Discussion
If a certain species, say fish, reproduces only during the third year and then dies. Let an initial population of n° = n = (1000, 0, 0) that is of 1000 newborns, and no other fishes. Now during the first year, 25% of fish survived and then 50% of those make it to reproduction age. Then the Leslie's matrix of this situation is :
Answer: C
The Leslie matrix is \(\begin{bmatrix}0&0&f_{3}\\0.25&0&0\\0&0.5&0\end{bmatrix}\).
A Leslie matrix has the age-specific fecundities in its first row and the survival probabilities on the sub-diagonal, from age class 1 to 2 and from 2 to 3.
The fish breed only in the third year, so the fecundities of the first two classes are 0 and only \(f_{3}\) stays. Of the newborns 25% survive to class 2, and 50% of those reach class 3, giving 0.25 and 0.5 below the diagonal.
The first two options give fecundity to classes 1 and 2, which do not breed. The last puts the survival rates on the main diagonal, which would mean fish staying in the same age class instead of ageing.
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