From Global Goals to Local Gains—A Framework for Crop Water Productivity

Crop water productivity (CWP) has become a recognised indicator in assessing the state of Sustainable Development Goals (SDG) 6.4—to substantially increase water use efficiency. This indicator, while useful at a global scale, is not comprehensive at a local scale. To fill this gap, this research proposes a CWP framework, that takes advantage of the spatio-temporal availability of remote sensing, that identifies CWP goals and sub-indicators specific to the needs of the targeted domain. Three sub-indicators are considered; (i) a global water productivity score (GWPS), (ii) a local water productivity score (LWPS) and (iii) a land and water use productivity score (YWPS). The GWPS places local CWP in the global context and focuses on maximised CWP. The LWPS differentiates yield zones, normalising for potential product, and focuses on minimising water consumption. The YWPS focuses simultaneously on improving land and water productivity equally. The CWP framework was applied to potato in the West Bank, Palestine. Three management practices were compared under each sub-indicator. The case study showed that fields with high and low performance were different under each sub-indicator. The performance associated with different management practices was also different under each sub-indicator. For example, a winter rotation had a higher performance under the YWPS, the fall rotation had a higher performance under the LWPS and under the GWPS there was little difference. The results showed, that depending on the basin goal, not only do the sub-indicators required change, but also the management practices or approach required to reach those basin goals. This highlights the importance of providing a CWP framework with multiple sub-indicators, suitable to basin needs, to ensure that meeting the SDG 6.4 goal does not jeopardise local objectives.


Introduction
There is mounting pressure for the agricultural sector to increase crop production between 60 and 110% by 2050 [1], in order to ensure future food security based on the demands of a growing population. However, while there is increasing demand of agricultural output, agriculture at a global scale is facing This definition considers only actual ETa which accounts for water that is consumed, and therefore no longer available to other uses. ETa consists of soil evaporation (E) and plant transpiration (T).
Yield and transpiration has been shown to have a fixed positive linear relationship [17], while the relationship between the yield and the evapotranspiration has substantial variability. This variability stems from differences that include: environmental factors-such as climate conditions [18,19], soil type [20][21][22], and soil salinity [16,23,24]; crop factors such as-harvest index and cultivar type [24]; and management practices such as-irrigation [17,25,26], nutrient availability [27], soil management [28] and pest and disease management [23]. Thus, causes of low CWP and ways to improve it may differ from one case to another. These improvements aim at closing the gap between the current state of the CWP and the upper limit that is defined by the linear relationship between yield and ETa.
While there is consensus that CWP improvement will help in meeting growing food demands under resource constraints, devising action oriented strategies is required to help translate the theoretical scope for improvement to real on the ground gains. To be effective, such strategies must be case specific and be informed by the ground realities and needs, rather than being generalised solutions that are expected to work everywhere. The first step in this direction is to set CWP goals that consider local potentials, opportunities and limitations. Most CWP studies have developed either statistics [29,30] or maps [31,32] on a global scale, or identified that there is scope for global scale CWP improvement [33].
Benchmarking of CWP can be assessed at global or local scales. At the global scale, although interesting, it is difficult to compare CWP performance considering the climatic differences that limit crop growth. For instance, the first benchmarking was undertaken at a global scale, where values of CWP, segregated by crop, were compiled and the benchmark was set as the 95% percentile [34] in one instance, and a 90% percentile in another [35]. CWP benchmark maps were made for wheat as the

Materials and Methods
The methodology will first define the CWP scoring methods, or sub-indicators. Secondly, the CWP framework will be described, which will consider each when each CWP scoring method should be applied. Finally, the case study area where the CWP framework is applied will be described, The West Bank, Palestine, along with the methodology to estimate CWP.

Defining Crop Water Productivity Sub-Indicators
This research includes three CWP sub-indicators which aim to take into account the different ways to improve CWP; (i) the global water productivity score (GWPS), (ii) local water productivity score (LWPS) and (iii) the land and water productivity score (YWPS). The first two methods (i and ii) were developed in previous research [41], while the third (iii) was developed in this research as a way to optimise both land and water productivity. Each scoring method identifies a different target and a different approach in reaching said target. This is intended as the basis of the CWP framework, so that the user has multiple options in trying to achieve the SDG 6.4 that is not contradictory to the basin needs.
The underlying concept of each method to determine the CWP score is shown in Figure 1, and their respective definitions and methods are described in detail throughout this chapter. The scoring methods are presented in the form of the CWP, on the y-axis, plotted against the yield, on the x-axis. The sub-indicator target is identified as the darkest rectangle or circle on each plot. Increasing scores, shown as clusters, are indicated by rectangles and circles with increasing in darkness reflecting an increasing CWP score. The clusters represent percentiles, based on scaling. The direction required to reach the target is indicated by the arrow. The black lines represent the theoretical upper and lower boundary of a given crop. The upper boundary representing the theoretical maximum CWP for a given yield and the lower boundary function representing the theoretical minimum CWP for a given yield. These boundary functions are represented this way to reflect findings that incremental gains in CWP become smaller as yield becomes higher [42]. Therefore, the upper boundary function represented as curve-linear and the lower boundary function is represented as linear. Similar upper and lower boundary function trends have been proposed in an example for rice [39,40] and the upper boundary function has been proposed in an example for maize [43]. Figure 1 shows that the GWPS target is the highest CWP, or 'bright spot', irrespective of yield, and that the relationship between the CWP score and the actual CWP is linear. The LWPS CWP target is set as the upper boundary function, or the upper percentile for a given yield zone, and therefore the CWP target increases with a given yield. The YWPS shows that the CWP target is achieved when both the yield the highest for a given ETa, which is also considered a bright spot. The sub-indicator target is identified as the darkest rectangle or circle on each plot. Increasing scores, shown as clusters, are indicated by rectangles and circles with increasing in darkness reflecting an increasing CWP score. The clusters represent percentiles, based on scaling. The direction required to reach the target is indicated by the arrow. The black lines represent the theoretical upper and lower boundary of a given crop. The upper boundary representing the theoretical maximum CWP for a given yield and the lower boundary function representing the theoretical minimum CWP for a given yield. These boundary functions are represented this way to reflect findings that incremental gains in CWP become smaller as yield becomes higher [42]. Therefore, the upper boundary function represented as curve-linear and the lower boundary function is represented as linear. Similar upper and lower boundary function trends have been proposed in an example for rice [39,40] and the upper boundary function has been proposed in an example for maize [43]. Figure 1 shows that the GWPS target is the highest CWP, or 'bright spot', irrespective of yield, and that the relationship between the CWP score and the actual CWP is linear. The LWPS CWP target is set as the upper boundary function, or the upper percentile for a given yield zone, and therefore the CWP target increases with a given yield. The YWPS shows that the CWP target is achieved when both the yield the highest for a given ETa, which is also considered a bright spot. Conceptual approach to setting crop water productivity (CWP) targets under the global water productivity score (GWPS), local water productivity score (LWPS) and land and water productivity score (YWPS).

