Ground transpiration formula (Water Overlay) - Revision history

Frank@tygron.nl at 11:17, 15 July 2026

2026-07-15T11:17:33Z

← Older revision		Revision as of 11:17, 15 July 2026
Line 75:		Line 75:
	: <math>f_{ts,n}</math> = the [[Water transpiration factor (Water Overlay)\|transpiration factor]] at coming season n, of the buildings (plants) on the surface, or the surface terrain's [[Terrain water transpiration factor (Water Overlay)\|transpiration factor]] if none present.		: <math>f_{ts,n}</math> = the [[Water transpiration factor (Water Overlay)\|transpiration factor]] at coming season n, of the buildings (plants) on the surface, or the surface terrain's [[Terrain water transpiration factor (Water Overlay)\|transpiration factor]] if none present.
	: <math>f_{se,t}</math> = [[Season formula (Water Overlay)\|Season fraction]]. Used for interpolating the transpiration factor.		: <math>f_{se,t}</math> = [[Season formula (Water Overlay)\|Season fraction]]. Used for interpolating the transpiration factor.
	: <math>f_{ts,t}</math> = ~~Can be supplied as four values; it is an~~ interpolated ~~value based on the current and next season~~.		: <math>f_{ts,t}</math> = the interpolated seasonal transpiration factor.
	: <math>e_{w,t}</math> = the [[Evaporation m (Water_Overlay)\|evaporation rate]] of the [[weather]] at time t.		: <math>e_{w,t}</math> = the [[Evaporation m (Water_Overlay)\|evaporation rate]] of the [[weather]] at time t.
	: <math>f_o</math> = the calculated Feddes oxygen stress factor, based on the 3rd and 4th root depths ([[Root depth m (Water Overlay)\|Building]] or [[Terrain root depth m (Water Overlay)\|Terrain]]), the Feddes trapezium interpolation model, and the ground water depth.		: <math>f_o</math> = the calculated Feddes oxygen stress factor, based on the 3rd and 4th root depths ([[Root depth m (Water Overlay)\|Building]] or [[Terrain root depth m (Water Overlay)\|Terrain]]), the Feddes trapezium interpolation model, and the ground water depth.

Frank@tygron.nl at 11:16, 15 July 2026

2026-07-15T11:16:02Z

← Older revision		Revision as of 11:16, 15 July 2026
Line 3:		Line 3:
	[[File:Feddes_trapezium.jpg\|thumb\|right\|400px\|Feddes trapezium indicating for what water levels and by what factor roots of a plant can extract water from the ground.]]		[[File:Feddes_trapezium.jpg\|thumb\|right\|400px\|Feddes trapezium indicating for what water levels and by what factor roots of a plant can extract water from the ground.]]

	The amount a plant, crop or tree evaporates also depends on its growth season. Therefore, the species specific [[Water transpiration (Function Value)\|~~Water~~ transpiration ~~function value~~]] can be set as four [[Season formula (Water Overlay)\|seasonal values]].		The amount a plant, crop or tree evaporates also depends on its growth season. Therefore, the species-specific [[Water transpiration (Function Value)\|transpiration factor]] can be set as four [[Season formula (Water Overlay)\|seasonal values]].

