Table 1. List of symbols used in this study.

Symbol	Definition	Unitsa
b	Exponent (or spread parameter) in the power law model	ND
D(s)	Contact distribution	m−2
$\tilde{D}\left(s\right)$	Marginal distribution of D(s − ξ)	m−1
D(s − ξ)	Contact distribution, i.e., two dimensional distribution of inoculum produced by individual at position ξ	m−2
n	Number of generations	T
ξ	Source position	ND
σ2	Variance of the contact distribution	m2
R0	Basic reproduction number, i.e., ratio of total number of daughter lesions per original mother lesions	ND
r	Vanderplank’s logistic rate parameter	t−1
s	Target position where epidemic is evaluated	ND
st	Distance of epidemic wave-front from initial focus at time t	m
s′	Distance	m
s0	Initial focus distance	m
t	Time	T
v	Velocity (or average rate of epidemic expansion)	m t−1
vt	Instantaneous velocity at time t	m t−1
Y	Density of infectious individuals	N m−2
Y0	Initial density of infectious individuals	N m−2
Y′	Pre-specified density of infectious individuals	N m−2
y(t, s)	Density of infectious individuals at time t and position s	N m−2
λ	Distance parameter in the power law distribution	m
τ	Slope of the of spatial regression model	ND
ψ	Slope of the temporal regression model	ND

Notes.

^aND, dimensionless quantity; N, number of individuals; and m, distance.