Global Water Productivity Score (GWPS)
The first CWP sub-indicator, the GWPS, is aimed at maximising CWP [41]. The GWPS scores the climatically normalised CWP (CWPc) between 1 and 10, with 1 being low performing and 10 being high performing. The scores are determined by standard scaling of the recorded CWPc between the 5th percentile global CWPc and the 99th percentile global CWPc. This method sets a global CWPc as the target, which assumes that for every crop a global target can be achieved in all locations (after correction for the climatic condition of that specific location). The GWPS increases linearly with increasing normalised CWPc. Therefore, a single normalised CWPc value correlates directly to a GWPS. This approach essentially identifies 'bright spots' and 'hot spots', 'bright spots' being the highest performing CWPc allocated with the highest score and 'hot spots having the lowest CWPc allocated with the lowest score.
This paper considers the GWPS on a both local and global scale, as there are many crops where global values are not available. In summary the GWPS is defined as: GWPS-'Maximise CWP': Considering an upper percentile as the CWP target, adjusted for climatic variation [44], based on and adapted for local benchmarks, where [41]: Figure 1. Conceptual approach to setting crop water productivity (CWP) targets under the global water productivity score (GWPS), local water productivity score (LWPS) and land and water productivity score (YWPS).

Global Water Productivity Score (GWPS)
The first CWP sub-indicator, the GWPS, is aimed at maximising CWP [41]. The GWPS scores the climatically normalised CWP (CWPc) between 1 and 10, with 1 being low performing and 10 being high performing. The scores are determined by standard scaling of the recorded CWPc between the 5th percentile global CWPc and the 99th percentile global CWPc. This method sets a global CWPc as the target, which assumes that for every crop a global target can be achieved in all locations (after correction for the climatic condition of that specific location). The GWPS increases linearly with increasing normalised CWPc. Therefore, a single normalised CWPc value correlates directly to a GWPS. This approach essentially identifies 'bright spots' and 'hot spots', 'bright spots' being the highest performing CWPc allocated with the highest score and 'hot spots having the lowest CWPc allocated with the lowest score.
This paper considers the GWPS on a both local and global scale, as there are many crops where global values are not available. In summary the GWPS is defined as: GWPS-'Maximise CWP': Considering an upper percentile as the CWP target, adjusted for climatic variation [44], based on and adapted for local benchmarks, where [41]: where i f CWPc > CWPc99, GWPS = 10. The CWP c 5 and the CWP c 99 are the 5th and 99th percentile CWP c refer to the 5th and 99th percentile global values for a given crop when applying the GWPS at a global scale and the 5th and 99th percentiles are the local values when applying the GWPS on a local scale. In this study, the global values have been taken from available literature on potato for this case study to obtain the 5th and 99th percentile global values. In total 29 field studies, covering 322 observations, were collected (Appendix A). The CWP c was estimated using [41]: ET0(a) is the ET0 for the location and ET0(c) is the climatic average ET0, in mm season −1 , worldwide, excluding the artic zone. ET0(c) was taken as the 40 year average from IWMI Climate Atlas [45]. The ET0 in SEBAL is estimated using the standard FAO 56 methodology [46]. The values for the ET0(a) used to normalise CWP to global literature on potato, if not available, were taken as the 40-year average ET0 for that location. CWP outliers are excluded by only including the 5th to 99th percentiles in the GWPS.

Local Water Productivity Score (LWPS)
The LWPS sub-indicator identifies a CWP target per a given yield zones. This is designed to set the upper boundary function (Figure 1) of the CWP plotted against the yield as the CWP target. This method is focused on reducing consumed water, i.e., reducing ETa, to reach the upper boundary function of CWP versus yield. Unlike the GWPS, for the LWPS a given CWPc can be designated multiple scores depending on the yield zone in which it falls. Further, within a yield zone the full range of CWP scores can be identified when local upper and lower boundary functions are defined. The LWPS is defined as: LWPS-'Minimise water consumption': Considering yield zones to set the CWP target as the upper boundary function of CWP versus yield where [41]: where i f CWPc > CWPc99i, LWPS = 10. CWP c 99,i refers to the 99th percentile CWP for yield zone i. Global yield zones of 1000 kg ha −1 increments for wheat rice and maize has previously been used [41]. However, this may be adapted for different crops where attainable yields are considerably greater or lower. Considering that local and global benchmarks for CWP are being used, yield zones are also defined for locally observed yields. Yield zones are therefore defined by the yield score (YS), developed for YWPS below.

Land and Water Productivity Score (YWPS)
Finally, YWPS sub-indicator, was developed in this research to consider both ETa and yield as equally important, and to aid in the identification of the CWP component with the most room for improvement. This method identifies that the previous two methods, the GWPS and the YWPS, are primarily focused on improving WUE and does not consider areas with limited available land. The YWPS therefore incorporates both a yield benchmark and an ETa benchmark. The CWP target is then defined as those fields that achieve both the yield and ETa benchmark. This method attempts to balance GWPS and LWPS by optimising land and water productivity. That is, by defining the target as a combination of the optimum yield and ETa. As a result, the range of scores defined are clustered based on yield and ETa rather than CWP. This approach considered loc values only and therefore is local bright spots are considered the target. Climatic normalisation is not required for the YWPS as it takes into account the local potential ET through the ETS. The YWPS is defined as: YWPS-'Optimise land and water productivity': Weighting a yield and ETa performance equally, where: where: where: where i f YS > Y99 and ETS > 0.5, YWPS = 10. The Y5 and the Y99 are the 5th and 99th percentiles of the yield. The ETd is the evapotranspiration deficit and the ETd5 and ETd50 are 5th and 50th percentiles of the ETd. The potential ET (ETp) is estimated as the amount of ETa that would occur without water stress and is calculated based on Penman-Monteith [46] in SEBAL. The 50th percentile (ETd50) is selected as the relationship between ETa and yield is expected to be critical to production below 50% deficit [43]. The ETd is often used to estimate crop water needs and reducing ETa is commonly applied in deficit irrigation to reduce crop water requirements while minimising reduction of the yield. It is recognised that the ETd would vary from crop to crop, depending on the sensitivity to drought. In this case 50% is taken as a nominal value and associated to the total available soil water depletion, which should not be greater than 50% [47]. This may be too high of an ETd for potato, however, this will be seen when observing the performance of CWP through the YWPS.

