BISC 102 Study Guide - Final Guide: Logistic Function, Exponential Growth, Shared Resource

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Population: group of individuals of 1 species living in a given area. Age structure: # of individuals of different ages. Uniform/regular: individuals evenly spaced (territoriality, competition for scarce resource) Y-axis: number of survivors (nx), x-axis: age (years) Or y-axis: number of survivors (log scale), x-axis: % of max life span. Long parental care: principle of allocation: individuals divide a finite amount of resources among multiple needs: Whole life: present, future: rate of change in pop. size: r = rate of increase per capita. When b is high, d is very low, r is at rmax (intrinsic rate of growth) Exponential growth: dn/dt = rmax*n (ie. unlimited resources) Logistic growth: dn/dt = rmaxn*(k-n)/k [(k-n)/k = proportion of carrying capacity still available for growth] At first, population growth approximated an exponential growth curve (r max *n), where rmax is the intrinsic growth rate for the population, and n is the total population at a given point in time.

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