{"id":"https://openalex.org/W2975030516","doi":"https://doi.org/10.1371/journal.pcbi.1007361","title":"Time scales and wave formation in non-linear spatial public goods games","display_name":"Time scales and wave formation in non-linear spatial public goods games","publication_year":2019,"publication_date":"2019-09-23","ids":{"openalex":"https://openalex.org/W2975030516","doi":"https://doi.org/10.1371/journal.pcbi.1007361","mag":"2975030516","pmid":"https://pubmed.ncbi.nlm.nih.gov/31545788"},"language":"en","primary_location":{"id":"doi:10.1371/journal.pcbi.1007361","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1007361","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1007361&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1007361&type=printable","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052563130","display_name":"Gregory J. Kimmel","orcid":"https://orcid.org/0000-0001-9766-5399"},"institutions":[{"id":"https://openalex.org/I3019308854","display_name":"Moffitt Cancer Center","ror":"https://ror.org/01xf75524","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I3019308854"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gregory J. Kimmel","raw_affiliation_strings":["Department of Integrated Mathematical Oncology, H. Lee Moffitt Cancer Center and Research Institute, Tampa, Florida, United States of America"],"affiliations":[{"raw_affiliation_string":"Department of Integrated Mathematical Oncology, H. Lee Moffitt Cancer Center and Research Institute, Tampa, Florida, United States of America","institution_ids":["https://openalex.org/I3019308854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060674598","display_name":"Philip Gerlee","orcid":null},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]},{"id":"https://openalex.org/I881427289","display_name":"University of Gothenburg","ror":"https://ror.org/01tm6cn81","country_code":"SE","type":"education","lineage":["https://openalex.org/I881427289"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Philip Gerlee","raw_affiliation_strings":["Department of Mathematical Sciences, Chalmers University of Technology, Gothenburg, Sweden","Department of Mathematical Sciences, University of Gothenburg, Gothenburg, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Chalmers University of Technology, Gothenburg, Sweden","institution_ids":["https://openalex.org/I66862912"]},{"raw_affiliation_string":"Department of Mathematical Sciences, University of Gothenburg, Gothenburg, Sweden","institution_ids":["https://openalex.org/I881427289"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068929470","display_name":"Philipp M. Altrock","orcid":"https://orcid.org/0000-0001-7731-3345"},"institutions":[{"id":"https://openalex.org/I2613432","display_name":"University of South Florida","ror":"https://ror.org/032db5x82","country_code":"US","type":"education","lineage":["https://openalex.org/I2613432"]},{"id":"https://openalex.org/I3019308854","display_name":"Moffitt Cancer Center","ror":"https://ror.org/01xf75524","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I3019308854"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Philipp M. Altrock","raw_affiliation_strings":["Department of Integrated Mathematical Oncology, H. Lee Moffitt Cancer Center and Research Institute, Tampa, Florida, United States of America","University of South Florida, Morsani College of Medicine, Tampa, Florida, United States of America"],"affiliations":[{"raw_affiliation_string":"Department of Integrated Mathematical Oncology, H. Lee Moffitt Cancer Center and Research Institute, Tampa, Florida, United States of America","institution_ids":["https://openalex.org/I3019308854"]},{"raw_affiliation_string":"University of South Florida, Morsani College of Medicine, Tampa, Florida, United States of America","institution_ids":["https://openalex.org/I2613432"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5068929470"],"corresponding_institution_ids":["https://openalex.org/I2613432","https://openalex.org/I3019308854"],"apc_list":{"value":2655,"currency":"USD","value_usd":2655},"apc_paid":{"value":2655,"currency":"USD","value_usd":2655},"fwci":5.856,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.95934751,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"15","issue":"9","first_page":"e1007361","last_page":"e1007361"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.593300461769104},{"id":"https://openalex.org/keywords/extinction","display_name":"Extinction (optical mineralogy)","score":0.576827883720398},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5517048835754395},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.528572142124176},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4781250059604645},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.44835221767425537},{"id":"https://openalex.org/keywords/slow-manifold","display_name":"Slow manifold","score":0.43719711899757385},{"id":"https://openalex.org/keywords/public-good","display_name":"Public good","score":0.4345451891422272},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.4220818877220154},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.34936103224754333},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34470340609550476},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.2941229045391083},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28758707642555237},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.27545925974845886},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.26642829179763794},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.21867233514785767},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16698145866394043},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.12110596895217896},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.10240212082862854}],"concepts":[{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.593300461769104},{"id":"https://openalex.org/C101991246","wikidata":"https://www.wikidata.org/wiki/Q5422078","display_name":"Extinction (optical mineralogy)","level":2,"score":0.576827883720398},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5517048835754395},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.528572142124176},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4781250059604645},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.44835221767425537},{"id":"https://openalex.org/C2778671503","wikidata":"https://www.wikidata.org/wiki/Q7542110","display_name":"Slow manifold","level":3,"score":0.43719711899757385},{"id":"https://openalex.org/C162222271","wikidata":"https://www.wikidata.org/wiki/Q92779871","display_name":"Public good","level":2,"score":0.4345451891422272},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.4220818877220154},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.34936103224754333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34470340609550476},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.2941229045391083},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28758707642555237},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.27545925974845886},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.26642829179763794},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.21867233514785767},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16698145866394043},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.12110596895217896},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.10240212082862854},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D001419","descriptor_name":"Bacteria","qualifier_ui":"Q000166","qualifier_name":"cytology","is_major_topic":false},{"descriptor_ui":"D001419","descriptor_name":"Bacteria","qualifier_ui":"Q000166","qualifier_name":"cytology","is_major_topic":false},{"descriptor_ui":"D001419","descriptor_name":"Bacteria","qualifier_ui":"Q000166","qualifier_name":"cytology","is_major_topic":false},{"descriptor_ui":"D005716","descriptor_name":"Game Theory","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D005716","descriptor_name":"Game Theory","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D005716","descriptor_name":"Game Theory","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009369","descriptor_name":"Neoplasms","qualifier_ui":"Q000503","qualifier_name":"physiopathology","is_major_topic":false},{"descriptor_ui":"D009369","descriptor_name":"Neoplasms","qualifier_ui":"Q000503","qualifier_name":"physiopathology","is_major_topic":false},{"descriptor_ui":"D009369","descriptor_name":"Neoplasms","qualifier_ui":"Q000503","qualifier_name":"physiopathology","is_major_topic":false},{"descriptor_ui":"D011157","descriptor_name":"Population Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D011157","descriptor_name":"Population Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D011157","descriptor_name":"Population Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D013037","descriptor_name":"Spatial Behavior","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013037","descriptor_name":"Spatial Behavior","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013037","descriptor_name":"Spatial Behavior","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false}],"locations_count":7,"locations":[{"id":"doi:10.1371/journal.pcbi.1007361","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1007361","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1007361&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},{"id":"pmid:31545788","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/31545788","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLoS computational biology","raw_type":null},{"id":"pmh:oai:RePEc:plo:pcbi00:1007361","is_oa":false,"landing_page_url":"https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1007361","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:2785249ac32e4162b0053426dc4a55a9","is_oa":true,"landing_page_url":"https://doaj.org/article/2785249ac32e4162b0053426dc4a55a9","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS Computational Biology, Vol 15, Iss 9, p e1007361 (2019)","raw_type":"article"},{"id":"pmh:oai:figshare.com:article/9893561","is_oa":true,"landing_page_url":"https://figshare.com/articles/Time_scales_and_wave_formation_in_non-linear_spatial_public_goods_games/9893561","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:6776369","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/6776369","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS Comput Biol","raw_type":"Text"},{"id":"pmh:oai:research.chalmers.se:512846","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/512846","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"doi:10.1371/journal.pcbi.1007361","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1007361","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1007361&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2338862185","display_name":null,"funder_award_id":"AM13-0046","funder_id":"https://openalex.org/F4320320940","funder_display_name":"Stiftelsen f\u00f6r\u00a0Strategisk Forskning"},{"id":"https://openalex.org/G5857073853","display_name":null,"funder_award_id":"AM13-0046","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"},{"id":"https://openalex.org/G6608681951","display_name":null,"funder_award_id":"2014-06095","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"},{"id":"https://openalex.org/G6958076582","display_name":null,"funder_award_id":"AM13-004","funder_id":"https://openalex.org/F4320320940","funder_display_name":"Stiftelsen