{"day":"12","abstract":[{"lang":"eng","text":"In this thesis we study certain mathematical aspects of evolution. The two primary forces that drive an evolutionary process are mutation and selection. Mutation generates new variants in a population. Selection chooses among the variants depending on the reproductive rates of individuals. Evolutionary processes are intrinsically random – a new mutation that is initially present in the population at low frequency can go extinct, even if it confers a reproductive advantage. The overall rate of evolution is largely determined by two quantities: the probability that an invading advantageous mutation spreads through the population (called fixation probability) and the time until it does so (called fixation time). Both those quantities crucially depend not only on the strength of the invading mutation but also on the population structure. In this thesis, we aim to understand how the underlying population structure affects the overall rate of evolution. Specifically, we study population structures that increase the fixation probability of advantageous mutants (called amplifiers of selection). Broadly speaking, our results are of three different types: We present various strong amplifiers, we identify regimes under which only limited amplification is feasible, and we propose population structures that provide different tradeoffs between high fixation probability and short fixation time."}],"status":"public","date_updated":"2023-10-17T12:29:46Z","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"7210"},{"relation":"dissertation_contains","status":"public","id":"5751"},{"id":"7212","status":"public","relation":"dissertation_contains"}]},"supervisor":[{"last_name":"Chatterjee","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","first_name":"Krishnendu","full_name":"Chatterjee, Krishnendu"}],"degree_awarded":"PhD","has_accepted_license":"1","article_processing_charge":"No","date_published":"2020-01-12T00:00:00Z","year":"2020","file":[{"creator":"jtkadlec","checksum":"451f8e64b0eb26bf297644ac72bfcbe9","file_id":"7255","access_level":"closed","relation":"source_file","file_size":21100497,"file_name":"thesis.zip","date_created":"2020-01-12T11:49:49Z","content_type":"application/zip","date_updated":"2020-07-14T12:47:52Z"},{"access_level":"open_access","file_id":"7367","creator":"dernst","checksum":"d8c44cbc4f939c49a8efc9d4b8bb3985","file_name":"2020_Tkadlec_Thesis.pdf","date_created":"2020-01-28T07:32:42Z","file_size":11670983,"date_updated":"2020-07-14T12:47:52Z","content_type":"application/pdf","relation":"main_file"}],"ddc":["519"],"date_created":"2019-12-20T12:26:36Z","alternative_title":["ISTA Thesis"],"department":[{"_id":"KrCh"},{"_id":"GradSch"}],"page":"144","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","author":[{"id":"3F24CCC8-F248-11E8-B48F-1D18A9856A87","last_name":"Tkadlec","first_name":"Josef","orcid":"0000-0002-1097-9684","full_name":"Tkadlec, Josef"}],"file_date_updated":"2020-07-14T12:47:52Z","language":[{"iso":"eng"}],"publication_status":"published","publisher":"Institute of Science and Technology Austria","oa":1,"type":"dissertation","citation":{"mla":"Tkadlec, Josef. <i>A Role of Graphs in Evolutionary Processes</i>. Institute of Science and Technology Austria, 2020, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:7196\">10.15479/AT:ISTA:7196</a>.","ieee":"J. Tkadlec, “A role of graphs in evolutionary processes,” Institute of Science and Technology Austria, 2020.","chicago":"Tkadlec, Josef. “A Role of Graphs in Evolutionary Processes.” Institute of Science and Technology Austria, 2020. <a href=\"https://doi.org/10.15479/AT:ISTA:7196\">https://doi.org/10.15479/AT:ISTA:7196</a>.","ista":"Tkadlec J. 2020. A role of graphs in evolutionary processes. Institute of Science and Technology Austria.","ama":"Tkadlec J. A role of graphs in evolutionary processes. 2020. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:7196\">10.15479/AT:ISTA:7196</a>","apa":"Tkadlec, J. (2020). <i>A role of graphs in evolutionary processes</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:7196\">https://doi.org/10.15479/AT:ISTA:7196</a>","short":"J. Tkadlec, A Role of Graphs in Evolutionary Processes, Institute of Science and Technology Austria, 2020."},"oa_version":"Published Version","month":"01","title":"A role of graphs in evolutionary processes","_id":"7196","publication_identifier":{"eissn":["2663-337X"]},"doi":"10.15479/AT:ISTA:7196"}