	Last but not least, the calculated evapotranspiration factor is multiplied with the [[Evaporation m (Water Overlay)\|evaporation amount]] at time <math>t</math>, which is configured for a [[Weather (Water Overlay)\|Weather]].		Last but not least, the calculated evapotranspiration factor is multiplied with the [[Evaporation m (Water Overlay)\|evaporation amount]] at time <math>t</math>, which is configured for a [[Weather (Water Overlay)\|Weather]].
Line 81:		Line 81:
	: <math>\Delta t</math> = the computational [[Timestep formula (Water Overlay)\|timestep]] in seconds.		: <math>\Delta t</math> = the computational [[Timestep formula (Water Overlay)\|timestep]] in seconds.
	: <math>d_{b,c}</math> = The ground bottom distance of the cell c, defined by a [[Bottom distance prequel (Water Overlay)\|Bottom distance prequel]] or a general [[Ground_bottom_distance_m_(Water_Overlay)\|GROUND_BOTTOM_DISTANCE_M]] of the Water Overlay.		: <math>d_{b,c}</math> = The ground bottom distance of the cell c, defined by a [[Bottom distance prequel (Water Overlay)\|Bottom distance prequel]] or a general [[Ground_bottom_distance_m_(Water_Overlay)\|GROUND_BOTTOM_DISTANCE_M]] of the Water Overlay.
	: <math>d_{s}</math> = the column height of the saturated zone ~~covered by the roots~~.		: <math>d_{s}</math> = the total thickness (column height) of the saturated zone.
	: <math>d_{r,n}</math> = the nth root depth value, defined by [[Root depth m (Water Overlay)\|building attributes]] or [[Terrain root depth m (Water Overlay)\|terrain attributes]].		: <math>d_{r,n}</math> = the nth root depth value, defined by [[Root depth m (Water Overlay)\|building attributes]] or [[Terrain root depth m (Water Overlay)\|terrain attributes]].
	: <math>h_u</math> = the amount of water in the unsaturated zone.		: <math>h_u</math> = the amount of water in the unsaturated zone.

Frank@tygron.nl at 13:47, 13 July 2026

2026-07-13T13:47:42Z

← Older revision		Revision as of 13:47, 13 July 2026
Line 7:		Line 7:
	Last but not least, the calculated evapotranspiration factor is multiplied with the [[Evaporation m (Water Overlay)\|evaporation amount]] at time <math>t</math>, which is configured for a [[Weather (Water Overlay)\|Weather]].		Last but not least, the calculated evapotranspiration factor is multiplied with the [[Evaporation m (Water Overlay)\|evaporation amount]] at time <math>t</math>, which is configured for a [[Weather (Water Overlay)\|Weather]].

	The ~~transpirated~~ amount is first drawn from the unsaturated zone and then, when the expected amount is not yet reached, from the saturated zone.		The transpired amount is first drawn from the unsaturated zone and then, when the expected amount is not yet reached, from the saturated zone.

	==Formulas==		==Formulas==
Line 76:		Line 76:
	: <math>f_{se,t}</math> = [[Season formula (Water Overlay)\|Season fraction]]. Used for interpolating the transpiration factor.		: <math>f_{se,t}</math> = [[Season formula (Water Overlay)\|Season fraction]]. Used for interpolating the transpiration factor.
	: <math>f_{ts,t}</math> = Can be supplied as four values; it is an interpolated value based on the current and next season.		: <math>f_{ts,t}</math> = Can be supplied as four values; it is an interpolated value based on the current and next season.
	: <math>e_{w,t}</math> = the [[~~Evaporation_m_~~(Water_Overlay)\|evaporation rate]] of the [[weather]] at time t.		: <math>e_{w,t}</math> = the [[Evaporation m (Water_Overlay)\|evaporation rate]] of the [[weather]] at time t.
	: <math>f_o</math> = the calculated Feddes oxygen stress factor, based on the 3rd and 4th root depths ([[Root depth m (Water Overlay)\|Building]] or [[Terrain root depth m (Water Overlay)\|Terrain]]), the Feddes trapezium interpolation model, and the ground water depth.		: <math>f_o</math> = the calculated Feddes oxygen stress factor, based on the 3rd and 4th root depths ([[Root depth m (Water Overlay)\|Building]] or [[Terrain root depth m (Water Overlay)\|Terrain]]), the Feddes trapezium interpolation model, and the ground water depth.
	: <math>f_s</math> = the calculated Feddes saturated zone root update factor, based on the 1st and 2nd root depths ([[Root depth m (Water Overlay)\|Building]] or [[Terrain root depth m (Water Overlay)\|Terrain]]), the Feddes trapezium interpolation model, and the ground water depth.		: <math>f_s</math> = the calculated Feddes saturated zone root update factor, based on the 1st and 2nd root depths ([[Root depth m (Water Overlay)\|Building]] or [[Terrain root depth m (Water Overlay)\|Terrain]]), the Feddes trapezium interpolation model, and the ground water depth.
Line 84:		Line 84:
	: <math>d_{r,n}</math> = the nth root depth value, defined by [[Root depth m (Water Overlay)\|building attributes]] or [[Terrain root depth m (Water Overlay)\|terrain attributes]].		: <math>d_{r,n}</math> = the nth root depth value, defined by [[Root depth m (Water Overlay)\|building attributes]] or [[Terrain root depth m (Water Overlay)\|terrain attributes]].
	: <math>h_u</math> = the amount of water in the unsaturated zone.		: <math>h_u</math> = the amount of water in the unsaturated zone.
	: <math>E_{max}</math> = the potential max ~~evaporation~~.		: <math>E_{max}</math> = the potential max transpiration.
	: <math>E_{u}</math> = the ~~evaporation~~ in the unsaturated zone.		: <math>E_{u}</math> = the transpired amount in the unsaturated zone.
	: <math>E_{p,s}</math> = the potential ~~evaporation~~ in the saturated zone.		: <math>E_{p,s}</math> = the potential transpiration in the saturated zone.
	: <math>f_{ws}</math> = The [[Terrain water storage percentage (Water Overlay)\|WATER_STORAGE_PERCENTAGE]] of the ground terrain type, used here as a fraction.		: <math>f_{ws}</math> = The [[Terrain water storage percentage (Water Overlay)\|WATER_STORAGE_PERCENTAGE]] of the ground terrain type, used here as a fraction.
	: <math>E_{s}</math> = the ~~evaporation~~ in the saturated zone.		: <math>E_{s}</math> = the transpired in the saturated zone.
	: <math>E_{g}</math> = the total ~~evaporation~~ from the ground.		: <math>E_{g}</math> = the total transpired from the ground.

