---
res:
  bibo_abstract:
  - "Populations evolve in spatially heterogeneous environments. While a certain trait
    might bring a fitness advantage in some patch of the environment, a different
    trait might be advantageous in another patch. Here, we study the Moran birth–death
    process with two types of individuals in a population stretched across two patches
    of size N, each patch favouring one of the two types. We show that the long-term
    fate of such populations crucially depends on the migration rate μ\r\n between
    the patches. To classify the possible fates, we use the distinction between polynomial
    (short) and exponential (long) timescales. We show that when μ is high then one
    of the two types fixates on the whole population after a number of steps that
    is only polynomial in N. By contrast, when μ is low then each type holds majority
    in the patch where it is favoured for a number of steps that is at least exponential
    in N. Moreover, we precisely identify the threshold migration rate μ⋆ that separates
    those two scenarios, thereby exactly delineating the situations that support long-term
    coexistence of the two types. We also discuss the case of various cycle graphs
    and we present computer simulations that perfectly match our analytical results.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Jakub
      foaf_name: Svoboda, Jakub
      foaf_surname: Svoboda
      foaf_workInfoHomepage: http://www.librecat.org/personId=130759D2-D7DD-11E9-87D2-DE0DE6697425
    orcid: 0000-0002-1419-3267
  - foaf_Person:
      foaf_givenName: Josef
      foaf_name: Tkadlec, Josef
      foaf_surname: Tkadlec
      foaf_workInfoHomepage: http://www.librecat.org/personId=3F24CCC8-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-1097-9684
  - foaf_Person:
      foaf_givenName: Kamran
      foaf_name: Kaveh, Kamran
      foaf_surname: Kaveh
  - foaf_Person:
      foaf_givenName: Krishnendu
      foaf_name: Chatterjee, Krishnendu
      foaf_surname: Chatterjee
      foaf_workInfoHomepage: http://www.librecat.org/personId=2E5DCA20-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-4561-241X
  bibo_doi: 10.1098/rspa.2022.0685
  bibo_issue: '2271'
  bibo_volume: 479
  dct_date: 2023^xs_gYear
  dct_identifier:
  - UT:000957125500002
  dct_isPartOf:
  - http://id.crossref.org/issn/1364-5021
  - http://id.crossref.org/issn/1471-2946
  dct_language: eng
  dct_publisher: The Royal Society@
  dct_title: Coexistence times in the Moran process with environmental heterogeneity@
...