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{{ComponentDescriptionTemplate
{{ComponentDescriptionTemplate
|Reference=Nilsson et al., 2005; Alcamo et al., 2003; Davies et al., 2013; Pastor et al., submitted;
|Reference=Nilsson et al., 2005;Alcamo et al., 2003;Davies et al., 2013;Pastor et al., 2014;Bondeau et al., 2007;Sitch et al., 2003;Gerten et al., 2004;Rost et al., 2008;Biemans et al., 2013
|Description=The [[LPJmL model|LPJmL model]] simulates the global carbon and water balances as part of the dynamics of natural vegetation and agricultural production systems. Because of the coupling of LPJmL to IMAGE, the carbon cycle, natural vegetation, crop production ([[Natural vegetation and carbon cycle]] and [[Crop and grass]]), land-use allocation ([[Forest management]]) and hydrology can be modelled in a consistent way.
}}
<div class="page_standard">
 
In IMAGE, the hydrological cycle is represented by LPJmL ([[Bondeau et al., 2007]]; [[Gerten et al., 2013]]; [[Schaphoff et al., 2018a]]), which simulates the global hydrological cycle as part of the dynamics of natural vegetation and agricultural production systems. Because LPJmL is linked to IMAGE, there is consistency in the way the [[Carbon cycle and natural vegetation|carbon cycle, natural vegetation]] dynamics, [[Crops and grass|crop growth and production]], [[land-use allocation]] and the water balance are modelled.
 
Data on annual [[land cover and land use]] are used as input to LPJmL, including information on the location of irrigated areas and crop types (Figure Flowchart and Input/Output Table at [[Water|Introduction part]]). This affects the amount of water that evaporates and runs off, as well as the amount of water needed for irrigated crops during the (simulated) growing season. Simultaneously, information on water availability and potential yields calculated by LPJmL is taken into account in the [[Land-use allocation]] model to identify suitable locations to expand irrigated areas. From the energy module, LPJmL receives water demands for industries, households and electricity. Together with water for irrigation these make up the total water demands in LPJmL.
 
Climate is used as input in LPJmL to determine potential evapotranspiration, and the precipitation input to the water balance ([[Gerten et al., 2004]]). The [[Crops and grass]] module, which is also part of LPJmL, calculates irrigation water demand based on crop characteristics, soil moisture and climate. If the amount of water available for irrigation is limited, water stress will occur which leads to reduction of crop yields calculated by the [[Crops and grass|crop and grassland]] model.
 
===The natural hydrological cycle===
The Hydrology module in LPJmL consists of a vertical water balance ([[Gerten et al., 2004]];[[Schaphoff et al., 2013]]) and a lateral flow component ([[Rost et al., 2008]]) that are simulated at 0.5 degree resolution in daily time steps (Figure Flowchart). The soil in each grid cell is represented by a five-layer soil column of 0.2, 0.3, 0.5, 1.0  and 1.0 m depth, partly covered with natural vegetation or crops.
 
The potential evapotranspiration rate in each grid cell depends primarily on net radiation and temperature, and is calculated using the Priestley-Taylor approach ([[Gerten et al., 2004]]). The actual evapotranspiration is calculated as the sum of three components: evaporation of water stored in the canopy (interception), bare soil evaporation and plant transpiration ([[Gerten et al., 2004]]). Water storage in the canopy is a function of vegetation type, leaf area index ({{abbrTemplate|LAI}}) and precipitation amount. Plant transpiration is modelled as the minimum of atmospheric demand and plant water supply. Plant water supply depends on the plant-dependent maximum transpiration rate and relative soil moisture. Soil evaporation occurs in the proportion of land in the grid cell that is not covered by vegetation. It equals potential evaporation when the soil moisture of the upper 20 cm is at field capacity, and declines linearly with relative soil moisture.  