	==Related==		==Related==

Frank@tygron.nl at 13:40, 13 July 2026

2026-07-13T13:40:14Z

← Older revision		Revision as of 13:40, 13 July 2026
Line 1:		Line 1:
	Conceptually, water can ~~evaporate~~ from the ground via ~~crop~~, tree and plant foliage. This is called evapotranspiration. The amount a plant can evaporate depends on the saturation and ground water level, as well as the root structure.		Conceptually, water can transpire from the ground via crops, tree and plant foliage. This is called evapotranspiration. The amount a plant can evaporate depends on the saturation and ground water level, as well as the root structure.
	The factor by which roots can extract water from the ground is modeled using the Feddes trapezium, based on the root depths ([[Root depth m (Water Overlay)\|Building]] or [[Terrain root depth m (Water Overlay)\|Terrain]]).		The factor by which roots can extract water from the ground is modeled using the Feddes trapezium, based on the root depths ([[Root depth m (Water Overlay)\|Building]] or [[Terrain root depth m (Water Overlay)\|Terrain]]).
	[[File:Feddes_trapezium.jpg\|thumb\|right\|400px\|Feddes trapezium indicating for what water levels and by what factor roots of a plant can extract water from the ground.]]		[[File:Feddes_trapezium.jpg\|thumb\|right\|400px\|Feddes trapezium indicating for what water levels and by what factor roots of a plant can extract water from the ground.]]
Line 7:		Line 7:
	Last but not least, the calculated evapotranspiration factor is multiplied with the [[Evaporation m (Water Overlay)\|evaporation amount]] at time <math>t</math>, which is configured for a [[Weather (Water Overlay)\|Weather]].		Last but not least, the calculated evapotranspiration factor is multiplied with the [[Evaporation m (Water Overlay)\|evaporation amount]] at time <math>t</math>, which is configured for a [[Weather (Water Overlay)\|Weather]].

	The ~~evaporated~~ amount is first drawn from the unsaturated zone and then, when the expected amount is not yet reached, from the saturated zone.		The transpirated amount is first drawn from the unsaturated zone and then, when the expected amount is not yet reached, from the saturated zone.

	==Formulas==		==Formulas==

Frank@tygron.nl at 13:02, 13 July 2026

2026-07-13T13:02:53Z

← Older revision		Revision as of 13:02, 13 July 2026
Line 3:		Line 3:
	[[File:Feddes_trapezium.jpg\|thumb\|right\|400px\|Feddes trapezium indicating for what water levels and by what factor roots of a plant can extract water from the ground.]]		[[File:Feddes_trapezium.jpg\|thumb\|right\|400px\|Feddes trapezium indicating for what water levels and by what factor roots of a plant can extract water from the ground.]]

