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Exponential Growth

Exponential Growth. By: Greta Garland, Erin Groves, Kali Clark. Per Capita Rate of Increase. Change in Population Size during Time interval. Births During Time Interval. Immigrants entering population during time interval. Emigrants leaving population during time interval. +.

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Exponential Growth

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  1. Exponential Growth By: Greta Garland, Erin Groves, Kali Clark

  2. Per Capita Rate of Increase Change in Population Size during Time interval Births During Time Interval Immigrants entering population during time interval Emigrants leaving population during time interval + Deaths during time interval = - + The population increases in size with every birth and with immigration and it will decrease in size with every death and emigration. This equation defines change in population size during a fixed time interval.

  3. Per Capita Rate of Increase • Per capita birth rate-the number of offspring produced per unit time by an average member of the population. ex: there are 34 births per year in a population of 1000 individuals. The annual per capita birth rate is 34/1000 or .034. • We can use the formula B=bN to calculate the expected number of births per year in a population of any size.

  4. Per Capita Rate of Increase • Per capita death rate- this allows us to calculate the expected number of deaths per unit time in a population of any size using the formula D=dN • Population ecologists are most interested in the difference between the per capita birth rate and the per capita death rate. • Zero population growth(zpg)-occurs when the per capita birth and death rates are equal. This is when birth and death rates balance each other exactly.

  5. Exponential Growth • exponential growth is population increase under ideal conditions. • The equation for exponential growth is Dn/dt= rmaxN • This is the equation provided for the AP test • dN= death rate population size • dT=death rate time • rmaxN=maximum per capita growth rate of population

  6. Exponential Growth The two variables of Population and birth rate form a feedback loop. The third variable, fractional birth rate, is a constant.

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