Open access peer-reviewed chapter

Remote Sensing Based Crop Coefficients for Water Management in Agriculture

By Jorge Rocha, António Perdigão, Raquel Melo and Cristina Henriques

Submitted: December 6th 2011Reviewed: April 17th 2012Published: August 1st 2012

DOI: 10.5772/48561

Downloaded: 2415

1. Introduction

The climatic factors and their variability, both spatial and temporal, linked to precipitation decreasing and irregular distribution, due to climatic changes, have been gathering a higher weight in the definition of water management policies. These policies have important implications on agriculture. Using new technologies that allow a better use of water requires institutional changes in major areas. The first point is the need for base information with an adequate spatial and temporal resolution. The work we have done includes itself in the water efficient and sustained use, allowing the improvement of irrigation systems and it’s the result of a jointly effort of several teams based on an international project.

PLEIADES (Participatory multi-Level EO-assisted tools for Irrigation water management and Agricultural Decision-Support) is a research and technological development project co-funded by the European Commission's Sixth Framework Programme within its Sustainable Development, Global Change and Ecosystems Priority. The project responds to the identified need for targeted research in the area of Integrated management strategies and mitigation technologies, topic Water in Agriculture: new systems and technologies for irrigation and drainage. A set of pilot Case Studies represents a sample of the wide range of conditions found in the European and Southern Mediterranean and in the Americas, covering Portugal, Spain, Italy, Greece, Turkey, Morocco, Mexico, Peru, and Brazil.

The Portuguese working area was the Caia irrigation area, a subsystem of Guadiana basin, located in the southeast of Portugal, near the border with Spain. PLEIADES was expected to generate new knowledge on the functioning and performance of these pilot areas. This in turn aimed at providing the knowledge and information base for decision makers at all levels on agricultural water needs and consumption. It also set out to provide the basis for assessing the benefits and threats potentially brought about by new technologies to all actors in changing environments. The project was also expected to generate new tools for irrigation water management, combining innovative sensor technology with flexible easy-to-use Decision-Support Systems for adaptive management. These tools were designed to help farmers to control water more efficiently and improve the environmental and economic performance of their irrigation systems.

In our work, we address the efficient and sustainable use of water for food production in water-scarce environments. We consider the economic, environmental, technical, social, and political dimensions through a synergy of leading-edge technologies and participatory approaches. These technologies provide easy access to information for all stakeholders while active participation will be effected by spatial information and innovative networking tools. Our aim is to improve the performance of irrigation schemes by means of a range of measures. Major technical innovation is made possible by the comprehensive space-time coverage of EOdata and the interactive networking/connecting capabilities of Information and Communication Technologies (ICT).

The project was designed to assess and demonstrate in an operational perspective how the integration of Earth observation (EO) techniques in routine Irrigation Advisory Services (IAS) can improve the efficiency in the use of water for irrigation. The use of leading-edge Information and Communication Technology (ICT) tools in the generation and distribution of information makes the EOeasily available to IASand the farmers. The project WebGIS ( was one of the central outcomes of our project. Its key feature is the operational generation of irrigation scheduling information products from a virtual constellation of EOsatellites and their delivery to farmers in near-real-time using leading-edge on-line analysis and visualization tools. It is supported by a methodology package to derive crop coefficients and further advanced parameters from EOsatellite images in an operational processing chain.

The overall goal is to improve and optimise irrigation and drainage systems by means of new technologies. In this context, New Technologies (NT) include Earth observation, Geographical Information Systems, Information and Communication Technologies, and Decision-Support systems. In order to achieve this overall goal 3 specific objectives have been set:

  1. In accordance with the identified needs of stakeholders, multi-level NT-assisted tools will be adapted and developed for farmers and other water managers to optimise their water use at farm, irrigation scheme and at river-basin levels.

  2. To conduct trial campaigns in pilot areas with the active participation of users at farm and irrigation scheme level.

  3. To evaluate the performances of the NT-assisted tools using an extended evaluation system covering technical, economic, environmental, social and political dimensions and involving stakeholders at all levels over the whole lifetime of the project.

PLEIADES aims to demonstrate that New Technologies (NT) can effectively support the optimisation of irrigation schemes and in the long run foster sustainability by providing comprehensive and timely spatial information that supports decisions made at many levels: farms, irrigation schemes and river-basins.

We recognise that improvements will come not only from technical innovations but also from changes in social factors related to water governance, participation and social learning. Thus the NT-assisted tools will be deployed to facilitate technical and social learning enabling farmers to act responsibly by fine tuning their on-farm practices in accordance with the river-basin water status.

This work addresses the efficient and sustainable use of water for food production in water scarce environments. It aimed to improve the performance of irrigation schemes by means of a range of measures that consider the economic, environmental, technical, social, and political dimensions through a synergy of leading-edge technologies and participatory approaches. Major social and technical innovation was made possible by the comprehensive space-time coverage of Earth observation (EO) data and the interactive networking/connecting capabilities of Information and Communication Technologies. The system we developed stands mainly over FAOnormative, about culture water needs and the calculation of cultural coefficient (Kc) in a simple way, directly from remote sensing data. For that we simply use radiometric parameters derived from visible and infrared bands. Crop evapotranspiration can be calculated using the crop coefficient (Kc) defined as the ratio of total evapotranspiration (ET) by reference evapotranspiration (ET0).

Earth Observation (EO) provides an objective evaluation of crop water demand; this information can be used at different decision levels (from the farmers to the river basin authorities) to promote a more efficient use of water resources in agriculture. A rational management of water resources for irrigation requires information characterized by high temporal and spatial variability, which cannot be monitored with traditional field inspections. EOis a mature technology, ready for being transferred to operational applications in agricultural water management. Detailed data on crop development and irrigation needs are timely distributed to final users by means of modern Information and Communication Technologies.

