A general theory of coexistence and extinction for stochastic ecological communities

citation_journal_title=Theor Popul Biol; citation_title=Variability in resource consumption rates and the coexistence of competing species; citation_author=P Abrams; citation_volume=25; citation_publication_date=1984; citation_pages=106-124; citation_id=CR1 citation_journal_title=Theor Popul Biol; citation_title=The impact of consumer-resource cycles on the coexistence of competing consumers; citation_author=P Abrams, R Holt; citation_volume=62; citation_publication_date=2002; citation_pages=281-295; citation_id=CR2 citation_title=The distribution and abundance of animals; citation_publication_date=1954; citation_id=CR3; citation_author=H Andrewartha; citation_author=L Birch; citation_publisher=University of Chicago Press citation_journal_title=Am Nat; citation_title=Competitive exclusion; citation_author=RA Armstrong, R McGehee; citation_volume=115; citation_issue=2; citation_publication_date=1980; citation_pages=151-170; citation_id=CR4 citation_title=Stochastic population models in ecology and epidemiology; citation_publication_date=1960; citation_id=CR5; citation_author=MS Bartlett; citation_publisher=Methuen Benaim M (2018) Stochastic persistence. arXiv preprint arXiv:1806.08450 citation_journal_title=J Biol Dyn; citation_title=Robust permanence and impermanence for stochastic replicator dynamics; citation_author=M Benaïm, J Hofbauer, WH Sandholm; citation_volume=2; citation_issue=2; citation_publication_date=2008; citation_pages=180-195; citation_id=CR7 citation_journal_title=J Math Biol; citation_title=Persistence and extinction for stochastic ecological models with internal and external variables; citation_author=M Benaïm, SJ Schreiber; citation_volume=79; citation_publication_date=2019; citation_pages=393-431; citation_id=CR8 citation_journal_title=J Math Biol; citation_title=Evolutionary stability of ideal free dispersal strategies in patchy environments; citation_author=RS Cantrell, C Cosner, Y Lou; citation_volume=65; citation_issue=5; citation_publication_date=2012; citation_pages=943-965; citation_id=CR9 citation_journal_title=Annu Rev Ecol Syst; citation_title=Predator–prey theory and variability; citation_author=P Chesson; citation_volume=9; citation_issue=1; citation_publication_date=1978; citation_pages=323-347; citation_id=CR10 citation_journal_title=Theor Popul Biol; citation_title=Multispecies competition in variable environments; citation_author=P Chesson; citation_volume=45; citation_issue=3; citation_publication_date=1994; citation_pages=227-276; citation_id=CR11 citation_journal_title=Theor Popul Biol; citation_title=General theory of competitive coexistence in spatially-varying environments; citation_author=P Chesson; citation_volume=58; citation_issue=3; citation_publication_date=2000; citation_pages=211-237; citation_id=CR12 citation_journal_title=Annu Rev Ecol Syst; citation_title=Mechanisms of maintenance of species diversity; citation_author=P Chesson; citation_volume=31; citation_publication_date=2000; citation_pages=343-66; citation_id=CR13 citation_journal_title=Theor Popul Biol; citation_title=Quantifying and testing coexistence mechanisms arising from recruitment fluctuations; citation_author=P Chesson; citation_volume=64; citation_issue=3; citation_publication_date=2003; citation_pages=345-357; citation_id=CR14 citation_title=Quantifying and testing species coexistence mechanisms; citation_publication_date=2008; citation_id=CR15; citation_author=P Chesson; citation_publisher=Fundacion BBVA citation_journal_title=J Ecol; citation_title=Updates on mechanisms of maintenance of species diversity; citation_author=P Chesson; citation_volume=106; citation_issue=5; citation_publication_date=2018; citation_pages=1773-1794; citation_id=CR16 citation_journal_title=Ecology; citation_title=Chesson’s coexistence theory: comment; citation_author=P