===The ‘natural’ hydrological cycle===
Precipitation reaching the soil (throughfall, precipitation minus interception) either accumulates as snow or infiltrates into the soil. Snowmelt is calculated using a simple degree-day method ([[Gerten et al., 2004]]). The soil is parameterised as a bucket model. The status of soil moisture of the soil layers is updated daily, accounting for throughfall, snowmelt, evapotranspiration, percolation and runoff. Percolation rates for the soil layers depend on soil type and decline exponentially with soil moisture. Total runoff is calculated as water in excess of field capacity from the soil layers and water percolating through the second soil layer. The current version of LPJmL has no explicit representation of groundwater recharge, but a groundwater scheme is under development. The daily (subsurface) runoff includes the renewable fraction of groundwater, but without any time delay.
The hydrological module in the LPJmL model consists of a vertical water balance ([[Gerten et al., 2004]]) and a lateral flow component ([[Rost et al., 2008]]) (see flowchart (a) on the right), which are run at 0.5 degree resolution in time steps of one day. The soil in each grid cell is represented by a two-layer soil column of 0.5 and 1 metre depth, respectively, partly covered with natural vegetation or crops.
The potential evaporation rate in each grid cell depends primarily on net radiation and temperature, and is calculated using the Priestley-Taylor approach ([[Gerten et al., 2004]]). The actual evapotranspiration is calculated as the sum of three components: evaporation of intercepted precipitation, bare soil evaporation and plant transpiration. ([[Gerten et al., 2004]]).  
The water storage in the canopy is a function of vegetation type, leaf area index ([[HasAcronym::LAI]]) and precipitation amount. Interception evaporation occurs at potential evaporation rate, during the fraction of the daytime that the canopy is wet.
Plant transpiration is modelled as the minimum of atmospheric demand and plant water supply. Plant water supply depends on the plant-dependent maximum transpiration rate and relative soil moisture. Soil evaporation occurs in the fraction of land in the grid cell that is not covered by vegetation. Soil evaporation equals potential evaporation when the soil moisture of the upper 20 cm is at field capacity, and declines linearly with relative soil moisture.  


Precipitation reaching the soil (throughfall, precipitation minus interception) either accumulates as snow (if T<0 °C) or (if T>0 °C) infiltrates into the soil. Snowmelt is calculated using a simple degree-day method ([[Gerten et al., 2004]]).
All runoff is routed daily through a gridded river network, representing a system of rivers, natural lakes and reservoirs, using a simple routing algorithm ([[Rost et al., 2008]]). Local runoff is added to surface water storage in the cell, and subsequently flows downstream at a constant flow velocity of 1 m s-1 until reaching a lake or reservoir. Water accumulates in lakes and reservoirs, and outflow depends on actual storage relative to the maximum storage capacity (for lakes) and the operational purpose of the reservoir ([[Biemans et al., 2011]]). For man-made reservoirs, see further below ([[Biemans et al., 2011]])
The soil is parameterised as a simple bucket model. The status of soil moisture of the two soil layers is updated daily, accounting for throughfall, snowmelt, evapotranspiration, percolation and runoff. Percolation rates for the two soil layers depend on soil type and decline exponentially with soil moisture. Total runoff is calculated as the excess water above field capacity from the two soil layers and the water percolating through the second soil layer. The current version of the LPJmL model, has no explicit representation of groundwater recharge, but a simple groundwater scheme is under development. The annual runoff includes the sustainable amount of groundwater, but without any time delay.


All runoff is routed through a gridded river network, representing a system of rivers, naturally formed lakes and reservoirs, using a simple routing algorithm ([[Rost et al., 2008]]). The local runoff is added to the surface water storage in the cell, and is subsequently flowing downstream with a constant flow velocity of 1 m s<sup>-1</sup> until it reaches a lake or reservoir. Water accumulates in the lakes and reservoirs, and outflow depends on the actual storage relative to the maximum storage capacity (for lakes) and the operational purpose of the reservoir (for man-made reservoirs, see the next section) ([[Biemans et al., 2011]])
===Supply and demand for irrigation water===
Water availability and demand in agriculture is simulated with LPJmL’s irrigation module and an algorithm to simulate the operation of large reservoirs to supply water to irrigated areas ([[Biemans et al., 2013]]).


