TY - JOUR

T1 - Pollinator limitation, cost of reproduction, and fitness in plants

T2 - a transition-matrix demographic approach

AU - Calvo, R. N.

AU - Horvitz, C. C.

PY - 1990/1/1

Y1 - 1990/1/1

N2 - A model of population dynamics based on a transition-probability matrix was used to evaluate how pollinator limitation and demographic cost of reproduction interact to create a fitness surface for plants. The state variable was the size-fecundity class of an individual; in a given season, individuals were classified as having relatively high or low fecundity. Three parameters were investigated: cost of reproduction c, was the probability that high-fecundity individuals regress one size class; population pollination level, p, was the probability that reproductive individuals have a high-fecundity year; fecundity difference, d, was the relative difference in fecundity between low- and high-fecundity individuals. The main results of simulations were that 1) for any combination of c and d, there is a particular value of p that maximizes fitness, and this value can be very low or very high; 2) keeping the other parameters constant, higher c's reduce fitness and higher d's increase fitness; 3) the magnitude of the effects of c and d on fitness depends only on p and is lowest when p is lowest and highest when p is highest; and 4) increases in c and d move the optimal pollination level to the left and right, respectively. Hand-pollinations should be designed to explicitly quantify the relationship between d and c. -from Authors

AB - A model of population dynamics based on a transition-probability matrix was used to evaluate how pollinator limitation and demographic cost of reproduction interact to create a fitness surface for plants. The state variable was the size-fecundity class of an individual; in a given season, individuals were classified as having relatively high or low fecundity. Three parameters were investigated: cost of reproduction c, was the probability that high-fecundity individuals regress one size class; population pollination level, p, was the probability that reproductive individuals have a high-fecundity year; fecundity difference, d, was the relative difference in fecundity between low- and high-fecundity individuals. The main results of simulations were that 1) for any combination of c and d, there is a particular value of p that maximizes fitness, and this value can be very low or very high; 2) keeping the other parameters constant, higher c's reduce fitness and higher d's increase fitness; 3) the magnitude of the effects of c and d on fitness depends only on p and is lowest when p is lowest and highest when p is highest; and 4) increases in c and d move the optimal pollination level to the left and right, respectively. Hand-pollinations should be designed to explicitly quantify the relationship between d and c. -from Authors

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U2 - 10.1086/285110

DO - 10.1086/285110

M3 - Article

AN - SCOPUS:0025665020

VL - 136

SP - 499

EP - 516

JO - American Naturalist

JF - American Naturalist

SN - 0003-0147

IS - 4

ER -