	The amount a plant, crop or tree evaporates also depends on its growth season. Therefore, the species specific [[Water ~~evaporation~~ (Function Value)\|Water ~~evaporation~~ function value]] can be set as four [[Season formula (Water Overlay)\|seasonal values]].		The amount a plant, crop or tree evaporates also depends on its growth season. Therefore, the species specific [[Water transpiration (Function Value)\|Water transpiration function value]] can be set as four [[Season formula (Water Overlay)\|seasonal values]].

	Last but not least, the calculated evapotranspiration factor is multiplied with the [[Evaporation m (Water Overlay)\|evaporation amount]] at time <math>t</math>, which is configured for a [[Weather (Water Overlay)\|Weather]].		Last but not least, the calculated evapotranspiration factor is multiplied with the [[Evaporation m (Water Overlay)\|evaporation amount]] at time <math>t</math>, which is configured for a [[Weather (Water Overlay)\|Weather]].
Line 11:		Line 11:
	==Formulas==		==Formulas==

	This ~~evaporation~~ is calculated per cell. For all ground ~~evaporation~~ calculation, the ground water depth at time t is used.		This transpiration is calculated per cell. For all ground transpiration calculation, the ground water depth at time t is used.

	<math>d_{gw,t} = B_{c} - w_{g,t}</math>		<math>d_{gw,t} = B_{c} - w_{g,t}</math>
Line 39:		Line 39:
	<math> f_{ts,t} = (1.0 - f_{se,t}) \cdot f_{ts,c} + f_{se,t} \cdot f_{ts,n}</math>		<math> f_{ts,t} = (1.0 - f_{se,t}) \cdot f_{ts,c} + f_{se,t} \cdot f_{ts,n}</math>

	Max potential ~~evaporation~~:		Max potential transpiration:

	<math>E_{max} = f_{ts,t} \cdot e_{w,t} \cdot f_o \cdot \Delta t</math>		<math>E_{max} = f_{ts,t} \cdot e_{w,t} \cdot f_o \cdot \Delta t</math>

	~~Evaporation~~ unsaturated:		Transpiration unsaturated:

	<math>E_{u} =		<math>E_{u} =
Line 52:		Line 52:
	</math>		</math>

	Potential ~~evaporation~~ saturated:		Potential transpiration saturated:

	<math>d_{s} = w_{g,t} - ( B_{c} - d_{b,c} )</math>		<math>d_{s} = w_{g,t} - ( B_{c} - d_{b,c} )</math>
Line 60:		Line 60:
	<math>E_{p,s} = (E_{max} - E_{u}) \cdot f_s</math>		<math>E_{p,s} = (E_{max} - E_{u}) \cdot f_s</math>

	~~Evaporation~~ saturated zone:		Transpiration saturated zone:

	<math>E_{s} = max (0.0 , min ( E_{p,s}, d_{s}\cdot f_{ws}, d_r \cdot f_{ws}) ) </math>		<math>E_{s} = max (0.0 , min ( E_{p,s}, d_{s}\cdot f_{ws}, d_r \cdot f_{ws}) ) </math>

	~~Evaporation~~ total is the sum of ~~evaporation~~ in the saturated and unsaturated zone:		Transpiration total is the sum of transpiration in the saturated and unsaturated zone:

	<math>E_g = E_u + E_s</math>		<math>E_g = E_u + E_s</math>

Frank@tygron.nl at 09:48, 8 July 2026

2026-07-08T09:48:44Z

Frank@tygron.nl at 11:33, 5 May 2026

2026-05-05T11:33:30Z

← Older revision		Revision as of 11:33, 5 May 2026
Line 69:		Line 69:

	where		where
	: <math>B_{c}</math> = the datum height of the surface of cell c, set by the [[Elevation (Water Overlay)\|elevation]] or a [[Terrain elevation prequel (Water Overlay)\|Terrain elevation prequel]].		: <math>B_{c}</math> = the datum height of the surface of cell c, set by the [[Elevation model (Water Overlay)\|elevation]] or a [[Terrain elevation prequel (Water Overlay)\|Terrain elevation prequel]].
	: <math>w_{g,t}</math> = the ground water level (datum height) at time t.		: <math>w_{g,t}</math> = the ground water level (datum height) at time t.
	: <math>d_{gw,t}</math> = the depth of the ground water level, which is equal to the column height of the unsaturated zone at time t.		: <math>d_{gw,t}</math> = the depth of the ground water level, which is equal to the column height of the unsaturated zone at time t.

