Skip to main content

Table 2 Interpretation of the parameters in Hollings’ equations of functional response types I, II and III

From: Holling meets habitat selection: functional response of large herbivores revisited

Holling type

Use<availability for the entire range of availability if

Use \(=\) availability for

I

\(a<1\)

−

II

\(b>a\)

\(x=a-b\)

III

\(b> a/2\)

\(x_{1,2}= \frac{a}{2} \pm \sqrt{\left( \frac{a}{2}\right) ^2-b^2}\)

  1. a is the maximum proportional use of a habitat, and b the availability of a habitat at which the habitat is selected with half of the maximum probability. These conditions allow a determination of whether the proportional use of a resource unit is disproportionally low (proportional use < proportional availability) over the entire range of availability. If this condition does not hold, the value of availability at which it equals the proportional use can be determined