f\u00f6r\u00a0Strategisk Forskning"}],"funders":[{"id":"https://openalex.org/F4320320940","display_name":"Stiftelsen f\u00f6r\u00a0Strategisk Forskning","ror":"https://ror.org/044wr7g58"},{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2975030516.pdf","grobid_xml":"https://content.openalex.org/works/W2975030516.grobid-xml"},"referenced_works_count":53,"referenced_works":["https://openalex.org/W32529658","https://openalex.org/W1572656384","https://openalex.org/W1580723584","https://openalex.org/W1786281163","https://openalex.org/W1964319286","https://openalex.org/W1966039196","https://openalex.org/W1975987569","https://openalex.org/W2002903734","https://openalex.org/W2016469924","https://openalex.org/W2020299413","https://openalex.org/W2025490132","https://openalex.org/W2028798910","https://openalex.org/W2029030701","https://openalex.org/W2038440288","https://openalex.org/W2041848377","https://openalex.org/W2048195900","https://openalex.org/W2049242968","https://openalex.org/W2053822724","https://openalex.org/W2072351024","https://openalex.org/W2079949023","https://openalex.org/W2084206665","https://openalex.org/W2098560585","https://openalex.org/W2111847824","https://openalex.org/W2118498406","https://openalex.org/W2122612155","https://openalex.org/W2154281017","https://openalex.org/W2158016433","https://openalex.org/W2160084302","https://openalex.org/W2167657634","https://openalex.org/W2168392288","https://openalex.org/W2226396244","https://openalex.org/W2274670117","https://openalex.org/W2277895489","https://openalex.org/W2320716657","https://openalex.org/W2406345912","https://openalex.org/W2548119742","https://openalex.org/W2580075610","https://openalex.org/W2581071829","https://openalex.org/W2590927903","https://openalex.org/W2611476281","https://openalex.org/W2753514269","https://openalex.org/W2770572337","https://openalex.org/W2892348326","https://openalex.org/W2895352417","https://openalex.org/W2910267772","https://openalex.org/W2911509322","https://openalex.org/W2942759698","https://openalex.org/W2956132396","https://openalex.org/W2963682340","https://openalex.org/W3022487947","https://openalex.org/W4251104453","https://openalex.org/W4291718509","https://openalex.org/W6640910782"],"related_works":["https://openalex.org/W4296209631","https://openalex.org/W3215211717","https://openalex.org/W2561617217","https://openalex.org/W2516984028","https://openalex.org/W3097449145","https://openalex.org/W4294811468","https://openalex.org/W2355801475","https://openalex.org/W106004901","https://openalex.org/W2394239232","https://openalex.org/W2170062176"],"abstract_inverted_index":{"The":[0,75],"co-evolutionary":[1],"dynamics":[2,93,250],"of":[3,52,77,94,120,139,159,209,251,256],"competing":[4],"populations":[5,19,225],"can":[6,80,238],"be":[7,81,239],"strongly":[8],"affected":[9],"by":[10,61,104,117],"frequency-dependent":[11],"selection":[12],"and":[13,29,46,96,101,110,123,127,146,161],"spatial":[14,23,27,91,154,186,249],"population":[15,133],"structure.":[16],"As":[17],"co-evolving":[18],"grow":[20],"into":[21],"a":[22,53,65,197,216,233],"domain,":[24],"their":[25,30],"initial":[26,144,164,185],"arrangement":[28],"growth":[31,71,92,148],"rate":[32,149],"differences":[33],"are":[34,227],"important":[35],"factors":[36],"that":[37,58,153,162,183,226],"determine":[38],"the":[39,50,62,78,90,118,137,147,206,247],"long-term":[40],"outcome.":[41],"We":[42,88,151],"here":[43],"model":[44],"producer":[45,106],"free-rider":[47,108],"co-evolution":[48],"in":[49,98,114,194],"context":[51],"diffusive":[54],"public":[55,85,111,128],"good":[56,86,112,129],"(PG)":[57],"is":[59,156],"produced":[60],"producers":[63,95,213],"at":[64],"cost":[66],"but":[67,136],"evokes":[68],"local":[69],"concentration-dependent":[70],"benefits":[72],"to":[73,167,170,173,196,204],"all.":[74],"benefit":[76],"PG":[79],"non-linearly":[82],"dependent":[83],"on":[84],"concentration.":[87],"consider":[89],"free-riders":[97,211],"one,":[99],"two":[100],"three":[102],"dimensions":[103],"modeling":[105],"cell,":[107],"cell":[109],"densities":[113],"space,":[115],"driven":[116],"processes":[119],"birth,":[121],"death":[122],"diffusion":[124],"(cell":[125],"movement":[126],"distribution).":[130],"Typically,":[131],"one":[132],"goes":[134],"extinct,":[135],"time-scale":[138],"this":[140,191],"process":[141],"varies":[142],"with":[143],"conditions":[145,165],"functions.":[150],"establish":[152],"variation":[155],"transient":[157,248],"regardless":[158],"dimensionality,":[160],"structured":[163],"lead":[166],"increasing":[168],"times":[169],"get":[171],"close":[172],"an":[174],"extinction":[175],"state,":[176],"called":[177],"\u03b5-extinction":[178,192,207],"time.":[179],"Further,":[180],"we":[181,214,231],"find":[182],"uncorrelated":[184],"structures":[187],"do":[188],"not":[189],"influence":[190],"time":[193,208],"comparison":[195],"corresponding":[198],"well-mixed":[199],"(non-spatial)":[200],"system.":[201],"In":[202],"order":[203],"estimate":[205],"either":[210],"or":[212],"derive":[215],"slow":[217],"manifold":[218],"solution.":[219],"For":[220],"invading":[221],"populations,":[222],"i.e.":[223],"for":[224,246],"initially":[228],"highly":[229],"segregated,":[230],"observe":[232],"traveling":[234],"wave,":[235],"whose":[236],"speed":[237],"calculated.":[240],"Our":[241],"results":[242],"provide":[243],"quantitative":[244],"predictions":[245],"cooperative":[252],"traits":[253],"under":[254],"pressure":[255],"extinction.":[257]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-12T07:58:50.170612","created_date":"2025-10-10T00:00:00"}