===Human interactions with the global water cycle===
The irrigation demand module (Figure Flowchart) is described in detail by Rost et al. ([[Rost et al., 2008|2008]]). Crop net irrigation demand is defined as the minimum atmospheric evaporative demand and the amount of water needed to fill the soil to field capacity. The irrigation withdrawal demand – the gross demand –is higher than the net water demand due to losses through evaporation, interception and conveyance. Thus, the quantity of water demanded by crops (water consumption) is always less than the quantity withdrawn (water use). This gross demand is calculated as the product of the crop irrigation demand and an  irrigation efficiency that depends on the irrigation system (sprinker, surface or drip) that is allocated per country, as well as local soil characteristics ([[Jägermeyr et al., 2015]]).


====Irrigation and demand for irrigation water====
Irrigation water is extracted from the rivers and lakes in the grid cell or a neighbouring grid cell. If these local surface water sources cannot meet the total demand, water is extracted from nearby reservoirs, if available. Finally, there is an option to supply from an unlimited source that can be interpreted as non-sustainable groundwater extraction or water imported from another basin. By excluding these water sources in a series of model runs, irrigation water supply and crop production can be attributed to different water sources.
To simulate water availability and demand related to agriculture, the LPJmL model includes an irrigation algorithm ([[Rost et al., 2008]]) and one that simulates the operation of large reservoirs to supply water to irrigated  areas ([[Biemans et al., 2011]]).
The irrigation demand module (see flowchart (b) on the right) is described in detail by [[Rost et al., 2008]]. The crop irrigation demand for an irrigated crop is defined as the minimum of atmospheric evaporative demand and the amount of water needed to fill up the soil to field capacity. The irrigation withdrawal demand is subsequently calculated as the product of the crop irrigation demand and a country-specific irrigation efficiency factor that reflects the type of irrigation system ([[Rost et al., 2008]]). Irrigation water is extracted from the rivers and lakes in the grid cell or a neighbouring grid cell. If those local surface water sources cannot satisfy the total demand, water will be extracted from nearby reservoirs, if available. Finally, water can be supplied from an unlimited source of water that can be interpreted as non-sustainable groundwater or water imported from another basin.
By subsequently excluding these water sources in a series of model runs, it is possible to attribute irrigation water supply and crop production to different sources of water.
Some of the water withdrawn for irrigation is lost during transport from withdrawal point to irrigated field. The magnitude of these losses depends on the type of conveyance system (e.g. open channel or pipeline) and is determined using a country-specific conveyance efficiency factor ([[Rost et al., 2008]]).  Therefore, the amount of water applied to a field is always lower than the amount of water withdrawn, but in case of no water stress, still higher than the crop irrigation demand.  


====Large reservoirs====
===Large reservoirs===
Around 50% of global river systems are regulated by dams, and most of them are in basins where irrigation and economic activities take place ([[Nilsson et al., 2005]]). Approximately a third of all large dams primarily have been built for irrigation purposes. Therefore, to adequately estimate agricultural water use, the use of man-made reservoirs has been taken into account.
Some 50% of global river systems are regulated by dams, most of which are in basins where there is irrigation and economic activity ([[Nilsson et al., 2005]]). The main purpose of approximately one-third of all large reservoirs is irrigation. Thus, in estimating agricultural water use, man-made reservoirs have to be taken into account.  
The reservoir operation module of the LPJmL model ([[Biemans et al., 2011]]) distinguishes three types of reservoirs:  
The reservoir operation module in LPJmL ([[Biemans et al., 2011]]) distinguishes three types of reservoirs: reservoirs used primarily for irrigation; reservoirs used primarily for other purposes (e.g., hydropower and flood control) but also for irrigation; and reservoirs not used for irrigation. Each type of reservoir is managed differently. The outflow of irrigation reservoirs follows the temporal pattern of irrigation demand, whereas the other reservoirs are intended to release equal quantities of water throughout the year. Water from irrigation reservoirs is supplied to downstream irrigated areas.
#reservoirs that are primarily used for irrigation;  
#reservoirs that are primarily used for other purposes (e.g. hydropower, flood control) but are also used for irrigation;
#reservoirs that are not used for irrigation.  
The management of these reservoirs varies per type. The outflow of irrigation reservoirs follows the temporal pattern of irrigation demand, whereas the other reservoirs are intended to release their water in equal amounts throughout the year. Water from irrigation reservoirs is supplied to downstream irrigated areas (for details, see [[Biemans et al., 2011]]).


