This is like the lognormal_pred_kernel()
but with an imposed
maximum predator/prey mass ratio
truncated_lognormal_pred_kernel(ppmr, beta, sigma)
A vector of predator/prey size ratios
The preferred predator/prey size ratio
The width parameter of the log-normal kernel
A vector giving the value of the predation kernel at each of the
predator/prey mass ratios in the ppmr
argument.
Writing the predator mass as \(w\) and the prey mass as \(w_p\),
the feeding kernel is given as
$$\phi_i(w, w_p) =
\exp \left[ \frac{-(\ln(w / w_p / \beta_i))^2}{2\sigma_i^2} \right]
$$
if \(w/w_p\) is between 1 and \(\beta_i\exp(3\sigma_i)\)
and zero otherwise.
Here \(\beta_i\) is the preferred predator-prey mass ratio and \(\sigma_i\)
determines the width of the kernel.
These two parameters need to be given in the species parameter dataframe in
the columns beta
and sigma
.
This function is called from setPredKernel()
to set up the
predation kernel slots in a MizerParams object.