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Lecture 15 &amp; 16 Outline_28 Feb and March 2, 2011

# Lecture 15 &amp; 16 Outline_28 Feb and March 2, 2011 -...

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Ecology 326 Lectures 15 & 16 outline February 28 & March 2, 2011 Chapter 11 I. Population growth models A. Unrestricted population growth of organisms with non-overlapping generations is modeled using the Geometric growth model : N t = N o λ t Practice modeling population growth using the geometric growth model Geometric Growth Problem: A certain moth species breeds in late summer and leaves only eggs to survive the winter. One local population was observed to increase from 5,000 to 6,000 from one season to the next. Predict the population size after 5 years, assume N o = 6,000. B. Unrestricted growth of populations with overlapping generations can be modeled using the Exponential growth model : N t = N o e rt The same model (equation) in differential format is: dN = rN dt Models of exponential growth use per capita rate of increase ( r ) r = birthrate – deathrate = (b – d) r = ln R o /T Exponential Growth Problem: Twenty cockroaches colonize a pantry. Estimate their numbers after 60

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Lecture 15 &amp; 16 Outline_28 Feb and March 2, 2011 -...

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