Defining a Crop Water Productivity Framework
This section will define a CWP framework around the CWP scoring methods defined in Section 2.2. The CWP framework is designed to establish the appropriate target relevant to basin needs or user defined goals.
When deciding which sub-indicator is most suitable, one first has to define the basin goals, considering 'where are we trying to go' and/or 'what are we trying to achieve'. This should be defined in a more comprehensive way than simply 'improving CWP'. Is the goal primarily to (i) move to 'bright spots' where a group of farmers have the highest performing CWP; (ii) improve the CWP of a specified yield zone by reaching the upper boundary function, thus focusing solely on reducing ETa; or (iii) go a step further, and identify which component of CWP, yield or ETa, has the most room for improvement? Each of the three CWP scoring methods addresses one of these goals; The GWPS addressed (i), the LWPS addresses (ii) and the YWPS address (iii). In other terms, GWPS may be preferred if the goal is to improve the overall CWP, LWPS would be preferred if the goal is to reduce overall water consumption and YWPS may be most useful to optimise both land and water productivity. Each of these scoring methods will contribute to reaching SDG 6.4, however, allow more flexibility than CWP as a sole indicator to assess performance.
The sub-indicator target, goal, ideal application, and benefits and constraints of each CWP scoring method are summarised in Table 1. The most appropriate method may also need to account for limited data, for example soils, or the absence of a local benchmark. Thus, a CWP framework should select the appropriate CWP sub-indicator dependent on both the goals specific to the basin in which it is being applied and the local constraints. The selection of the CWP sub-indicator and appropriate method will then guide the land and water management recommendations that are made. Environmental boundary delineation is specified as a possible constraint for both the GWPS and the YWPS. This is due to the lack of normalisation for soil. Although soil management practices have been shown to improve production for the same ETa [28], it has also been shown that CWP can be dramatically different between soil types within the same field [22]. These differences were related not only to soil management but soil type. Environmental boundary delineation is not included as a constraint in Table 1 as the LWPS attempt to deal with this variation through yield zones [41]. CWP or sub-indicators are tools that can be used to assess and measure the local and/or global CWP performance. The purpose of a CWP framework is to act as a support structure for the selection of CWP sub-indicators appropriate to basin needs. Thus, a generic framework, based on Table 1, to select and estimate CWP sub-indicator, is described in Figure 2. It is separated in two main components, (i) selecting the sub-indicator and (ii) applying the sub-indicator. Selecting the sub-indicator first requires definition of the basin goals, based on basin constraints. Based on this the CWP sub-indicator is selected alongside theoretical targets, i.e., bright spots or the upper boundary function. The yield, ETa and CWP or CWPc can be estimated. This provides a numerical approach to estimating the sub-indicator score and quantifying performance. Thus, once a suitable sub-indicator is identified, the appropriate numerical approach can be used first to estimate the CWP and then to quantify the target. Once the target is quantified, it can be applied to the scoring method and the performance can be assessed. Each of the three scoring methods could in theory reference local or global targets. When applying local targets, it assumes that the local attainable CWP is being achieved, either overall, or within a yield zone. Alternatively, when global benchmarks are set, it assumes that the global target is achievable. In each CWP scoring method the target is set to a score of 10, which assumes that this correlates to the attainable CWP. Therefore, the upper thresholds dictate the CWP target. The scoring methods, as described by each CWP scoring method, therefore define the CWP targets as; (1) GWPSwhen the CWPc is greater or equal to the 99th percentile global (or local) CWPc, (2) LWPS-when the CWPc is greater to or equal then the 99th percentile global (or local) CWPc in a designated yield zone and (3) YWPS-when the ETd is at the 50th percentile of the ETd and yield is greater or equal to the 99th percentile yield.

The Case Study, West Bank, Palestine
This paper will apply the CWP framework in the West Bank, Palestine. The West Bank is a land locked territory on the West Bank of the Jordan River that is currently facing water scarcity ( Figure  3). Combined with its reliance on agriculture for both subsistence farming and economic security [48,49], this situation calls for improving water use efficiency in agriculture to ensure its sustainability and allow Palestinians to adapt to a decreasing water supply [50,51]. The West Bank is generally described as Mediterranean, which is characterised by generally cool and wet winters and long, hot and dry summers [52,53]. There are four major climatic zones in the West Bank; hyperarid, semiarid, Each of the three scoring methods could in theory reference local or global targets. When applying local targets, it assumes that the local attainable CWP is being achieved, either overall, or within a yield zone. Alternatively, when global benchmarks are set, it assumes that the global target is achievable. In each CWP scoring method the target is set to a score of 10, which assumes that this correlates to the attainable CWP. Therefore, the upper thresholds dictate the CWP target. The scoring methods, as described by each CWP scoring method, therefore define the CWP targets as; (1) GWPS-when the CWPc is greater or equal to the 99th percentile global (or local) CWPc, (2) LWPS-when the CWPc is greater to or equal then the 99th percentile global (or local) CWPc in a designated yield zone and (3) YWPS-when the ETd is at the 50th percentile of the ETd and yield is greater or equal to the 99th percentile yield.

