Table 1 Summary of how each delimiting strategy calculates the length of the radius. Where \(\:{y}_{i}\) is the inspector-estimated spread duration of the pest in years for the \(\:i\)th survey round, \(\:{g}_{i}\) is the inspector-estimated spread duration of the pest in generations for the \(\:i\)th survey round, \(\:D\) is the inspector-estimated maximum yearly spread distance of the pest, and \(\:\delta\:\) is the inspector-estimated maximum spread distance of each generation.

From: Assessing delimiting strategies to identify the infested zones of quarantine plant pests and diseases

Delimiting Strategy

How Radius Length is Calculated

In-to-Out (Gamma Year)

\(\:{Radius}_{i}=gamma\left({y}_{i},\:-\frac{\text{l}\text{n}(1-0.95)}{D}\right)\)

In-to-Out (Gamma Gen)

\(\:{Radius}_{i}=gamma\left({g}_{i},\:-\frac{\text{l}\text{n}(1-0.95)}{\delta\:}\right)\)

In-to-Out (Linear)

\(\:{Radius}_{i}={y}_{i}\times\:D\)

Adaptive (Gamma Year)

\(\:{Radius}_{i}=gamma\left({y}_{i},\:-\frac{\text{l}\text{n}(1-0.95)}{D}\right)\)

Adaptive (Gamma Gen)

\(\:{Radius}_{i}=gamma\left({g}_{i},\:-\frac{\text{l}\text{n}(1-0.95)}{\delta\:}\right)\)

Adaptive (Linear)

\(\:{Radius}_{i}={y}_{i}\times\:D\)

Multi-foci

\(\:Radius=D\)