Although water is an important determinant of the allocation of materi
al between roots and shoots during growth, and often parallels the eff
ects of nitrogen, few models have explicitly considered allocation in
relation to water supply. We use coordination theory to develop a simp
le exponential model that considers allocation of dry matter between s
hoots and roots during growth in relation to carbon and water supplies
, and accounts for the effects of water stress on growth. We compare c
oordination us. optimization (global and local) versions of the expone
ntial model by examining similarities and differences in model behavio
ur obtained under constant and variable environmental conditions, and
with drastically changing conditions (mild, moderate and severe water
stress). The greatest differences between coordination and optimizatio
n exist in the drastically changing conditions. In a second version of
the model, we remove the restriction of exponential growth and show h
ow coordination principles can be extended to a more complicated struc
ture. The non-exponential model is used to analyse experimental data o
n the effects of different pot sizes (and hence water availability) on
root restriction and plant growth as reported by Thomas and Strain (P
lant Physiology 96: 627-634, 1991). With further refinements, the coor
dination model has potential as a tool to model plant growth in relati
on to water supply under various environmental conditions. (C) 1997 An
nals of Botany Company.