BIS 2B Lecture Notes - Lecture 7: Logistic Function, Life Table, Reaction Rate Constant
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Dn/dt = rn nt = n0ert r = constant that represents oer capita growth rate / aka intrinsic rate of increase. Growth rate constant and density independent carrying capacity: resources are limited, capping population growth logistic growth: dn/dt = rn (1-(n/k)) r is same constant. Growth rate is density dependent, decreases with increasing n. Age-specific fecundity (lx) - average number of offspring produced by an individual of age or stage x. Type i - high survivorship, die at old age (large mammals, humans) Type ii - constant probability of dying across each year (some birds; unusual) Type iii - most newborns die fast, adults have high survivability. Net reproductive rate (r0) - average number of offspring produced by a female during its entire lifetime. Equation (words): r0 = product of survival and fecundity, summed over all age classes. Equation (#): r0 = [sigma] lxmx reproductive value - expected reproduction of an individual from their current age onward.