The Case Study, West Bank, Palestine
This paper will apply the CWP framework in the West Bank, Palestine. The West Bank is a land locked territory on the West Bank of the Jordan River that is currently facing water scarcity ( Figure 3). Combined with its reliance on agriculture for both subsistence farming and economic security [48,49], this situation calls for improving water use efficiency in agriculture to ensure its sustainability and allow Palestinians to adapt to a decreasing water supply [50,51]. The West Bank is generally described as Mediterranean, which is characterised by generally cool and wet winters and long, hot and dry summers [52,53]. There are four major climatic zones in the West Bank; hyperarid, semiarid, arid and sub-humid [54] and four main agro-ecological zones; central highlands, eastern slopes, Jordan valley and semi coastal [53]. The agro-ecological zones are determined by location, rainfall and altitude. The soils of the West Bank are diverse due to the variation in climatic, parent material and topography [53]. Several authors have mapped the soils of Palestine and they have been classified into 37 classes [55]. The main classes dominating the potato growing regions are luvisols, lithosols, calcisols and grumosols. Other than grumosols, these soils are typically fairly productive. arid and sub-humid [54] and four main agro-ecological zones; central highlands, eastern slopes, Jordan valley and semi coastal [53]. The agro-ecological zones are determined by location, rainfall and altitude. The soils of the West Bank are diverse due to the variation in climatic, parent material and topography [53]. Several authors have mapped the soils of Palestine and they have been classified into 37 classes [55]. The main classes dominating the potato growing regions are luvisols, lithosols, calcisols and grumosols. Other than grumosols, these soils are typically fairly productive. Potato production in the West Bank is currently growing with the expansion of irrigated areas. The total area of potato production in the West Bank in 2010 was recorded at 1084 ha [48]. Approximately 95% of the potato production occurs in the Jenin, Nablus and Tubas governorates and is predominately irrigated. The average potato production was estimated, by survey, to be 34.7ton ha −1 over the 2012-2013 and 2013-2014 season [48]. constituted approximately 71.5% of production but only occupied approximately of the 13% of the plant production area [56]. The primary irrigated crops include vegetables, citrus and bananas [49]. Olives consume occupy the most land in the regions, being approximately 47-50% of total agricultural land.
The potato crop area was estimated in this research by considering the phenological stages of the potato [57,58] and other local crops present in the same season-including cabbage [59] and onion, wheat and barley [58,60]. Potato production in the West Bank is currently growing with the expansion of irrigated areas. The total area of potato production in the West Bank in 2010 was recorded at 1084 ha [48]. Approximately 95% of the potato production occurs in the Jenin, Nablus and Tubas governorates and is predominately irrigated. The average potato production was estimated, by survey, to be 34.7 ton ha −1 over the 2012-2013 and 2013-2014 season [48]. constituted approximately 71.5% of production but only occupied approximately of the 13% of the plant production area [56]. The primary irrigated crops include vegetables, citrus and bananas [49]. Olives consume occupy the most land in the regions, being approximately 47-50% of total agricultural land.
The potato crop area was estimated in this research by considering the phenological stages of the potato [57,58] and other local crops present in the same season-including cabbage [59] and onion, wheat and barley [58,60].
To assess the CWP framework in practice, three field management practices-planting season, irrigation status and crop peak-were compared. This attempts to show the implications of different basin goals, and subsequent sub-indicators, on the field, and highlight the importance of using locally relevant sub-indicators. The planting seasons compared were the 2014-2015 fall potato rotation and the 2013-2014 winter rotation. The irrigated and arable land maps were provided by the Palestinian Ministry of Agriculture [55]. The crop peak was taken as the peak normalised difference vegetation index (NDVI) on a given day of the year (DOY) for that location over the growing season, and was considered a reflection of planting date and/or crop crowing days. Under the theory of the GWPS the rotations should be directly comparable due to climatic normalisation. The distribution and break-down of each practice is defined in Table 2. Irrigated arable land is separate from Irrigated Palestinian Land, as this is land that has been converted to irrigation on within 2-3 years of the study period. Irrigated land in Israeli settlements, within in the West Bank, are also considered separately, as their irrigation practices and access are not considered to have equal status to the Palestinian farmers. Rainfed only occurs in the winter potato. All potato is irrigated in the fall.

Crop Water Productivity Model
The CWP components, above ground biomass production (AGBP) and ETa, were estimated in this case study using the remote sensing tool Surface Energy Balance Algorithm for Land (SEBAL) [61,62]. The yield was then estimated by considering the harvest index (HI) and the moisture content (θ) of potato: The moisture content of potato, θ, was assumed to be 0.79 kg kg −1 [63], while the potato HI was taken as 0.8 [43,64]. Mean yields were validated against available data of potato production in the West Bank, Palestine. Surface energy balance model (SEBAL), a single source model applied to visible, near-infrared and thermal infrared data. The ETa is estimated as the residual of the energy balance (latent energy) by computing the net radiation (Rn), sensible heat flux (H) and ground heat flux (G) on pixel by pixel basis. SEBAL [61,62] was selected due to its availability in Python (PySEBAL), accuracy and internalised calibration. The temporal and spatial scales are limited to the input satellite images and repeat cycle and NDVI and Ts pixel resolution. In 2009, the SEBAL algorithm for ETa, was applied and compared at field and basin levels in over 30 countries under several climatic conditions [65,66].
The biomass in SEBAL is estimated based on the concept of Monteith [71], where the plant biomass is directly proportional to the photosynthetically active radiation (PAR) over the course of the growing cycle. PAR is a fraction of the incoming solar radiation (generally 45-50%) as it is a part of the short wave radiation absorbed by the plant for photosynthesis [72]. The fraction of PAR absorbed by the plant (fAPAR), or actually used by the plant, is a linear function of the normalised difference vegetation index (NDVI) [73,74]. A linear relationship between the fAPAR and NDVI from experimentally determined data derived from literature [75] is used in SEBAL. The accumulated aboveground biomass for a period is then estimated by multiplying the APAR by the light use efficiency (LUE). The LUE is scaled to account for deficiencies due to water scalar stress [75], heat stress [76] and vapour stress. The maximum LUE for C 3 is set as 2.5 gMJ −1 .
Further details of the SEBAL algorithm, application and validation have been described by numerous authors [62,66,68,77].
Other possible, and valid, remote sensing tools to estimate ETa for CWP include, but are not limited to; Surface Energy Balance System (SEBS) [78], Mapping EvpoTranspiration at high Resolution with Internalised Calibration (METRIC) [79] and Atmosphere-Land Exchange Inverse model (ALEXI) [80].

Data Requirement
The required input for SEBAL includes: visible, near-infrared and thermal infrared data-taken from Landsat 8 satellite images, a Digital Elevation Model [81] and meteorological data-taken from GLDAS [82]. The Landsat images used for the study period and the relevant potato vegetative phases are shown in Table 3. Bold highlighting key dates for biomass production; * Stolons are stems which grow at, or just below, the ground surface.
When images were deemed not adequate, due to cloud cover, the temporal scale was increased, by multiplying the reference evapotranspiration (ET0), derived from GLDAS datasets, by the crop coefficient (kc). The crop coefficient was obtained from SEBAL, using ETa/ET0, on available dates and was then interpolated linearly [46] for missing dates. The required metrological data from GLDAS for both SEBAL input and the ET0 calculation included wind speed, relative humidity, temperature, pressure and radiation.

Crop Water Productivity (CWP) And Normalised CWP
The distribution of the CWP and CWPc, along with scatter plots of the CWP and CWPc plotted against the yield, are shown in Figure 4. The results are shown for each of the rotations estimated in SEBAL in the West Bank, Palestine, and the global values compiled from literature. The distribution of winter rotation CWP and CWPc is near normal, with the highest density (mode) occurring at 13.0 kg m −3 and 13.4 kg m −3 respectively. The winter rotation has the smallest standard deviation ( Table 4). The standard deviation is greater for the winter tuber CWPc as compared to the winter rotation CWP.
The global literature values and the fall rotation CWP and CWPc each have skews to the right and modes that are less than the winter rotation. This shows that the global database and the fall rotation have typically lower values than the winter rotation, which is reflected in the lower 5th percentile and mean values. However, the fall potato and global database have greater CWP distribution and greater CWP 99th percentile values than the winter rotation, with the 99th percentile values being 38% and 30% greater than the winter rotation respectively (Table 4). After normalisation the difference in 99th percentiles is almost negligible (<1.5%). The mean and modes decrease for the fall rotation and global values. The standard deviation for the global values increases.
An example of the spatial variation, the 2015 fall rotation, of the CWP is shown in Figure 5. This map provides an example of locating the 'bright spots' and 'hot spots'. The 'bright spots', when considering on CWP, are seen in frame 4, where the CWP is consistently high, identified by green to blue shading. Frame 5 and 6 show much lower CWP, or 'hot spots' with CWP frequently below the mean values (12.15 kg m 3 ). These locations correspond to the highest values of CWP as was identified in Figure 4. This spatial identification of 'bright spots' and 'hot spots' can also be used when identifying the locations of high and low scores under each of the sub-indicators.
When images were deemed not adequate, due to cloud cover, the temporal scale was increased, by multiplying the reference evapotranspiration (ET0), derived from GLDAS datasets, by the crop coefficient (kc). The crop coefficient was obtained from SEBAL, using ETa/ET0, on available dates and was then interpolated linearly [46] for missing dates. The required metrological data from GLDAS for both SEBAL input and the ET0 calculation included wind speed, relative humidity, temperature, pressure and radiation.