Chesson; citation_publication_date=2019; citation_doi=10.1002/ecy.2851; citation_id=CR17 citation_title=Species coexistence, book section 2; citation_publication_date=2020; citation_id=CR18; citation_author=P Chesson; citation_publisher=Oxford University Press citation_journal_title=Am Nat; citation_title=The roles of harsh and fluctuating conditions in the dynamics of ecological communities; citation_author=P Chesson, N Huntly; citation_volume=150; citation_issue=5; citation_publication_date=1997; citation_pages=519-553; citation_id=CR19 citation_title=The storage effect: definition and tests in two plant communities, book section 2; citation_publication_date=2013; citation_id=CR20; citation_author=P Chesson; citation_author=NJ Huntly; citation_author=SH Roxburgh; citation_author=M Pantastico-Caldas; citation_author=JM Facelli; citation_publisher=Cambridge University Press citation_journal_title=Theor Popul Biol; citation_title=The storage effect due to frequency-dependent predation in multispecies plant communities; citation_author=P Chesson, JJ Kuang; citation_volume=78; citation_issue=2; citation_publication_date=2010; citation_pages=148-164; citation_id=CR21 citation_journal_title=J Math Biol; citation_title=The stabilizing effect of a random environment; citation_author=PL Chesson; citation_volume=15; citation_issue=1; citation_publication_date=1982; citation_pages=1-36; citation_id=CR22 citation_journal_title=Lect Notes Biomath; citation_title=Coexistence of competitors in a stochastic environment: the storage effect; citation_author=PL Chesson; citation_volume=52; citation_publication_date=1983; citation_pages=188-198; citation_id=CR23 citation_journal_title=Theor Popul Biol; citation_title=Coexistence of competitors in spatially and temporally varying environments: a look at the combined effects of different sorts of variability; citation_author=PL Chesson; citation_volume=28; citation_publication_date=1985; citation_pages=263-287; citation_id=CR24 citation_journal_title=Am Math Soc Lect Math Life Sci; citation_title=A general model of the role of environmental variability in communities of competing species; citation_author=PL Chesson; citation_volume=20; citation_publication_date=1989; citation_pages=97-123; citation_id=CR25 citation_journal_title=J Math Biol; citation_title=Invasibility and stochastic boundedness in monotonic competition models; citation_author=PL Chesson, S Ellner; citation_volume=27; citation_issue=2; citation_publication_date=1989; citation_pages=117-138; citation_id=CR26 citation_journal_title=Ann Zool Fenn; citation_title=Community consequences of life-history traits in a variable environment; citation_author=PL Chesson, N Huntly; citation_volume=25; citation_publication_date=1988; citation_pages=5-16; citation_id=CR27 citation_journal_title=Am Nat; citation_title=Environmental variability promotes coexistence in lottery competitive systems; citation_author=PL Chesson, RR Warner; citation_volume=117; citation_issue=6; citation_publication_date=1981; citation_pages=923-943; citation_id=CR28 citation_journal_title=Science; citation_title=Diversity in tropical rain forests and coral reefs; citation_author=J Connell; citation_volume=199; citation_publication_date=1978; citation_pages=1302-1310; citation_id=CR29 citation_journal_title=SIAM review; citation_title=Iterated random functions; citation_author=P Diaconis, D Freedman; citation_volume=41; citation_issue=1; citation_publication_date=1999; citation_pages=45-76; citation_id=CR30 citation_journal_title=J Math Biol; citation_title=Evolution of dispersal distance; citation_author=R Durrett, D Remenik; citation_volume=64; citation_issue=4; citation_publication_date=2012; citation_pages=657-666; citation_id=CR31 citation_journal_title=J Math Biol; citation_title=Convergence to stationary distributions in two-species stochastic competition