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# Population Ecology

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## Alex To

on 15 April 2010

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#### Transcript of Population Ecology

Per Capita Rate of Increase -The basic formula for change or slope in population is
Population size/Time = Births/Time - Deaths/Time
when the time is constant Said formula is usually condensed to dN/dt= B-D
where dN/dt is the calculus way of saying the rate of population change
B is birth rate
D is death rate
then later m is mortality rate But the per capita population growth equation is
dN/dt= bN - mN or
dN/dt= rN where r = b-m ZPG or Zero population growth Exponential Growth Also known as geometric population growth, basically its a function with an increasing or decreasing rate in rate over time, or acceleration is to velocity dN/dt=rmax N is the given formula as rmax means intrinsic rate of increase Exponential Model Logistic Model Logistic population grown is like the exponential model, but with a limiter,
thus making it more realistic as theres a limit to resources to let the population
grow Said formula is dN/dt= rmax N ((K-N)/K) where K is the carrying capacity The added ((K-N)/K) makes it so the closer N is to K, the slower the growth will become and once it goes over K the population should decline due to lack of resources K-selection is the life history traits that work well in high density r-selection is the life history traits to maximize reproduction in low density population states
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