A MODEL OF WATER FLOW THROUGH GROWING PLANTS

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A set of differential-algebraic equations was derived and a computer model called PSIRC (pronounced "surk") is presented to study the flow of water through growing annual plants. The model employs an electrical analogy whereby water potential corresponds to voltage, water flow corresponds to current, and resistances and capacitances are defined accordingly. The effects of diurnal changes in organ water uptake on turgor pressure and osmotic potential are modeled using capacitance functions; and the effects of organ growth on these processes are modeled using the logic of water supply and demand. For a seven-day field test during a drying period after an irrigation event, the model performed well when realistic parameters were obtained for Abutilon theophrasti L., Datura stramonium, L., and Xanthium strumarium L., Both measurements and simulations showed that A. theophrasti displays distinctly different behavior for supplying the transpiratory demand for water than does D. stramonium. In particular, A. theophrasti has: 1) a much higher root hydraulic resistance; 2) a larger hydraulic resistance between the xylem and the leaf symplast; and 3) a much lower saturated leaf osmotic potential than the other species. All else being equal, 1), 2), and 3) force A. theophrasti to operate at lower leaf water potentials than D. stramonium or X. strumarium. Simulations also suggest that diurnal osmotic adjustment and diurnal variation in root resistance are necessary to prevent wilting in all three species. Further implications, potential uses and extensions of the model are discussed.
九州大学の論文

A MODEL OF WATER FLOW THROUGH GROWING PLANTS

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