models; citation_author=S Ellner; citation_volume=27; citation_issue=4; citation_publication_date=1989; citation_pages=451-462; citation_id=CR32 citation_journal_title=J Math Biol; citation_title=Protected polymorphisms and evolutionary stability of patch-selection strategies in stochastic environments; citation_author=SN Evans, A Hening, SJ Schreiber; citation_volume=71; citation_issue=2; citation_publication_date=2015; citation_pages=325-359; citation_id=CR33 citation_journal_title=J Math Biol; citation_title=Stochastic population growth in spatially heterogeneous environments; citation_author=SN Evans, PL Ralph, SJ Schreiber, A Sen; citation_volume=66; citation_issue=3; citation_publication_date=2013; citation_pages=423-476; citation_id=CR34 citation_journal_title=J Econ Theory; citation_title=Evolutionary dynamics with aggregate shocks; citation_author=D Fudenberg, C Harris; citation_volume=57; citation_issue=2; citation_publication_date=1992; citation_pages=420-441; citation_id=CR35 citation_journal_title=SIAM J Math Anal; citation_title=Robust permanence for ecological differential equations, minimax, and discretizations; citation_author=BM Garay, J Hofbauer; citation_volume=34; citation_issue=5; citation_publication_date=2003; citation_pages=1007-1039; citation_id=CR36 citation_journal_title=Proc Natl Acad Sci; citation_title=The inflationary effects of environmental fluctuations in source–sink systems; citation_author=A Gonzalez, RD Holt; citation_volume=99; citation_issue=23; citation_publication_date=2002; citation_pages=14872-14877; citation_id=CR37 citation_journal_title=J Differ Equ Appl; citation_title=On the dynamics of multi-species ricker models admitting a carrying simplex; citation_author=M Gyllenberg, J Jiang, L Niu, P Yan; citation_volume=25; citation_publication_date=2019; citation_pages=1489-1530; citation_id=CR38 citation_journal_title=J Math Biol; citation_title=Asymptotic properties of a continuous-space discrete-time population model in a random environment; citation_author=DP Hardin, P Takáč, GF Webb; citation_volume=26; citation_issue=4; citation_publication_date=1988; citation_pages=361-374; citation_id=CR39 citation_journal_title=SIAM J Appl Math; citation_title=A comparison of dispersal strategies for survival of spatially heterogeneous populations; citation_author=DP Hardin, P Takáč, GF Webb; citation_volume=48; citation_issue=6; citation_publication_date=1988; citation_pages=1396-1423; citation_id=CR40 citation_journal_title=J Math Biol; citation_title=Dispersion population models discrete in time and continuous in space; citation_author=DP Hardin, P Takáč, GF Webb; citation_volume=28; citation_issue=1; citation_publication_date=1990; citation_pages=1-20; citation_id=CR41 citation_journal_title=Theor Popul Biol; citation_title=Can spatial variation alone lead to selection for dispersal?; citation_author=A Hastings; citation_volume=24; citation_issue=3; citation_publication_date=1983; citation_pages=244-251; citation_id=CR42 citation_journal_title=J Nonlinear Sci; citation_title=Coexistence, extinction, and optimal harvesting in discrete-time stochastic population models; citation_author=A Hening; citation_volume=31; citation_publication_date=2021; citation_pages=1-50; citation_id=CR43 citation_journal_title=Ann Appl Probab; citation_title=Coexistence and extinction for stochastic Kolmogorov systems; citation_author=A Hening, DH Nguyen; citation_volume=28; citation_issue=3; citation_publication_date=2018; citation_pages=1893-1942; citation_id=CR44 citation_journal_title=Bull Math Biol; citation_title=Persistence in stochastic Lotka–Volterra food chains with intraspecific competition; citation_author=A Hening, DH Nguyen; citation_volume=80; citation_issue=10; citation_publication_date=2018; citation_pages=2527-2560; citation_id=CR45 citation_journal_title=J Math Biol; citation_title=Stochastic Lotka–Volterra food