parameter	explanation	reference
α	attractiveness scaling parameter	(2.3)
β	cost scaling parameter	(2.3)
δ	additional parameter	(2.10)
ϵ	responsiveness parameter	(2.4)
γ	inverse temperature	(2.6)
κ	cost per unit size	(2.4)
λ	standard deviation of observation noise	(3.1)
σ	noise parameter, equal to $\sqrt{2{\gamma }^{-1}}$	(2.23)
Oi	origin quantity for origin zone i	(2.1)
Dj	destination quantity for destination zone j	(2.2)
Tij	flow from origin zone i to destination zone j	(2.1)
Uij	utility function for a flow from origin zone i to destination zone j	(2.13)
cij	cost of a flow from origin zone i to destination zone j	(2.3)
Wj	size of destination zone j	(2.4)
Xj	attractiveness of destination zone j, given by $\ln W_j$	(2.6)
Yj	observed size of destination zone j	(3.1)
N	number of origin zones	(2.1)
M	number of destination zones	(2.2)