===Water demand in other sectors===
===Water demand in other sectors===
Water demands for electricity, industries and households are calculated in <nowiki>[[TIMER model version overview| TIMER]]</nowiki>, following the method developed in [[Bijl et al., 2016]]. All three demands are calculated in separate sub-models, and are the product of an activity level, the water intensity of that activity, and efficiency factors. Future demands are based on historical water use obtained from AQUASTAT, and for the industry sector partly on the WATERGAP model ([[Florke et al., 2013]]). For electricity, the cooling water demands depend on the waste heat of power plants, and therefore on the fuel and power plant type determined in the [[Energy supply]] module. It also depends on the cooling type and efficiency. 


The IMAGE-LPJmL model only calculates agricultural water demand internally, hence water demand in other sectors (household, livestock, manufacturing and electricity) is calculated separately. For household and manufacturing sectors  data and algorithms are adopted from the WaterGAP model ([[Alcamo et al., 2003]]). For the electricity sector, a process-based estimation is used, based on the study by  ([[Davies et al., 2013]]), and livestock demand follows from the number of heads, estimated in the livestock production model (see [[Livestock systems]]), with the water demand per head adjusted for climate conditions. Domestic demand is a function of population size and per-capita income, corrected for the share of the population without access to a piped water supply (see [[Human development]]). Manufacturing demand is a function of industrial value added, corrected for changes in sector composition; for example, the structural change factor also used for energy demand (see [[Energy supply and demand]]). For the electricity sector, a technology-based approach was adopted from the study by ([[Davies et al., 2013]]). The type of power plant (e.g. standard steam cycle, combined steam cycle) determines the demand for cooling capacity. Cooling demand is also corrected for cogeneration of heat and power, as those plants require far less cooling capacity. In addition, the type of cooling facility in place determines how much water is required. Once-through cooling systems use large volumes of surface water that are returned almost entirely to the water body that they were extracted from, albeit at an elevated temperature. Wet cooling towers exploit the evaporation heat capacity of water and, hence, require much lower water volumes. However, a significant part of the cooling water evaporates during the process and does not return to the original water body. In some regions, cooling ponds are used, where cooling water is pumped and recycled in a closed loop, with water demand characteristics somewhere in-between the once-through and wet tower cooling systems. Finally, dry cooling systems are deployed that use air as a coolant and, therefore, require no cooling water at all. Based on data from ([[Davies et al., 2013]]), market shares of types of cooling systems – for each power plant type distinguished in [[TIMER model|TIMER]], in each world region – are combined with energy input requirements to arrive at the total water demand for the electricity sector.
Once-through cooling systems use large volumes of surface water that are returned almost entirely to the water body from which they were extracted, albeit at an elevated temperature. Wet cooling towers exploit the evaporation heat capacity of water and, thus require much lower water volumes. However, a significant part of the cooling water evaporates during the process and does not return to the original water body. In some regions, cooling ponds are used, where cooling water is pumped and recycled in a closed loop, with water demand somewhere between the once-through and wet tower cooling systems. Finally, dry cooling systems are deployed that use air as a coolant and thus do not require cooling water.  The water demands are based on [[Macknick et al., 2011]], and transformed to water demand per unit of excess heat. Municipal and industrial water demands are functions of population size and Industry Value Added (IVA), respectively. They are influenced by GDP per capita and assumptions on efficiency improvements.  


In the LPJmL model, the water needed in other sectors is extracted from local surface waters, if available (rather than from reservoirs). Meeting the demand from these sectors receives priority over water withdrawal for irrigation.
All non-agricultural water demands are calculated at the regional scale on a yearly timestep and subsequently downscaled to 0.5x0.5 degree grid cells using spatial explicit population data.  
The current version of IMAGE-LPJmL does not take into account the water needs of ecosystems, or other uses, such as shipping or recreation. However, a new module to calculate environmental flow requirements is under development ([[Pastor et al., submitted]]). By using this  module, water withdrawals will be constrained so that a minimal environmental flow is guaranteed, and the module also will be used to identify possible areas of conflict between water users.


