479/AT:ISTA:95.","chicago":"Ellis, Thomas. “Data and Python Scripts Supporting Python Package FAPS.” Institute of Science and Technology Austria, 2018. https://doi.org/10.15479/AT:ISTA:95.","apa":"Ellis, T. (2018). Data and Python scripts supporting Python package FAPS. Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:95","ama":"Ellis T. Data and Python scripts supporting Python package FAPS. 2018. doi:10.15479/AT:ISTA:95","ieee":"T. Ellis, “Data and Python scripts supporting Python package FAPS.” Institute of Science and Technology Austria, 2018.","short":"T. Ellis, (2018).","mla":"Ellis, Thomas. Data and Python Scripts Supporting Python Package FAPS. Institute of Science and Technology Austria, 2018, doi:10.15479/AT:ISTA:95."},"date_updated":"2024-02-21T13:45:01Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","type":"research_data","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)"},"status":"public","_id":"5583","doi":"10.15479/AT:ISTA:95","date_published":"2018-02-12T00:00:00Z","related_material":{"record":[{"id":"286","status":"public","relation":"research_paper"}]},"contributor":[{"last_name":"Field","first_name":"David","id":"419049E2-F248-11E8-B48F-1D18A9856A87"},{"id":"4880FE40-F248-11E8-B48F-1D18A9856A87","first_name":"Nicholas H","last_name":"Barton"}],"license":"https://creativecommons.org/publicdomain/zero/1.0/","date_created":"2018-12-12T12:31:39Z","has_accepted_license":"1","year":"2018","datarep_id":"95","day":"12","file":[{"date_created":"2018-12-12T13:02:41Z","file_name":"IST-2018-95-v1+1_amajus_GPS_2012.csv","creator":"system","date_updated":"2020-07-14T12:47:07Z","file_size":122048,"file_id":"5606","checksum":"fc6aab51439f2622ba6df8632e66fd4f","access_level":"open_access","relation":"main_file","content_type":"text/csv"},{"content_type":"text/csv","access_level":"open_access","relation":"main_file","file_id":"5607","checksum":"92347586ae4f8a6eb7c04354797bf314","date_updated":"2020-07-14T12:47:07Z","file_size":235980,"creator":"system","date_created":"2018-12-12T13:02:42Z","file_name":"IST-2018-95-v1+2_offspring_SNPs_2012.csv"},{"checksum":"3300813645a54e6c5c39f41917228354","file_id":"5608","relation":"main_file","access_level":"open_access","content_type":"text/csv","file_name":"IST-2018-95-v1+3_parents_SNPs_2012.csv","date_created":"2018-12-12T13:02:43Z","creator":"system","file_size":311712,"date_updated":"2020-07-14T12:47:07Z"},{"content_type":"application/zip","relation":"main_file","access_level":"open_access","file_id":"5609","checksum":"e739fc473567fd8f39438b445fc46147","file_size":342090,"date_updated":"2020-07-14T12:47:07Z","creator":"system","file_name":"IST-2018-95-v1+4_faps_scripts.zip","date_created":"2018-12-12T13:02:44Z"}],"publisher":"Institute of Science and Technology Austria","oa":1,"month":"02","abstract":[{"text":"Data and scripts are provided in support of the manuscript \"Efficient inference of paternity and sibship inference given known maternity via hierarchical clustering\", and the associated Python package FAPS, available from www.github.com/ellisztamas/faps.\r\n\r\nSimulation scripts cover:\r\n1. Performance under different mating scenarios.\r\n2. Comparison with Colony2.\r\n3. Effect of changing the number of Monte Carlo draws\r\n\r\nThe final script covers the analysis of half-sib arrays from wild-pollinated seed in an Antirrhinum majus hybrid zone.","lang":"eng"}],"oa_version":"Published