Interciencia
versión impresa ISSN 0378-1844
INCI v.33 n.8 Caracas ago. 2008
Estimating evapotranspiration by capacitance and neutron probes in a drip-irrigated apricot orchard.
Oussama Hussein Mounzer, Rodolfo Mendoza Hernández, Isabel Abrisqueta Villena, Juan Vera Muñoz, María C. Ruiz-Sánchez, Luis M. Tapia Vargas, Virgilio Plana Arnaldos and JosÉ Mª Abrisqueta García
Oussama Hussein Mounzer. Ph.D. Agricultural Engineer, Universidad Politécnica de Cartagena (UPCT), Spain. Researcher, Centro de Edafología y Biología Aplicada del Segura-Consejo Superior de Investigaciones Científicas (CEBAS-CSIC), Spain. e-mail: omounzer@cebas.csic.es
Rodolfo Mendoza Hernández, Ph.D. Agricultural Engineer, UPCT, Spain. Researcher, Colegio de Postgraduados (COLPOS), Tabasco, Mexico. e-mail: rodolfo@colpos.mx
Isabel Abrisqueta Villena, Biologist, Universidad de Murcia (UMU), Spain. Ph.D. CEBAS-CSIC, Spain. e-mail: iavillena@cebas.csic.es
Juan Vera Muñoz, Ph.D. Agricultural Engineer, Universidad Politécnica de Valencia, Spain. Researcher, CEBAS-CSIC, and Unidad Asociada al CSIC de Horticultura Sostenible en Zonas Áridas (UPCT-CEBAS). Spain e-mail: jvera@cebas.csic.es
María C. Ruiz-Sánchez, Ph.D. Biology, UMU, Spain. Researcher. CEBAS-CSIC, and UPCT-CEBAS. Spain e-mail: mcruiz@cebas.csic.es
Luis M. Tapia Vargas. Ph.D. in Soil Science, COLPOS, México. Researcher, Instituto Nacional de Investigaciones Forestales y Agropecuarias, Uruapan, Mexico. e-mail: tapia.luismario@inifap.gob.mx
Virgilio Plana Arnaldos. Ph.D. Agricultural Engineer, UPCT, Spain. Researcher, Centros Integrados de Formación y Experiencias Agrarias, Lorca, and Consejería de Agricultura y Agua. C.A.R.M. Murcia, Spain. e-mail: virgilio.plana@carm.es
José Mª Abrisqueta García. Ph.D. in Chemistry, UMU, Spain. Researcher, CEBAS-CSIC, and UPCT-CEBAS, Spain. Address: P.O. Box 164, 30100 Espinardo, Murcia, Spain. e-mail: jmabrisq@cebas.csic.es
SUMMARY
This paper describes how a neutron probe (NP) and a multi sensor capacitance probe (MCP) can be used for monitoring the soil water content in order to develop a soil water balance and to estimate the evapotranspiration (ETc) of an apricot (Prunus armeniaca L.) crop. The van Genuchten model was applied to estimate water drainage below the active root zone, based on the measurements from both devices. Average crop evapotranspiration (ETc), estimated from the soil water balance for the whole period (17 months), was 1.6 and 1.5mm/day for NP and MCP, respectively, while the crop evapotranspiration calculated by the Penman-Monteith method (ETc-FAO) was 2.3mm/day. Drainage measured by both devices was negligible. The ETc measured by MCP was better correlated with the ETc measured by FAO methodology than with that corresponding to NP. A good correlation between the ETc values measured by NP and MCP was found. However, MCP permits continuous recording of the soil water content, is cheaper and less dangerous, while NP produces more accurate measurements than MCP.
Estimación de la evapotranspiración por capacitancia y sondas neutrónicas en una plantación de albaricoque irrigada por goteo.
RESUMEN
En este trabajo se describe la forma en que un sensor de neutrones (SN) y una sonda multisensor de capacitancia (SMSC) pueden ser utilizados para el monitoreo del contenido de agua del suelo, a fin de establecer un balance hídrico de agua y estimar la evapotranspiración (ETc) en un cultivo de albaricoque (Prunus armeniaca L.). El modelo de van Genuchten fue aplicado para estimar el drenaje bajo la zona activa radical, con base en las mediciones hechas con los dos artefactos. La evpotranspiración promedio de la siembra (ETc), estimada a partir del balance de agua del suelo para todo el período (17 meses) fue de 1,6 y 1,5mm/día para SN y SMSC, respectivamente, mientras que la evapotranspitación calculada por el método de Penman-Monteith (ETc-FAO) fue de 2,3mm/día. El drenaje medido por ambos artefactos fue despreciable. La ETc medida con la SMSC resultó mejor correlacionada con la medida por la metodología de la FAO que aquella correspondiente al SN. Se encontró una buena correlación entre los valores de ETc medidos por SN y por SMSC. No obstante, la SMSC permite un registro continuo del contenido de agua del suelo, es más económica y menos peligrosa, mientras que el SN produce mediciones más precisas que la SMSC.