Three main usages of EObased products have been conceived:

  1. Distribution of personalized information to a range of stakeholders (i.e. landowners, irrigation farmers and their associations) concerning crop and water status;

  2. Integration in GISbased river-basin water management tool, for distributed water balance calculations.

  3. A portfolio of EObased products has been set-up, and the methodologies for their retrieval have been defined, starting from past experiences and scientific knowledge available among the partners in the Consortium. FAO. methodology has been adopted as the standard procedure for computing crop water requirements from EObased products.

Three different levels of EObased products are distinguished:

  1. Land-use (irrigated vs. non irrigated crops; crop inventory maps);

  2. Basic (vegetation cover, Leaf Area Index, Crop Coefficients, potential evapotranspiration, Crop Water Requirements among others);

  3. Advanced (reference and actual evapotranspiration, biomass, yield).

The conceptual approach for the derivation of EOmodel of the service is split up into the following steps:

  1. Acquisition and analysis of high resolution satellite images in the visible and infrared spectrum;

  2. Local agro-meteorological data acquisition (e.g. temperature, humidity, wind speed, sun radiation, rainfall);

  3. Field validation through measurements in selected areas;

  4. Elaboration of EObased products;

  5. Data quality check and integration in a dedicated Geographical Information Systems (GIS) for irrigation management from field to district and hydrological basin scale;

  6. Real-time distribution of personalized irrigation advices on a weekly basis directly to farmers by means of different communication systems (Internet, text and graphical messages by using GSM/UMTS).

The validation of the different methodologies for the retrieval of EObased products has been an important part of the work carried out within all the pilot areas. Intensive field campaigns carried out simultaneously to satellite acquisitions have produced a large dataset for calibration and validation purposes. Micrometeorological instrumentations have been installed for comparison between field measurements of crop water use and estimates from EOprocessing. New methodologies have been set-up i.e. for improving the estimation of canopy parameters and for calculating reference evapotranspiration from geostationary satellites (of particular relevance in areas with very limited meteorological data).


2. Virtual constellation and space segment operationality

Farm management requires monitoring of agricultural crops at high spatial resolution and frequent temporal coverage during the entire growing season. The necessary spatial resolution can be provided by the current high-resolution sensors (20-30m pixel size), like TM, ETM+, SPOT, LISS, ASTER, ALI, or in the case of agricultural plots with special spatial requirements by very-high resolution sensors (like Quickbird, Ikonos). However, canopy architecture and biophysical parameters describing the canopy, like leaf area index, fractional ground cover, biomass, evapotranspiration, water stress, evolve continuously during the crop growing season.

A single satellite with a 16 day repeat time (like Landsat) would provide little useful information, considering also that cloud conditions may increase the time period between useable images. The critical requirement of frequency of coverage combined with high spatial resolution has not been satisfied after more than thirty years of Landsat mission launching. Satellite constellations have been proposed for this purpose by some studies, but a practical solution for the near future is not at hand. Our solution is a virtual constellation of EO satellites that corresponds to the needs and user requirements of irrigation scheduling and precision agriculture. Therefore, we have developed a unified procedure to obtain consistent time series of vegetation parameters of interest from this virtual constellation.

2.1. Definition and operational aspects

The virtual constellation (VC) is defined as a set of EOsatellites, each of which provides the necessary data to derive NDVIand other vegetation parameters at the spatial resolution required for the given application. In our case, for irrigation scheduling a spatial resolution of at least 30 m is imperative to resolve the major part of agricultural fields (plots). An additional key selection criterion is near-nadir observation, such that bi-directional effects are minimized. Landsat is the backbone of this VC, because of its excellent operational availability and low cost.

Due to the technical failure in Landsat7 all images taken on/after 31 May 2003 have no useable data in a significant part of each image. The software correction offered by USGS involves spatial degradation, which moves the spatial resolution of ETM+ out of the interest margin of our VC, except for areas located directly in the centre of a scene (non-affected area). This sensor failure clearly demonstrates the vulnerability of the operational space segment for this and similar applications.

Currently available alternative platforms are less ideal for operations, since they are either much more expensive (IRS, ALI, Spot), more complicated (Spot, due to changing view angles), and/or not operational (Aster, no rush service). A number of emerging platforms may add more elements to the VC. Our experience in PLEIADES has shown that all can be used to complete the TM time series. Ikonos and Spot were successfully tested in the Italian pilot area. The experience of Spot programming for this area showed that on average 5-6 images per month can be obtained (fairly cloud free and with incidence angles less than 15º).

We want to stress here again that the space segment is the most vulnerable part of the entire operational system. For this reason, urgent actions are required to ensure the capability to obtain adequate EOimages at the adequate coverage frequency and low cost. As a practical near-term solution for the case of cloudiness and/or satellite sensor failure, a contingency scenario was developed to base the PLEIADES operational system on a synergistic combination of EOdata, field data, and an expert system of local crop coefficient (Kc) curves.

These curves have been developed from the synthesis of previous campaigns, specially tailored to the crops and climatology of a given area. In the case of an EOdata failure (either missing image or clouds), the system would draw on a default list of Kccurves (per crop, crop cycle, sowing date) from (in order of priority) field data, the local expert system data base, and the look-up tables recommended by the Food and Agriculture Organization (FAO) [1]. Medium-resolution sensors (like AVHRR or MODIS) are also used to derive support data for this purpose.

