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Graham D. Farquhar (email), Thomas N. Buckley, Jeffrey M. Miller

Optimal stomatal control in relation to leaf area and nitrogen content

Farquhar G. D., Buckley T. N., Miller J. M. (2002). Optimal stomatal control in relation to leaf area and nitrogen content. Silva Fennica vol. 36 no. 3 article id 530. https://doi.org/10.14214/sf.530

Abstract

We introduce the simultaneous optimisation of water-use efficiency and nitrogen-use efficiency of canopy photosynthesis. As a vehicle for this idea we consider the optimal leaf area for a plant in which there is no self-shading among leaves. An emergent result is that canopy assimilation over a day is a scaled sum of daily water use and of photosynthetic nitrogen display. The respective scaling factors are the marginal carbon benefits of extra transpiration and extra such nitrogen, respectively. The simple approach successfully predicts that as available water increases, or evaporative demand decreases, the leaf area should increase, with a concomitant reduction in nitrogen per unit leaf area. The changes in stomatal conductance are therefore less than would occur if leaf area were not to change. As irradiance increases, the modelled leaf area decreases, and nitrogen/leaf area increases. As total available nitrogen increases, leaf area also increases. In all the examples examined, the sharing by leaf area and properties per unit leaf area means that predicted changes in either are less than if predicted in isolation. We suggest that were plant density to be included, it too would further share the response, further diminishing the changes required per unit leaf area.

Keywords
stomatal conductance; optimal leaf area; optimality theory; resource substitution

Author Info
  • Farquhar, Cooperative Research Centre for Greenhouse Accounting and Environmental Biology Group, Research School of Biological Sciences, Australian National University, ACT 2601, Australia E-mail farquhar@rsbs.anu.edu.au (email)
  • Buckley, Cooperative Research Centre for Greenhouse Accounting and Environmental Biology Group, Research School of Biological Sciences, Australian National University, ACT 2601, Australia E-mail tnb@nn.au
  • Miller, Research School of Biological Sciences, Australian National University, ACT 2601, Australia E-mail jmm@nn.au

Received 15 June 2001 Accepted 5 July 2002 Published 31 December 2002

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Available at https://doi.org/10.14214/sf.530 | Download PDF

Creative Commons License CC BY-SA 4.0

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Buckley T. N., Miller J. M. et al. (2002) The mathematics of linked optimisation for water.. Silva Fennica vol. 36 no. 3 article id 531
Farquhar G. D., Buckley T. N. et al. (2002) Optimal stomatal control in relation to leaf are.. Silva Fennica vol. 36 no. 3 article id 530