Appendix A. Supplementary data

ETP solution from a set of variable values with a Mathematica script:

$$\begin{aligned} &\text{et}[\text{TA\\_WD\\_HD\\_R\\_R\\_D\\_DY\\_Y\\_LAT\\_]}: \\ &= (0.408\*(4098\*(0.611\*\text{Exp}[17.27\*\text{TA}/(TA+237.3)]))/\text{(TA} \\ &+ 237.3)^2)\*((0.77\*\text{RS})-((4.903\*10^\circ (-9)\*(TA+273)^\circ 4 \\ &\ast(0.34-0.14\*\text{Sqrt}[(0.611\*\text{Exp}[17.27\*\text{TA}/(TA+237.3)])\*\text{HD}]))) \\ &\ast(1.35\*(\text{Min}[\text{RS}/((0.75+0.00002\*\text{H}) \\ &\ast(24\*60/\text{Pi}\*(0.0820)\*(1+0.033\*\text{Co}[2\*\text{Pi}\*\text{DAY}/\text{Y}]) \\ &\ast(( (\text{[Pi]}/2-\text{ArcTan}[(-\text{Tan}[(3.14/180\*\text{LAT}])\*\text{Tan}[(0.409\*\text{Sim}[2\*\text{/Pi}] \\ &\ast \text{DAY}/\text{Y}-1.39])))/(\text{Max}[1-\text{Tan}[(3.14/180\*\text{LAT}]] \times 2 \end{aligned}$$

$$\begin{aligned} & [(0.499 \star \text{Sin}[2 \text{\*} \text{P} \bullet \text{DAY}/\text{Y} - 1.39])]^{\uparrow 2} \ 0.00001 [)^{\uparrow 0.5} ] \\ & \star \text{Sim}[3 \text{ (3.14/180 \star \text{LAT})) \star \text{Sim}[(0.499 \star \text{Sin}[2 \text{\*} \text{P} \bullet \text{DAY}/\text{Y} - 1.39))] \\ & + \text{Co}[(3.14/180 \star \text{LAT})] \star \text{Cas}[(0.499 \star \text{Sin}[2 \text{\*} \text{P} \bullet \text{DAY}/\text{Y} - 1.39))] \\ & \text{Sim}[(\text{P}[2 \text{ - } \text{Arr} \text{Tan}[(-\text{Tan}[(3.14/180 \star \text{LAT})) \star \text{Tan}[(0.499 \\ & \star \text{Sim}[2 \text{\*} \text{P} \bullet \text{DAY}/Y - 1.39])] / ((\text{Max} \text{[1 - } \text{Tan}[(3.14 \star \text{TAT})] \uparrow 2 \\ & \star \text{Tan}[(0.499 \star \text{Sin}[2 \text{\*} \text{P} \bullet \text{DAY}/Y - 1.39)] |^{\uparrow 2} \text{ and } 0.00001 (} 0.5 \text{)])] \downarrow (1 - 0.35))) \\ & + (0.00163 \star (101.3 \star ((\text{TA} + 273 - 0.00654 \text{H})/(\text{TA} + 273)) \uparrow 52.6) / \\ & (2.50 - (0.002361 \star \text{TA})) \* 900 / (\text{TA} + 273)) \* \text{HD} \star ((0.6$$