Maxim@tygron.com at 13:42, 16 July 2025

2025-07-16T13:42:32Z

← Older revision		Revision as of 13:42, 16 July 2025
Line 97:		Line 97:
	; Models		; Models
	: [[Ground model (Water Overlay)]]		: [[Ground model (Water Overlay)]]
	: [[~~Evaporation~~ model (Water Overlay)]]		: [[Evapotranspiration model (Water Overlay)]]

	{{article end		{{article end

Maxim@tygron.com: Maxim@tygron.com moved page Ground evaporation formula (Water Overlay) to Ground transpiration formula (Water Overlay)

2025-07-15T10:07:43Z

Maxim@tygron.com moved page Ground evaporation formula (Water Overlay) to Ground transpiration formula (Water Overlay)

← Older revision	Revision as of 10:07, 15 July 2025
(No difference)

Frank@tygron.nl at 14:07, 5 March 2024

2024-03-05T14:07:51Z

← Older revision		Revision as of 11:17, 15 July 2026
Line 75:		Line 75:
	: <math>f_{ts,n}</math> = the [[Water transpiration factor (Water Overlay)\|transpiration factor]] at coming season n, of the buildings (plants) on the surface, or the surface terrain's [[Terrain water transpiration factor (Water Overlay)\|transpiration factor]] if none present.		: <math>f_{ts,n}</math> = the [[Water transpiration factor (Water Overlay)\|transpiration factor]] at coming season n, of the buildings (plants) on the surface, or the surface terrain's [[Terrain water transpiration factor (Water Overlay)\|transpiration factor]] if none present.
	: <math>f_{se,t}</math> = [[Season formula (Water Overlay)\|Season fraction]]. Used for interpolating the transpiration factor.		: <math>f_{se,t}</math> = [[Season formula (Water Overlay)\|Season fraction]]. Used for interpolating the transpiration factor.
	: <math>f_{ts,t}</math> = ~~Can be supplied as four values; it is an~~ interpolated ~~value based on the current and next season~~.		: <math>f_{ts,t}</math> = the interpolated seasonal transpiration factor.
	: <math>e_{w,t}</math> = the [[Evaporation m (Water_Overlay)\|evaporation rate]] of the [[weather]] at time t.		: <math>e_{w,t}</math> = the [[Evaporation m (Water_Overlay)\|evaporation rate]] of the [[weather]] at time t.
	: <math>f_o</math> = the calculated Feddes oxygen stress factor, based on the 3rd and 4th root depths ([[Root depth m (Water Overlay)\|Building]] or [[Terrain root depth m (Water Overlay)\|Terrain]]), the Feddes trapezium interpolation model, and the ground water depth.		: <math>f_o</math> = the calculated Feddes oxygen stress factor, based on the 3rd and 4th root depths ([[Root depth m (Water Overlay)\|Building]] or [[Terrain root depth m (Water Overlay)\|Terrain]]), the Feddes trapezium interpolation model, and the ground water depth.

← Older revision		Revision as of 11:16, 15 July 2026
Line 3:		Line 3:
	[[File:Feddes_trapezium.jpg\|thumb\|right\|400px\|Feddes trapezium indicating for what water levels and by what factor roots of a plant can extract water from the ground.]]		[[File:Feddes_trapezium.jpg\|thumb\|right\|400px\|Feddes trapezium indicating for what water levels and by what factor roots of a plant can extract water from the ground.]]

	The amount a plant, crop or tree evaporates also depends on its growth season. Therefore, the species specific [[Water transpiration (Function Value)\|~~Water~~ transpiration ~~function value~~]] can be set as four [[Season formula (Water Overlay)\|seasonal values]].		The amount a plant, crop or tree evaporates also depends on its growth season. Therefore, the species-specific [[Water transpiration (Function Value)\|transpiration factor]] can be set as four [[Season formula (Water Overlay)\|seasonal values]].

