Population Growth Assignment
Biology 312 - Ecology
Population Growth Assignment
In your research on population dynamics of June beetles, you estimate that the population size is 3,000. Over the course of a month, you record 400 births and 150 deaths in the population.
1. Estimate r (per capita rate of increase)
• We know that there are 400 births in the population over the month, in our population of 3,000 individuals; we can express this as a rate by doing the following:
o Birth rate = 400/3000 = ____________ births/(individual per month)
o Death rate = ____/3000 = ____________ deaths/(individual per month)
o r = birth rate – death rate = ________ - __________ = ____________
2. Calculate what the population size would be in 6 months.
• Nt = N0 ert
o N0 = _____________
o r = _____________
o t = _____________
o Nt = _____________
Potentially useful information if you do not have “e” on your calculator. Recall that to get rid of the exponent, simply take the natural log (ln) of both sides of the equation. Remember, when we take the natural log of a quotient, we end up taking the ln of one value and subtracting it from the ln of the other value (example below).
• Nt = N0 ert
• Nt / N0 = ert
• ln(Nt) – ln(N0) = rt
• ln(Nt) = rt + ln(N0)
3. Calculate the population size after 6 months if you recorded 4000 births (deaths remained the same).
• Nt = ______________
4. Describe the terms in the equation for exponential growth used to calculate population size at any time (Nt = N0ermaxt).
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