Inverse Lagrangian Analysis of Isotopic Composition

The above analysis has shown that two expressions for interpreting gradients in air isotopic composition, the Keeling plot and the Yakir-Wang expression for distinguishing assimilation and respi- 

To establish the initial specified profile of 5pj for the present scenario, it was assumed that for plant elements, 5, = 5a = 5p = 

This chapter has reviewed canopy-scale inverse methods for inferring distributions of sources and sinks from concentration profiles in the air and has further developed these methods for the interpretation of measurements of profiles of isotopic composition. Canopy-scale inverse methods have been placed in context with 

Several field tests of the IL method have demonstrated that it is a practically useful tool for inferring the canopy source-sink distributions of scalars such as water vapor, heat, CO2, and ammonia. However, there is a continuing need for improvement in the knowledge of the turbulence field in the canopy and its use in determining Dj, and also in the inversion procedure to improve the robustness of the method. 

I am grateful to Nina Buchmann, Graham Farquhar, Jon Lloyd, and Julie Styles for interaction on isotopic issues, to Brian Sawford for very helpful interactions on Lagrangian analysis when sources are concentration-dependent, to Ray Leuning and Tom Denmead for many discussions and for access to field data, and to Damian 

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