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2002. The mathematics of linked optimisation for water and nitrogen use in a canopy. Silva Fennica 36(3): 639-669. We develop, and discuss the implementation of, a mathematical framework for inferring optimal patterns of water and nitrogen use. Our analysis is limited to a time scale of one day and a spatial scale consisting of the green canopy of one plant, and we assume that this canopy has fi xed quantities of nitrogen and water available for use in photosynthesis. The effi ciencies of waterdoi:10.14214/sf.531 fatcat:7rfhyaptnjc73epalo7nwluxvy