Document Type : Research Paper

Authors

1 Department of Civil and Hydraulic Engineering, Laboratory for the exploitation and development of natural resources in arid areas; Kasdi Merbah University, Ouargla, Algeria

2 Natural Resources and Environmental Protection Research Laboratory; Larbi Ben M'hidi Oum El Bouaghi University

Abstract

In recent years, the development of agriculture in Algeria Southeast grew rapidly, which increased demand for agricultural products. Since this region has difficult agro-climatic conditions, irrigation seems to be a necessary factor to ensure optimal development and higher agricultural production. Like many irrigation techniques that are widely used, the performance of sprinkler irrigation is significantly affected by these conditions (mainly evaporation) which cause colossal water losses. The purpose of this study is to evaluate, through the experimental approach, the global losses of water caused by evaporation and wind drift on two irrigated surfaces in the arid zone of Touggourt. Here we propose adequate predictive equations and explore the effect of irrigated area on overall water loss values. These are measured on two blocks (A and B) the rain gauge method. Block A contains four lateral lines while Block B has only two. For both, each lateral line has four sprinklers. The results showed that the overall water losses of block A are about 24.13 to 50.46%, while those of Block B range from 29.52 to 49.5 %.Two obtained models are adopted for both blocks which can be useful tools for determining overall water losses in environmental conditions (air temperature, relative humidity and wind speed).Noting that when the irrigated area was larger, the water losses will be lass.

Keywords

OVERALL WATER LOSSES DURING SPRINKLER IRRIGATION IN ARID AREA (CASE OF TOUGGOURT - ALGERIA)

 

GHERIANI Sofiane1, MEZA Noureddine2, BOUTOUTAOU Djamel3

1,3 (Department of Civil and Hydraulic Engineering, Laboratory for the exploitation and development of natural resources in arid areas; Kasdi Merbah University, Ouargla, Algeria)

2 (Natural Resources and Environmental Protection Research Laboratory; Larbi Ben M'hidi Oum El Bouaghi University)

1Email: gherianisofiane@gmail.com,2Email: mnoureddine52@gmail.com, 3Email: boutoutaoudjamel@yahoo.fr

 

Received : 20 / 10 / 2020                        

Final Revision : 6 / 11 /2020                

Abstract: In recent years, the development of agriculture in Algeria Southeast grew rapidly, which increased demand for agricultural products. Since this region has difficult agro-climatic conditions, irrigation seems to be a necessary factor to ensure optimal development and higher agricultural production. Like many irrigation techniques that are widely used, the performance of sprinkler irrigation is significantly affected by these conditions (mainly evaporation) which cause colossal water losses. The purpose of this study is to evaluate, through the experimental approach, the global losses of water caused by evaporation and wind drift on two irrigated surfaces in the arid zone of Touggourt. Here we propose adequate predictive equations and explore the effect of irrigated area on overall water loss values. These are measured on two blocks (A and B) the rain gauge method. Block A contains four lateral lines while Block B has only two. For both, each lateral line has four sprinklers. The results showed that the overall water losses of block A are about 24.13 to 50.46%, while those of Block B range from 29.52 to 49.5 %.Two obtained models are adopted for both blocks which can be useful tools for determining overall water losses in environmental conditions (air temperature, relative humidity and wind speed).Noting that when the irrigated area was larger, the water losses will be lass.

 

Keywords: Sprinkler irrigation; evaporation; wind drift; environmental condition.

 

 

