Pi = proportion of the landscape occupied by patch type (class) i.
Description MSIDI equals minus the logarithm of the sum, across all patch types, of the proportional abundance of each patch type squared. Note, Pi is based on total landscape area (A) excluding any internal background present.
Units None
Range MSIDI ≥ 0, without limit
MSIDI = 0 when the landscape contains only 1 patch (i.e., no diversity). MSIDI increases as the number of different patch types (i.e., patch richness, PR) increases and the proportional distribution of area among patch types becomes more equitable.
Comments Modified Simpson's diversity index eliminates the intuitive interpretation of Simpson's index as a probability, but transforms the index into one that belongs to a general class of diversity indices to which Shannon's diversity index belongs.