====Impact indicators====
===Water extractions===
Water stress is often presented as a spatially and temporally averaged water withdrawal-to-availability ratio, typically at basin or country level. The amount of people living under water stress is estimated by overlaying a water-stress map with one of population density. Those indicators are used to present IMAGE-LPJmL results (e.g. in the [[OECD Environmental Outlook to 2050 (2012) project|OECD Environmental Outlook (2012)]], see figure on the left) but they mask the potential occurrence of water shortages on a short-term or sub-basin scale. Therefore, water stress should also be calculated at higher spatial and temporal resolutions (see e.g. [[Biemans, 2012]]).  
Water requirements in other sectors are extracted from local surface water, if available (rather than from reservoirs). Meeting the demand from these sectors receives priority over water withdrawal for irrigation.
The impacts of water stress differ per sector, but the above described indicators do not provide insight into those impacts. Apart from the general water stress indicators, the model also considers production reductions in irrigated agriculture due to limited water availability as an indicator of agricultural water stress ([[Biemans, 2012]]).
</div>{{DisplayFigureTemplate|Baseline figure Water}}
}}
 
=== Environmental flow requirements ===
Environmental Flow Requirements (EFRs) are defined as the quantity, timing and quality of water flows required to sustain freshwater and estuarine ecosystems ([[IRF, 2007]]). While these are difficult to quantify on a global scale, not including them at all can lead to an overestimation of available resources. Several global studies have therefore applied a proxy value, through means of a minimum discharge requirement ([[Gerten et al., 2013]]; [[Richter et al., 2011]]; [[Pastor et al., 2019]]; [[Jägermeyr et al., 2017]]). In IMAGE, EFRs are implemented following the methodology as developed by [[Pastor et al., 2014]]. This method is based on maintaining a percentage of the ‘pristine’ flow, which is the discharge without recent (i.e., less than 50 years) land-use developments and without withdrawals for irrigation and other sectors. <div class="page_standard">
===Impact indicators===
 
Water stress is often presented as the withdrawal-to-availability ratio at basin or country level. The population living with water stress is estimated by overlaying such a water-stress (or water availability) map with a population density map. These indicators are used to present IMAGE-LPJmL results (for instance, in the [[OECD Environmental Outlook to 2050 (2012) project|OECD Environmental Outlook]], see Figure) but they mask the potential occurrence of water shortages in the short-term or on sub-basin scale. Thus, water stress should also be calculated at higher spatial and temporal resolutions, as can principally be done with LPJmL (see [[Biemans, 2012]]).  
 
Other water related impacts that can be addressed with IMAGE are impacts of water shortage on yields, and the impact of climate on aridity (which is the ratio between rainfall and potential evapotranspiration). Impacts of efficiency improvements in irrigation and rainwater management can be analyzed through their effects on these indicators, see for example also [[Jägermeyr et al., 2017]].  
</div>

Latest revision as of 18:21, 19 November 2021

Model description of Water

In IMAGE, the hydrological cycle is represented by LPJmL (Bondeau et al., 2007; Gerten et al., 2013; Schaphoff et al., 2018a), which simulates the global hydrological cycle as part of the dynamics of natural vegetation and agricultural production systems. Because LPJmL is linked to IMAGE, there is consistency in the way the carbon cycle, natural vegetation dynamics, crop growth and production, land-use allocation and the water balance are modelled.

Data on annual land cover and land use are used as input to LPJmL, including information on the location of irrigated areas and crop types (Figure Flowchart and Input/Output Table at Introduction part). This affects the amount of water that evaporates and runs off, as well as the amount of water needed for irrigated crops during the (simulated) growing season. Simultaneously, information on water availability and potential yields calculated by LPJmL is taken into account in the Land-use allocation model to identify suitable locations to expand irrigated areas. From the energy module, LPJmL receives water demands for industries, households and electricity. Together with water for irrigation these make up the total water demands in LPJmL.