	Last but not least, the calculated evapotranspiration factor is multiplied with the [[Evaporation m (Water Overlay)\|evaporation amount]] at time <math>t</math>, which is configured for a [[Weather (Water Overlay)\|Weather]].		Last but not least, the calculated evapotranspiration factor is multiplied with the [[Evaporation m (Water Overlay)\|evaporation amount]] at time <math>t</math>, which is configured for a [[Weather (Water Overlay)\|Weather]].
Line 81:		Line 81:
	: <math>\Delta t</math> = the computational [[Timestep formula (Water Overlay)\|timestep]] in seconds.		: <math>\Delta t</math> = the computational [[Timestep formula (Water Overlay)\|timestep]] in seconds.
	: <math>d_{b,c}</math> = The ground bottom distance of the cell c, defined by a [[Bottom distance prequel (Water Overlay)\|Bottom distance prequel]] or a general [[Ground_bottom_distance_m_(Water_Overlay)\|GROUND_BOTTOM_DISTANCE_M]] of the Water Overlay.		: <math>d_{b,c}</math> = The ground bottom distance of the cell c, defined by a [[Bottom distance prequel (Water Overlay)\|Bottom distance prequel]] or a general [[Ground_bottom_distance_m_(Water_Overlay)\|GROUND_BOTTOM_DISTANCE_M]] of the Water Overlay.
	: <math>d_{s}</math> = the column height of the saturated zone ~~covered by the roots~~.		: <math>d_{s}</math> = the total thickness (column height) of the saturated zone.
	: <math>d_{r,n}</math> = the nth root depth value, defined by [[Root depth m (Water Overlay)\|building attributes]] or [[Terrain root depth m (Water Overlay)\|terrain attributes]].		: <math>d_{r,n}</math> = the nth root depth value, defined by [[Root depth m (Water Overlay)\|building attributes]] or [[Terrain root depth m (Water Overlay)\|terrain attributes]].
	: <math>h_u</math> = the amount of water in the unsaturated zone.		: <math>h_u</math> = the amount of water in the unsaturated zone.

← Older revision		Revision as of 09:48, 8 July 2026
Line 1:		Line 1:
	Conceptually, water can evaporate from the ground via crop, tree and plant foliage. This is called evapotranspiration. The amount a plant can evaporate depends on the saturation and ground water level, as well as the root structure.		Conceptually, water can evaporate from the ground via crop, tree and plant foliage. This is called evapotranspiration. The amount a plant can evaporate depends on the saturation and ground water level, as well as the root structure.
	The ~~[[Root depth m (Water Overlay)\|~~factor by which roots]] can extract water from the ground is modeled using the Feddes trapezium.		The factor by which roots can extract water from the ground is modeled using the Feddes trapezium, based on the root depths ([[Root depth m (Water Overlay)\|Building]] or [[Terrain root depth m (Water Overlay)\|Terrain]]).
	[[File:Feddes_trapezium.jpg\|thumb\|right\|400px\|Feddes trapezium indicating for what water levels and by what factor roots of a plant can extract water from the ground.]]		[[File:Feddes_trapezium.jpg\|thumb\|right\|400px\|Feddes trapezium indicating for what water levels and by what factor roots of a plant can extract water from the ground.]]