2.2. Methodology to derive PLEIADES parameters from EO data

All biogeophysical parameter calculation from EO starts with a pre-processing of EO data, composed of three main steps: i) Geometric correction and image re-sampling; ii) Cross-satellite intercalibration; iii) Atmospheric correction.

Semi-automatic procedures have been developed in order to elaborate Kcmaps from EOdata in the minimum possible time. Pre-processing requires approximately half of the elaboration time of the entire process. Once georeferenced surface reflectance has been calculated in each pixel, the algorithms for determining Kcare quite straightforward.

The elaboration for step (i) is based on consolidated procedures available in each pilot zone. This step does not necessary requires a standardization, and it strictly linked to the topographical mapping standard adopted in each area. The principal recommendation coming from PLEIADES is to adopt procedures that do not alter substantially the radiometric content of data; as such, first-degree relationships should be preferentially used for coordinates transformation and nearest neighbour techniques for pixel resampling.

2.3. Cross-sensor intercalibration

When using different sensors from our virtual constellation to generate time series of maps of geobiophysical parameters, a reliable methodology is needed to intercalibrate the observations from different sensors at different observation scales in different platforms. Intercalibration between observations or cross-calibration of sensors aims at developing relationships that allow to translate reflectances and spectral vegetation indices from one sensor to another.

For this purpose, we have performed an observational study, comparing reflectances and NDVIfrom near-synchronous image pairs of ETM+ as the reference sensor and TM, LISS, Aster, Quickbird, and AVHRR. Linear relationships were found for the intercalibration of reflectances and NDVIfrom one sensor to another, for all sensors, provided that some spatial aggregation is performed.

The main source of data dispersion in our linear cross-sensor translation equations is the geolocalization uncertainty inherent in the process of geometric correction. Consequently, spatial aggregation needs always to be performed if (different or the same) sensors are to be used to derive time-series of biogeophysical parameters over heterogeneous areas.

The homogenous zone approach developed here is recommended as an excellent tool for deriving robust new cross-sensor relationships, provided that the selected homogeneous crops cover the full NDVIrange. The linear cross-sensor relationships derived from one image pair are shown to be valid for the whole season and for all areas with similar vegetation and climate. We recommend repeating the procedure once or twice a year in order to check the temporal stability of the radiometric calibration coefficients.

Although the differences in most cases are small, we maintain different equations for different spatial aggregation sizes. Table 1 gives the coefficients of the resulting equations for the example of 100 m grid cell side length (except for 75 m for Aster), which is the minimum recommended grid size.

SensorCoefficients of linear equationNDVIETM=aNDVI(sensor)+b
LISS III 1D1.1672-0.0454
Aster L1B1.1304±0.022-0.0002±0.019

Table 1.

Summary of NDVI cross-sensor translation equations for elements in our virtual constellation. Measure of uncertainty is defined as deviation from the mean.

2.4. Operational atmospheric correction

An automatic procedure has been developed for atmospheric correction. This procedure uses parameters extracted directly from the image instead of recurring to external data on synchronous on-site vertical profiles of atmospheric data, which are usually difficult to obtain. It results in a substantial reduction of processing time as compared to approaches based on radiative transfer calculations. It was found that approach (i) for NVDI Kccalculation is less sensitive than approach of analytical Kc(ii) for the effects related to the atmospheric correction.

Figure 1.

Example of the implementation of the atmospheric correction (AC) module on the satellite derived NDVI for an alfalfa plot. Top of atmosphere (ToA)NDVIrefers to theNDVIwithoutAC, whereas of atmosphere (BoA)NDVIcorresponds toNDVIwithAC. The reference field measurements ofNDVIare shown as solid circles.

A validation of the performance of this module has been performed by using field measurements of spectral reflectance carried out with the spectroradiometer GER 3700 (331 - 2509 nm spectral coverage, 1.5 - 9.5 nm resolution) for two land uses: (i) an alfalfa plot and (ii) a bare soil. Figure 1 illustrates the outcome of the AC-module in terms of the NDVIvalues for the alfalfa plot. Field measurements of NDVIshowed the greatest scattering due to both, heterogeneity of the canopy cover in the alfalfa field and, the small field of view of the spectroradiometer in comparison to Landsat pixel size. Taking into account this variability, we can conclude that atmospherically corrected NDVIvalues are in agreement with in field measured NDVI. Similar results are obtained for the bare soil plot.

3. Crop coefficient and reference evapotranspiration

Crop evapotranspiration can be calculated using the crop coefficient (Kc) (1) defined as the ratio of total evapotranspiration (ET) by reference evapotranspiration (ET0). Combining Kc(from field measurements or from satellite images) with ET0from agrometeorological station observations allows us to calculate crop evapotranspiration. This coefficient integrates the effect of characteristics that distinguish a typical field crop from the grass reference, which has a constant appearance and a complete ground cover.

Factors that determine the crop coefficients are crop type, climate, soil evaporation and crop growth stages [1, 2]. For this purpose FAO has proposed tabulated average values distinguishing by crops that can be applied knowing its phenology.

In case of annual crops under standard conditions (disease-free, well fertilized, grown in large fields, under optimum soil water conditions and achieving full production under the given climatic conditions), the Kccurve for the whole growing season can be calculated considering the initial (KcINI), medium (KcMID) and end stage (KcEND).


Mainly at the initial and end period, due to lower values of crop cover, soil evaporation has a large effect on KcINIand KcEND[3, 1, 4]. Therefore, vegetation indices (VI) are better related to transpiration of crop than to Kc[5] in those periods. This introduces a great variation in KcINIand KcENDdaily values depending on soil water status, i.e. on frequency of wetting by irrigation and rainfall.

