TY - JOUR
T1 - Spatial heterogeneity and interspecific competition
AU - Pacala, Stephen Wilson
AU - Roughgarden, J.
N1 - Funding Information:
We thank Drs. Nanako Shigesadaa nd David Heckel for many helpful discussions.D r. David Barnett provided valuable technical assistence.W e also thank two anonymous reviewersf or their detaileda nd helpfulc ommentsT. his work was supportedb y Departmenot f Energy contract number DE-AS03-765F00326 awarded to J. Roughgarden and NSF GraduateT raineeshipG M7 181 45.
PY - 1982/2
Y1 - 1982/2
N2 - A model of two competing species is presented in which each species is able to disperse over a single spatial axis. The spatial axis is composed of two intervals with different carrying capacities. We ask the question: If species one is alone and at population dynamic equilibrium, then when can species two successfully invade when rare? We say that an interval is "suitable" if the interval can be invaded by species two in the absence of dispersal by both species, and we say an interval is "unsuitable" if the interval cannot be invaded by species two in the absence of dispersal by both species. We offer three findings: (I) If one interval is suitable and the other is unsuitable, then the success of invasion depends upon the length of the suitable interval. Invasion succeeds if the suitable interval is larger than a threshold minimum and fails otherwise. (II) It is possible for species two to invade even though both intervals are unsuitable. (III) It is possible for species two to fail to invade even though both intervals are suitable.
AB - A model of two competing species is presented in which each species is able to disperse over a single spatial axis. The spatial axis is composed of two intervals with different carrying capacities. We ask the question: If species one is alone and at population dynamic equilibrium, then when can species two successfully invade when rare? We say that an interval is "suitable" if the interval can be invaded by species two in the absence of dispersal by both species, and we say an interval is "unsuitable" if the interval cannot be invaded by species two in the absence of dispersal by both species. We offer three findings: (I) If one interval is suitable and the other is unsuitable, then the success of invasion depends upon the length of the suitable interval. Invasion succeeds if the suitable interval is larger than a threshold minimum and fails otherwise. (II) It is possible for species two to invade even though both intervals are unsuitable. (III) It is possible for species two to fail to invade even though both intervals are suitable.
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U2 - 10.1016/0040-5809(82)90008-9
DO - 10.1016/0040-5809(82)90008-9
M3 - Article
AN - SCOPUS:0002197942
SN - 0040-5809
VL - 21
SP - 92
EP - 113
JO - Theoretical Population Biology
JF - Theoretical Population Biology
IS - 1
ER -