{"id":"https://openalex.org/W4414770503","doi":"https://doi.org/10.1007/s00285-026-02363-9","title":"Spatial modeling of forest-savanna bistability: impacts of fire dynamics and timescale separation","display_name":"Spatial modeling of forest-savanna bistability: impacts of fire dynamics and timescale separation","publication_year":2026,"publication_date":"2026-03-01","ids":{"openalex":"https://openalex.org/W4414770503","doi":"https://doi.org/10.1007/s00285-026-02363-9","pmid":"https://pubmed.ncbi.nlm.nih.gov/41787096","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/12963176"},"language":"en","primary_location":{"id":"doi:10.1007/s00285-026-02363-9","doi":"https://doi.org/10.1007/s00285-026-02363-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00285-026-02363-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00285-026-02363-9.pdf","source":{"id":"https://openalex.org/S171842551","display_name":"Journal of Mathematical Biology","issn_l":"0303-6812","issn":["0303-6812","1432-1416"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","doyens","jufo-3","ki-jl-1","medline","norway-2","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Biology","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00285-026-02363-9.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Kimberly Shen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]},{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kimberly Shen","raw_affiliation_strings":["Department of Physics, Princeton University, Princeton, NJ, 08544, USA","Peabody Institute, Johns Hopkins University, Baltimore, MD, 21218, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Princeton University, Princeton, NJ, 08544, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Peabody Institute, Johns Hopkins University, Baltimore, MD, 21218, USA","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077712228","display_name":"Simon A. Levin","orcid":"https://orcid.org/0000-0002-8216-5639","observed_orcids":["https://orcid.org/0000-0002-8216-5639"]},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]},{"id":"https://openalex.org/I4405268937","display_name":"High Meadows Environmental Institute","ror":"https://ror.org/02hgay921","country_code":"US","type":"facility","lineage":["https://openalex.org/I4405268937"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Simon Levin","raw_affiliation_strings":["Department of Ecology and Evolutionary Biology, Princeton University, Princeton, NJ, 08544, USA","High Meadows Environmental Institute, Princeton University, Princeton, NJ, 08544, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Ecology and Evolutionary Biology, Princeton University, Princeton, NJ, 08544, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"High Meadows Environmental Institute, Princeton University, Princeton, NJ, 08544, USA","institution_ids":["https://openalex.org/I20089843","https://openalex.org/I4405268937"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038523871","display_name":"Denis Patterson","orcid":"https://orcid.org/0000-0002-4509-7294","observed_orcids":["https://orcid.org/0000-0002-4509-7294"]},"institutions":[{"id":"https://openalex.org/I190082696","display_name":"Durham University","ror":"https://ror.org/01v29qb04","country_code":"GB","type":"education","lineage":["https://openalex.org/I190082696"]},{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]},{"id":"https://openalex.org/I4405268937","display_name":"High Meadows Environmental Institute","ror":"https://ror.org/02hgay921","country_code":"US","type":"facility","lineage":["https://openalex.org/I4405268937"]}],"countries":["GB","US"],"is_corresponding":true,"raw_author_name":"Denis Patterson","raw_affiliation_strings":["Department of Ecology and Evolutionary Biology, Princeton University, Princeton, NJ, 08544, USA. denis.d.patterson@durham.ac.uk","Department of Mathematical Sciences, Durham University, Stockton Road, Durham DH1 3LE, UK. denis.d.patterson@durham.ac.uk","High Meadows Environmental Institute, Princeton University, Princeton, NJ, 08544, USA. denis.d.patterson@durham.ac.uk"],"raw_orcid":"https://orcid.org/0000-0002-4509-7294","affiliations":[{"raw_affiliation_string":"Department of Ecology and Evolutionary Biology, Princeton University, Princeton, NJ, 08544, USA. denis.d.patterson@durham.ac.uk","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Department of Mathematical Sciences, Durham University, Stockton Road, Durham DH1 3LE, UK. denis.d.patterson@durham.ac.uk","institution_ids":["https://openalex.org/I190082696"]},{"raw_affiliation_string":"High Meadows Environmental Institute, Princeton University, Princeton, NJ, 08544, USA. denis.d.patterson@durham.ac.uk","institution_ids":["https://openalex.org/I20089843","https://openalex.org/I4405268937"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5038523871"],"corresponding_institution_ids":["https://openalex.org/I190082696","https://openalex.org/I20089843","https://openalex.org/I4405268937"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":{"value":3090,"currency":"USD","value_usd":3090},"fwci":4.7973,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.91743724,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"92","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13377","display_name":"Ecosystem