Version"},{"year":"2018","has_accepted_license":"1","day":"19","file":[{"date_updated":"2020-07-14T12:47:11Z","file_size":369837892,"creator":"cfraisse","date_created":"2018-12-19T14:19:52Z","file_name":"FileS1.zip","content_type":"application/zip","access_level":"open_access","relation":"main_file","file_id":"5758","checksum":"aed7ee9ca3f4dc07d8a66945f68e13cd"},{"file_name":"FileS2.zip","date_created":"2018-12-19T14:19:49Z","file_size":84856909,"date_updated":"2020-07-14T12:47:11Z","creator":"cfraisse","file_id":"5759","checksum":"3592e467b4d8206650860b612d6e12f3","content_type":"application/zip","relation":"main_file","access_level":"open_access"},{"file_id":"5760","checksum":"c37ac5d5437c457338afc128c1240655","access_level":"open_access","relation":"main_file","content_type":"text/plain","date_created":"2018-12-19T14:19:49Z","file_name":"FileS3.txt","creator":"cfraisse","date_updated":"2020-07-14T12:47:11Z","file_size":881133},{"date_created":"2018-12-19T14:19:49Z","file_name":"FileS4.txt","date_updated":"2020-07-14T12:47:11Z","file_size":883742,"creator":"cfraisse","file_id":"5761","checksum":"943dfd14da61817441e33e3e3cb8cdb9","content_type":"text/plain","access_level":"open_access","relation":"main_file"},{"content_type":"text/plain","access_level":"open_access","relation":"main_file","file_id":"5762","checksum":"1c669b6c4690ec1bbca3e2da9f566d17","date_updated":"2020-07-14T12:47:11Z","file_size":2495437,"creator":"cfraisse","date_created":"2018-12-19T14:19:49Z","file_name":"FileS5.txt"},{"checksum":"f40f661b987ca6fb6b47f650cbbb04e6","file_id":"5763","access_level":"open_access","relation":"main_file","content_type":"text/plain","date_created":"2018-12-19T14:19:50Z","file_name":"FileS6.txt","creator":"cfraisse","date_updated":"2020-07-14T12:47:11Z","file_size":15913457},{"file_size":2584120,"date_updated":"2020-07-14T12:47:11Z","creator":"cfraisse","file_name":"FileS7.txt","date_created":"2018-12-19T14:19:50Z","content_type":"text/plain","relation":"main_file","access_level":"open_access","file_id":"5764","checksum":"25f41e5b8a075669c6c88d4c6713bf6f"},{"date_created":"2018-12-19T14:19:50Z","file_name":"FileS8.txt","creator":"cfraisse","date_updated":"2020-07-14T12:47:11Z","file_size":2446059,"checksum":"f6c0bd3e63e14ddf5445bd69b43a9152","file_id":"5765","access_level":"open_access","relation":"main_file","content_type":"text/plain"},{"content_type":"text/plain","relation":"main_file","access_level":"open_access","checksum":"0fe7a58a030b11bf3b9c8ff7a7addcae","file_id":"5766","file_size":100737,"date_updated":"2020-07-14T12:47:11Z","creator":"cfraisse","file_name":"FileS9.txt","date_created":"2018-12-19T14:19:50Z"}],"ec_funded":1,"contributor":[{"id":"32DF5794-F248-11E8-B48F-1D18A9856A87","first_name":"Christelle","last_name":"Fraisse"},{"last_name":"Puixeu Sala","id":"33AB266C-F248-11E8-B48F-1D18A9856A87","first_name":"Gemma"},{"last_name":"Vicoso","orcid":"0000-0002-4579-8306","first_name":"Beatriz","id":"49E1C5C6-F248-11E8-B48F-1D18A9856A87"}],"date_created":"2018-12-19T14:22:35Z","date_published":"2018-12-19T00:00:00Z","related_material":{"record":[{"relation":"research_paper","id":"6089","status":"public"}]},"doi":"10.15479/at:ista:/5757","abstract":[{"text":"File S1. Variant Calling Format file of the ingroup: 197 haploid sequences of D. melanogaster from Zambia (Africa) aligned to the D. melanogaster 5.57 reference genome.\r\n\r\nFile S2. Variant Calling Format file of the outgroup: 1 haploid sequence of D. simulans aligned to the D. melanogaster 5.57 reference genome.\r\n\r\nFile S3. Annotations of each transcript in coding regions with SNPeff: Ps (# of synonymous polymorphic sites); Pn (# of non-synonymous polymorphic sites); Ds (# of synonymous divergent sites); Dn (# of non-synonymous divergent sites); DoS; ⍺ MK . All variants were included.\r\n\r\nFile S4. Annotations of each transcript in non-coding regions with SNPeff: Ps (# of synonymous polymorphic sites); Pu (# of UTR polymorphic sites); Ds (# of synonymous divergent sites); Du (# of UTR divergent sites); DoS; ⍺ MK . All variants were included.\r\n\r\nFile S5. Annotations of each transcript in coding regions with SNPGenie: Ps (# of synonymous polymorphic sites); πs (synonymous diversity); Ss_p (total # of synonymous sites in the polymorphism data); Pn (# of non-synonymous polymorphic sites); πn (non-synonymous diversity); Sn_p (total # of non-synonymous sites in the polymorphism data); Ds (# of synonymous divergent sites); ks (synonymous evolutionary rate); Ss_d (total # of synonymous sites in the divergence data); Dn (# of non-synonymous divergent sites); kn (non-synonymous evolutionary rate); Sn_d (total # of non-\r\nsynonymous sites in the divergence data); DoS; ⍺ MK . All variants were included.