Ecology (Biology 250) Notes on Lecture 12

# Ecology (Biology 250) Notes on Lecture 12 - Ecology(BIOL...

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9/25/11 1 Today’s Outline Ecology (BIOL 250) Lecture 12: Population Dynamics Announcements Exponential & Logistic Growth Density Dependant & independent Limitations Offspring Number Versus Size Continuous population growth in an unlimited environment can be modeled exponentially. dN/dt = r max N As population size (N) increases, rate of population increase (dN/dt) gets larger. Exponential Population Growth Exponential Population Growth dN/dt = r max N Logistic Population Growth As resources are depleted, population growth rate slows and eventually stops: logistic population growth. Sigmoid (S-shaped) population growth curve . Carrying capacity ( K ) is the number of individuals of a population the environment can support. Finite amount of resources can only support a finite number of individuals. Logistic Growth What causes the rate r to change? Logistic Population Growth dN/dt = r max N(1-N/K) r max = Maximum per capita rate of increase under ideal conditions.

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