chains; citation_author=A Hening, DH Nguyen; citation_volume=77; citation_issue=1; citation_publication_date=2018; citation_pages=135-163; citation_id=CR46 citation_journal_title=J Math Biol; citation_title=Stochastic population growth in spatially heterogeneous environments: the density-dependent case; citation_author=A Hening, DH Nguyen, G Yin; citation_volume=76; citation_issue=3; citation_publication_date=2018; citation_pages=697-754; citation_id=CR47 Hening A, Nguyen D, Schreiber SJ (2021) A classification of the dynamics of three-dimensional stochastic ecological systems. Ann Appl Probab citation_journal_title=Monatshefte für Mathematik; citation_title=A general cooperation theorem for hypercycles; citation_author=J Hofbauer; citation_volume=91; citation_issue=3; citation_publication_date=1981; citation_pages=233-240; citation_id=CR49 citation_journal_title=J Math Biol; citation_title=Coexistence for systems governed by difference equations of Lotka–Volterra type; citation_author=J Hofbauer, V Hutson, W Jansen; citation_volume=25; citation_issue=5; citation_publication_date=1987; citation_pages=553-570; citation_id=CR50 citation_journal_title=Ann Appl Probab; citation_title=Time averages, recurrence and transience in the stochastic replicator dynamics; citation_author=J Hofbauer, LA Imhof; citation_volume=19; citation_issue=4; citation_publication_date=2009; citation_pages=1347-1368; citation_id=CR51 citation_journal_title=Am Nat; citation_title=The paradox of the plankton; citation_author=GE Hutchinson; citation_volume=95; citation_publication_date=1961; citation_pages=137-145; citation_id=CR52 citation_journal_title=Ann Appl Probab; citation_title=The long-run behavior of the stochastic replicator dynamics; citation_author=LA Imhof; citation_volume=15; citation_issue=1B; citation_publication_date=2005; citation_pages=1019-1045; citation_id=CR53 citation_journal_title=Ann Math Stat; citation_title=On the generalized birth and death process; citation_author=D Kendall; citation_volume=19; citation_publication_date=1948; citation_pages=1-15; citation_id=CR54 citation_journal_title=Am Nat; citation_title=Predation-competition interactions for seasonally recruiting species; citation_author=JJ Kuang, P Chesson; citation_volume=171; citation_issue=3; citation_publication_date=2008; citation_pages=E119-E133; citation_id=CR55 citation_journal_title=Ecology; citation_title=Coexistence of annual plants: generalist seed predation weakens the storage effect; citation_author=JJ Kuang, P Chesson; citation_volume=90; citation_issue=1; citation_publication_date=2009; citation_pages=170-182; citation_id=CR56 citation_journal_title=Theor Popul Biol; citation_title=Interacting coexistence mechanisms in annual plant communities: frequency-dependent predation and the storage effect; citation_author=JJ Kuang, P Chesson; citation_volume=77; citation_issue=1; citation_publication_date=2010; citation_pages=56-70; citation_id=CR57 citation_journal_title=J Appl Probab; citation_title=Solutions of ordinary differential equations as limits of pure jump Markov processes; citation_author=TG Kurtz; citation_volume=7; citation_issue=1; citation_publication_date=1970; citation_pages=49-58; citation_id=CR58 citation_journal_title=Am Nat; citation_title=The effects of dynamical rates on species coexistence in a variable environment: the paradox of the plankton revisited; citation_author=L Li, P Chesson; citation_volume=188; citation_issue=2; citation_publication_date=2016; citation_pages=E46-E58; citation_id=CR59 citation_title=Stability and complexity in model ecosystems; citation_publication_date=1974; citation_id=CR60; citation_author=RM May; citation_publisher=Princeton University Press citation_journal_title=Adv Appl Probab; citation_title=Stability of Markovian processes. I. Criteria for discrete-time chains; citation_author=SP Meyn, RL