Estimação da evapotranspiração por capacitância e sondas neutrônicas em uma plantação de damasco irrigada por goteejamento.
RESUMO
Neste trabalho se descreve a forma em que um sensor de nêutrons (SN) e uma sonda multisensor de capacitância (SMSC) podem ser utilizados para a monitoração do conteúdo de água do solo, a fim de estabelecer um balanço edáfico hídrico e estimar a evapotranspiração (ETc) em um cultivo de damasco (Prunus armeniaca L.). O modelo de van Genuchten foi aplicado para estimar a circulação de água sob a zona ativa radical, com base nas medições feitas com os dois artefatos. A evapotranspiração media da plantação (ETc), estimada a partir do balanço de água do solo para todo o período (17 meses) foi de 1,6 e 1,5mm/dia para SN e SMSC, respectivamente, enquanto a evapotranspiração calculada pelo método de Penman-Monteith (ETs-FAO) foi de 2,3mm/dia. A circulação medida por ambos os artefatos foi desprezível. A ETs medida com a SMSC resultou melhor correlacionada com a medida pela metodologia da FAO que aquela correspondente ao SN. Encontrou-se uma boa correlação entre os valores de ETs medidos por SN e por SMSC. No entanto, a SMSC permite um registro continuo do conteúdo de água do solo, é mais econômica e menos perigosa, enquanto que o SN produz medições mais precisas que a SMSC.
KEYWORDS / Apricot Tree / Capacitance Probe / Drip Irrigation / Evapotranspiration / Soil Water Balance /
Received: 05/09/2008. Modified: 07/16/2008. Accepted: 07/18/2008.
Accurate measurement of the soil water content is crucial for improving the way in which irrigation water and natural rainfall are managed. Crop yield is generally more closely related to soil-water availability than to any other soil or meteorological variable (Baier and Robertson, 1968; De Jong and Boostma, 1996; Miller et al., 2002).
The inefficient management of irrigation (e.g. the application of excess water) results in water and essential nutrients being transported through the soil profile to depths below the rooting zone. Such water and nutrient losses adversely affect not only environmental sustainability but also the economics of production. Therefore, minimizing these losses is important for efficient crop management practices (Stone et al., 1973; Molz, 1981).
Evapotranspiration (ET) is an important parameter for determining the irrigation requirements of fruit trees, especially in semiarid environments. The quantity of water to be applied depends, among other factors, on the soil type and the root depth (Doorenbos and Pruitt, 1977). Therefore, accurate measurements of the soil water content and continuous monitoring of the fate of applied water are required to minimize drainage and leaching losses below the relatively shallow root zone in trickle irrigation systems.
In semiarid environments, where water is scarce, it is necessary to determine exactly the crop water requirements at any given moment (García-Orellana et al., 2007). Water balance is a useful tool for evaluating crop evapotranspiration, water losses and water use efficiency in commercial crops (Flores and Ruiz, 1998). Evapotranspiration depends on both physiological and environmental factors (Barradas et al., 2005), and varies as a function of rainfall, irrigation, drainage, runoff, and water soil content variation (Cano et al., 1991). Therefore, measurement of the soil water content and drainage could provide a promising technique for precisely determining plant water requirements. Direct measurement of the soil water content is cumbersome and tedious, although several devices are available which may facilitate the task. The neutron probe (NP), based on neutron scattering, measures soil water content instantaneously, although systematic reading is necessary to characterize temporal variations in this parameter. Recently, new high performance measurement technology has been developed that provides quick precise data acquisition. For example, the multi-sensor capacitance probe (MCP) based on frequency domain reflectrometry (FDR) has simplified the soil water content measurements on temporal and spatial scales while providing acceptable accuracy (Fares and Alva, 2000; Starr, 2005).
