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This work examines the relevance of the one-dimensional models used to studythe influx and the cumulative uptake of nutrient by roots. The physical modelsstudied are the fixed boundary model (Barber and Cushman 1981) and an improvedversion of our moving boundary model (Reginato et al. 2000). A weight averagedexpression to compute influx on root surface and a generalized formula toestimate the cumulative nutrient uptake are used. The moving boundary modelproblem is solved by the adaptive finite element method. For comparison ofsimulations of influx and cumulative uptake versus observed results six set ofdata extracted from literature are used. For ions without limitations ofavailability fixed and moving boundary models produces similar results withsmall errors. Instead, to low concentrations, the fixed boundary model overpredicts while the moving boundary model always produces better results mainlyfor K. For the P uptake the moving boundary model produces better results onlywhen the concentrations are very low and their predictions are comparable tothe obtained by a 3D-architectural model. The obtained improvements wouldexplain any failures of previous models for ions of low availability.Therefore, our model could be a simpler alternative due to its lowcomputational burden.

Analysis of the nutrient uptake by roots in fixed volume of soil as predicted by fixed boundary, moving boundary and architectural models