Discussions about evolutionary change in developmental processes or mo
rphological structures are predicated on specific quantitative genetic
models whose parameters predict whether evolutionary change can occur
, its relative rate and direction, and if correlated change will occur
in other related and unrelated structures. The appropriate genetic mo
del should reflect the relevant genetical and developmental biology of
the organisms, yet be simple enough in its parameters so that deducti
ons can be made and hypotheses tested. As a consequence, the choice of
the most appropriate genetic model for polygenically controlled trait
s is a complex tissue and the eventual choice of model is often a comp
romise between completeness of the model and computational expediency.
Herein, we discuss several developmental quantitative genetic models
for the evolution of development and morphology. The models range from
the classical direct effects model to complex epigenetic models. Furt
her, we demonstrate the algebraic equivalency of the Cowley and Atchle
y epigenetic model and Wagner's developmental mapping model. Finally,
we propose a new multivariate model for continuous growth trajectories
. The relative efficacy of these various models for understanding evol
utionary change in developmental and morphological traits is discussed
. (C) 1994 Wiley-Liss, Inc.