A one-dimensional, time-dependent transport model which includes tidal fluc
tuations has been developed to simulate the barotropic dynamics and the sol
ute evolution in strong tidal estuaries. The model is used to estimate flux
es in a typical macrotidal estuary, the Scheldt in Belgium and The Netherla
nds, The results of the model are compared with those obtained with classic
al flux estimation methods which neglect the nonlinearities of the fluid mo
tion as well as the nonstationary behaviour of solute transport. It is show
n that in macrotidal systems, which are generally characterized by fairly l
ong residence times, both contributions are significant. In particular, the
residual water flow to the coastal waters differs markedly from the freshw
ater discharge and the solute dynamics arising from fluctuating conditions
at the estuarine boundaries is significantly influenced by the history of t
he water flow. It is demonstrated that linear property-salinity plots can b
e obtained in a system characterized by transient (nonsteady-state) conditi
ons. This result allows one to quantify the error associated with the widel
y used 'apparent zero end-member' (AZE) classical flux estimation methodolo
gy. Results demonstrate that the AZE technique, based on the analysis of mi
xing curves, introduces large errors in the estimation of the long-term res
idual constituent flux towards the coastal zone. (C) 1998 Elsevier Science
Ltd. All rights reserved.