The aim of this work was to develop water balance, using neutron and multi-sensor capacitance probes, to estimate the evapotranspiration (ETc) of an apricot crop in a Mediterranean arid environment.
Materials and Methods
Plant material and experimental conditions
The study was carried out from January 2001 to May 2002 in a 2ha apricot orchard (Prunus armeniaca L., cv. Búlida, on Real Fino apricot rootstock), planted in 1986 with 8×8m plant spacing, on a loamy soil located in the province of Murcia, Spain (37o52¢N, 1o25¢W; 340masl). The soil water content was measured simultaneousely by neutron probe (NP), as described by Abrisqueta et al. (2001), and by multi-sensor capacitance probe (MCP) as explained below. Both devices measured volumetric soil water content and were previously calibrated (Mounzer et al., 2006).
The trees were irrigated by a single drip irrigation line per tree row, with seven on-line auto-compensating emitters per tree, set 1m from each other (starting 1m from the trunk), each with a flow rate of 4l·h-1. The estimated application efficiency of the emitters was 95%. The irrigation water amounts were scheduled weekly based on the reference evapotranspiration (ETc), determined by Penman-Monteith methodology (Allen et al., 1998) using data collected by an automatic meteorological station located in the orchard, multiplied by published crop coefficients (Doorenbos and Pruitt, 1977) and adjusted according to canopy size (Fereres et al., 1982).
Soil water content measurements by MCP and NP
The soil water content through a 0.5m soil profile was monitored using a multi-sensor capacitance probe (MCP, AquaSpy Group Pty Ltd., model C-probe) and a neutron probe (NP, Troxler Electronic Laboratories, NC, model 4300) placed within the wetted bulb of the second emitter (from the tree trunk) of three randomly selected trees. The trees were selected from areas with mean textural characteristics, as indicated in Plana et al., (2002). The neutron probe measurements were made once or twice per week. Soil water content at 0.10m depth was measured using TDR (Ruiz-Sánchez et al., 2005). The PVC access tube of each MCP was installed using a special auger to ensure good contact between the tube and the soil. The bottom of the PVC access tubes were plugged with a rubber compression plug to prevent the entrance of water and vapor. An intrusion plastic bus was used to hold the four sensors at their respective depths. The probes were connected through a 7-pin cable to a Radio Transmission Unit (RTU), which read the frequency response at each sensor and stored data every 15min. The stored data was sent to the laboratory via radio signal through a relay station. Each probe was fitted with sensors at 0.1, 0.2, 0.3 and 0.5m depth. The water content at 0.4m depth was calculated as an average of the data obtained at 0.3 and 0.5m. The two deepest measurements served to estimate drainage below the root zone.
Water balance model description
The model described below is based on the following assumptions: i) the soil profile is homogeneous, ii) soil water hysteresis is not a major factor in water movement under high frequency drip irrigation, iii) the wetted soil has a cylindrical shape (size: height 0.5m; diameter 0.52m), iv) the water flow is vertical, and v) there is no runoff and no capillary movement from deep groundwater. Thus, the soil water balance equation is
Input Output = Volume change (1)
Inputs into the system are irrigation (I) and effective rainfall (R), while the outputs are drainage (Q), and evapotranspiration (ETc). Thus, the water balance for a unit area is
(I + R) (ETc + Q) = DW (2)
where DW: soil water content variation for a given period of time (Dt= t1-t2), during which ETc is evaluated. All terms are in mm.
The soil water content variation between times t1 an t2 was measured as
(3)
where z: depth of the root zone.
Continuous measurements of the soil water content also permitted the in situ determination of effective rainfall, which is equal to the variation in the soil water content shortly after a precipitation event.