Climate is used as input in LPJmL to determine potential evapotranspiration, and the precipitation input to the water balance (Gerten et al., 2004). The Crops and grass module, which is also part of LPJmL, calculates irrigation water demand based on crop characteristics, soil moisture and climate. If the amount of water available for irrigation is limited, water stress will occur which leads to reduction of crop yields calculated by the crop and grassland model.

The natural hydrological cycle

The Hydrology module in LPJmL consists of a vertical water balance (Gerten et al., 2004;Schaphoff et al., 2013) and a lateral flow component (Rost et al., 2008) that are simulated at 0.5 degree resolution in daily time steps (Figure Flowchart). The soil in each grid cell is represented by a five-layer soil column of 0.2, 0.3, 0.5, 1.0 and 1.0 m depth, partly covered with natural vegetation or crops.

The potential evapotranspiration rate in each grid cell depends primarily on net radiation and temperature, and is calculated using the Priestley-Taylor approach (Gerten et al., 2004). The actual evapotranspiration is calculated as the sum of three components: evaporation of water stored in the canopy (interception), bare soil evaporation and plant transpiration (Gerten et al., 2004). Water storage in the canopy is a function of vegetation type, leaf area index (LAI) and precipitation amount. Plant transpiration is modelled as the minimum of atmospheric demand and plant water supply. Plant water supply depends on the plant-dependent maximum transpiration rate and relative soil moisture. Soil evaporation occurs in the proportion of land in the grid cell that is not covered by vegetation. It equals potential evaporation when the soil moisture of the upper 20 cm is at field capacity, and declines linearly with relative soil moisture.

Precipitation reaching the soil (throughfall, precipitation minus interception) either accumulates as snow or infiltrates into the soil. Snowmelt is calculated using a simple degree-day method (Gerten et al., 2004). The soil is parameterised as a bucket model. The status of soil moisture of the soil layers is updated daily, accounting for throughfall, snowmelt, evapotranspiration, percolation and runoff. Percolation rates for the soil layers depend on soil type and decline exponentially with soil moisture. Total runoff is calculated as water in excess of field capacity from the soil layers and water percolating through the second soil layer. The current version of LPJmL has no explicit representation of groundwater recharge, but a groundwater scheme is under development. The daily (subsurface) runoff includes the renewable fraction of groundwater, but without any time delay.

All runoff is routed daily through a gridded river network, representing a system of rivers, natural lakes and reservoirs, using a simple routing algorithm (Rost et al., 2008). Local runoff is added to surface water storage in the cell, and subsequently flows downstream at a constant flow velocity of 1 m s-1 until reaching a lake or reservoir. Water accumulates in lakes and reservoirs, and outflow depends on actual storage relative to the maximum storage capacity (for lakes) and the operational purpose of the reservoir (Biemans et al., 2011). For man-made reservoirs, see further below (Biemans et al., 2011)

Supply and demand for irrigation water

Water availability and demand in agriculture is simulated with LPJmL’s irrigation module and an algorithm to simulate the operation of large reservoirs to supply water to irrigated areas (Biemans et al., 2013).

The irrigation demand module (Figure Flowchart) is described in detail by Rost et al. (2008). Crop net irrigation demand is defined as the minimum atmospheric evaporative demand and the amount of water needed to fill the soil to field capacity. The irrigation withdrawal demand – the gross demand –is higher than the net water demand due to losses through evaporation, interception and conveyance. Thus, the quantity of water demanded by crops (water consumption) is always less than the quantity withdrawn (water use). This gross demand is calculated as the product of the crop irrigation demand and an  irrigation efficiency that depends on the irrigation system (sprinker, surface or drip) that is allocated per country, as well as local soil characteristics (Jägermeyr et al., 2015).

Irrigation water is extracted from the rivers and lakes in the grid cell or a neighbouring grid cell. If these local surface water sources cannot meet the total demand, water is extracted from nearby reservoirs, if available. Finally, there is an option to supply from an unlimited source that can be interpreted as non-sustainable groundwater extraction or water imported from another basin. By excluding these water sources in a series of model runs, irrigation water supply and crop production can be attributed to different water sources.

