mature: mature alternative logistic function commonly used for maturity
Description
mature a function 1/(1+(1/exp(a + b x sizeage))) which can
be expressed as exp(a + b x sizeage)/(1 + exp(a + b x sizeage)).
This describes a symmetric logistic curve that has the property
Lm50 = -a/b and the interquartile distance is 2.log(3)/b.
Usage
mature(a, b, sizeage)
Arguments
a
is the intercept of the exponential function usually -ve
b
is the gradient of the exponential function
sizeage
is a vector of lengths/ages for which the logistic
maturity value will be calculated
Value
A vector of predicted proportion mature for the sizeage