EEB 3408W Lecture Notes - Lecture 3: Maximum Sustainable Yield, Exponential Growth

• School: UMN
• Department: Ecology, Evolution, and Behav
• Course: EEB 3408W
• Professor: Cavender- Bares, Jeannine

Document Summary

Density independent growth - continuous exponential growth model, unlimited resources dn/dt = rn, nt = n0ert. Change per unit of time, population quantity lnnt = lnn0 + rt graphed with t as x axis and ln population size as y, slope is r and lnn0 is the y intercept. Density dependent population growth - more realistic model. Sources are not infinite dn / dt = rn((k-n)/k) Adds carrying capacity, max number that fit. Intraspecific (within population) competition reduces per capita growth. K-n / k = the fraction of the carrying capacity that still remains (feedback term) Only part that differs from the density independent. Now growth is logistic instead of exponential. Dn/ndt = r - (r/k)n = per capita growth. Rate increases, reaches a peak then decreases to 0.