If the water content and/or pressure head in and below the rooting zone are known for very short times, the soil hydraulic functions may be determined and, consequently, the drainage at depth z can be computed using
(4)
where k(h): unsaturated hydraulic conductivity (cm·h-1) at the pressure head h (cm) of the soil layer below the rooting zone, DH: hydraulic head variation between the bottom of the rooting zone depth and the next depth in the profile where the water content is monitored, and Dz: distance between the bottom of the rooting zone and the next depth in the soil profile where the water content is known. The total hydraulic head (cm) is defined as
H = h z (5)
where z: depth below the soil surface (cm). Knowing the soil water content at a given location of the soil profile, the pressure head at that place can be determined by the following equation (Van Genuchten, 1980):
(6)
where s and r: saturated and residual values of the soil water content (q), respectively, Q: dimensionless water content, a: soil parameter approximating the air entering the soil, n: soil parameter related to the rate of desaturation, and m: soil parameter related to residual water conditions. To simplify subsequent notation, h in Eq. (6) is assumed to be positive. qr, qs and Ks were obtained by Abrisqueta et al. (2006) using the methods described by Trout et al. (1982). In this way, qr= 0.11cm3·cm-3, qs= 0.36cm3·cm-3 and Ks= 0.132cm·h-1 and a, n and m, were determined empirically during the fitting procedure (Figure 1) with the expression
(7)
resulting in a= 5.347·10-4, m= 0.750 and n= 1.294. The limits of Eq. (7) when h®¥ and when h®0 are residual water and saturated water, respectively. This simultaneous equation has been used previously to describe soil water relationships (Starsev and McNabb, 2001).
The relationship between the unsaturated hydraulic conductivity and the hydraulic head h(q) was derived by Mualem (1976) as
(8)
where ks: saturated hydraulic conductivity (cm/day).
Substitution of parameters a, n and m into Eq. (8) gives the unsaturated hydraulic conductivity k(h), which is considered drainage below the effective root zone. Substitution of the volumetric soil water content at the bottom of the effective root zone q, as provided by MCP or NP in Eq. (6), gives the |h| values. These are inserted in Eq. (7) to give the k(h) or drainage values.
Statistical Analysis
Estimated crop evapotranspiration (ETc) from the neutron and multi-sensor capacitance probe measurements and that obtained by FAO methodology were statistically evaluated by analysis of variance, squared chi and regression analysis to test the performance of both devices.
Results and Discussion
Soil water content measurements
The soil water inputs, rainfall and irrigation, were measured continuously during the experimental period (Figure 2). Total irrigation for the studied period was 727mm for 2001 and 158mm for 2002 (until June), while rainfall was 333.4mm in 2001 and 186mm in 2002 (until June). The wettest period ran from the end of September to the end of May, while both years there were completely dry summers. The heaviest irrigation provided was between June and August, with 60% of the total. Adequate irrigation during this post harvest period determines the fruit-yield potential of the following year in this crop (Ruiz-Sánchez et al., 1999; Torrecillas et al., 2000).
The relationships between rainfall, irrigation, drainage and crop evapotranspiration modified the soil water content (SWC) in the topmost 0.50m soil layer (Figure 3). Measurements of the soil water content allowed comparison of the SWC determined by both techniques (NP and MCP). Both devices showed similar tendencies, although the MCP values were slightly higher. MCP behaviour is probably affected by temperature, as suggested by Steven et al., (2002) and Kelleners et al., (2004).
Although the SWC was highly dynamic during the experimental period (Figure 3), differences between the SWC values obtained with both probes remained consistent throughout, MCP showing an average SWC of 151mm and NP one of 132mm. Despite these differences, the two sensors showed a similar tracking. The SWC varied widely from 83 to 180mm, and both devices were able to detect this dynamic characteristic. This is an important point because the differences between the two sensors could have been due to the different performance level of the devices or the different soil volume explored by each, as was argued by Vera et al. (2007). Also, some environmental variables could have induced poor performance and led to inaccurate soil water content measurements (IAEA, 2000).
The lineal regression analysis of the soil water content measured by NP and MCP produced highly significant correlation and regression coefficients (0.6842*** and 0.4490*** respectively; Figure 4), which indicates that the measurements of both devices are strongly linked. By applying difference distribution analysis between both devices, it was found that there was a strong tendency for differences to decrease when the soil water content increased. So, when the volumetric SWC was between field capacity (0.29cm3·cm-3; 147mm at 0.5m depth) and saturation (0.36cm3·cm-3; 180mm at 0.5m depth), the differences between both devices were ±5%. Outside this range, the differences were greater. Both devices, then, behave similarly when the soil water content is near saturation.
Drainage was calculated using both devices at 50cm depth (Figure 6). NP showed 4.5mm of total drainage during the experimental period and MCP showed 2.1mm. Both values indicate that very little water was lost in this irrigation program, reflecting good irrigation water efficiency and the avoidance of percolation losses of water and agrochemicals (Kelleners et al., 2004). The pattern of water drainage was similar for both sensors, although NP values were higher than those of MCP on most dates. In general, the water losses in this study can be considered negligible due to the low value of the drainage losses.
