Heterochrony, evolutionary changes in developmental rates and timing, is a
key concept in the construction of a synthesis of development and evolution
. Heterochronic changes in vertebrate evolution have traditionally been ide
ntified through plesiomorphic-apomorphic comparisons of bone growth. This m
ethodological framework assumes that observed heterochronies are the outcom
e of dissociations of developmental processes in time. Recent findings of n
on-heterochronic developmental changes underlying morphological heterochron
y invalidate this assumption. In this paper, a function for bone growth (at
the organ level) has been mathematically deduced from the underlying devel
opmental mechanisms. The temporal domain of the model spans from the time a
t maximum growth rate, after the formation of growth plates, to the time at
atrophy of the proliferating stratum of cells. Three organizational levels
were considered: (a) cell kinetics of endochondral ossification, (b) varia
tion of bone growth rates and (c) variation of accumulated bone growth with
increasing age. This quantitative model provides an excellent tool to deal
with the problem of the developmental basis of morphological change. I hav
e modelled potential evolutionary changes on the system at different levels
of biological organization. This new framework involves an epistemological
shift in heterochronic analysis from a pattern-oriented inductive way to a
process-oriented deductive way. The analysis of the relationships between
the evolutionary alterations of endochondral ossification and the morpholog
ical expression of these changes reveals that observed pattern heterochroni
es can be the outcome of different process heterochronies. Moreover, I disc
uss at length the heteroposic hypothesis, that evolutionary changes in the
tight regulation of the amount of protein synthesized by a cell population
during development would underlie acceleration or deceleration in cases of
evolutionary changes in the initial number of proliferating cells at growth
plates. Future research on the genetic basis of process heterochronies and
heteroposies will complete our understanding of these evolutionary phenome
na. (C) 2000 Academic Press.