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An optimal strategy of stomatal control during a drought period,in plants adapted to a humid climate, is derived by maximizingthe photosynthetic production during the expected duration ofdrought. The expected duration of drought is calculated fromthe probability that rain occurs during a certain period, whichis assumed constant. The underlying plant model describes photosyntheticproduction and the consumption of water from the soil, witha given initial soil water content. Water is consumed throughtranspiration at a rate dependent on water vapour deficit, temperatureand stomatal conductance and carbon is assimilated at a ratedependent on light intensity and stomatal conductance. The optimizationproblem is solved with driving variables and the probabilityof rain corresponding to a Fenno-Scandian climate. The resultingoptimal stomatal control consists of two processes with differenttime constants: (1) daily variation depending on the drivingvariables, and (2) a declining trend as a function of the initialsoil water content and the probability of rain. The result allowsfor a physical interpretation of the so-called cost ofwater used in similar optimization studies. An approximatemodel is derived from the optimal solution, such that the costof water is a function of the soil water content. Photosynthesis; transpiration; stomatal conductance; soil water content; probability of rain; optimal control; drought; model 相似文献
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A transport resistance model for shootroot partitioningby Thornley and a more aggregated partitioning model by Reynoldsand Thornley are compared. Three functional forms of substrateutilization are applied, corresponding to different assumptionson the ability of carbon and nitrogen to compensate one anotherin promoting structural growth. On the basis of simulationsat balanced exponential growth, it is shown that the Reynoldsand Thornley model (in optimal form) is embedded in the Thornleymodel. Davidson's functional balance is studied as a functionof the degree of carbon-nitrogen compensation. The applicabilityof the models and the utilization functions is discussed. Model, shoot-root partitioning, substrate utilization, functional balance 相似文献
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The optimal regulation model by Mäkelä, Berningerand Hari (Annals of Botany 77: 461467, 1996) was appliedto data for photosynthesis and transpiration of Scots pine duringa 22-d drought period. There was a clear decrease in photosynthesisand transpiration during that period. The agreement betweenmodel and photosynthesis data was good. The residuals of photosynthesiswere not systematic with respect to temperature, irradianceor water vapour deficit. However, the model initially overestimatedtranspiration by 50%, although there was a clear linear relationshipbetween measured and estimated values. The results suggest thatthere was no decrease in photosynthetic capacity during theperiod, but a decrease in stomatal conductance was responsiblefor the changes in photosynthesis and transpiration. The observationsare similar to results in the literature. Transpiration; photosynthesis; stomatal conductance; drought; Pinus sylvestris 相似文献
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Reynolds and Thornley have presented a model for the partitioningof newly synthesized dry matter between shoots and roots invegetative plants, which combines a whole-plant functional balancewith an adaptive partitioning pattern. It turns out, however,that the derived partitioning coefficients are only applicableto models with equal turn-over rates for shoot and roots. Itis shown in this paper that the method used for the derivationof these coefficients does not always provide a partitioningpattern that is well-behaved, and a more general derivationis presented which includes the Reynolds and Thornley modelas a special case. Partitioning, growth, models, functional balance, turn-over rates 相似文献
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