WOLFRAM|DEMONSTRATIONS PROJECT

Beverton and Holt's Yield per Recruit Model

​
age of recruitment
t
r
3
maximum individual weight
W
∞
3
weight-length relation b
3
individual growth rate k
0.3
natural mortality rate M
0.3
axes values
contour lines
transparent
contour plot
yield curve profiles
mesh density
7
In 1957 R. J. H. Beverton and S. J. Holt published their seminal work on the dynamics of exploited fish populations. The work includes individual growth models of von Bertalanffy, mortality models of Baranov, and a number of other methods to describe population dynamics. The most famous model presented in the work of Beverton and Holt is the simple yield per recruit model, presenting the sustainable yield of a fish population as a function of age of first catch
t
c
, assuming knife-sharp selection and rate of fishing mortality
F
. The weight-length-relation
b
is assumed to be close to 3 (cubic relation) and the natural mortality rate
M
is in most cases close to the natural individual growth rate
k
.