The dual crop coefficient approach proposed by [6] splits Kcinto separate coefficients, one for crop transpiration Kcb(basal crop coefficient), and one for soil evaporation (Ke). The soil evaporation coefficient, Ke, describes the evaporation component of ET. When topsoil is wet, after irrigation or rainfall, Keis maximal.

Estimation of Kerequires knowledge of soil water balance [1]. Wright [6] introduced the idea of a basal crop coefficient in which the soil evaporation component of ETwas minimal due to a dry soil surface but adequate soil moisture in the crop root zone was available.


In PLEIADES we use two approaches to obtain the crop coefficient from satellite imagery: one, directly from NDVI, named Kc- NDVI, based on the relationship between NDVIand the basal crop coefficient, and another, named analytical Kc, is based on the direct application of the Penman-Monteith equation. The NDVIis the main operational parameter to monitor vegetation status using Earth Observation.

4. Crop coefficient from NDVI and canopy biophysics parameters

Relevant canopy biophysics parameters are green fractional cover, fraction of absorbed photosynthetically active radiation, primary production, Leaf Area Index (LAI), basal crop coefficient. All they are involved in canopy evapotranspiration. The ability of NDVIto describe canopy biophysics parameter has been shown as follows:

  1. NDVIis related linearly with green fractional cover [7, 8];

  2. NDVIis related linearly with the fraction of absorbed photosynthetically active radiation (fAPAR) [9];

  3. NDVIis related with primary production (dry biomass) by means of Light Use Efficiency (LUE) models [10, 11, 12]:


where Pis primary production, PARis Photosynthetically Active Radiation,is the efficiency of crop to transform PAR into dry mass, W is a water stress coefficient, and a, b are constants. Using these LUE models we can consider that, under non-water stress, NDVI on plateau stage can be seen as a good estimator of the dry matter accumulation rate, depending on crop and environmental variables [13].

It establishes a relationship between NDVI and crop growth rate (CGR) which agrees with the idea that considers NDVI as an estimator of the canopy photosynthetic power. This way, [14] consider that vegetation index can be legitimately used to provide an estimate of growth rate.

  1. NDVI is related exponentially with Leaf Area Index (LAI) [15]. Is well known that NDVI begins to saturate for a value of LAI equal to 3 reaching a plateau for LAI > 3 (Figure 2 a);

  2. NDVI is related linearly with the basal crop coefficient Kcb[16]. This relationship is a relevant basis for the Kc– NDVI approach.

The facts pointed out in (3) and (4) may appear contradictory (saturation of NDVI for LAI > 3 on one hand and the linear relation of NDVI with Kcbon the other). This seeming paradox is due to the usual reasoning that relates higher LAI with higher evapotranspiration. This reasoning arises from associating more leaf surface with more transpiration. However, already [17] stated that the evidence seems conclusive that transpiration in most mesophytic crop plants and other mesophytic vegetation well supplied with water increases with leaf area to LAI of about three (Figure 2 b).

Figure 2.

Typical NDVI-LAI curve (a), and ratio of actual to potential evapotranspiration (ET/ETp) as a function of the LAI (b).

Accounting the LAI saturation in the relation with evapotranspiration has lead to the concept of active LAI (Allen et al., 1998). The active LAI is defined as the index of the leaf area that actively contributes to the surface heat and vapour transfer. It is generally the upper, sunlit portion of a dense canopy. For practical applications, however, the active LAIis an ambiguous concept due its dependence on canopy architecture and its interaction with sunlight.

The basal crop coefficient is clearly related with green fractional cover (fc) (Figure 3). In fact, the procedure to estimate Kcbis based in the knowledge of fc[1], despite of ambiguities of the green fcconcept, mainly in the maturation stage. The relationship between NDVI and CGR for well watered crops is based on the ability of NDVI to estimate fAPAR, introducing this fact in the LUE model. CGR is also related with the transpiration rate.

Figure 3.

Green Fraction Coverand NDVI versus DoY at field scale for corn.

The relationship between NDVI and CGR exhibits a strong dependence on crop and environmental variables (solar radiation, temperature, etc.) [13]. This is due to the different nature of NDVI and CGR. NDVI depends only on canopy characteristics, while CGR and so the transpiration rate, are strongly also dependent on surface and environmental variables. The basal crop coefficient is the ratio of canopy transpiration rate over the reference canopy transpiration rate.

So, the empirical relationship between NDVI and Kcbshown by many authors, e.g. [18] and [19], (Figure 4) could be explained by considering NDVI as a measurement of relative CGR. Further research will be need in this subject. Despite limitations due to variability associated with canopy structure, background soil, and calibration uncertainties, NDVI can be used advantageously to estimate crop water requirements [20] in accounting its relationship with Kcb.

Figure 4.

Temporal evolution of crop coefficient (Kcb) and NDVI, in maize. Kcbis estimated from green plant cover using FAO methodology [19].

Taking into account similarities between the crop coefficient curve and vegetation index, [21] established the potential for modelling crop coefficient as a function of vegetation index. This relation was derived from reflectance observations at field scale in the wavelengths ranges [0.63, 0.69 m] and [0.76, 0.90 m], measured at nadir and two meters above corn. A linear transformation of the NDVI was developed by equating the NDVI at effective cover and for dry, bare soil at the experimental site to the Kcbat effective cover and for dry soil evaporation, respectively. Similarly, [22] obtained (4) for two research sites in Colorado using alfalfa as reference evapotranspiration surface


In order to minimize the presence of soil background, other vegetation indices (VI) have been used to compute Kcb[23]. This provides a particularly useful tool for satellite images where soil brightness and colour can vary. One of these VIs used is Soil Adjusted Vegetation Index (SAVI) [24] which for the same conditions as (4) gives the relationship [5]:


Thus, crop coefficients derived from spectral measurements (Kcs) are independent of the time parameters, day of planting and effective cover, and represent a real-time crop coefficient. The use of spectral crop coefficients facilitates irrigation scheduling on a field-to-field basis over a large region if the fields can be observed spectrally, because planting and assumed effective cover dates are not required.

