MakelaBerningerHari1996

Référence

Makela, A., Berninger, F. and Hari, P. (1996) Optimal control of gas exchange during drought: Theoretical analysis. Annals of Botany, 77(5):461-467.

Résumé

An optimal strategy of stomatal control during a drought period, in plants adapted to a humid climate, is derived by maximizing the photosynthetic production during the expected duration of drought. The expected duration of drought is calculated from the probability that rain occurs during a certain period, which is assumed constant. The underlying plant model describes photosynthetic production and the consumption of water from the soil with a given initial soil water content. Water is consumed through transpiration at a rate dependent on water vapour deficit, temperature and stomatal conductance and carbon is assimilated at a rate dependent on light intensity and stomatal conductance. The optimization problem is solved with driving variables and the probability of rain corresponding to a Fenno-Scandian climate. The resulting optimal stomatal control consists of two processes with different time constants: (1) daily variation depending on the driving variables, and (2) a declining trend as a function of the initial soil water content and the probability of rain. The result allows for a physical interpretation of the so-called 'cost of water' used in similar optimization studies. An approximate model is derived from the optimal solution, such that the 'cost of water' is a function of the soil water content.

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@ARTICLE { MakelaBerningerHari1996,
    AUTHOR = { Makela, A. and Berninger, F. and Hari, P. },
    TITLE = { Optimal control of gas exchange during drought: Theoretical analysis },
    JOURNAL = { Annals of Botany },
    YEAR = { 1996 },
    VOLUME = { 77 },
    PAGES = { 461-467 },
    NUMBER = { 5 },
    NOTE = { 03057364 (ISSN) Cited By (since 1996): 54 Export Date: 24 April 2007 Source: Scopus CODEN: ANBOA doi: 10.1006/anbo.1996.0056 Language of Original Document: English Correspondence Address: Makela, A.; Department of Forest Ecology; University of Helsinki; P.O. Box 24 (Unioninkatu 40) FIN-00014 Helsinki, Finland References: Berninger, F., Hari, P., Optimal regulation of gas exchange: Evidence from field data (1993) Annals of Botany, 71, pp. 135-140; Berninger, F., Ma?kela?, A., Hari, P., Optimal control of gas exchange during drought: Empirical evidence (1996) Annals of Botany, 77, pp. 469-476; Cowan, I.R., Stomatal behaviour and the environment (1977) Advances in Botanical Research, 4, pp. 117-227; Cowan, I.R., Water use and optimization of carbon assimilation (1982) Encyclopedia of Plant Physiology 12 B Physiological Plant Ecology, pp. 589-630. , Lange OL, Nobel CB, Osmond CB, Ziegler H. eds. Berlin: Springer Verlag; Cowan, I.R., Economics of carbon fixation in higher plants (1986) On the Economy of Plant Form and Function, pp. 133-170. , Givnish TJ, ed. Cambridge: Cambridge University Press; Farquhar, G.D., Von Caemmerer, S., Modelling of photosynthetic response to environmental conditions (1982) Encyclopedia of Plant Physiology, 12 B Physiological Plant Ecology, pp. 550-580. , Lange OL, Nobel CB, Osmond CB, Ziegler H, eds. Berlin: Springer Verlag; Givnish, T., Optimal stomatal conductance, allocation of energy between leaves and roots, and the marginal costs of transpiration (1986) On the Economy of Plant Form and Function, pp. 171-213. , Givnish TJ, ed. Cambridge: Cambridge University Press; Gollan, T., Passioura, J.B., Munns, R., Soil water status affects the stomatal conductance of fully turgid wheat and sunflower leaves (1986) Australian Journal of Plant Physiology, 13, pp. 459-464; Guehl, J.M., Aussenac, G., Photosynthesis decrease and stomatal control of gas exchange in Abies alba Mill. in response to vapour pressure difference (1987) Plant Physiology, 83, pp. 316-322; Hari, P., Ma?kela?, A., Korpilahti, E., Holmberg, M., Optimal control of gas exchange (1986) Tree Physiology, 2, pp. 169-175; Karlin, S., (1966) A First Course in Stochastic Processes, p. 13. , London. Academic Press; Khalil, A.A.M., Grace, J., Acclimation to drought in Acer pseudoplatanus L. (sycamore) seedlings (1993) Journal of Experimental Botany, 43, pp. 1591-1602; Luenberger, D., (1979) Introduction to Dynamic Systems, , New York: John Wiley \& Sons; Schulze, E.-D., Turner, N.C., Gollan, T., Shackel, K.A., Stomatal responses to air humidity and to soil drought (1987) Stomatal Function, pp. 311-322. , Zeiger E, Farquhar GD, Cowan IR, eds. Stanford: Stanford University Press; Zhang, J., Davies, W.J., Abscisic acid produced in dehydrating roots may enable the plant to measure the water status of the soil (1989) Plant, Cell and Environment, 12, pp. 73-81. },
    ABSTRACT = { An optimal strategy of stomatal control during a drought period, in plants adapted to a humid climate, is derived by maximizing the photosynthetic production during the expected duration of drought. The expected duration of drought is calculated from the probability that rain occurs during a certain period, which is assumed constant. The underlying plant model describes photosynthetic production and the consumption of water from the soil with a given initial soil water content. Water is consumed through transpiration at a rate dependent on water vapour deficit, temperature and stomatal conductance and carbon is assimilated at a rate dependent on light intensity and stomatal conductance. The optimization problem is solved with driving variables and the probability of rain corresponding to a Fenno-Scandian climate. The resulting optimal stomatal control consists of two processes with different time constants: (1) daily variation depending on the driving variables, and (2) a declining trend as a function of the initial soil water content and the probability of rain. The result allows for a physical interpretation of the so-called 'cost of water' used in similar optimization studies. An approximate model is derived from the optimal solution, such that the 'cost of water' is a function of the soil water content. },
    KEYWORDS = { drought model optimal control Photosynthesis probability of rain soil water content stomatal conductance transpiration Scandia },
    OWNER = { brugerolles },
    TIMESTAMP = { 2007.12.04 },
}

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