Measured crop evapotranspiration (ETc)
The crop evapotranspiration (ETc) calculated by equation (2) using both devices and the same parameter estimated by FAO methodology (Allen et al., 1998) resulted in a parallel behavior during the experimental period (Figure 5), although the analysis of averages comparison identified statistically significant differences (Table I). FAO methodology showed significant higher values than NP and MCP but the two were not significantly different. The data of Table I agree with those reported by Abrisqueta et al. (2001), who found an average ETc of 1.95mm/day for well watered apricot trees. Note that for 2002 the ETc values corresponding to FAO methodology were higher than the corresponding NP and MCP values.
A chi-square test was used to check whether the NP, MCP and FAO methodology behaved similarly at any ETc value. For this, the ETc values were grouped into five intervals (ETc<1, 1³ETc<2, 2³ETc<3, 3³ETc<4, and ETc³4mm/day). The frequencies for each interval were compared for NP and MCP with the FAO methodology results (Table II). This test confirmed the results shown in Table I. Globally, NP and MCP were significantly different from FAO methodology, but significantly similar themselves. As regards the intervals considered, FAO methodology provided significantly different results from both devices only when the ETc values were <1mm/day (Table II).
Hence, in the case of apricot in this region, measuring ETc with NP or FDR devices will yield similar values and the selected device will depend on availability, the preference for uncomplicated risk-free measurements or the possibility of using telemetry for continuous measurements. Bell et al. (1987) reported that MCP offers an alternative to the neutron probe for measuring soil water content.
To compare the ETc values calculated by NP and MCP with FAO methodology, regression analysis was carried out (Table III). The MCP values best agreed with the FAO methodology values, with a 32% lower standard error, and a regression coefficient (0.88) close to unity. Given the narrow lineal relation between NP and MCP (Table III) it can be assumed that both devices behaved in a similar way.
Conclusions
The global average values of ETc calculated by soil water balance throughout the experimental period with both devices (NP and MCP) were statistically similar (1.62 and 1.53mm/day, respectively). The drainage measured by both devices was negligible (less than 5mm in the whole period). The ETc values calculated by MCP were better correlated with those calculated by FAO methodology than those provided by NP.
REFERENCES
1. Abrisqueta JM, Ruiz A, Franco JA (2001) Water balance of apricot trees (Prunus armeniaca L. cv. Búlida) under drip irrigation. Agric. Water Manag. 50: 211-227. [ Links ]
2. Abrisqueta JM, Plana V, Ruiz-Canales A, Ruiz-Sánchez MC (2006) Unsaturated hydraulic conductivity of disturbed and undisturbed loam soil. Span. J. Agric. Res. 4: 91-96. [ Links ]
3. Allen RG, Pereira RS, Raes D, Smith M (1998) Crop evapotranspiration-guidelines for computing crop water requirements. Paper 56, FAO, Roma, Italia. 300 pp. [ Links ]
4. Baier W, Robertson GW (1968) The performance of soil water estimates as compared with the direct use of climatological data for estimating crop yields. Agric. Meteorol. 5: 17-31. [ Links ]
5. Barradas VL, Nicolás E, Torrecillas A, Alarcón A (2005) Transpiration and canopy conductance in young apricot (Prunus armenica L.) trees subjected to different PAR levels and water stress. Agric. Water Manag. 77: 323-333. [ Links ]
6. Bell JP, Dean TJ, Hodnett MG (1987) Soil moisture measurement by an improved capacitance technique, part II. Field techniques, evaluation and calibration. J. Hydrol. 93: 79-90. [ Links ]
7. Cano GMA, Acosta HL, Rendón P (1991) Caracterización hidrodinámica de un suelo in situ y cálculo de percolación y evapotranspiración en riego por goteo. Agrociencia 2: 63-80. [ Links ]
8. De Jong R, Bootsma A (1996) Review of recent developments in soil water simulation models. Can. J. Soil Sci. 76: 263-273. [ Links ]