The spectral information would be sensitive to leaf loss due to hail, stress caused by disease and water deficit, cold or wet conditions that delay early growth, and warm temperatures and drought that speed senescence [16]. At field scale, further work was performed in order to improve scheduling irrigation events on corn compared to other traditional DoY based methods resulting in estimated crop water use reduced by 15% [25].

5. Crop coefficient and NDVI relation from field observations

Intensive experimental campaigns were conducted within pilot zones. The research field has a permanent lysimeter station and it is water controlled following FAO 56 specifications [26]. Coinciding in time with spectral acquisitions, biomass (kg.m-2), Leaf Area Index (LAI), and Green Fraction Cover (fc) were measured to describe the phenology of crops.

By the knowledge of crop stages, Kcbvalues have been estimated taking into account the effect of varying relative humidity and wind velocity from standard conditions (RH = 40%, v = 2 m.s-1) (Allen et al., 1998). Reflectance in red and near infrared to compute NDVI is obtained by integrating spectral reflectance in the range of ranges [0.63, 0.69 m] and [0.76, 0.90 m].

Evolution in time of NDVI and fcfor maize is represented in Figure 5. NDVI reaches its maximum value, when crop reaches also full effective green cover in coincidence to maximum of Kcb. As can be seen in Figure 3 for maize, ranges of maximum and minimum values for fcand NDVI coincide in time obtaining comparable curves.

Variation in behaviour of fcallows determining KcbINI(0.15), and KcbMID(1.15). To determine KcbENDit is necessary to estimate water content of plant. The resulting 54% on DoY = 277 suggest a value of KcbEND= 0.5. The average curve for Kcbadapted for crop height, minimum relative humidity and wind velocity is represented in Figure 5 along with NDVI.

From linear regression we obtain the equations for the reflected-based crop coefficients for corn (Figure 6) in case of NDVI and SAVI:


To perform the comparison between (6) and (7), which are grass based reference evapotranspiration, and (4), which is alfalfa based reference evapotranspiration, we have realized the following steps:

  1. Derive from (4) a new SAVI based equation, using the relationship NDVI = 1.2735•SAVI+0.02106, obtained from the definition of SAVI with a value for L = 0.5 (where L is the adjusting factor to account for fcin the SAVI definition equation), the same as used for (7);

  2. Multiply alfalfa-based Kcbby a factor 1.15 to convert them in grass based Kcb, according the procedure described in [27]. Equations (8) and (9) show that the obtained results are very similar to (6) and (7).


Figure 5.

Field observations of Kcband NDVI versus DoY for corn.

Figure 6.

Linear regression between values of Kcband measured NDVI for maize.

In the case of wheat, the evolution in time is not as representative as in maize. We observe in Figure 3 that on DoY = 95, fcreaches a first local maximum before it continues growing in coincidence with emerging ears (with active photosynthesis), supposing a rapid increase in fc, and thus in Kcband spectral indices.

Applying (6) and (7) to data obtained for wheat, we see in Figure 7 that Kcbobtained from NDVI reproduces the evolution in time of fc.

This relationship facilitates calculations of transpiration taking into account that only points over dry soil were considered, but without limiting crop transpiration. Evaporation of soil introduces an important contribution to Kcduring days after irrigation or rainfall.

This means that water soil balance must be taken into account to get the contribution of evaporation in Kc. Over large areas, where variability of soil colour and brightness can influence the NDVI, SAVI and other Vis designed to normalize soil background effect should be used.

Figure 7.

Evolution in time of observed fcfor wheat. The KcbNDVI and KcbSAVI values for wheat have been obtained from the linear relationships in (6) and (7).


6. Crop coefficient from NDVI: Operational point of view

Equations (6) and (7) provide the grass based basal crop coefficient from NDVI and SAVI data. These VIs are calculated for Landsat TM broadband from field radiometry data. Equation (4) provides alfalfa-based basal crop coefficient from NDVI.

Neale et al. [28] review the use of canopy reflectance observations to obtain crop coefficients over large areas. Similarities were found between the mean crop coefficient for small grain to the ratio of the perpendicular vegetation index (PVI) for wheat to PVI of wheat at full canopy cover. Heilman et al. [3] investigated the relationship between percent cover and reflectance-based perpendicular vegetation index (PVI) for alfalfa.

Neale et al. [22] related the crop canopy reflectance to basal crop coefficient for corn, developing an operational technique for estimating actual crop ET. The reflectance based crop coefficient (Kcr) was derived by nearly transforming the seasonal normalized difference vegetation index (NDVI) using the percent shading and leaf area measurements to establish the EFC and relate it to the basal crop coefficient by [6]. In several studies, NDVI has been directly used to predict Kc[5, 22, 23, 29, 30].

The operational procedure to estimate Kcfrom satellite imagery is based on the linear relationship between NDVI and basal crop coefficient described earlier. Landsat is the reference imagery to estimate NDVI (spectral broadband calibration). The attractiveness of Landsat is the high resolution (30 m in the visible and near infrared bands and 60 to 120 m in the thermal band) so that individual fields can be observed. The methodology that is described here has been checked against the preliminary results of all PLEIADES pilot areas for the following crops: Barley, wheat, maize, opium plant, sugar beet, alfalfa, pea, potato, onion and garlic. So we can establish the limits of applicability of this approach.