I. Introduction

South-eastern Algeria is an important agricultural pole because it contributes strongly to national agricultural production. In 2018, irrigated areas in Biskra, EL Oued and Ouargla accounted for about 19.11% of the total national irrigated areas, which reached 1.33 million hectares [1].The main activity in these arid zones is date palm cultivation with an annual production of 755 079.7 tons of dates and 172 084.7 tons of fodder crops. Cereals were estimated by 109964.2tonsand vegetable crops by 1 240 395 tons. In Oued Righ valley, the weather conditions were very severe, especially the period between April and September. Indeed, the average daily temperature can exceed 40°C, with a relative humidity of air often less than 40% and a wind speed oscillates between 2 and 4 ms-1. The water resources of this region come from two underground aquifers: the Terminal Complex and the Intercalary Continental with a total stream flow, intended for irrigation, estimated at 158.104 m3·s-1to  254 411 ha.Currently, the commonly used irrigation methods; surface irrigation (46%) followed by sprinkling (36%) and localized irrigation (18%). Small irrigated lands (less than five ha) represent 87.8% of the total regional farms [2].Sprinkler irrigation provides a better distribution of water at the soil surface and a homogeneous uniformity of moisture through the soil depth. All the way through, quantities of water evaporate during the path between the nozzle and the vegetation. Another quantity may be carried by the wind outside the weathered zone or intercepted by the vegetation. Then the remaining water enters through soil and reaches the ground [3]. However, the increased use of sprinkler technology, especially in sandy soils, requires serious studies of water losses. Therefore, the enormous exploitation of water resources for irrigation needs to be optimally managed by providing the necessary needs of crops, taking into account the value of the losses in order to achieve a high and stable yield. In fact, the lack of adequate calculation led many researchers to estimate water loss by spraying using established formulations in several regions of the world. Many authors showed that the sum of the overall losses caused by irrigation (sprinkling) depends on air temperature, wind speed and relative humidity of the air [4, 5, 6, 7, 8, 9].Among the sprinkler irrigation system variables, the nozzle and drop diameter have a significant effect on WDEL. The large of nozzle diameter will be significant by the droplet [10].In fact, large drops were more resistant to drifting and have less surface area per unit mass, and therefore they are less affected by WDEL.

Increasing in operating pressure results in a decrease of drop diameters [11, 12] with high WDEL.The increase in nozzle elevation of the ground surface causes high WDEL, due to a long fall path and big wind exposure [6]. Thus, day and night irrigation influences WDEL [8].

This study aims to measure the overall water losses caused by evaporation and wind drift (WDEL) in arid areas, propose adequate predictive equations adaptable of this area and explore the effect of irrigated area on overall water loss values.

II. Material and Methods

  1. 1.  Study site

The experiment was conducted at the National Institute of Agricultural Research in Algeria (INRAA), experimental station of Touggourt (latitude: 33°.04.293' and longitude: 006°.05.788' E) which is located at 7km of Touggourt city to the Southeastern Oued-Righ valley (Fig .1). It is characterized by an arid climate, a relative humidity of 26 to 56% and a wind speed exceeds 3 m·s-1. During the irrigation period, the temperature varies between 11 and 34° C.

 

Fig.1. Location of Touggourt city [13].

The experimental site was equipped with a conventional sprinkler irrigation system (spaced by18 mx 18 m). The total surface contains two blocks: block A includes four lateral lines (Fig. 2) and block B comprised only two (Fig.3). Four sprinklersof RS130 type were installedfor each one.One single sprinkler was equipped with double nozzles (4.4 mm and 2.4 mm in diameter) and located at a height of 0.75 m from the ground. The water was pressurized by a vertical axis electric pump and the operating pressure wasmaintained constant (about 200 kPa) during the season. The experimental protocol consisted the determination of precipitation intensity. The distribution of water under the sprinklers was assessed by collecting the amounts of water using rain gauges that are arranged in a gridat 4 to 4.5 of spacing, according to ISO 11545 [14]. In order to estimate the precipitated water layer, 273 and 145 identical rain gauges (10 cm of diameter and 20 cm of height) were respectively used in blocks A and B. The measurements of these water layers were carried out just after each irrigation.

Climatic parameters were provided during the experiment period by a conventional meteorological station installed near the field. The windspeed was measured, at 2 m height, by an anemometer (Thies CLIMA), also, the air temperature was measured by a mercury thermometer (Schneider) as well as the relative humidity wasestimated by a psychrometric table (dry and wet thermometers).

 

 

Fig.2. Experimental Schemeof Block A.

 

Fig.3.Experimental Scheme of Block B.

