Many traits vary in a dichotomous manner, although the underlying gene
tic determination is polygenic. The genetic basis of such dimorphic tr
aits can be analyzed using the threshold model, in which it is assumed
that there is a continuously distributed underlying character and the
phenotype is determined by whether the character is above or below a
threshold. Threshold traits frequently vary with environmental variabl
es such as photoperiod, temperature and density. This effect can be ac
counted for using a threshold model in which (1) there is a critical v
alue of the environmental variable at which a genotype switches to the
alternate morph, and (2) switch (threshold) points are normally distr
ibuted in the population. I term this the environmental threshold (ET)
model. I show that the ET model predicts that across environments dif
fering in only one factor the genetic correlation will be 1. This pred
iction is supported by data from three wing dimorphic insects. Evidenc
e is presented that the genetic correlation between environments diffe
ring in two components (temperature and photoperiod) is less than 1.