6.1. Dual crop coefficient NDVI approach

Wright [6] proposed a dual basal crop coefficient approach which splits the total crop coefficient into crop transpiration (Kcb) and soil evaporation (Ke) fractions, see Figure 8. The Kcbcomponent represents the crop evaporative conditions from soil conditions whose surface is dry (direct evaporation from soil surface is minimum), and the crop growth is not limited by water, insect, climatological or physiological factors. The dual crop coefficient concept (see also equation (2)) expressed as


Figure 8.

Crop coefficient curves showing the basal Kcb, soil evaporation Keand the corresponding single Kcb= Kcb+ Kecurve [1].

We assume that there is a linear relationship between Kcband NDVI as stated earlier. This time, however, the linear relationships are adjusted to values of NDVIMAXand NDVIMINfrom satellite imagery rather to those from field radiometry. Table 2 gives the corresponding values.


Table 2.

Maximum and minimum values of NDVI and derived parameters observed in set of Landsat images.

The resulting linear relationship is:


The soil evaporation part in (10), Ke, is related with bare soil fraction, and is strongly dependent on wetting state of bare soil fraction, because the evaporative power of soil changes strongly if the soil is wetted or if the soil is dry. Irrigation system (gravity, sprinkler, drip, etc) and irrigation frequency, coupled with type and stage of crop, are the factors that determine the time of different bare soil wetting states. We propose a first approach to take into account these factors assuming NDVIas a good estimator of ground fractional cover, fc, (and so, of bare soil fraction, 1 - fc). The other factors are parameterized by means of a parameter β:


The parameter β is estimated empirically, from the values of KcINIor KcMIDand can be modified on the basis of ancillary or local information. It is crop (and stage) dependent. Assuming a linear relationship between NDVIand fcfor all crops, and considering again the NDVImaximum and minimum values from satellite imagery and the corresponding fcas given in Table 1, we obtain the relationship


6.2. Single crop coefficient NDVI approach

A common β parameter value is 0.25, obtained considering an fcvalue of 0.8, Kcequal to 1.2, and Kcbequal to 1.15. Taking β as 0.25 and combining (10), (11), (12), and (13), we obtain a direct relationship Kc- NDVI


We also obtain a relationship Kc- NDVIdirectly from Table 1 in the same way as above, by considering a linear relationship between the maximum NDVIand the maximum Kc(at effective full cover) and the minimum (bare soil) NDVIand bare soil Kc, respectively. The resulting relationship is:


Equations (14) and (15) are very similar. By its simplicity we assume (15) as the operational formula to derive Kcfrom NDVI.

Table 3 shows the comparison between Kcvalues obtained from NDVI by means of (15), and the values for KcINI, KcMIDfrom [1] for the crops studied in the field during the pilot campaign. We observe good agreement for crops with higher effective ground cover, although (15) seems to overestimate KcINIslightly for spring crops.

Opium poppy0.160.800.40No reference1.20No reference
Sugar beet0.160.780.400.35(0.45)*1.171.20

Table 3.

Comparison between the averaged Kcvalues obtained from NDVI by means of (15), and the values for KcINI, KcMIDfrom FAO56 [1] for the main crops in the pilot zone.

Significant deviations between NDVI based and FAO56 based KcMIDare found for crops like garlic and onion, which exhibit low ground cover in the stage of maximum development, in contrast with the rest of crops studied. The higher bare soil proportion of those crops can introduce and reinforce effects on Kcrelated with irrigation frequency, irrigation system utilized, environmental aspects and others. Further research is under way to study this behaviour.

It should be also noted that (14) and (15) are applicable for the initial crop development and mid-season phases only. The application for the late season phase, when the crop is maturing, requires a slight correction because ground cover (green and dry) remains nearly constant in that phase. Assuming a constant value of 0.8 for ground cover (Table 1) and combining (11) and (12), we obtain:


Summarizing, the operational equations will be (15) for the initial, development and mid season and (16) for the late season.

7. Caia (Portugal)

The Caia irrigation scheme is located in the Caia watershed in east-central Portugal close to the Spanish border. The Caia river is a tributary to the transnational Guadiana river basin. It is a relatively flat area at a mean elevation of 200 m above sea level, with mean annual precipitation of 537 mm. The irrigation infrastructure was established in 1967, with a central dam of 203 hm3 capacity and a metered canal network serving 7,237 ha. Except for a concentrated small-scale plot area of 600 ha, the fields are generally large, on average 35 ha. The main crops are corn, wheat, tomato, and sugarbeet, which are all grown for industrial commercialization.

The water resources from the dam are mainly used for irrigation (over 90%) and population supply (less than 10%). Pressure on water quantity is increasing and water quality is already under pressure, as ecological standards are very close to the regulatory limits.

The Associação de Beneficiários do Caia (ABCaia) is the local water user association (Irrigation District Board). It has the mandate for water management in the irrigation scheme and represents the local farmers in the River Basin Council. At the beginning of PLEIADES, there was an incipient traditional IAS (provided by the Centro Operativo de Técnicas de Rega, COTR) with a newly installed agrometeorological station and a small GIS facility at the Irrigation District Board. The goal was to build up an innovative irrigation advisory capacity, in order to cope with the rapidly increasing pressure on water quantity and quality.

7.1. Local crop expert database and field protocols

The first pilot campaign was a fruitful training and learning phase that consolidated the local team and established local field sampling protocols. It also laid the foundations for the local GIS-based expert database on crop phenology. Figure 9 shows the crop coefficient curves for the major crops. An important emphasis in the Caia pilot zone is on tomato, which has phonological cycles that can vary enormously between plots.

