I. Barradas et al., COMPETITION DURING COLONIZATION VS COMPETITION AFTER COLONIZATION IN DISTURBED ENVIRONMENTS - A METAPOPULATION APPROACH, Bulletin of mathematical biology, 58(6), 1996, pp. 1187-1207
How two species interact during and after colonization influences whic
h of them will be present in each stage of succession. In the toleranc
e model of ecological succession in a patchy environment, empty patche
s can be colonized by any species, but the ability to tolerate reduced
resource levels determines which species will exclude the other. Here
, we analyze a meta-population model of the possible roles of competit
ion in colonization and succession, using non-linear Markov chains as
a mathematical framework. Different kinds of competition affect the fi
nal equilibrial abundances of the species involved in qualitatively di
fferent ways. An explicit criterion is given to determine which intera
ctions have stronger effects on the final equilibrial levels of the we
aker species. Precise conditions are stated for the co-existence of bo
th species. Both species are more likely to co-exist in the presence o
f an intermediate disturbance frequency. (C) 1996 Society for Mathemat
ical Biology