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Equation for plant growth



Have the results of any research been used to formulate an
equation for plant growth?  For example, the basic "water + CO2 +
light energy = growth" formula; has there ever been a calculated ratio
of CO2/light energy (x amount CO2/y amount of lumens, for example)?
     If such a ratio and equation do exist, have any been formulated
that take into account temperature and nutrients?  For instance, in
the above equation iron would play a role.
     Any help with finding this information would be greatly
appreciated.  Thank you.