Because es is temperature dependent, the coefficient k'a would be temperature dependent also.
For studying only the effects of limited water on crop production, Eqs. (5.176) and (5.179) could be simplified because m and E would be constant for a given crop in a given year. The following expression was proposed :
where DMm is maximum or potential dry-matter production (kg ha-1), Tis transpiration for the growing season (mm), and Tm is the maximum or potential transpiration when soil water does not limit transpiration or yield. T/ Tm is an indicator of the relative amount of CO2 exchange and water exchange taking place at the leaf surface through stomata. A generalized production function is described  as follows:
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