dynamics and resilience","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13377","display_name":"Ecosystem dynamics and resilience","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10555","display_name":"Fire effects on ecosystems","score":0.000699999975040555,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.00019999999494757503,"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/alternative-stable-states","display_name":"alternative stable states","score":0.8410000205039978},{"id":"https://openalex.org/keywords/savanna-fires","display_name":"savanna burning","score":0.8059999942779541},{"id":"https://openalex.org/keywords/fire-dynamics","display_name":"fire dynamics","score":0.7760000228881836},{"id":"https://openalex.org/keywords/continuous-time-markov-chains","display_name":"continuous-time Markov chains","score":0.7319999933242798},{"id":"https://openalex.org/keywords/spatial-stochastic-models","display_name":"spatial stochastic models","score":0.753000020980835},{"id":"https://openalex.org/keywords/seed-dispersal","display_name":"seed dispersal","score":0.847000002861023},{"id":"https://openalex.org/keywords/vegetation-flammability","display_name":"vegetation flammability","score":0.9279999732971191},{"id":"https://openalex.org/keywords/vegetation-recovery","display_name":"vegetation recovery","score":0.8980000019073486},{"id":"https://openalex.org/keywords/timescale-separation","display_name":"time-scale separation","score":0.949999988079071},{"id":"https://openalex.org/keywords/mean-field-approximation","display_name":"mean-field approximation","score":0.9430000185966492},{"id":"https://openalex.org/keywords/ecological-resilience","display_name":"ecosystem resilience","score":0.6010000109672546},{"id":"https://openalex.org/keywords/climate-change-impacts","display_name":"climate change impacts","score":0.4690000116825104}],"concepts":[{"id":"https://openalex.org/C2776133958","wikidata":"https://www.wikidata.org/wiki/Q7918366","display_name":"Vegetation (pathology)","level":2,"score":0.7257000207901001},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5982999801635742},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.567300021648407},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4593999981880188},{"id":"https://openalex.org/C97292510","wikidata":"https://www.wikidata.org/wiki/Q2304620","display_name":"Bistability","level":2,"score":0.4178999960422516},{"id":"https://openalex.org/C110872660","wikidata":"https://www.wikidata.org/wiki/Q37813","display_name":"Ecosystem","level":2,"score":0.4138000011444092},{"id":"https://openalex.org/C89736061","wikidata":"https://www.wikidata.org/wiki/Q5451644","display_name":"Fire regime","level":3,"score":0.40959998965263367},{"id":"https://openalex.org/C12064787","wikidata":"https://www.wikidata.org/wiki/Q4736552","display_name":"Alternative stable state","level":3,"score":0.40149998664855957},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.3847000002861023},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.36890000104904175},{"id":"https://openalex.org/C2777601987","wikidata":"https://www.wikidata.org/wiki/Q5283581","display_name":"Disturbance (geology)","level":2,"score":0.3589000105857849},{"id":"https://openalex.org/C2776107028","wikidata":"https://www.wikidata.org/wiki/Q3008355","display_name":"Forest dynamics","level":2,"score":0.34450000524520874},{"id":"https://openalex.org/C64107356","wikidata":"https://www.wikidata.org/wiki/Q295046","display_name":"Ecosystem model","level":3,"score":0.3440000116825104},{"id":"https://openalex.org/C73935091","wikidata":"https://www.wikidata.org/wiki/Q2249329","display_name":"Forest ecology","level":3,"score":0.3301999866962433},{"id":"https://openalex.org/C108215451","wikidata":"https://www.wikidata.org/wiki/Q7263963","display_name":"Simulation modeling","level":2,"score":0.32580000162124634},{"id":"https://openalex.org/C96291035","wikidata":"https://www.wikidata.org/wiki/Q7144330","display_name":"Patch dynamics","level":3,"score":0.3215999901294708},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.31949999928474426},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.3163999915122986},{"id":"https://openalex.org/C91586092","wikidata":"https://www.wikidata.org/wiki/Q757520","display_name":"Atmospheric sciences","level":1,"score":0.31520000100135803},{"id":"https://openalex.org/C50660011","wikidata":"https://www.wikidata.org/wiki/Q42530","display_name":"Tropics","level":2,"score":0.30730000138282776},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.30489999055862427},{"id":"https://openalex.org/C158709400","wikidata":"https://www.wikidata.org/wiki/Q3578586","display_name":"Spatial ecology","level":2,"score":0.30329999327659607},{"id":"https://openalex.org/C195330766","wikidata":"https://www.wikidata.org/wiki/Q1409472","display_name":"Fire