  1. 2.  Determination of WDEL global loss parameters

2.1.   Sprinkler water stream flow determination

The volume of irrigation water (sprinkler flow in cubic meters) was determined by means of a meter (installed at the beginning of the irrigation network). It was calculated by the following relation:

(1)

Total flow of sprinklers (m3·h-1)

Final counter reading (m3)

Initial counter reading (m3)

Irrigation time (h)

2.2.  Determination of water stream flow average from rain gauges

Volumes collected in rain gauges were measured byusing graduated tube (250 ml) and directly presenting the values of precipitated water height (h).The average value of h ̅ represents the sum of all the heights divided by the number of rain gauge n:

  ………. (2)

The average flow of all rain gauges was calculated from the following formula:

   ………. (3)

= average watering dose for all sprinklers;

 = watering time (h);

 = area occupied by rain gauges;

2.3.  Determinations of overall WDEL losses

After irrigation, overall losses (losses by evaporation and wind drift (WDEL)) were estimated by the relation:

 ………. (4)

WDEL=percentage of watering rate (%)

 = sprinkler water stream flow (m3·h-1);

 = water stream flow average from rain gauges (m3·h-1)

3. Relationship between total losses and meteorological parameters

There are many formulas for calculating overall water losses during sprinkler irrigation, some of themwere widely used in arid regions, presenting:

• YAZAR formula

The formula of YAZAR [4] was established, in the region of Nebraska (USA), by the following form:

(5)

Where:

Pertes globales

- Air temperature (°C);

 -Air humidity (%)

 -wind speed (m· s-1)

(= water vapor pressure deficit (kPa), calculated by the following relation [12]:

   ………. (6)

and= are respectively the saturating water vapor pressure and the water vapor pressure in the air (kPa);

=service pressure (kPa)

• SAPUNKOV formula

The formula of SAPUNKOV [5] was widely used in the Stavropol region (ex USSR).It was used depending on the type of spraying technique, in particular:

Large-bore sprinkler

  ……….. (7)

SAPUNKOV’s relation involves a parameter, called a complex indicator of climatic intensity (ɸ) which is defined by KHABAROV in [16], it is given by the following relation:

 ………. (8)

In order to model the data obtained through the field analysis tests, the general model was used to estimate the evaporation and drag losses by performing the multiple regression process.

4. Model performance evaluation criteria

The WDEL obtained from the data-driven model and previous studies were evaluated using three performance end points: coefficient of determination (R2) (Equation (09)), root mean square error (RMSE) (Equation (10)) and mean absolute error (MAE) (Equation (11)), [17] these criteria can be presented as:

R2 =     ………. (9)

RMAE =     ………. (10)

MAE     ……….(11)

Where:

 = observed value;= averaged observed value: = estimated value;= averaged estimated value:  = number of observations

Coefficient of determination, R2 assesses the level of relationship between observed and estimated values, with values close to 1.0 showing good execution of the model[18]. RMSE has the advantage of expressing error in the same units as the variable, thus providing more information on the efficiency of the model [18]. When the RMSE is low, the prediction is accurate. MAE Measures the average magnitude of errors in a set of forecasts, regardless of their direction. MAE ranges from 0 to infinite, and lower values were better [19].

5. Statistical analyses

In order to compare between predicted values of two blocks at 5%, T- test and Mann-Whitney test was applied by using SPSS version 20 software.

III. Results and Discussions

The measurements of total losses and climatic parameters (air temperature, air humidity and wind speed) of block A are presented in Table 1.

 

 

Table 1. Global total values and climatic parameters of block A.

Day

T (°C)

H (%)

W (m·s-1)

WDEL (%)

09.11.2017

15.86

38.33

1.24

29.41

22.11.2017

12.53

53

0.9

27.5

27.11.2017

14.4

49

0.77

29.62

05.12.2017

9.8

53.66

0.81

24.13

12.12.2017

14.66

42.33

1

24.78

19.12.2017

9.86

52.66

0.72

25.09

24.12.2017

11.46

55.33

0.71

24.09

02.01.2018

16.33

37.33

0.74

30.92

18.01.2018

14.33

41.33

1.73

26.89

21.01.2018

15.33

49.33

0.7

26.52

28.01.2018

13

45.33

2.18

24.58

12.02.2018

11.66

45.66

1.77

28.08

08.03.2018

20.26

43.16

1.43

27.11

12.03.2018

19.8

37.33

1.07

28.29

20.03.2018

20.2

28.66

2.6

34.38

27.03.2018

16.2

42

2.14

36.35

17.04.2018

23

36.3

3.29

43.89

25.04.2018

31.4

28.17

3.68

50.46

30.04.2018

28.5

33.5

2.51

43.90

07.05.2018

28

38.33

2.5

38.46

14.05.2018

25.6

42

2.73

38.36

21.05.2018

27.83

43.5

2.73

38.71

25.07.2018

36

33.33

2.49

40.86

30.07.2018

38.5

31

1.48

46.75

01.08.2018

36.66

32

2.73

37.64

 

Table 2 shows the measurements of the overall losses and climatic parameters (air temperature, air humidity, wind speed) of block B.