Crop Water Productivity (CWP) And Normalised CWP
The distribution of the CWP and CWPc, along with scatter plots of the CWP and CWPc plotted against the yield, are shown in Figure 4. The results are shown for each of the rotations estimated in SEBAL in the West Bank, Palestine, and the global values compiled from literature. The distribution of winter rotation CWP and CWPc is near normal, with the highest density (mode) occurring at 13.0 kg m −3 and 13.4 kg m −3 respectively. The winter rotation has the smallest standard deviation ( Table  4). The standard deviation is greater for the winter tuber CWPc as compared to the winter rotation CWP.
The global literature values and the fall rotation CWP and CWPc each have skews to the right and modes that are less than the winter rotation. This shows that the global database and the fall rotation have typically lower values than the winter rotation, which is reflected in the lower 5th percentile and mean values. However, the fall potato and global database have greater CWP distribution and greater CWP 99th percentile values than the winter rotation, with the 99th percentile values being 38% and 30% greater than the winter rotation respectively (Table 4). After normalisation the difference in 99th percentiles is almost negligible (<1.5%). The mean and modes decrease for the fall rotation and global values. The standard deviation for the global values increases.
An example of the spatial variation, the 2015 fall rotation, of the CWP is shown in Figure 5. This map provides an example of locating the 'bright spots' and 'hot spots'. The 'bright spots', when considering on CWP, are seen in frame 4, where the CWP is consistently high, identified by green to blue shading. Frame 5 and 6 show much lower CWP, or 'hot spots' with CWP frequently below the mean values (12.15 kg m 3 ). These locations correspond to the highest values of CWP as was identified in Figure 4. This spatial identification of 'bright spots' and 'hot spots' can also be used when identifying the locations of high and low scores under each of the sub-indicators.     The impact of normalisation is further shown through the scatterplots of the CWP and CWPc plotted against the yield (Figure 4c,d). The fall and winter rotations, in particular, appear more overlaid after normalisation. Before normalisation, the fall rotation consistently shows higher CWP values being reached for a given yield, but have similar minimum values for a given yield. Conversely, after normalisation, each rotation consistently reaches similar CWPc for a given yield, while the minimum values for the fall rotation are lower. This is due to the seasonal ETa being much closer to the seasonal ET0 in the winter season. This highlights the importance of climatic normalisation, as although it appeared that the fall potato was performing similarly to the winter potato in terms of CWP, when the difference in climatic limitations of each season are taken into account the winter potato is in fact performing much better, as indicted by the CWPc.
The global CWP and CWPc values have a higher CV and a broader range of values for a given yield both before and after normalisation as compared to the West Bank CWP and CWPc values. This greater range is expected as the global values reflect a much wider and diverse range of growing The impact of normalisation is further shown through the scatterplots of the CWP and CWPc plotted against the yield (Figure 4c,d). The fall and winter rotations, in particular, appear more overlaid after normalisation. Before normalisation, the fall rotation consistently shows higher CWP values being reached for a given yield, but have similar minimum values for a given yield. Conversely, after normalisation, each rotation consistently reaches similar CWPc for a given yield, while the minimum values for the fall rotation are lower. This is due to the seasonal ETa being much closer to the seasonal ET0 in the winter season. This highlights the importance of climatic normalisation, as although it appeared that the fall potato was performing similarly to the winter potato in terms of CWP, when the difference in climatic limitations of each season are taken into account the winter potato is in fact performing much better, as indicted by the CWPc.
The global CWP and CWPc values have a higher CV and a broader range of values for a given yield both before and after normalisation as compared to the West Bank CWP and CWPc values. This greater range is expected as the global values reflect a much wider and diverse range of growing conditions (including environment and management). The mean global CWP and CWPc values as derived from literature were 8.86 kg m −3 and 8.80 kg m −3 respectively. The mean values before and after normalisation were expected to be similar, as this was the case for global values of wheat, rice and maize CWP and CWPc as estimated by Bastiaanssen and Steduto 2017. While they mapped significant spatial change in CWP after normalisation the mean values and standard deviation of CWP and CWPc for each crop remained within 8% different.
In general, after normalisation there is more layover in the scatterplot with the CWPc values estimated in the West Bank. Before normalisation, the global CWP values are typically lower for a given yield, but often reach the same high CWP values at low yields (<30 ton ha −1 ). After normalisation, the difference between the lower global CWPc values for a given yield and the West Bank values is reduced. Simultaneously the global values are reaching higher CWPc values for a given yield and at low yields are often exceeding the local CWPc values. This suggests that the climatic normalisation was relevant in both space and time, as the climatic normalisation appeared to be successful at making the CWP more comparable in both the global setting, space, and across rotations, time.
The mean CWP values as estimated in this study, from both SEBAL and literature, are significantly greater than global studies which modelled mean potato CWP as-3.92 kg m −3 [29], 4.17 kg m −3 [32] and 4.46 kg m −3 [30,35]. However the values are comparable with those suggested by Steduto et al., (2012), who suggested typical tuber CWP values range from 4-14 kg m −3 , with a dry matter content of 0.8.

CWP Validation
CWP was not validated itself, however the yield and ETa were compared to field estimates and literature. The yield of the potato was compared to the yield of 13 farmer's plots. As farmers frequently plant in both seasons. The farmers were able to provide yield estimates for both seasons. The reported yield had a good fit with the SEBAL derived yield, with a coefficient of determination (R 2 ) of 0.82. However, the y intercept is derived at 16.3 ton ha −1 . The mean yield also compared well to the mean yields for other years as reported by ARIJ (2015). The overall mean yield estimated from SEBAL for both seasons (2014-2015) was 34.6 t ha −1 and that reported by ARIJ (2015) was 34.7 ton ha −1 (2012-2013). This is expected to reduce the representativeness at lower biomass production. No field data was available on ETa and therefore no validation of the ETa component was undertaken, however, the crop coefficient, kc (kc = ETa/ETo) was compared to literature. The estimated mean SEBAL kc was 0.85 in the fall and 0.74 in the winter rotation. The winter kc corresponds well with those reported in other literature [83][84][85] where reported kc values range from of 0.82-0.87. The winter kc was a little lower, which is a result of the higher reference evapotranspiration (ETo).

