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.
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 | \(\:Radius=D\) |