Line 72:		Line 72:
	: <math>w_{g,t}</math> = the ground water level (datum height) at time t.		: <math>w_{g,t}</math> = the ground water level (datum height) at time t.
	: <math>d_{gw,t}</math> = the depth of the ground water level, which is equal to the column height of the unsaturated zone at time t.		: <math>d_{gw,t}</math> = the depth of the ground water level, which is equal to the column height of the unsaturated zone at time t.
	: <math>f_{ts,c}</math> = the [[Water ~~evaporation~~ factor (Water Overlay)\|transpiration factor]] at current season c, of the buildings (plants) on the surface, or the surface terrain's [[~~Terrain_water_evaporation_factor_~~(~~Water_Overlay~~)\|transpiration factor]] if none present.		: <math>f_{ts,c}</math> = the [[Water transpiration factor (Water Overlay)\|transpiration factor]] at current season c, of the buildings (plants) on the surface, or the surface terrain's [[Terrain water transpiration factor (Water Overlay)\|transpiration factor]] if none present.
	: <math>f_{ts,n}</math> = the [[Water ~~evaporation~~ factor (Water Overlay)\|transpiration factor]] at coming season n, of the buildings (plants) on the surface, or the surface terrain's [[~~Terrain_water_evaporation_factor_~~(~~Water_Overlay~~)\|transpiration factor]] if none present.		: <math>f_{ts,n}</math> = the [[Water transpiration factor (Water Overlay)\|transpiration factor]] at coming season n, of the buildings (plants) on the surface, or the surface terrain's [[Terrain water transpiration factor (Water Overlay)\|transpiration factor]] if none present.
	: <math>f_{se,t}</math> = [[Season formula (Water Overlay)\|Season fraction]]. Used for interpolating the transpiration factor.		: <math>f_{se,t}</math> = [[Season formula (Water Overlay)\|Season fraction]]. Used for interpolating the transpiration factor.
	: <math>f_{ts,t}</math> = Can be supplied as four values; it is an interpolated value based on the current and next season.		: <math>f_{ts,t}</math> = Can be supplied as four values; it is an interpolated value based on the current and next season.
	: <math>e_{w,t}</math> = the [[Evaporation_m_(Water_Overlay)\|evaporation rate]] of the [[weather]] at time t.		: <math>e_{w,t}</math> = the [[Evaporation_m_(Water_Overlay)\|evaporation rate]] of the [[weather]] at time t.
	: <math>f_o</math> = the calculated ~~feddes~~ oxygen stress factor, ~~calculated using~~ the 3rd and 4th [[~~Root_depth_m_~~(~~Water_Overlay~~)\|root ~~depths~~]] ~~and~~ the ~~feddes~~ trapezium interpolation model and the ground water depth.		: <math>f_o</math> = the calculated Feddes oxygen stress factor, based on the 3rd and 4th root depths ([[Root depth m (Water Overlay)\|Building]] or [[Terrain root depth m (Water Overlay)\|Terrain]]), the Feddes trapezium interpolation model, and the ground water depth.
	: <math>f_s</math> = the calculated ~~feddes~~ saturated zone root update factor, ~~calculated using~~ the 1st and 2nd [[~~Root_depth_m_~~(~~Water_Overlay~~)\|root ~~depths~~]] ~~and~~ the ~~feddes~~ trapezium interpolation model and the ground water depth.		: <math>f_s</math> = the calculated Feddes saturated zone root update factor, based on the 1st and 2nd root depths ([[Root depth m (Water Overlay)\|Building]] or [[Terrain root depth m (Water Overlay)\|Terrain]]), the Feddes trapezium interpolation model, and the ground water depth.
	: <math>\Delta t</math> = the computational [[Timestep formula (Water Overlay)\|timestep]] in seconds.		: <math>\Delta t</math> = the computational [[Timestep formula (Water Overlay)\|timestep]] in seconds.
	: <math>d_{b,c}</math> = The ground bottom distance of the cell c, defined by a [[Bottom distance prequel (Water Overlay)\|Bottom distance prequel]] or a general [[Ground_bottom_distance_m_(Water_Overlay)\|GROUND_BOTTOM_DISTANCE_M]] of the Water Overlay.		: <math>d_{b,c}</math> = The ground bottom distance of the cell c, defined by a [[Bottom distance prequel (Water Overlay)\|Bottom distance prequel]] or a general [[Ground_bottom_distance_m_(Water_Overlay)\|GROUND_BOTTOM_DISTANCE_M]] of the Water Overlay.
	: <math>d_{s}</math> = the column height of the saturated zone covered by the roots.		: <math>d_{s}</math> = the column height of the saturated zone covered by the roots.
	: <math>d_{r,n}</math> = the nth [[~~Root_depth_m_~~(~~Water_Overlay~~)\|root depth ~~value~~]].		: <math>d_{r,n}</math> = the nth root depth value, defined by [[Root depth m (Water Overlay)\|building attributes]] or [[Terrain root depth m (Water Overlay)\|terrain attributes]].
	: <math>h_u</math> = the amount of water in the unsaturated zone.		: <math>h_u</math> = the amount of water in the unsaturated zone.
	: <math>E_{max}</math> = the potential max evaporation.		: <math>E_{max}</math> = the potential max evaporation.

