{"database":"biostudies-literature","file_versions":[],"scores":null,"additional":{"submitter":["Pande J"],"funding":["Israel Science Foundation"],"pagination":["1783-1794"],"full_dataset_link":["https://www.ebi.ac.uk/biostudies/studies/S-EPMC9543749"],"repository":["biostudies-literature"],"omics_type":["Unknown"],"volume":["25(8)"],"pubmed_abstract":["Invasibility, the chance of a population to grow from rarity and become established, plays a fundamental role in population genetics, ecology, epidemiology and evolution. For many decades, the mean growth rate of a species when it is rare has been employed as an invasion criterion. Recent studies show that the mean growth rate fails as a quantitative metric for invasibility, with its magnitude sometimes even increasing while the invasibility decreases. Here we provide two novel formulae, based on the diffusion approximation and a large-deviations (Wentzel-Kramers-Brillouin) approach, for the chance of invasion given the mean growth and its variance. The first formula has the virtue of simplicity, while the second one holds over a wider parameter range. The efficacy of the formulae, includi"],"journal":["Ecology letters"],"pubmed_title":["Quantifying invasibility."],"pmcid":["PMC9543749"],"funding_grant_id":["2669/17"],"pubmed_authors":["Shnerb NM","Pande J","Tsubery Y"],"additional_accession":[]},"is_claimable":false,"name":"Quantifying invasibility.","description":"Invasibility, the chance of a population to grow from rarity and become established, plays a fundamental role in population genetics, ecology, epidemiology and evolution. For many decades, the mean growth rate of a species when it is rare has been employed as an invasion criterion. Recent studies show that the mean growth rate fails as a quantitative metric for invasibility, with its magnitude sometimes even increasing while the invasibility decreases. Here we provide two novel formulae, based on the diffusion approximation and a large-deviations (Wentzel-Kramers-Brillouin) approach, for the chance of invasion given the mean growth and its variance. The first formula has the virtue of simplicity, while the second one holds over a wider parameter range. The efficacy of the formulae, includi","dates":{"release":"2022-01-01T00:00:00Z","publication":"2022 Aug","modification":"2025-04-04T20:04:18.249Z","creation":"2025-04-04T20:04:18.249Z"},"accession":"S-EPMC9543749","cross_references":{"pubmed":["35717561"],"doi":["10.1111/ele.14031"]}}