Table 1. Mathematical symbols used to calculate different intensities as illustrated in Eqs 3–7 as described by Aldwaik and Pontius (2012).

Symbol	Description
T	number of time points
γ t	year at time point t
t	index for the initial time point of an interval [γt−γt+1],where t ranges from 1 to T−1
J	number of categories
i	index for a category at the initial time point of an interval
j	index for a category at the latter time point of an interval
n	index of the gaining category for the selected transition
C tij	size of transition from category i to category j during interval [γt−γt+1]
S t	annual change during interval [γt−γt+1]
G tj	intensity of annual gain of category j during interval [γt−γt+1] relative to size of category j at time t+1
L ti	intensity of annual loss of category i during interval [γt−γt+1] relative to size of category i at time t
R tin	intensity of annual transition from category i to category n during interval [γt−γt+1] relative to size of category i at time t
W tn	uniform intensity of annual transition from all non-n categories to category n during interval [γt−γt+1] relative to size of all non-n categories at time t