During the following pilot campaign, extensive field data were collected to extend the expert database for all major crops of the area. They were also used for validation and local calibration of EO-derived products.

Figure 9.

Crop coefficient curves for major crops in Caia area, from field campaign.

The local team developed and implemented a work strategy having as objective to be close to satellite overview conditions. In that sense nadir pictures of crop canopy have been taken as close as possible to overpass satellite period, to determine Green fraction cover, and the crop coefficient has been calculated using farming information concerning amount of used irrigation water, agrometeorological data and field phenological stage to correct and calibrate Kcbcurve.

For this campaign a spatial extrapolation of the crop coefficients was performed, based on field work land use maps. Figure 10 shows the temporal and spatial evolution of crop coefficient in the pilot zone, for the three studied crops.

Figure 10.

Spatial and temporal evolution of crop coefficient in Caia pilot Zone.

7.2. Calibration and validation of FAO and EO derived crop coefficients

The crop coefficient has been calculated in three different ways: the first (line in Figure 11) is based on the concepts of the FAO-56 (Allen et al., 1998) methodology for Kcbcalculation, with its general tabulated values; the second is KcNDVIcalculated with EOPLEIADES methodology (circles and squares, from Landsat 7 and 5, respectively); third way is Kcbfrom field observations, adjusted with additional field data (triangles). Figure 11 shows maize monitored on “Melinho” and “Botafogo” test fields. The length of the “Initial stage” of phenological development is based on information concerning seeding dates, but FAO-56 standard methodology stipulates that crop green development occurs earlier than has been observed in the field. The EO-derived data are rather close to the field observations. The slight scatter indicates that the crop stage have several variations, depending on soil and crop water stress parameters.

Figure 11.

Maize field Kcevolution during campaign versus EO derived and FAO-56: Melinho plot area (a) and Botafogo plot area (b).

Tomato is planted in a way that full canopy is not reached in any growing stage. This means that soil evaporative fraction is always present, resulting in a better water management at plot level. Due to the fact that it is a multi-stage plant, i.e. one plant can be on multiple phenological stages at the same period, irrigation must be a compromise for the average stage of the field. Based on the experience of field technicians, the different Kcbcurves (Figure 12) have been calculated with data obtained at plot level, FAO-56 methodology and EOderived data.

Figure 12.

Tomato field Kcevolution during campaign versus EO derived and FAO-56: D. Joana plot area (a) and Sta. Isabel plot area (b).

The results demonstrate again a huge difference between standard FAO-56 values (line) and the Kcvalues obtained from field survey (triangles). As with maize, the EO derived data present closer values to what has been observed on the plots. Given the huge deviation of actual crop coefficients from FAO-56 values the local expert database on crop phenology plays a crucial role in the quality of an IASunder implementation.

7.3. Real-time demonstration and participatory evaluation with farmers

Field monitoring has been carried from seeding until harvesting dates, only during the months of July, August and September of 2005. A real-time on-place demonstration campaign of PLEIADES took place, surveying hot spots in each of the 6 pilot fields and delivering IASinformation to farmers.

A “Farmer Report” was supplied to each individual land owner covered by the ground truth operation (Figure 13). In Figure 13 is clearly identified the difference in corn maturation in July, using drop-to-drop irrigation (a) and pivot irrigation (b).

Several meetings were organized to promote and explain the content of the information to the farmers and to get their feedback. The farmers found that the EO derived information, along with field survey data, can be very useful for them and that such an irrigate advisory service can help them with irrigation and farming strategies at their farm holding level.

Although, one of the monitored fields had a change for sugar beet with a winter variety, with impacts on data correlation, on the other two the same season of maize and tomato has been used.

The weekly procedure has been maintained in order to collect phenological stages data to define Kcbfield curves, for evaluation of EO-derived data. For the demonstration campaign the Portuguese Meteorological Institute provided KcNDVIdata, obtained from Landsat 5, in almost real time, so that they could be compared with field data. The local team made their spatial integration and data extrapolation based on ABCaia GIS tools and related geographical information data available for this pilot zone.

Figure 13.

Farmer report from D. Isabel (a) and Melo (b) fields.

Knowing, through data from the meteorological station at Caia (Figure 14), the relationship between potential evapotranspiration (ETp) and evapotranspiration measured from EO(ETEO), it is possible to establish the relationship expressed in (2).

Figure 14.

Evapotranspiration in Caia area.

Hence, having a value of, for example, ET0= 7.2 for the 2nd of June we can make the correspondence for the all area (Figure 15). This kind of data is very important to farmers because there is a well known relation where precipitation plus irrigation is equal to evapotranspiration plus terrain drainage.

Figure 15.

Crop coefficient and Evapotranspiration in Caia area at 2 of June.

7.4. Future perspectives

For the intensive and extensive campaign the local ground team has been organised and defined protocols and set up a strategy to collect data as close as possible to satellite overpass conditions. During the project period a local effort has been made to implement irrigation advisory services on the pilot zone area, resulting in ongoing use of agrometeorological station data provided by the Centro Operativo de Técnicas de Rega (COTR) and the Farmer Association (ABCaia) supplying information on irrigation parameters. Survey data have been available due to the cooperation of the Agronomy School of Elvas University (ESA) and also made available to them jointly with with ABCaia aiming to set up strategies for development of local technical skills to support irrigation development in accordance with environmental requirements.

