Table S1. Parameter values used in simulations, as well as the range of alternative values
explored (in brackets) but not presented in this analysis. Values that are listed as a range refer to
the values at the "temperate" and "tropical" ends of the spatial gradient, and all gradients were
linear. Z, zero sum energy gradient, and NZ, non-zero sum scenarios.
Parameter
Value
Units
[range evaluated]
Environmental gradient
Regional carrying capacity, Kmax
0 - 40
˚C
Z: 4,000 - 40,000
individuals
NZ: 40,000
Strength of environmental selection, ω
3 [1 - 11]
˚C, standard
deviation units
Strength of niche conservatism, σE
1 [1 - 11]
˚C, standard
deviation units
Per individual speciation probability
10-6 [10-7 - 10-5]
probability
Per individual dispersal probability
10-4 [10-6 - 10-2]
probability
0.1
individuals-1
Extinction rate parameter (governing negative
exponential decline of extinction vs abundance)
Maximum number of species
10,000
species
Maximum number of time steps
100,000
time steps
tropical-most bin,
spatial bin (1-10)
Region of origin
temperate-most bin