Global Water Productivity Score (GWPS)
The global water productivity score (GWPS) of potato in the West Bank, Palestine, is shown in Figure 6. The CWPc is on the y-axis and the yield is on the x-axis. The GWPS is shown with scores that would be assigned under a local target and global target. The local scale considers a local 99th percentile CWPc as the target, 23.54 kg m −3 , while the global scale sets the global literature 99th percentile CWPc, 24.67 kg m −3 , as the target (Table 2). The difference in setting the global, as compared to local, potato CWPc as the target reduced the mean GWPS from 5.1 to 4.3. The standard deviation decreased slightly 1.91 to 2.03 and increased the coefficient of variation (CV) from 0.38 to 0.47. The difference between the local and global scales for GWPS, shown in Figure 6a,b respectively, are driven by the slightly higher overall 99th percentile CWPc identified from literature. Using the global database to define targets does not take into account cases (or crops) where there is a lack of global literature values. It also assumes that the global 99th percentile CWPc is locally attainable and that climatic normalisation is sufficient in accounting for variation in environmental conditions. Using a local target, rather than global target, applies the same numerical approach but does not require a global set of values and assumes that the local 99th percentile CWPc is equivalent to the attainable CWPc. In this case study, the global 99th percentile is being achieved locally as there are fields, approximately a combined area of 4.5 ha, with a GWPS of 10 which is seen in Figure 6.
The CWP scores for each sub-indicator are shown in Table 5. The results are shown for the GWPS using global CWP values as targets and for the LWPS using local CWP values as targets. Neither applied to the YWPS. Under the GWPS the fall rotation had only a slightly lower score than the winter rotation, 4.9 and 5.2 respectively. Before climatic normalisation the scores for each rotation was the same, 5.6, showing the impact of climatic normalisation. These scores suggest that even though the CWP of each rotation is similar, the fall rotation is not performing as well as compared to its 'potential'. The irrigated area in Israeli settlements had the highest GWPS, 7.3. When considering only Palestinian agriculture, the rainfed potatoes have a higher score, this is despite typically lower yields. A later peak NDVI achieved a higher GWPS score for both rotations.  The difference in setting the global, as compared to local, potato CWPc as the target reduced the mean GWPS from 5.1 to 4.3. The standard deviation decreased slightly 1.91 to 2.03 and increased the coefficient of variation (CV) from 0.38 to 0.47. The difference between the local and global scales for GWPS, shown in Figure 6a,b respectively, are driven by the slightly higher overall 99th percentile CWPc identified from literature. Using the global database to define targets does not take into account cases (or crops) where there is a lack of global literature values. It also assumes that the global 99th percentile CWPc is locally attainable and that climatic normalisation is sufficient in accounting for variation in environmental conditions. Using a local target, rather than global target, applies the same numerical approach but does not require a global set of values and assumes that the local 99th percentile CWPc is equivalent to the attainable CWPc. In this case study, the global 99th percentile is being achieved locally as there are fields, approximately a combined area of 4.5 ha, with a GWPS of 10 which is seen in Figure 6.
The CWP scores for each sub-indicator are shown in Table 5. The results are shown for the GWPS using global CWP values as targets and for the LWPS using local CWP values as targets. Neither applied to the YWPS. Under the GWPS the fall rotation had only a slightly lower score than the winter rotation, 4.9 and 5.2 respectively. Before climatic normalisation the scores for each rotation was the same, 5.6, showing the impact of climatic normalisation. These scores suggest that even though the CWP of each rotation is similar, the fall rotation is not performing as well as compared to its 'potential'. The irrigated area in Israeli settlements had the highest GWPS, 7.3. When considering only Palestinian agriculture, the rainfed potatoes have a higher score, this is despite typically lower yields. A later peak NDVI achieved a higher GWPS score for both rotations.

Local Water Productivity Score (LWPS)
The local water productivity score (LWPS) in relation to West Bank tuber CWPc and yield is shown in Figure 7a,b. The LWPS sets the CWPc target as the upper boundary function, which has been set to the local and global CWP c 99,i for each yield zone (Figure 7c). The LWPS scores are increasing with decreasing ETa within a yield zone. The yield zones can be clearly identified by the step-like feature of the scoring method when plotted against yield. Using local potato CWPc values as the 99th percentiles to define the target results in the full breadth of scores being observed within each yield zone (Figure 7a). When the global literature 99th percentiles are used to define the upper boundary function, or the target, a variation in the range of LWPS scores within yield zone is observed (Figure 7b). The mean LWPS for the local CWP potato values as targets and the global CWP values as targets was 5.7 and 4.2 respectively. The standard deviation was 2.73 and 2.01 respectively and the CV was 0.49 and 0.48 respectively. This suggests that using global values rather than local values as the target has a greater impact in the LWPS than in the GWPS.

Local Water Productivity Score (LWPS)
The local water productivity score (LWPS) in relation to West Bank tuber CWPc and yield is shown in Figure 7a,b. The LWPS sets the CWPc target as the upper boundary function, which has been set to the local and global CWPc99,i for each yield zone (Figure 7c). The LWPS scores are increasing with decreasing ETa within a yield zone. The yield zones can be clearly identified by the step-like feature of the scoring method when plotted against yield. Using local potato CWPc values as the 99th percentiles to define the target results in the full breadth of scores being observed within each yield zone (Figure 7a). When the global literature 99th percentiles are used to define the upper boundary function, or the target, a variation in the range of LWPS scores within yield zone is observed (Figure 7b). The mean LWPS for the local CWP potato values as targets and the global CWP values as targets was 5.7 and 4.2 respectively. The standard deviation was 2.73 and 2.01 respectively and the CV was 0.49 and 0.48 respectively. This suggests that using global values rather than local values as the target has a greater impact in the LWPS than in the GWPS.   (Appendix A). These functions were derived by extracting the 5th and 99th percentiles per yield zone. These represent the target for each yield zone. The 5th percentile function was fitted linearly, while the 99th percentile function was fitted logarithmically. The figure shows a linear lower boundary function and a logarithmic upper boundary function (Figure 1). The local targets are lower the than the targets derived from literature up and until the yield reaches approximately 50 ton ha −1 . The logarithmic regression of the upper boundary function in the West Bank has a better fit than the literature, R 2 = 0.96 and R 2 = 0.60 respectively. This is likely due to the small global literature database as there are less observations in each yield zone. This suggests that the upper boundary function taken from literature should evolve with the production of new datasets, and with this the upper boundary function will evolve. The lower boundary of the West Bank dataset and the global data set both show a positive linear relationship, with the West Bank lower boundary function has a higher slope (Figure 7d). The comparison of these boundary functions explain the variation in the scores between using the global and local boundary functions in that (i) In the low yield zones, the high scores are not observed as the global upper boundary function is higher than the local upper boundary function and (ii) At higher yields, the low scores are not observed due to the steeper slope of the local lower boundary function as compared to the global lower boundary function.
The upper boundary function trend, logarithm, is similar to regional scale and to global inter-comparisons as found for maize [43], wheat [86], rice [39,86] and cotton [86]. When compared to the first application of the LWPS, the upper and lower boundary functions had a better fit (higher R 2 ) in this study [41]. While, lower boundary functions were for the most part linear for each maize, wheat and rice, the upper boundary function did not appear to be best represented by a logarithmic function.
The resulting LWPS for different management practices are different to those the under GWPS (Table 5). Under the LWPS the winter rotation had a lower score than the winter rotation, 5.9 and 5.3 respectively. The irrigation status with the highest LWPS is rainfed potato. The irrigated Israeli settlements had the lowest LWPS, suggesting the higher yields. This is because of the definition of the LWPS sub-indicator, which defines yield zones, suggesting for a given yield that the ETa is higher for irrigated Israeli settlements as compared to rainfed or Palestinian irrigated area. As compared to GWPS, the highest LWPS was for earlier peak NDVI's.