ecology","level":3,"score":0.2867000102996826},{"id":"https://openalex.org/C132651083","wikidata":"https://www.wikidata.org/wiki/Q7942","display_name":"Climate change","level":2,"score":0.2854999899864197},{"id":"https://openalex.org/C49204034","wikidata":"https://www.wikidata.org/wiki/Q52139","display_name":"Climatology","level":1,"score":0.27559998631477356},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.27549999952316284},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.27250000834465027},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.26919999718666077},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.2689000070095062},{"id":"https://openalex.org/C118365302","wikidata":"https://www.wikidata.org/wiki/Q4817115","display_name":"Atmospheric model","level":2,"score":0.26600000262260437},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.26030001044273376}],"mesh":[{"descriptor_ui":"D000075923","descriptor_name":"Wildfires","qualifier_ui":"Q000706","qualifier_name":"statistics & numerical data","is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005390","descriptor_name":"Fires","qualifier_ui":"Q000706","qualifier_name":"statistics & numerical data","is_major_topic":true},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D014197","descriptor_name":"Trees","qualifier_ui":"Q000254","qualifier_name":"growth & development","is_major_topic":false},{"descriptor_ui":"D017753","descriptor_name":"Ecosystem","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D055641","descriptor_name":"Mathematical Concepts","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D057231","descriptor_name":"Climate Change","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D058614","descriptor_name":"Seed Dispersal","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D065928","descriptor_name":"Forests","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D065948","descriptor_name":"Grassland","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":7,"locations":[{"id":"doi:10.1007/s00285-026-02363-9","doi":"https://doi.org/10.1007/s00285-026-02363-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00285-026-02363-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00285-026-02363-9.pdf","source":{"id":"https://openalex.org/S171842551","display_name":"Journal of Mathematical Biology","issn_l":"0303-6812","issn":["0303-6812","1432-1416"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","doyens","jufo-3","ki-jl-1","medline","norway-2","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Biology","raw_type":"journal-article"},{"id":"pmh:oai:pubmedcentral.nih.gov:12963176","doi":null,"is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12963176/","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12963176/pdf/285_2026_Article_2363.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"J Math Biol","raw_type":"Text"},{"id":"pmid:41787096","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41787096","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,"listed_in":[],"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":"Journal of mathematical biology","raw_type":"Journal Article"},{"id":"pmh:oai:https://durham-repository.worktribe.com/:5156886","doi":null,"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00285-026-02363-9","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:2505.01149","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2505.01149","pdf_url":"https://arxiv.org/pdf/2505.01149","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:durham-repository.worktribe.com:5156886","doi":null,"is_oa":true,"landing_page_url":"https://durham-repository.worktribe.com/5156886/1/Published%20Journal%20Article","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"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":null,"raw_type":"Journal Article"},{"id":"doi:10.48550/arxiv.2505.01149","doi":"https://doi.org/10.48550/arxiv.2505.01149","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2505.01149","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1007/s00285-026-02363-9","doi":"https://doi.org/10.1007/s00285-026-02363-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00285-026-02363-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00285-026-02363-9.pdf","source":{"id":"https://openalex.org/S171842551","display_name":"Journal of Mathematical Biology","issn_l":"0303-6812","issn":["0303-6812","1432-1416"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","doyens","jufo-3","ki-jl-1","medline","norway-2","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Biology","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Life on land","id":"https://metadata.un.org/sdg/15","score":1.0}],"study_designs":[],"awards":[{"id":"https://openalex.org/G3342962000","display_name":"Collaborative Research: Consequences of Environmental Stochasticity for the Spatial Dynamics of Savanna-Forest