Large reservoirs

Some 50% of global river systems are regulated by dams, most of which are in basins where there is irrigation and economic activity (Nilsson et al., 2005). The main purpose of approximately one-third of all large reservoirs is irrigation. Thus, in estimating agricultural water use, man-made reservoirs have to be taken into account. The reservoir operation module in LPJmL (Biemans et al., 2011) distinguishes three types of reservoirs: reservoirs used primarily for irrigation; reservoirs used primarily for other purposes (e.g., hydropower and flood control) but also for irrigation; and reservoirs not used for irrigation. Each type of reservoir is managed differently. The outflow of irrigation reservoirs follows the temporal pattern of irrigation demand, whereas the other reservoirs are intended to release equal quantities of water throughout the year. Water from irrigation reservoirs is supplied to downstream irrigated areas.

Water demand in other sectors

Water demands for electricity, industries and households are calculated in [[TIMER model version overview| TIMER]], following the method developed in Bijl et al., 2016. All three demands are calculated in separate sub-models, and are the product of an activity level, the water intensity of that activity, and efficiency factors. Future demands are based on historical water use obtained from AQUASTAT, and for the industry sector partly on the WATERGAP model (Florke et al., 2013). For electricity, the cooling water demands depend on the waste heat of power plants, and therefore on the fuel and power plant type determined in the Energy supply module. It also depends on the cooling type and efficiency.

Once-through cooling systems use large volumes of surface water that are returned almost entirely to the water body from which they were extracted, albeit at an elevated temperature. Wet cooling towers exploit the evaporation heat capacity of water and, thus require much lower water volumes. However, a significant part of the cooling water evaporates during the process and does not return to the original water body. In some regions, cooling ponds are used, where cooling water is pumped and recycled in a closed loop, with water demand somewhere between the once-through and wet tower cooling systems. Finally, dry cooling systems are deployed that use air as a coolant and thus do not require cooling water.  The water demands are based on Macknick et al., 2011, and transformed to water demand per unit of excess heat. Municipal and industrial water demands are functions of population size and Industry Value Added (IVA), respectively. They are influenced by GDP per capita and assumptions on efficiency improvements.

All non-agricultural water demands are calculated at the regional scale on a yearly timestep and subsequently downscaled to 0.5x0.5 degree grid cells using spatial explicit population data.

Water extractions

Water requirements in other sectors are extracted from local surface water, if available (rather than from reservoirs). Meeting the demand from these sectors receives priority over water withdrawal for irrigation.

Global water demand and water stress under a baseline scenario
As a result of increasing water demand and climate change, the number of people living under water stress is projected to increase (top, OECD 2012), and more regions might face a reduction in crop production due to irrigation water shortage (bottom, Biemans 2012).

Environmental flow requirements

Environmental Flow Requirements (EFRs) are defined as the quantity, timing and quality of water flows required to sustain freshwater and estuarine ecosystems (IRF, 2007). While these are difficult to quantify on a global scale, not including them at all can lead to an overestimation of available resources. Several global studies have therefore applied a proxy value, through means of a minimum discharge requirement (Gerten et al., 2013; Richter et al., 2011; Pastor et al., 2019; Jägermeyr et al., 2017). In IMAGE, EFRs are implemented following the methodology as developed by Pastor et al., 2014. This method is based on maintaining a percentage of the ‘pristine’ flow, which is the discharge without recent (i.e., less than 50 years) land-use developments and without withdrawals for irrigation and other sectors.

Impact indicators

Water stress is often presented as the withdrawal-to-availability ratio at basin or country level. The population living with water stress is estimated by overlaying such a water-stress (or water availability) map with a population density map. These indicators are used to present IMAGE-LPJmL results (for instance, in the OECD Environmental Outlook, see Figure) but they mask the potential occurrence of water shortages in the short-term or on sub-basin scale. Thus, water stress should also be calculated at higher spatial and temporal resolutions, as can principally be done with LPJmL (see Biemans, 2012).

Other water related impacts that can be addressed with IMAGE are impacts of water shortage on yields, and the impact of climate on aridity (which is the ratio between rainfall and potential evapotranspiration). Impacts of efficiency improvements in irrigation and rainwater management can be analyzed through their effects on these indicators, see for example also Jägermeyr et al., 2017.