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The Sun Bear population now only has 6 newborns, 32 juveniles, 29 small females,

ID: 229514 • Letter: T

Question

The Sun Bear population now only has 6 newborns, 32 juveniles, 29 small females, and 8 mature females. The reserve manager wants to know if the population is going to make it.

a) Write out the stage-based transition matrix that describes the females in this population with the correct labels on the outside of the matric for different life stages (3 pts);

b) State what the semi-circular arrows (on top), the arrows pointing to the right, and the arrows pointing to the left denote (1 pt);

c) State what the numbers on the diagonal, and those on the off-diagonal represent. (1 pt)

d) In an age-based model, do the numbers on the diagonal or off-diagonal have to equal 0? Why? (1 pt)

What is the average annual percent mortality for juveniles?

How many individuals do you expect the Sun Bear population to have next year? Show your calculations. What is the population growth rate at this time, and is the population growing, stable, shrinking?

How many individuals do you expect to have in each stage class 30 years from now (round to 2 decimal points)? What is the population growth rate at this time, and is the population growing, stable, shrinking? In approximately what year does the population reach a Stable Stage Distribution?

Explanation / Answer

a)

let A-mature females-8

B-small females- 29

C-juveniles-32

D-newborns-6

75

Transition matrix with vital rates

A 8 B 29 C 32 D 6 TOTAL-

75

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