Table 2. Values of total losses and climatic parameters of block B

Day

T (°C)

H(%)

W (m·s-1)

WDEL (%)

19.11.2017

14.03

49.5

0.4

34.57

21.11.2017

13.5

50.66

0.46

34.89

26.11.2017

16

39.66

0.78

34.4

28.11.2017

17.33

46.5

1.58

35.04

03.12.2017

10.2

48.66

0.56

31.88

10.12.2017

12.6

54

1.17

32.85

17.12.2017

11.66

52.53

0.86

29.52

25.12.2017

9.46

62.66

0.41

31.53

03.01.2018

14.66

48.33

0.64

32

09.01.2018

13.13

50.46

0.89

32.77

17.01.2018

14

41

1.17

34.16

24.01.2018

14.33

57.33

1.22

31.67

13.02.2018

15.66

39

1.09

33.51

14.03.2018

20.66

42.5

1.87

35.2

26.03.2018

15.33

43.66

3.02

38.59

18.04.2018

20.2

44.3

2.86

35.62

23.04.2018

29.26

30

2.43

49.5

03.05.2018

21.2

26.5

2.96

40.72

09.05.2018

25.4

46.5

2.57

43.97

14.05.2018

28.33

42.33

1.87

36.63

23.05.2018

36.66

30.66

2.17

45.69

09.07.2018

37.66

31.33

1.6

47.27

Figures 4, 5 and 6 illustrate the effect of individual climate parameters on WDEL. In blocks A and B, air temperature was the most explanatory variable followed by wind speed and relative humidity respectively. It is clear that air temperature and wind speed were directly proportional to WDELs. Unlike, the latter is inversely proportional to the humidity of the air.

 

Fig.4. WDEL variation according to temperature.

 

Fig.5. WDEL variation according to airhumidity.

 

Fig.6. WDEL variation according to wind speed.

  1. Global loss modelling (WDEL)

The regression analysis between overall losses and climatic parameters allowed us proposing the following models:

• For block A:

   ………. (12)

• For block B:

 ………. (13)

Air temperature and wind speed were the most determining parameters in the overall water loss for the two blocks (Tables 3 and 4).

Table 3. Statistical parameters of block A regressions.

Model

 

Coefficient

SE

Beta

t

sig

Block A

T

W

Constant

0.543

3.323

16.04

0.109

1.049

1.871

0.604

0.384

4.981

3.167

8.572

0.000

0.004

0.000

Table 4. Statistical parameters of block B regressions.

Model

 

Coefficient

SE

Beta

t

sig

Block A

T

W

Constant

0.521

1.356

24.708

0.086

0.791

1.451

0.756

0.213

6.079

1.714

17.027

0.000

0.003

0.000

 

The values of the overall losses measured were compared to the values calculated by the models of YAZAR, SAPUNCOV and the models proposed for blocks A and B in Figures 7 and 8 respectively.

 

Fig.7. Comparison between the measured and calculated overall losses values (block A).

 

Fig.8. Comparison between the measured and calculated overall losses values (block B).

  1. Evaluation of proposed and existing model’s performance

To define the performance evaluation of the proposed and existing models, the following criteria were used: coefficient of determination (R2), root mean square error (RMSE) and mean absolute error (MAE). The results of the evaluation criteria by R2, RMSE, MAE (for the two blocks A and B were illustrated respectively in tables 5 and 6.

Table 5. Performance evaluation of proposed and existing models (Block A).

Model

Test

R2

RMSE ()

MAE( )

Yazar

Sapuncov

Proposed model

0.811

0.804

0.815

29.69

15.31

3.32

29.18

14.46

0.002

Table 6. Performance evaluation of proposed and existing models (Block B).

Model

Test

R2

RMSE ()

MAE( )

Yazae

Sapuncov

Proposed model

0.761

0.755

0.805

33.58

19.13

2.41

33 .37

18.87

0.0016

 

The performance criteria used (R2, RMSE and MAE) of the two proposed models (12) and (13) were better compared to the performance criteria of the models of YAZAR and SAPUNCOV even as the latter has a high coefficient of determination.