← Older revision		Revision as of 14:07, 5 March 2024
Line 76:		Line 76:
	: <math>f_{se,t}</math> = [[Season formula (Water Overlay)\|Season fraction]]. Used for interpolating the transpiration factor.		: <math>f_{se,t}</math> = [[Season formula (Water Overlay)\|Season fraction]]. Used for interpolating the transpiration factor.
	: <math>f_{ts,t}</math> = Can be supplied as four values; it is an interpolated value based on the current and next season.		: <math>f_{ts,t}</math> = Can be supplied as four values; it is an interpolated value based on the current and next season.
	: <math>e_{w,t}</math> = the [[Evaporation_m_(Water_Overlay)\|evaporation rate]] of the [[weather]] at time t		: <math>e_{w,t}</math> = the [[Evaporation_m_(Water_Overlay)\|evaporation rate]] of the [[weather]] at time t.
	: <math>f_o</math> = the calculated feddes oxygen stress factor, calculated using the 3rd and 4th [[Root_depth_m_(Water_Overlay)\|root depths]] and the feddes trapezium interpolation model and the ground water depth.		: <math>f_o</math> = the calculated feddes oxygen stress factor, calculated using the 3rd and 4th [[Root_depth_m_(Water_Overlay)\|root depths]] and the feddes trapezium interpolation model and the ground water depth.
	: <math>f_s</math> = the calculated feddes saturated zone root update factor, calculated using the 1st and 2nd [[Root_depth_m_(Water_Overlay)\|root depths]] and the feddes trapezium interpolation model and the ground water depth.		: <math>f_s</math> = the calculated feddes saturated zone root update factor, calculated using the 1st and 2nd [[Root_depth_m_(Water_Overlay)\|root depths]] and the feddes trapezium interpolation model and the ground water depth.
	: <math>\Delta t</math> = the computational [[Timestep formula (Water Overlay)\|timestep]] in seconds.		: <math>\Delta t</math> = the computational [[Timestep formula (Water Overlay)\|timestep]] in seconds.
	: <math>d_{b,c}</math> = The ground bottom distance of the cell c, defined by a [[Bottom distance prequel (Water Overlay)\|Bottom distance prequel]] or a general [[Ground_bottom_distance_m_(Water_Overlay)\|GROUND_BOTTOM_DISTANCE_M]] of the Water Overlay.		: <math>d_{b,c}</math> = The ground bottom distance of the cell c, defined by a [[Bottom distance prequel (Water Overlay)\|Bottom distance prequel]] or a general [[Ground_bottom_distance_m_(Water_Overlay)\|GROUND_BOTTOM_DISTANCE_M]] of the Water Overlay.
	: <math>d_{s}</math> = the column height of the saturated zone covered by the roots		: <math>d_{s}</math> = the column height of the saturated zone covered by the roots.
	: <math>d_{r,n}</math> = the nth [[Root_depth_m_(Water_Overlay)\|root depth value]].		: <math>d_{r,n}</math> = the nth [[Root_depth_m_(Water_Overlay)\|root depth value]].
	: <math>h_u</math> = the amount of water in the unsaturated zone.		: <math>h_u</math> = the amount of water in the unsaturated zone.
	: <math>E_{max}</math> = the potential max evaporation		: <math>E_{max}</math> = the potential max evaporation.
	: <math>E_{u}</math> = the evaporation in the unsaturated zone		: <math>E_{u}</math> = the evaporation in the unsaturated zone.
	: <math>E_{p,s}</math> = the potential evaporation in the saturated zone		: <math>E_{p,s}</math> = the potential evaporation in the saturated zone.
	: <math>f_{ws}</math> = The [[Terrain water storage percentage (Water Overlay)\|WATER_STORAGE_PERCENTAGE]] of the ground terrain type, used here as a fraction.		: <math>f_{ws}</math> = The [[Terrain water storage percentage (Water Overlay)\|WATER_STORAGE_PERCENTAGE]] of the ground terrain type, used here as a fraction.
	: <math>E_{s}</math> = the evaporation in the saturated zone		: <math>E_{s}</math> = the evaporation in the saturated zone.
	: <math>E_{g}</math> = the total evaporation from the ground.		: <math>E_{g}</math> = the total evaporation from the ground.