The foundations have been laid for the PLEIADES prototype to start being operative in the Caia pilot zone. An efficient and dedicated local operating team has been consolidated, with collaborating entities. A local GISbased expert database on crop phenology and EO methodology calibration has been developed and the necessary ICT infrastructure has been established (Figure 15). The user participation is incipient but promising. A funding model still needs to be found for further sustainable implementation. Increasing pressure on water quantity and quality may provide an important motivation.

The Server is based on leading edge online GIS Technology. The system architecture is web based and composed by a modular group of components, which makes maintenance of the system easy. Those components are based on the XML language.

The web services have been programmed also to let the server be distributed in different PCs to share the load of the system. The server has been programmed for a Windows system, using open source libraries and toolkits like FOP, Xerces C++, GDAL, GD, MapServer, SWFF, etc. GDAL has been used for obtaining the satellite images information, getting the pixel value and creating charts with GD showing the time evolution.

Figure 16.

PLEIADES WebGIS and mobile applications example.

This toolkit, as well as the queries form, helps the user in taking decisions about water, crops, etc. MapServer lets the system offer a visual support for the user, supporting a wide variety of image formats, as well as vector format and databases. Xercess is the parser for the XML messages that implements the DOM interface providing quite an easy interface for the programmer for accessing the XML information.

The system receives information from images and stations, pre-processing some of them to provide formatted data. It also offers a Quality Control (QC) interface for the IAS manger to control the information for the farmer, so that the final information distributed to the user (“published”) includes only correct and accurate information. The system is prepared for assimilating the satellite image as far as possible, so that the system gives a real time toolkit for analysing the satellite information with the spatial information.

The mobile phone client has been programmed in Flash. A simpler interface has been designed because of the limitations of the mobile technologies. This client lets the farmers access the information of the satellite wherever they are without needing a computer or an internet connection and with an easy interface that lets them zoom into the image or ask for parameters information.

8. Conclusions

PLEIADES was designed to assess and demonstrate in an operational perspective how the integration of Earth observation (EO) techniques in routine Irrigation Advisory Services (IAS) can improve the efficiency in the use of water for irrigation. The use of leading-edge Information and Communication Technology (ICT) tools in the generation and distribution of information makes the EOeasily available to IASand the farmers.

The PLEIADES WebGIS ( is the central outcome of the project. Its key feature is the operational generation of irrigation scheduling information products from a virtual constellation of EOsatellites and their delivery to farmers in near-real-time using leading-edge on-line analysis and visualization tools. It is supported by a methodology package to derive crop coefficients and further advanced parameters from EOsatellite images in an operational processing chain.

PLEIADES basic products were generated and transmitted to a sample of farmers normally within 2 days from overpass, thus completely matching the weekly operational irrigation scheduling cycles.

Participatory evaluation with selected farmers shows that the farmers feedback is very positive, both on the information quality as on the added value of the spatial information (within-plot heterogeneity and between-plot variations). The reliability and accuracy of the information has been con-firmed by the comparison of different approaches to derive crop coefficients from EO and validation with field data in all pilot zones.

The major improvement achieved by the use of EOin the generation of basic IAS information products like crop coefficients is twofold. Firstly, the spatial coverage is enhanced significantly, both extending to larger areas and providing within-field heterogeneity information. Secondly, the spatially resolved EOdata can easily be combined with cadastral information in a geographical in-formation system (GIS), which allows for personalization of the irrigation scheduling recommendation.

Conventional IAS provides average irrigation recommendations per crop type, while the new space-assisted IAS is able to provide specific recommendations for each individual plot, based on the actual state of that plot.

The fast image delivery and quality controlled operational processing make the EO-based crop coefficient maps available at the same speed and quality as ground-based data (point samples), while significantly extending the spatial coverage and reducing service cost. The uptake of users at IASand farmer level is encouraging.

Advanced products have made a significant step towards operationality while maintaining satisfactory levels of accuracy. First exploitation steps including full operational implementation are indicators of the success of the prototype and the project.

The space segment is the most vulnerable part of the entire operational system. After the sensor failure of Landsat 7, the backbone of the actual system is Landsat 5, due to its excellent operationality and low cost (22 years old, with no replacement in sight). Urgent actions are required to ensure the capability to obtain adequate EO images at the adequate coverage frequency and low cost.

© 2012 The Author(s). Licensee IntechOpen. This chapter is distributed under the terms of the Creative Commons Attribution 3.0 License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

How to cite and reference

Link to this chapter Copy to clipboard

Cite this chapter Copy to clipboard

Jorge Rocha, António Perdigão, Raquel Melo and Cristina Henriques (August 1st 2012). Remote Sensing Based Crop Coefficients for Water Management in Agriculture, Sustainable Development - Authoritative and Leading Edge Content for Environmental Management, Sime Curkovic, IntechOpen, DOI: 10.5772/48561. Available from:

chapter statistics

2415total chapter downloads

7Crossref citations

More statistics for editors and authors

Login to your personal dashboard for more detailed statistics on your publications.

Access personal reporting

Related Content

This Book

Next chapter

Certification and Integration of Environment with Quality and Safety - A Path to Sustained Success

By Gilberto Santos, Manuel Rebelo, Síria Barros and Martinha Pereira

Related Book

First chapter

The Changing Landscape of Energy Management in Manufacturing

By Elliot Woolley, Yingying Seow, Jorge Arinez and Shahin Rahimifard

We are IntechOpen, the world's leading publisher of Open Access books. Built by scientists, for scientists. Our readership spans scientists, professors, researchers, librarians, and students, as well as business professionals. We share our knowledge and peer-reveiwed research papers with libraries, scientific and engineering societies, and also work with corporate R&D departments and government entities.

More About Us