Tweedie; citation_volume=24; citation_issue=3; citation_publication_date=1992; citation_pages=542-574; citation_id=CR61 citation_journal_title=Theor Popul Biol; citation_title=Food web dynamics in correlated and autocorrelated environments; citation_author=J Ripa, AR Ives; citation_volume=64; citation_issue=3; citation_publication_date=2003; citation_pages=369-384; citation_id=CR62 citation_journal_title=J Math Biol; citation_title=Persistence in fluctuating environments for interacting structured populations; citation_author=G Roth, SJ Schreiber; citation_volume=69; citation_issue=5; citation_publication_date=2014; citation_pages=1267-1317; citation_id=CR63 citation_journal_title=Am Nat; citation_title=Temporal autocorrelation can enhance the persistence and abundance of metapopulations comprised of coupled sinks; citation_author=M Roy, RD Holt, M Barfield; citation_volume=166; citation_issue=2; citation_publication_date=2005; citation_pages=246-261; citation_id=CR64 citation_journal_title=J Differ Equ Appl; citation_title=Global stability in the 2d Ricker equation; citation_author=B Ryals, RJ Sacker; citation_volume=21; citation_issue=11; citation_publication_date=2015; citation_pages=1068-1081; citation_id=CR65 citation_journal_title=Discrete Contin Dyn Syst B; citation_title=Global stability in the 2d ricker equation revisited; citation_author=B Ryals, RJ Sacker; citation_volume=22; citation_issue=2; citation_publication_date=2016; citation_pages=585; citation_id=CR66 citation_journal_title=Ecol Lett; citation_title=Site fidelity in temporally correlated environments enhances population persistence; citation_author=KA Schmidt; citation_volume=7; citation_issue=3; citation_publication_date=2004; citation_pages=176-184; citation_id=CR67 citation_journal_title=Proc R Soc Lond B Biol Sci; citation_title=Interactive effects of temporal correlations, spatial heterogeneity and dispersal on population persistence; citation_author=SJ Schreiber; citation_volume=277; citation_publication_date=2010; citation_pages=1907-1914; citation_id=CR68 citation_journal_title=J Differ Equ Appl; citation_title=Persistence for stochastic difference equations: a mini-review; citation_author=SJ Schreiber; citation_volume=18; citation_issue=8; citation_publication_date=2012; citation_pages=1381-1403; citation_id=CR69 citation_journal_title=J Math Biol; citation_title=Persistence in fluctuating environments; citation_author=SJ Schreiber, M Benaïm, KAS Atchadé; citation_volume=62; citation_issue=5; citation_publication_date=2011; citation_pages=655-683; citation_id=CR70 citation_title=Density vagueness: abiding the variance in the demography of real populations; citation_publication_date=1986; citation_id=CR71; citation_author=DR Strong; citation_publisher=Harper & Row Publishing citation_journal_title=Proc Natl Acad Sci USA; citation_title=Does environmental variability limit niche overlap?; citation_author=M Turelli; citation_volume=75; citation_publication_date=1978; citation_pages=5085-5089; citation_id=CR72 citation_journal_title=Theor Popul Biol; citation_title=Niche overlap and invasion of competitors in random environments i: models without demographic stochasticity; citation_author=M Turelli; citation_volume=20; citation_publication_date=1981; citation_pages=1-56; citation_id=CR73 citation_journal_title=Theor Popul Biol; citation_title=Conditions for the existence of stationary densities for some two-dimensional diffusion processes with applications in population biology; citation_author=M Turelli, JH Gillespie; citation_volume=17; citation_issue=2; citation_publication_date=1980; citation_pages=167-189; citation_id=CR74 citation_journal_title=Theor Popul Biol; citation_title=The relative importance of relative nonlinearity and the storage effect in the lottery model; citation_author=C Yuan, P Chesson; citation_volume=105; citation_publication_date=2015; citation_pages=39-52; citation_id=CR75