Calculate the following (show your
work; carry 3 significant digits):A population of kokanee salmon breeds at age 2 and then they all die. Forty kokanee are introduced into a new lake/river system in 1970, where they do well (Ro=1.25).
1a) Calculate the population size for the next 10 generations (= 20 years). Show your work for the first few generations.
1b) Starting in 1990, the implementation of annual drawdowns has reduced available spawning sites and, consequently, greatly reduce fertility of kokanee in this system (Ro is now = 0.5). Calculate the population size for the next 10 generations. Show your work for the first few generations..
1c) Plot the population size through time (from the time of introduction) using both population size and the natural log of the population size versus time (i.e., on 2 separate graphs). Label your axes and provide a descriptive title for your graph(s).
The following data were collected on a population of boreal chickadees (assume birth-pulse fertility):
Age (yrs) lx mx . . 0 1000 0.0 . . 1 300 3.25 . . 2 175 3.25 . . 3 70 3.75 . . 4 15 3.75 . .
Calculate the following (show your
work; carry 3 significant digits):
2a) What is the the net reproductive rate (Ro) for this population?
2b) What is the mean generation length (G) ?
2c) What is the finite rate of growth (lambda) ?
2d) What is the instantaneous rate of growth (r) ?
2e) If N0 = 50 birds, what is the projected population size in 10 years? What assumptions, other than birth-pulse fertility, are necessary for this population projection to be valid? (hint: there are 3 basic assumptions).
A population of cottontail rabbits is released on a small island where there is an abundance of food. Because of mild-weather conditions, reproduction within the population occurs throughout the year (i.e., birth-flow fertility). A literature search reveals that rabbits can have an annual instantaneous growth rate (r) of 0.55 under similar circumstances.
3a) If 10 individuals were released, how long would it take for this population to double in size?
3b) Project the population size at t = 2, 5, 10, and 50 years (assume N0 = 15)
3c) Is this model likely to be realistic for the population in the first few years following release? How about after the first few years? Why or why not?
As part of a research project, you observed that smallmouth bass had a finite mortality rate of 0.21 for a time span of 346 days. Convert this mortality rate to a standard year (365 days). Show your work!
As usual, the problem set is due
next week at the beginning of lab.
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