9. Doorenbos J, Pruitt WO (1977) Crop water requirements. Irrigation and Drainage. Paper 24. FAO. Roma, Italia. 144 pp. [ Links ]
10. Fares A, Alva AK (2000) Evaluation of capacitance probes for optimal irrigation of citrus through soil moisture monitoring in an entisol profile. Irrigat. Sci. 19: 57-64. [ Links ]
11. Fereres E, Martinich DA, Aldrich TM, Castel JR, Holzapfel E, Schulbach H (1982) Drip irrigation saves money in young almond orchards. Calif. Agric. 36: 12-13. [ Links ]
12. Flores LHE, Ruiz CA (1998) Estimación de la humedad del suelo para maiz de temporal mediante un balance hídrico. Terra 16: 219-228. [ Links ]
13. García-Orellana Y, Ruiz-Sánchez MC, Alarcón JJ, Conejero W, Ortuño MF, Nicolás E, Torrecillas A (2007) Preliminary assessment of the feasibility of using maximum daily trunk shrinkage for irrigation scheduling in lemon trees. Agric. Water Manag. 89: 167-171. [ Links ]
14. IAEA (2000) Comparison of soil water management using the neutron scattering, time domain reflectrometry and capacitance methods. FAO Division of Nuclear Technics. International Atomic Energy Agency. Viena, Austria. 163 pp. [ Links ]
15. Kelleners TJ, Soppe RWO, Robinson DA, Schaap MG, Ayars JE, Skaggs TH (2004) Calibration of capacitance probe sensors using electric circuit theory. Soil Sci. Soc. Am. J. 68: 430-439. [ Links ]
16. Miller PR, McConkey BG, Clayton GW, Brandt SA, Staricka JA, Johnston AM, Lafond GP, Schatz BG, Baltensperger DD, Neill KE (2002) Pulse crop adaptation in the northern great plains. Agron. J. 94: 261-272. [ Links ]
17. Mounzer O, Mendoza RH, Abrisqueta JM, Ruiz-Sánchez MC and Vera J (2006) Radio de influencia, calibración y aplicación de los sensores FDR de medida de la humedad. Rev. Int. Agua Riego 26: 40-43. [ Links ]
18. Molz FJ (1981) Models of water transport in the soil-plant system: a review. Water Resourc. Res. 5: 1245-1260. [ Links ]
19. Mualem Y. (1976) A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resourc. Res. 12: 513-522. [ Links ]
20. Plana V, Ruiz A, Ruiz-Sánchez MC, Franco JA, Abrisqueta JM (2002) Spatial representativity of the possible sites for measuring the water balance of apricot trees. Agric. Water Manag. 57: 145-153. [ Links ]
21. Ruiz-Sánchez MC, Egea J, Galego R, Torrecillas A (1999) Floral biology of Búlida apricot trees subjected to postharvest drought stress. Ann. Appl. Biol. 135: 523-528. [ Links ]
22. Ruiz-Sánchez MC, Plana V, Ortuño MF, Tapia LM, Abrisqueta JM (2005) Spatial root distribution of apricot trees in different soil tillage practices. Plant Soil 272: 211-221. [ Links ]
23. Starr GC (2005) Assessing temporary stability and spatial variability of soil water patterns with implications for precision water management. Agric. Water Manag. 72: 223-243. [ Links ]
24. Starsev AD, McNabb DH (2001) Skidder traffic effects on water retention pore size distribution and van Genuchten parameters of boreal forest soils. Soil Sci. Soc. Am. J. 57: 642-651. [ Links ]
25. Steven E, Ruthardt B, Kottkamp S, Howell T, Schneider A, Tolk J (2002) Accuracy and precision of soil water measurements by neutron, capacitance and TDR methods. 17th Water Conservation Soil Society. Symposium 59. Thailand. pp 318-1-318-8. [ Links ]
26. Stone LR, Horton ML, Olson TC (1973) Water loss from an irrigated sorghum field. II. Evaporation and root extraction. Agronomy J, 65: 495-497. [ Links ]
27. Torrecillas A, Domingo R, Galego R and Ruiz-Sanchez MC (2000) Apricot tree response to withholding irrigation at different phenological periods. Sci. Hort. 85: 201-215. [ Links ]
28. Trout JT, García-Castillas IG, Hart WE (1982) Soil Water Engineering. Field and laboratory manual No. 1. Dpto. Agric. Chem. Eng. Colorado State Univ. USA. 193 pp. [ Links ]
29. Van Genuchten MTh (1980) A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J. 44: 892-898. [ Links ]
30. Vera J, Mounzer O, Ruiz-Sánchez, MC, Abrisqueta I, Tapia LM, Abrisqueta JM (2007) Soil water balance experiments utilizing capacitance and neutron probe measurements in irrigation scheduling. II Int. Symp. Soil Water Measurement using Capacitance, Impedance and Time Domain Transmission (TDT). Beltsville, MD, USA. [ Links ]