\r\n\r\nFile S6. Gene expression values (RPKM summed over all transcripts) for each sample. Values were quantile-normalized across all samples.\r\n\r\nFile S7. Final dataset with all covariates, ⍺ MK , ωA MK and DoS for coding sites, excluding variants below 5% frequency.\r\n\r\nFile S8. Final dataset with all covariates, ⍺ MK , ωA MK and DoS for non-coding sites, excluding variants below 5%\r\nfrequency.\r\n\r\nFile S9. Final dataset with all covariates, ⍺ EWK , ωA EWK and deleterious SFS for coding sites obtained with the Eyre-Walker and Keightley method on binned data and using all variants.","lang":"eng"}],"oa_version":"Published Version","oa":1,"publisher":"Institute of Science and Technology Austria","month":"12","citation":{"ista":"Fraisse C. 2018. Supplementary Files for ‘Pleiotropy modulates the efficacy of selection in Drosophila melanogaster’, Institute of Science and Technology Austria, 10.15479/at:ista:/5757.","chicago":"Fraisse, Christelle. “Supplementary Files for ‘Pleiotropy Modulates the Efficacy of Selection in Drosophila Melanogaster.’” Institute of Science and Technology Austria, 2018. https://doi.org/10.15479/at:ista:/5757.","apa":"Fraisse, C. (2018). Supplementary Files for “Pleiotropy modulates the efficacy of selection in Drosophila melanogaster.” Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:/5757","ama":"Fraisse C. Supplementary Files for “Pleiotropy modulates the efficacy of selection in Drosophila melanogaster.” 2018. doi:10.15479/at:ista:/5757","short":"C. Fraisse, (2018).","ieee":"C. Fraisse, “Supplementary Files for ‘Pleiotropy modulates the efficacy of selection in Drosophila melanogaster.’” Institute of Science and Technology Austria, 2018.","mla":"Fraisse, Christelle. Supplementary Files for “Pleiotropy Modulates the Efficacy of Selection in Drosophila Melanogaster.” Institute of Science and Technology Austria, 2018, doi:10.15479/at:ista:/5757."},"date_updated":"2024-02-21T13:59:18Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","ddc":["576"],"article_processing_charge":"No","author":[{"first_name":"Christelle","id":"32DF5794-F248-11E8-B48F-1D18A9856A87","full_name":"Fraisse, Christelle","orcid":"0000-0001-8441-5075","last_name":"Fraisse"}],"department":[{"_id":"BeVi"},{"_id":"NiBa"}],"file_date_updated":"2020-07-14T12:47:11Z","title":"Supplementary Files for \"Pleiotropy modulates the efficacy of selection in Drosophila melanogaster\"","_id":"5757","type":"research_data","keyword":["(mal)adaptation","pleiotropy","selective constraint","evo-devo","gene expression","Drosophila melanogaster"],"status":"public","project":[{"name":"International IST Postdoc Fellowship Programme","grant_number":"291734","call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425"}]},{"status":"public","type":"conference","conference":{"name":"FOGA: Foundations of Genetic Algorithms","end_date":"2017-01-15","location":"Copenhagen, Denmark","start_date":"2017-01-12"},"_id":"1112","title":"An application of stochastic differential equations to evolutionary algorithms","department":[{"_id":"NiBa"}],"publist_id":"6255","author":[{"orcid":"0000-0003-2361-3953","full_name":"Paixao, Tiago","last_name":"Paixao","first_name":"Tiago","id":"2C5658E6-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Jorge","last_name":"Pérez Heredia","full_name":"Pérez Heredia, Jorge"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ama":"Paixao T, Pérez Heredia J. An application of stochastic differential equations to evolutionary algorithms. In: Proceedings of the 14th ACM/SIGEVO Conference on Foundations of Genetic Algorithms. ACM; 2017:3-11. doi:10.1145/3040718.3040729","apa":"Paixao, T., & Pérez Heredia, J. (2017). An application of