Comparative statics and stochastic dynamics of age-structured populations Export

@article{citeulike:4094548, abstract = {Arguments from the comparative statics of populations with fixed vital rates are of limited use in studying age-structured populations subject to stochastically varying vital rates. In an age-structured population that experiences a sequence of independently and identically distributed Leslie matrices, the expectation of the Malthusian parameters of the Leslie matrices has no exact interpretation either as the ensemble average of the long-run rate of growth of each sample path of the population (Eq. (3)) or as the long-run rate of growth of the ensemble average of total population size (Eq. (4)). On the other hand, the Malthusian parameter of the expectation of a sequence of Leslie matrices is exactly the logarithm of the finite growth rate of the ensemble average of total population size when Leslie matrices are independently and identically distributed (though not in general when Leslie matrices are sequentially dependent). These observations appear to contradict the claims of a recent study using computer simulation of age-structured populations with stochastically varying vital rates.}, author = {Cohen, J.}, citeulike-article-id = {4094548}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/0040-5809(79)90011-X}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/004058097990011X}, doi = {10.1016/0040-5809(79)90011-X}, issn = {00405809}, journal = {Theoretical Population Biology}, keywords = {age\_structured, matrix, population\_dynamics}, month = {October}, number = {2}, pages = {159--171}, posted-at = {2009-02-24 16:59:06}, priority = {0}, title = {Comparative statics and stochastic dynamics of age-structured populations}, url = {http://dx.doi.org/10.1016/0040-5809(79)90011-X}, volume = {16}, year = {1979} }

TY - JOUR ID - citeulike:4094548 L3 - citeulike-article-id:4094548 N2 - Arguments from the comparative statics of populations with fixed vital rates are of limited use in studying age-structured populations subject to stochastically varying vital rates. In an age-structured population that experiences a sequence of independently and identically distributed Leslie matrices, the expectation of the Malthusian parameters of the Leslie matrices has no exact interpretation either as the ensemble average of the long-run rate of growth of each sample path of the population (Eq. (3)) or as the long-run rate of growth of the ensemble average of total population size (Eq. (4)). On the other hand, the Malthusian parameter of the expectation of a sequence of Leslie matrices is exactly the logarithm of the finite growth rate of the ensemble average of total population size when Leslie matrices are independently and identically distributed (though not in general when Leslie matrices are sequentially dependent). These observations appear to contradict the claims of a recent study using computer simulation of age-structured populations with stochastically varying vital rates. IS - 2 JF - Theoretical Population Biology SN - 00405809 EP - 171 TI - Comparative statics and stochastic dynamics of age-structured populations VL - 16 SP - 159 KW - age_structured KW - matrix KW - population_dynamics AU - Cohen, J PY - 1979/10// UR - http://dx.doi.org/10.1016/0040-5809(79)90011-X ER -