Campbell Biology
Campbell Biology
12th Edition
ISBN: 9780135188743
Author: Urry
Publisher: PEARSON
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Chapter 53.2, Problem 1CC

Explain why a constant per capita rate of growth (r) for a population produces a curve that is J-shaped.

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The per capita birth (b) and death (d) rates are measured for two populations across a range of population sizes in the attached figure. The equation for exponential growth rate is dN/dt=rN where the per capita growth rate is r=(b-d). The equation for logistic population growth rate is dN/dt=rN(1-N/K). With logistic growth, r varies as a function of the population size with density-dependent birth and/or death rates. See attached image If the death rate decreased, what would happen to the population trajectory for population A? a) increase faster b) increase slower c) decrease faster d) decrease slower
Why does the exponential model of population growth produce a curve shaped like a J?
In the development of the exponential model of population growth, why can B and D be substituted by bN and dN, respectively? Explain.

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