stochastic differential equations to evolutionary algorithms. In Proceedings of the 14th ACM/SIGEVO Conference on Foundations of Genetic Algorithms (pp. 3–11). Copenhagen, Denmark: ACM. https://doi.org/10.1145/3040718.3040729","ieee":"T. Paixao and J. Pérez Heredia, “An application of stochastic differential equations to evolutionary algorithms,” in Proceedings of the 14th ACM/SIGEVO Conference on Foundations of Genetic Algorithms, Copenhagen, Denmark, 2017, pp. 3–11.","short":"T. Paixao, J. Pérez Heredia, in:, Proceedings of the 14th ACM/SIGEVO Conference on Foundations of Genetic Algorithms, ACM, 2017, pp. 3–11.","mla":"Paixao, Tiago, and Jorge Pérez Heredia. “An Application of Stochastic Differential Equations to Evolutionary Algorithms.” Proceedings of the 14th ACM/SIGEVO Conference on Foundations of Genetic Algorithms, ACM, 2017, pp. 3–11, doi:10.1145/3040718.3040729.","ista":"Paixao T, Pérez Heredia J. 2017. An application of stochastic differential equations to evolutionary algorithms. Proceedings of the 14th ACM/SIGEVO Conference on Foundations of Genetic Algorithms. FOGA: Foundations of Genetic Algorithms, 3–11.","chicago":"Paixao, Tiago, and Jorge Pérez Heredia. “An Application of Stochastic Differential Equations to Evolutionary Algorithms.” In Proceedings of the 14th ACM/SIGEVO Conference on Foundations of Genetic Algorithms, 3–11. ACM, 2017. https://doi.org/10.1145/3040718.3040729."},"date_updated":"2021-01-12T06:48:22Z","month":"01","publisher":"ACM","scopus_import":1,"quality_controlled":"1","oa_version":"None","abstract":[{"lang":"eng","text":"There has been renewed interest in modelling the behaviour of evolutionary algorithms by more traditional mathematical objects, such as ordinary differential equations or Markov chains. The advantage is that the analysis becomes greatly facilitated due to the existence of well established methods. However, this typically comes at the cost of disregarding information about the process. Here, we introduce the use of stochastic differential equations (SDEs) for the study of EAs. SDEs can produce simple analytical results for the dynamics of stochastic processes, unlike Markov chains which can produce rigorous but unwieldy expressions about the dynamics. On the other hand, unlike ordinary differential equations (ODEs), they do not discard information about the stochasticity of the process. We show that these are especially suitable for the analysis of fixed budget scenarios and present analogs of the additive and multiplicative drift theorems for SDEs. We exemplify the use of these methods for two model algorithms ((1+1) EA and RLS) on two canonical problems(OneMax and LeadingOnes)."}],"doi":"10.1145/3040718.3040729","date_published":"2017-01-12T00:00:00Z","date_created":"2018-12-11T11:50:12Z","page":"3 - 11","day":"12","language":[{"iso":"eng"}],"publication":"Proceedings of the 14th ACM/SIGEVO Conference on Foundations of Genetic Algorithms","publication_identifier":{"isbn":["978-145034651-1"]},"publication_status":"published","year":"2017"},{"project":[{"name":"Speed of Adaptation in Population Genetics and Evolutionary Computation","grant_number":"618091","call_identifier":"FP7","_id":"25B1EC9E-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FP7","_id":"25B07788-B435-11E9-9278-68D0E5697425","grant_number":"250152","name":"Limits to selection in biology and in evolutionary computation"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Kollár R, Novak S. 2017. Existence of traveling waves for the generalized F–KPP equation. Bulletin of Mathematical Biology. 79(3), 525–559.","chicago":"Kollár, Richard, and Sebastian Novak. “Existence of Traveling Waves for the Generalized F–KPP Equation.” Bulletin of Mathematical Biology. Springer, 2017. https://doi.org/10.1007/s11538-016-0244-3.","short":"R. Kollár, S. Novak, Bulletin of Mathematical Biology 79 (2017) 525–559.","ieee":"R. Kollár and S. Novak, “Existence of traveling waves for the generalized F–KPP equation,” Bulletin of Mathematical Biology, vol. 79, no. 3. Springer, pp. 525–559, 2017.","ama":"Kollár R, Novak S. Existence of traveling waves for the generalized F–KPP equation. Bulletin of Mathematical Biology. 