Land and Water Productivity Score (YWPS)
The land and water productivity score (YWPS), in relation to West Bank tuber CWPc and yield is shown in Figure 8a. The mean YWPS was 5.7 and the standard deviation and the CV was 2.6 and 0.47 respectively. The YWPS scoring method evenly weighs the yield and ETa components of CWP. This is shown in Figure 8b, where for example, an YWPS of 10 requires a YS of 10 and an ETS score of 10. This results in YWPS clusters, where multiple yields, ETa's and CWPc's can be represented by one score. This results in multiple YWPS for a given yield and ETa. The YWPS has used a local target. This has the benefit of ensuring the target is locally attainable. However, if this scoring method was applied to an area that was not achieving the attainable CWP, it would neglect to account for this CWP gap. A benefit of YWPS, is that the performance in each yield and the ETa's components can quickly be identified. For example, YS of 5 means that yields are 50% of the maximum, or alternatively an ES of 10, means there is 50% ETa deficit. These fields can easily be identified when the YWPS is plotted on a YS versus ETS graph (Figure 8b). In regards to the adoption of a suitable ETd for the YWPS, the ETd of 50% did not appear to be set to low, as several fields with an ETS of 10 have obtained YS of 10.
The planting season and peak NDVI had the same order from high to low under the YWPS and the GWPS (Table 5). Under the YWPS the fall rotation had a lower score than the winter rotation, 6.4 and 4.7 respectively. The fields with a later peak NDVI had a higher YWPS as compared to those with an earlier peak NDVI. The similar mean scores between the GWPS and the YWPS arise from high scores being associated with high yields. However, variation in YWPS is seen in the distribution of scores, which is higher under the YWPS due to the designated higher weight of the ETa component.
The irrigation status with the highest YWPS was irrigated Israeli settlements, 7.5. When considering only Palestinian agriculture, the Irrigated Arable Palestinian Land potatoes had the highest YWPS, 6.33. The planting season and peak NDVI had the same order from high to low under the YWPS and the GWPS (Table 5). Under the YWPS the fall rotation had a lower score than the winter rotation, 6.4 and 4.7 respectively. The fields with a later peak NDVI had a higher YWPS as compared to those with an earlier peak NDVI. The similar mean scores between the GWPS and the YWPS arise from high scores being associated with high yields. However, variation in YWPS is seen in the distribution of scores, which is higher under the YWPS due to the designated higher weight of the ETa component. The irrigation status with the highest YWPS was irrigated Israeli settlements, 7.5. When considering only Palestinian agriculture, the Irrigated Arable Palestinian Land potatoes had the highest YWPS, 6.33.

Discussion
The CWP framework proposed attempts to help basins meet both local goals and SDG 6.4. While CWP as a single indicator may be a useful for the SDGs on the global setting, more specific indicators are required to ensure relevance at the local context. For the CWP framework, these have been identified as CWP sub-indicators. Each sub-indicator can help achieve different basin goals, while still contributing to SDG 6.4. This is seen not only through the sub-indicator scoring methods, or approaches, but highlighted in the variation in best management practice to achieve them.
The sub-indicator, GWPS, sets global bright spots as the target and defines the maximum attainable CWP as the target. This essentially defines the goal of improving CWP to maximise the 'crop per drop'. This does not necessarily mean reducing water consumed by the plant, but optimising it. Therefore, total water consumption may actually increase. This was shown in the GWPS where fields with the highest GWPS frequently also had high ETa. This therefore may contradict local basin goals of minimising or reducing consumed water. The LWPS attempts to deal with this by creating the target as the upper boundary function. This is because setting the upper boundary function as the target, which is the case for the LWPS, focuses on reducing ETa within a yield zone, and could be considered to be purely focused on minimising water consumed. This may be more desirable in areas constrained by water availability rather than land [39,87], however, may contradict food security objectives, like SDG 2.4. Alternatively, YWPS, focuses on achieving the maximum CWP for the minimum ETa. This may be more suitable to a basin that is trying to optimise both land (yield) and water productivity. This was shown when the highest YWPS were associated with the maximum yield for minimum ETa.
The application of the framework in the West Bank, Palestine, showed that different management practices were associated with different scores levels under different sub-indicators. The management practices included in this research were irrigation status, rotation and planting date. The differences under each scoring system relate to the way in which the different management practices influence CWP. The planting date and season influence the CWP due to the environmental

