# Table 1 Table of terms and model parameters.

Parameter Definition
o Single organism execution
e Single environment execution
s o state of o
r o rule of o
s e state of e
w o width of o
w e width of e
t P Poincaré recurrence time
t r Recurrence time of s o
$${t}_{r}^{^{\prime} }$$ Recurrence time of r o
I Innovation calculated as the normalized number of rule transitions
μ Mutation threshold of Case III variant μ = [0, 1)
ξ random noise for Case III variant, ξ = [0, 1)
C Compressibility
k Lyapunov exponent