# Mathematical Modeling to Estimate Photosynthesis: A State of the Art
## Abbreviations
\begin{tabular}{l l} _CUO_ & Accumulated absorption O\({}_{3}\) Equation (23) \\ \(D\) & Conversion coefficient \(Pg\) Equations (6) and (20); Stem diameter Equation (29) \\ _DO2_ & Dissolved oxygen concentration Equations (35), (36) and (38) \\ \(E\) & Irradiance Equations (13) and (32) \\ _E\({}_{1}\)_ & Light utilization efficiency Equation (3) \\ _Ea_ & Start of photosynthesis saturation Equation (17) \\ _Ec_ & CO\({}_{2}\) utilization efficiency Equation (3) \\ _EUR_ & Radiation use efficiency Equation (34) \\ _EXT_ & Extinction coefficient of PAR inside the cover Equation (34) \\ \(f\) & PS2 fraction Equation (32) \\ _F\({}^{\prime}\)_ & Fluorescence Equation (37) \\ _f(I, T)_ & Function of light and temperature in the respiration of the micro algae Equation (37) \\ _f(age)_ & Age function Equation (31) \\ _f(PPFD)_ & Photosynthetic photon flux density function Equation (31) \\ _f(SWC)_ & Soil water content function Equation (31) \\ _f(T\({}_{1}\))_ & Temperature function Equation (3) \\ _f(T\({}_{a}\))_ & Air temperature function Equation (31) \\ _f(T\({}_{s}\))_ & Soil temperature function Equation (31) \\ _f(VPD)_ & vapor pressure deficit function Equation (31) \\ _F(z)_ & Cumulative density leaf area between the surface of the canopy and \\  & height \(z\) Equation (27) \\ _f\({}_{1}\)_(T)_ & Absolute Maximum mathematical function due to leaf's temperature Equation (5) \\ _f\({}_{2}\)_(a)_ & Function that describes the pattern for the age of the leaf Equation (5) \\ _F\({}_{AO3}\)_ & Response relationship treatment to control photosynthesis Equation (23) \\ _FCO\({}_{2}\)_ & Relative dimensionless factor that estimates the effect on the growth of the \\ _F\({}_{i,d}\)_ & Photosynthesis gross Equation (33) \\ _F\({}^{\prime}\)\({}_{m}\)_ & Fluorescence flux Equation (37) \\ _gb_ & Conductance of the boundary layer of the leaf Equation (23) \\ _g\({}_{min}\)_ & Minimum stomatal conductance Equation (12) \\ _g\({}_{n}\)_ & Stomatal conductance Equation (12) \\ _gs_ & Stomatal conductance Equation (23) \\ \(H\) & Heigh Equation (29) \\ \(i\) & Serial number Equation (26) \\ \(I\) & Light intensity or irradiance Equations (2), (15), (16), (17), (30), (36) and (39) \\ _I\({}^{\prime}\)_ & CO\({}_{2}\) photosynthetic compensation point Equation (18) \\ _i,d_ & Time, day Equation (33) \\ _IAF_ & Leaf's area index Equation (34) \\ _Iav_ & Irradiance Equation (35) \\ _Ic_ & Irradiance concentration Equation (15) \\ _I\({}_{1}\)_ & Irradiance Equation (21) \\ _I\({}_{o}\)_ & Light flux density in foliage Equation (20); Light intensity Equation (27); \\ _I\({}_{p}\)_ & Quanta absorbed by the light Equation (11) \\ _I\({}_{p}\)_ & PAR incidence Equation (9) \\ _IPAR_ & Radiation Equation (34) \\ _I\({}_{ppF}\)_ & Photosynthetic photon flux Equation (25) \\ _I\({}^{\prime}\)\({}_{R}\)_ & PAR intensity of half-saturation Equation (28) \\ \(J\) & Potential rate of full-chain electron transport Equations (10), (12) and (22) \\ \(J\) (CO\({}_{2}\), _I_) & Maximum photosynthesis rate with C\({}_{\text{bs}}\) saturation at a given \\ _J\({}_{m}\)_ & Electron transport potential rate Equation (9) \\ \(k\) & Represents the fractional rate of photosynthesis vs. \\ \(I\) & irradiance Equations (12) and (13) \\ K & Constant rate of photoclimatory changes in cellular chlorophyll \\ \(K\) (_I_) & Light extinction coefficient Equations (6), (20) and (27) \\ \(K\) (_O_) & Function of enzymatic kinetics Equation (12) \\ \end{tabular}