the matrix representing the
transition from one year’s population to the next was
(0.7 0.2)
(3 0 )
representing a 70% adult survival rate from year to year, a 20% survival rate for young.
The new matrix describing this situation is:
A = (0.7 − f 0.2)
(3 0 )
If we pick f very small (close to zero) the population will still grow. If we pick f too
large, the population will die off. We want to pick f “just right” so that the population
will be stable. What value of f will be just right?

Question

the matrix representing the
transition from one year’s population to the next was
 (0.7           0.2)
 (3                0 )
representing a 70% adult survival rate from year to year, a 20% survival rate for young.
The new matrix describing this situation is:
A =  (0.7 − f           0.2)
        (3                      0 )
If we pick f very small (close to zero) the population will still grow. If we pick f too
large, the population will die off. We want to pick f “just right” so that the population
will be stable. What value of f will be just right?