2017;79(3):525-559. doi:10.1007/s11538-016-0244-3","apa":"Kollár, R., & Novak, S. (2017). Existence of traveling waves for the generalized F–KPP equation. Bulletin of Mathematical Biology. Springer. https://doi.org/10.1007/s11538-016-0244-3","mla":"Kollár, Richard, and Sebastian Novak. “Existence of Traveling Waves for the Generalized F–KPP Equation.” Bulletin of Mathematical Biology, vol. 79, no. 3, Springer, 2017, pp. 525–59, doi:10.1007/s11538-016-0244-3."},"title":"Existence of traveling waves for the generalized F–KPP equation","publist_id":"6160","author":[{"first_name":"Richard","full_name":"Kollár, Richard","last_name":"Kollár"},{"first_name":"Sebastian","id":"461468AE-F248-11E8-B48F-1D18A9856A87","full_name":"Novak, Sebastian","last_name":"Novak"}],"acknowledgement":"We thank Nick Barton, Katarína Bod’ová, and Sr\r\n-\r\ndan Sarikas for constructive feed-\r\nback and support. Furthermore, we would like to express our deep gratitude to the anonymous referees (one\r\nof whom, Jimmy Garnier, agreed to reveal his identity) and the editor Max Souza, for very helpful and\r\ndetailed comments and suggestions that significantly helped us to improve the manuscript. This project has\r\nreceived funding from the European Union’s Seventh Framework Programme for research, technological\r\ndevelopment and demonstration under Grant Agreement 618091 Speed of Adaptation in Population Genet-\r\nics and Evolutionary Computation (SAGE) and the European Research Council (ERC) Grant No. 250152\r\n(SN), from the Scientific Grant Agency of the Slovak Republic under the Grant 1/0459/13 and by the Slovak\r\nResearch and Development Agency under the Contract No. APVV-14-0378 (RK). RK would also like to\r\nthank IST Austria for its hospitality during the work on this project.","oa":1,"quality_controlled":"1","publisher":"Springer","publication":"Bulletin of Mathematical Biology","day":"01","year":"2017","date_created":"2018-12-11T11:50:38Z","date_published":"2017-03-01T00:00:00Z","doi":"10.1007/s11538-016-0244-3","page":"525-559","_id":"1191","status":"public","type":"journal_article","date_updated":"2021-01-12T06:48:58Z","department":[{"_id":"NiBa"}],"oa_version":"Preprint","abstract":[{"text":"Variation in genotypes may be responsible for differences in dispersal rates, directional biases, and growth rates of individuals. These traits may favor certain genotypes and enhance their spatiotemporal spreading into areas occupied by the less advantageous genotypes. We study how these factors influence the speed of spreading in the case of two competing genotypes under the assumption that spatial variation of the total population is small compared to the spatial variation of the frequencies of the genotypes in the population. In that case, the dynamics of the frequency of one of the genotypes is approximately described by a generalized Fisher–Kolmogorov–Petrovskii–Piskunov (F–KPP) equation. This generalized F–KPP equation with (nonlinear) frequency-dependent diffusion and advection terms admits traveling wave solutions that characterize the invasion of the dominant genotype. Our existence results generalize the classical theory for traveling waves for the F–KPP with constant coefficients. Moreover, in the particular case of the quadratic (monostable) nonlinear growth–decay rate in the generalized F–KPP we study in detail the influence of the variance in diffusion and mean displacement rates of the two genotypes on the minimal wave propagation speed.","lang":"eng"}],"intvolume":" 79","month":"03","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1607.00944"}],"scopus_import":1,"language":[{"iso":"eng"}],"publication_status":"published","ec_funded":1,"volume":79,"issue":"3"}]