Transitions","funder_award_id":"1951358","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4414770503.pdf","grobid_xml":"https://content.openalex.org/works/W4414770503.grobid-xml"},"referenced_works_count":62,"referenced_works":["https://openalex.org/W1549251788","https://openalex.org/W1886516993","https://openalex.org/W1978680490","https://openalex.org/W1987695512","https://openalex.org/W1996951753","https://openalex.org/W2001555670","https://openalex.org/W2003628106","https://openalex.org/W2008954361","https://openalex.org/W2034878206","https://openalex.org/W2048311783","https://openalex.org/W2056142850","https://openalex.org/W2073188075","https://openalex.org/W2074756355","https://openalex.org/W2079371292","https://openalex.org/W2095438373","https://openalex.org/W2102348315","https://openalex.org/W2106565849","https://openalex.org/W2107814890","https://openalex.org/W2108721001","https://openalex.org/W2110660663","https://openalex.org/W2121575464","https://openalex.org/W2130172508","https://openalex.org/W2153082827","https://openalex.org/W2153322439","https://openalex.org/W2154244460","https://openalex.org/W2155418451","https://openalex.org/W2157206590","https://openalex.org/W2159641034","https://openalex.org/W2159667512","https://openalex.org/W2162348455","https://openalex.org/W2162805816","https://openalex.org/W2164472204","https://openalex.org/W2171187785","https://openalex.org/W2209234315","https://openalex.org/W2313857828","https://openalex.org/W2326747459","https://openalex.org/W2419889963","https://openalex.org/W2549795979","https://openalex.org/W2618071004","https://openalex.org/W2785836525","https://openalex.org/W2786724563","https://openalex.org/W2790961432","https://openalex.org/W2793970547","https://openalex.org/W2800175172","https://openalex.org/W2885505602","https://openalex.org/W2888423439","https://openalex.org/W2892348326","https://openalex.org/W2905644414","https://openalex.org/W2922248185","https://openalex.org/W2942806661","https://openalex.org/W3002829916","https://openalex.org/W3081975382","https://openalex.org/W3084718445","https://openalex.org/W3136898235","https://openalex.org/W4205232368","https://openalex.org/W4210418141","https://openalex.org/W4213240558","https://openalex.org/W4320484432","https://openalex.org/W4362664275","https://openalex.org/W4388017510","https://openalex.org/W4389050394","https://openalex.org/W7164941602"],"related_works":["https://openalex.org/W2003628106","https://openalex.org/W2942806661","https://openalex.org/W2591928567","https://openalex.org/W4388017510","https://openalex.org/W2629895297","https://openalex.org/W2320173733","https://openalex.org/W1839561460","https://openalex.org/W2261162066","https://openalex.org/W2312445077","https://openalex.org/W2089259329"],"abstract_inverted_index":{"Forest-savanna":[0],"bistability":[1,123],"-":[2,17],"the":[3,15,30,94,108,150,159,174],"hypothesis":[4],"that":[5,55,128],"forests":[6],"and":[7,18,27,65,83,100,112,140,182,189],"savannas":[8],"exist":[9],"as":[10],"alternative":[11],"stable":[12],"states":[13],"in":[14,29,86,164,185],"tropics":[16],"its":[19,167],"implications":[20],"are":[21],"key":[22,57],"challenges":[23],"for":[24],"mathematical":[25],"modelers":[26],"ecologists":[28],"context":[31],"of":[32,51,74,110,149,166,177],"ongoing":[33],"climate":[34],"change.":[35],"To":[36],"generate":[37],"new":[38],"insights":[39],"into":[40],"this":[41],"problem,":[42],"we":[43,77],"present":[44],"a":[45,87],"spatial":[46,120,161],"Markov":[47],"jump":[48],"process":[49],"model":[50,79,151],"savanna":[52],"forest":[53,131,135],"fires":[54,127],"integrates":[56],"ecological":[58],"processes,":[59],"including":[60],"seed":[61],"dispersal,":[62],"fire":[63,81,103,138,181],"spread,":[64],"non-linear":[66],"vegetation":[67,84,98,116,183],"flammability.":[68],"In":[69,118],"contrast":[70],"to":[71],"many":[72],"models":[73,99],"forest-savanna":[75],"bistability,":[76,154],"explicitly":[78],"both":[80],"dynamics":[82],"regrowth":[85],"mathematically":[88],"tractable":[89],"framework.":[90],"This":[91],"approach":[92],"bridges":[93],"gap":[95],"between":[96,180],"slow-timescale":[97],"highly":[101],"resolved":[102],"dynamics,":[104],"shedding":[105],"light":[106],"on":[107,115],"influence":[109],"short-term":[111],"transient":[113,168],"processes":[114,184],"cover.":[117],"our":[119],"stochastic":[121],"model,":[122,162],"arises":[124],"from":[125,158],"periodic":[126],"maintain":[129],"low":[130],"cover,":[132],"whereas":[133],"dense":[134],"areas":[136],"inhibit":[137],"spread":[139],"preserve":[141],"high":[142],"tree":[143],"density.":[144],"The":[145],"deterministic":[146],"mean-field":[147],"approximation":[148],"similarly":[152],"predicts":[153],"but":[155],"deviates":[156],"quantitatively":[157],"fully":[160],"especially":[163],"terms":[165],"dynamics.":[169],"These":[170],"results":[171],"also":[172],"underscore":[173],"critical":[175],"role":[176],"timescale":[178],"separation":[179],"shaping":[186],"ecosystem":[187],"structure":[188],"resilience.":[190]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2025-10-10T00:00:00"}