Discussion
The CWP framework proposed attempts to help basins meet both local goals and SDG 6.4. While CWP as a single indicator may be a useful for the SDGs on the global setting, more specific indicators are required to ensure relevance at the local context. For the CWP framework, these have been identified as CWP sub-indicators. Each sub-indicator can help achieve different basin goals, while still contributing to SDG 6.4. This is seen not only through the sub-indicator scoring methods, or approaches, but highlighted in the variation in best management practice to achieve them.
The sub-indicator, GWPS, sets global bright spots as the target and defines the maximum attainable CWP as the target. This essentially defines the goal of improving CWP to maximise the 'crop per drop'. This does not necessarily mean reducing water consumed by the plant, but optimising it. Therefore, total water consumption may actually increase. This was shown in the GWPS where fields with the highest GWPS frequently also had high ETa. This therefore may contradict local basin goals of minimising or reducing consumed water. The LWPS attempts to deal with this by creating the target as the upper boundary function. This is because setting the upper boundary function as the target, which is the case for the LWPS, focuses on reducing ETa within a yield zone, and could be considered to be purely focused on minimising water consumed. This may be more desirable in areas constrained by water availability rather than land [39,87], however, may contradict food security objectives, like SDG 2.4. Alternatively, YWPS, focuses on achieving the maximum CWP for the minimum ETa. This may be more suitable to a basin that is trying to optimise both land (yield) and water productivity. This was shown when the highest YWPS were associated with the maximum yield for minimum ETa.
The application of the framework in the West Bank, Palestine, showed that different management practices were associated with different scores levels under different sub-indicators. The management practices included in this research were irrigation status, rotation and planting date. The differences under each scoring system relate to the way in which the different management practices influence CWP. The planting date and season influence the CWP due to the environmental differences between seasons. For example, the fall season (fall planting date), as compared to the winter season, experiences higher rainfall and lower temperatures and is also affected by frost. These factors reduce total yield but increase water use efficiency, or CWP. Similarly, a later planting date in the fall has higher rainfall and lower temperatures as compared to earlier planting dates. Conversely, irrigation typically increases yield, as compared to rainfall, and may help maximise CWP, but does not minimise water consumption.
The highest score for a given sub-indicator suggests that, or those, management practices should be recommended. Therefore, this shows that depending on the basin goal selected, and therefore sub-indicator, different management practices would be recommended. While, this research is not trying to identify which practices are better for achieving CWP goals, it is trying to show the implications of different CWP sub-indicators in practice. The results showed that under the YWPS a winter rotation has higher performance, or mean score, under the LWPS the fall potato has a higher performance and there was little difference between rotations under the GWPS. Showing that different rotations are preferred to achieve different basin goals. Similarly, difference was seen for peak NDVI and irrigation status. For the peak NDVI, the GWPS and the YWPS a later peak NDVI has a higher performance, where and earlier peak NDVI has a higher performance under the LWPS. For the irrigation status, the Irrigated and Israeli settlements have the highest score for GWPS and YWPS, but the lowest for the LWPS. The rainfed area had the second highest scores for GWPS and LWPS, but the Irrigated Arable Palestinian Land had the second highest score for YWPS. The variation in management practices scores, associated with different sub-indicators, highlights that depending on the sub-indicator selected different attributes or farm practices may be preferred.
In cases where global targets are preferred, it must be ensured that a large enough database exists to ensure that the global 99th percentile is an accurate representation of the global potential. Due to the limited global dataset for potato, and for the application of CWP targets to other crops, it is pertinent to follow suit of previous research [34,41] and continue developing databanks of CWP, and its components, through assimilation of both remote sensing and field data. The impact was evident when setting the LWPS boundary functions. The distribution of LWPS from local potato CWPc values suggest that the CWP can be improved in all yield zones equally as each yield zone have the full distribution of scores. The distribution of LWPS from the global database CWPc values suggest that the greatest gains using the LWPS method can be gained when the yield is low, where the LWPS do not reach the maximum score and a higher number of low scores are observed, this is line with what was proposed by other authors [42].
Moving towards application of the target, or the approach to reach it, the focus then becomes where to first start targeting CWP improvements. For farmers in a higher yield zone, this may primarily be done through reducing evaporation, as the relationship between transpiration and yield are expected to be linear [88]. Alternatively, one could target farmers with both a low yield (below 50% of maximum) and low CWP, where there is the greatest room for improvement and the biggest savings could be made [42]. This is where the relationship between the transpiration and yield is not yet linear, and the improvements in marginal CWP are therefore greatest. Another alternative is to focus on improving the CWP of farmers that have both an ETS equal to 10 and a low YS, as when the ETd is greater than 0.5, small reductions in ETd can significantly increase yield. Analysis of CV may also be a useful tool to assist in targeting areas for factor analysis and CWP improvement. Where the CV is very high within a small area, the main differentiation in performance is very likely due to land and water management practices. Furthermore, in an area where the CWPc CV is low and the mean CWPc is high, it becomes important to find what land and water management practices local farmers are implementing, and if these practices are applicable to areas where the CV and mean CWP are low.
It is also important to note that the ambition of farmers often is to improve yield, while the ambitions of the basin are to reduce water consumption. As such, the desired approach defined at the basin level may conflict with that at the farm level [89]. Furthermore, it has been argued that CWP does little to improve the understanding of farm-level management [89]. This highlights the need to not only identify land and water management practices associated with high and low CWP, but the component of CWP (i.e., yield or ETa) that is being most influenced by the practice. In the context of the case study, a water limited region, the LWPS may first appear as the most suitable way to define the CWP targets. This approach may help establish methods to reduce water consumption while maintaining yields. However, the farmers typically consider their priority to be increasing yield. Their only interest in reducing water consumption is its relation to reducing pumping costs, which they specified would be redirected to methods to increase yield, such as providing additional nutrient application to the crop. If this target method is applied, additional incentives may need to be provided to encourage farmers to adopt water saving methods. Therefore, this framework is limited to the perspective of basin needs, rather than farmer needs.
This research identified that the way in which the indicator, CWP, is framed, has on the ground implications. Each sub-indicator discussed in this research can help improve CWP, and therefore move towards achieving SDG 6.4. However, the sub-indicator chosen influences 'how' and 'by how much'. Therefore, while a single global CWP indicator may be preferred to monitor and assess SDG 6.4, to ensure comparability and synergy, it is too simple to identify a blanket CWP indicator. A flexible framework is required that is suitable to both the local and global setting.

Conclusions
This research considered multiple crop water productivity (CWP) sub-indicators, which were appropriate for both crop and region, in a CWP framework. The benefit of this, is that it defines multiple methods to improve CWP to work towards SDG 6.4, dependent on local relevance. This move beyond setting a single indicator, that may help achieve SDG 6.4, but conflict with local needs. The framework identifies that the most applicable CWP sub-indicator is dependent on the local goals. If the goal is to reduce overall water consumption, the most appropriate sub-indicator is one that aims to move farmers from a lower boundary function to an upper boundary function, of the CWP plotted against the yield-the LWPS. This, for instance, is the most relevant for areas under sever water scarcity situation such as some Middle Eastern countries where there is immediate need for curbing water consumption in agriculture. If the goal is to maximise water productivity, then a sub-indicator that targets the highest CWP is most suitable-the GWPS. If the goal is to optimise land and water productivity, then it may be more suitable to consider both land and water productivity components equally-the YWPS. Further, the basin goal and therefore subsequent sub-indicator selected determines the approach to improving CWP. If the target is the upper boundary function, the targets are reached by reducing consumed water for a given yield. If the target is the highest attainable CWP, the targets are achieved by increasing the yield at a greater rate than any associated increase in consumed water. To reach the target that weighs both land and water productivity equally, the yield would be increased without increasing consumed water or vice versa. Subsequently, the basin goal selected will dictate the land and water management practices that would be implemented. The framework developed in this research helps the user identify the sub-indicator to assess and improve performance relevant to basin goals. This allows local level consideration of SDG 6.4 without contradicting local basin needs and constraints.