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1,1

A model for patchy stomatal conductance in homobaric leaves

doi: 10.6062/jcis.2009.01.02.0008(Free PDF)

Authors

Marcus C. Ferraz, Gustavo M. Souza and Carmen P. C. Prado

Abstract

Many studies in the last years showed that, for a wide variety of plants, stomata apertures exhibits spatial temporal patterns in a phenomena known as patchy stomatal conductance. Many attempts were made to build numerical models to explain this complex behavior, but none were able to explain all of behaviors observed in nature. In this work we discuss some limitations of an hydraulic cellular automaton model proposed by Haefner, Buckley & Mott in 1997 (PC&E,20,1997). Besides considering a more realistic geometry, in which the areola are not hydraulically isolated, as in the original model, we show that small changes in the dynamics of individual stomata can lead to patchy behavior.

Keywords

Mathematical modeling, non-linear dynamics, patchy stomatal conductance, plant gas exchange, hysteresis.

References

[1] BUCKLEY TN. 2005. The control of stomata by water balance. NewPhytol., 168: 275-292. 10.1111/j.1469-8137.2005.01543.x

[2] BUCKLEY TN, MOTT KA & FARQUHAR GD. 2003. A hydromechanical and biochemical model of stomatal conductance. Plant Cell Environ., 26: 1767-1785. 10.1046/j.1365-3040.2003.01094.x

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[4] DELWICH MJ & COOKE JR. 1977. An analytic model of the hydraulic aspects of stomatal dynamics. J. Theor. Biol., 69: 113-141.

[5] HAEFNER JW, BUCKLEY TN & MOTT KA. 1997. A spatially explicit model of patchy stomatal responses to humidity. Plant Cell Environ., 20: 1087-1097. 10.1046/j.1365-3040.1997.d01-137.x

[6] MEIDNER H & EDWARDS M. 1975. Direct measurements of turgor pressure potentials of guard cells. J. Exp. Bot., 26: 319-330. 10.1093/jxb/26.3.319

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[8] MOTT KA & BUCKLEY TN. 2000. Patchy stomatal conductance: emergent collective behavior of stomata. Trends Plant Sci., 5: 258-262 10.1016/S1360-1385(00)01648-4

[9] MOTT KA & PEAK D. 2006. Stomatal patchiness and Task-performing Networks. Ann. Bot. 1-8, Advance Access published on November 3, 2006; doi:10.1093/aob/mcl234. 10.1093/aob/mcl234.

[10] PEAK D, WEST JD, MESSINGER SM & MOTT KA. 2004. Evidence for complex, collective dynamics and emergent, distributed computation in plants. Proc. Nat. Acad. Sci. USA, 101: 918-922 10.1073/pnas.0307811100

[11] PIERUSCHKA R, SCHURR U & JAHNKE S. 2005. Lateral gas diffusion inside leaves, J. Exp. Bot. 56: 857-864 10.1093/jxb/eri072

[12] RAND RH & ELLENSON JL. 1989. Dynamics of stomata fields in leaves. Planta, 177: 35-46.

[13] SAXE H. 1979. A structural and functional study of the co-ordinated reactions of individual Commelina communis L. stomata. Amer. J. Bot., 66: 1044-1052.

[14] SOUZA GM, OLIVEIRA RF & CARDOSO VJM. 2004. Temporal dynamics of stomatal conductance of plants under water deficit: can homeostasis be improved by more complex dynamics? Braz. Arch. Biol. Tech., 47: 423-431. 10.1111/j.1469-8137.1987.tb00182.x

[15] SOUZA GM, PINCUS SM & MONTEIRO JAF. 2005. The complexitystability hypothesis in plant gas exchange under water deficit. Braz. J. Plant Physiol., 17: 363-373.

[16] SPENCE RD. 1987. The problem of variability in stomatal responses, particularly aperture variance, to environmental and experimental conditions. New Phytol., 107: 303-315.

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