Reproductive value is a concept in demography and population genetics that represents the discounted number of future female children that will be born to a female of a specific age. Ronald Fisher first defined reproductive value in his 1930 book The Genetical Theory of Natural Selection where he proposed that future offspring be discounted at the rate of growth of the population; this implies that sexually reproductive value measures the contribution of an individual of a given age to the future growth of the population.[1] [2]
Consider a species with a life history table with survival and reproductive parameters given by
\ellx
mx
\ellx
x
mx
x.
In a population with a discrete set of age classes, Fisher's reproductive value is calculated as
vx=
infty | |
\sum | |
y=x |
λ-(y-x+1)
\elly | |
\ellx |
my
λ
v(x)=
infty | |
\int | |
x |
e-r(y-x)
\ell(y) | |
\ell(x) |
m(y)dy
r