“…A mutant’s phenotype i ∈ {1, …, N p } at age a ∈ {1, …, N a } is x ia ∈ R. Moreover, each individual has a number N e of environmental traits that describe her local environment at each age. A mutant’s environmental trait i ∈ {1, …, N e } at age a ∈ {1, …, N a } is ϵ ia ∈ ℝ.. We do not consider the developmental or evolutionary change of the number of traits (i.e., of N g , N p , or N e ), but our framework allows for the modeling of the developmental or evolutionary origin of novel traits (e.g., the origin of a sixth digit where there was five previously in development or evolution; Chan et al, 1995; Litingtung et al, 2002; Müller, 2010) by implementing a suitable codification (e.g., letting x ia mean sixth-digit length, being zero in a previous age or evolutionary time).…”