Difference between revisions of "Evapotranspiration"

Revision as of 16:57, 8 January 2018

Calculation[edit]

Thornthwaite Mather method[edit]

Step 1. Calculate the monthly heat index (i): $i=\left({\frac {T}{5}}\right)^{1.514}$ where: T = mean monthly temperature.

Step 2. Calculate the annual heat index (I): $I=\sum _{i=1}^{12}i$

Step 3. Calculate an uncorrected Potential Evapotranspiration (PET_uncorrected): $PET_{uncorrected}=16\cdot \left({\frac {10\cdot T}{I}}\right)^{\alpha }$

where: α = 6.75 x 10^-7 I³ - 7.71 x 10^-5 I²+ 0.0179 I + 0.49

Step 4. A monthly correction is then applied to account for varying daylight hours and number of days in a month, to find the corrected potential evapotranspiration (PET): $PET=PET_{uncorrected}\cdot {\frac {N}{12}}\cdot {\frac {daylight\ hours}{30}}$

Example[edit]

For the town of Richmond Hill (Lat = 43.87)

	Jan	Feb	Mar	Apr	May	June	July	Aug	Sept	Oct	Nov	Dec
Declination (rad)	-0.372	-0.232	-0.035	0.171	0.330	0.407	0.372	0.239	0.052	-0.157	-0.325	-0.407
Day length (hr)	9	10	12	13	15	15	15	14	12	11	9	9
Temperature (°C)	-6.20	-4.90	-0.30	6.90	13.30	18.70	21.40	20.30	15.90	9.10	3.10	-2.70
i	0.00	0.00	0.00	1.63	4.40	7.37	9.04	8.34	5.76	2.48	0.48	0.00
PET (mm, uncorrected)	0.00	0.00	0.00	29.91	62.44	91.50	106.44	100.33	76.28	40.80	12.19	0.00
days in month	31	28	31	30	31	30	31	31	30	31	30	31
Corrected PET (mm)	0.0	0.0	0.0	33.1	78.3	116.4	136.9	119.3	78.7	38.1	9.6	0.0

@@ Line 19: / Line 19: @@
 <math>PET=PET_{uncorrected}\cdot\frac{N}{12}\cdot\frac{daylight\ hours}{30}</math>
-===Example==
+===Example===
 For the town of Richmond Hill (Lat = 43.87)
@@ Line 25: / Line 25: @@
 !  !! Jan !! Feb !! Mar !! Apr !! May !! June !! July !! Aug !! Sept !! Oct !! Nov !! Dec
 |-
-| Declination (rad) || -0.372 || -0.232 || -0.035 || 0.171 || 0.330 || 0.407 || 0.372 || 0.239 || 0.052 || -0.157 || -0.325 || -0.407
+! Declination (rad) || -0.372 || -0.232 || -0.035 || 0.171 || 0.330 || 0.407 || 0.372 || 0.239 || 0.052 || -0.157 || -0.325 || -0.407
 |-
-| DayLength (hr) || 9 || 10 || 12 || 13 || 15 || 15 || 15 || 14 || 12 || 11 || 9 || 9
+! Day length (hr) || 9 || 10 || 12 || 13 || 15 || 15 || 15 || 14 || 12 || 11 || 9 || 9
 |-
-| T || -6.20 || -4.90 || -0.30 || 6.90 || 13.30 || 18.70 || 21.40 || 20.30 || 15.90 || 9.10 || 3.10 || -2.70
+! Temperature (°C) || -6.20 || -4.90 || -0.30 || 6.90 || 13.30 || 18.70 || 21.40 || 20.30 || 15.90 || 9.10 || 3.10 || -2.70
 |-
-| i || 0.00 || 0.00 || 0.00 || 1.63 || 4.40 || 7.37 || 9.04 || 8.34 || 5.76 || 2.48 || 0.48 || 0.00
+! i || 0.00 || 0.00 || 0.00 || 1.63 || 4.40 || 7.37 || 9.04 || 8.34 || 5.76 || 2.48 || 0.48 || 0.00
 |-
-| PET (mm, uncorrected) || 0.00 || 0.00 || 0.00 || 29.91 || 62.44 || 91.50 || 106.44 || 100.33 || 76.28 || 40.80 || 12.19 || 0.00
+! PET (mm, uncorrected) || 0.00 || 0.00 || 0.00 || 29.91 || 62.44 || 91.50 || 106.44 || 100.33 || 76.28 || 40.80 || 12.19 || 0.00
 |-
-| days in month || 31 || 28 || 31 || 30 || 31 || 30 || 31 || 31 || 30 || 31 || 30 || 31
+! days in month || 31 || 28 || 31 || 30 || 31 || 30 || 31 || 31 || 30 || 31 || 30 || 31
 |-
-| Monthly PET (mm, corrected) || 0.0 || 0.0 || 0.0 || 33.1 || 78.3 || 116.4 || 136.9 || 119.3 || 78.7 || 38.1 || 9.6 || 0.0
+! Corrected PET (mm) || 0.0 || 0.0 || 0.0 || 33.1 || 78.3 || 116.4 || 136.9 || 119.3 || 78.7 || 38.1 || 9.6 || 0.0
 |}

Difference between revisions of "Evapotranspiration"

Revision as of 16:57, 8 January 2018

Calculation[edit]

Thornthwaite Mather method[edit]

Example[edit]

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