Modelling Phosphorus Retention in Lakes and Reservoirs

Abstract

Steady-state models for the prediction of P retention coefficient (R) in lakes were evaluated using data from 93 natural lakes and 119 reservoirs situated in the temperate zone. Most of the already existing models predicted R relatively successfully in lakes while it was seriously under-estimated in reservoirs. A statistical analysis indicated the main causes of differences in R between lakes and reservoirs: (a) distinct relationships between P sedimentation coefficient, depth, and water residence time; (b) existence of significant inflow-outflow P concentration gradients in reservoirs. Two new models of different complexity were developed for estimating R in reservoirs: R=1:84τ^0.5/(1 + 1.84τ^0.5), where τ is water residence time (year), was derived from the Vollenweider/Larsen and Mercier model by adding a calibrated parameter accounting for spatial P non-homogeneity in the water body, and is applicable for reservoirs but not lakes, and R= 1 − 1.43/[P_in]([P_in]/(1 + τ^0.5))^0.88, where [P_in] is volume-weighted P concentration in all inputs to the water body (µg l⁻¹), was obtained by re-calibrating the OECD general equation, and is generally applicable for both lakes and reservoirs. These optimised models yield unbiased estimates over a large range of reservoir types.