UNI101Y1 Study Guide - Exponential Growth

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There is another reason to express pop. growth as an exponential function. We can see this by taking the logarithm of the expression for the exponential growth, N(t) = n(0)ert, which is ln[n(t)] = ln[n(0)] + rt: this is the eqn for the straight line w/ an intercept at t = 0 of ln[n(0)] and a slope of r. The growth rates of diff pop. , or of a single pop. over time, can be compared readily by plotting the logarithm of pop. size over time. Calculating population growth rates from birth and death rates. Exponential growth: the indiv. contribution to pop. growth (r) is the diff. b/w birth rate (b) and death rate (d) calculated on a per capita basis, thus r = b d. In the case of individuals moving b/w subpopulations: r = b d + i e immigration (i), emigration (e) Birth and death rates pertain to populations not to indiv.

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