The comparison between the values of the overall measured WDEL losses, modeled, calculated and the formulas of YAZAR and SAPUNCOV for blocks A and B were presented in Figures 9 and 10 respectively.

These last figures clearly showed that the values of the overall losses modeled by relations (12) and (13) were very close to the measured values.

Figures 9 and 10 show the measured values of the overall WDEL losses which were compared to those predicted and estimated where the regression line was nearly identical to the first bisector, confirming the accuracy of the current study models in both blocks.

 

 

Fig .9. Comparison between values of the overall measured WDEL losses, modeled calculated and the formulas of YAZAR and SAPUNCOV for the blocks A.

 

Fig.10. Comparison between values of the overall measured WDEL losses, modeled calculated and the formulas of YAZAR and SAPUNCOV for the blocks B.

  1. Comparison between overall losses of the two blocks (blocks A and B)

In this study phase we try to verify the influence of an increase in the irrigated area on the overall losses (evaporation and wind drift losses). The verification was based on Shapiro-Wilk normality test. For a sample size of (N = 47 ˂ 50), the significant values of Shapiro-Wilk was equal to 0.002, 0.001 for blocks A and B respectively. (Table 7).

Table 7. Normality test.

G

Shapiro-Wilk

Statistical

ddl

signification

WDEL         A

B

0.911

0.896

47

47

0.002

0.001

 

The values presented in Table 7 clearly showed that the two blocks (A and B) didn’t follow a normal distribution at a confidence interval of 95%. In this case, Mann-Whitney nonparametric test was used in the comparison [20]. This test indicated that Sig Asymp's significance level value of 0.000 was less than 0.05, indicating that there was a highly significant difference between the two blocks. The mean values of overall losses (WDEL) of blocks A and B were 32.16 ± 6.82% and 37.16 ± 5.22%, respectively. The relative difference between the means of the two blocks is of the order of 13.46%, which means that the increase in the irrigated area contributed to the decrease in WDEL by about 13.46% (Figure 11).

 

 

Fig.11. Bar chart of WDEL of block A and block B.

Conclusion

Touggourt was characterized by an arid climate. The agro-climatic conditions favour the rapid development of the sprinkler irrigation technique in this area, which poses enormous problems of losses by evaporation and wind drift. The experiment showed that overall water losses are mainly affected by meteorological factors such as air temperature and wind speed. The obtained formulae for calculating water losses, adapted to arid regions, provide underestimated values. The later doesn’t suit the arid climate of Algeria. Correlation analysis between overall water losses and both studied meteorological elements allowed to establish empirical models between these characteristics. The water loss values calculated by the established models don’t differ significantly from the measured values. Besides, the obtained results showed that the increase in irrigated area is an obvious determining factor for the decrease of water losses, by evaporation and wind drift from the cloud drops of approximately 13.46%.

References

[1]     Ministère de l’Agriculture du Développement Rural et de la Pèche (MADRP).2019. <http://madrp.gov.dz/agriculture/irrigation/developpement-de-lirrigation/>.(Consulted on 08-09-2019, 14:00).

[2]     CIHEAM-IAMM. Centre de Documentation Méditerranéen CIHEAM-IAMM.<https://www.iamm.ciheam.org/ress_doc/opac_css/index.php?lvl=notice_display&id=30799>.(Consulted on 11.04.2020; 13:00).

[3]     R.Pierre, M. Jean Claude ,I. Bernard, 2004.Evaluation des pertes par évaporation lors des irrigations par aspersion en condition de fort déficit hydrique.ingénieres N°38.p 13-20.

[4]     A.Yazar. 1984. Evaporation and drift losses from sprinkler irrigation systems under various operating conditions. Agricultural Water Management, v.8, p.439-449.

[5]     AP.Sapunkov, 1991.Применениедождевальнойтехники: современныетенденции[Sprinkler application: current trends].M, Agropromizdat.1991, 126

[6]     JM.Tarjuelo, J.F. Ortega, J. Montero, J.A Juan. 1999.Modeling evaporation and drift losses in irrigation with medium size impact sprinklers under semi-arid conditions. Agricultural Water Management 43 (2000)263-284.

[7]     F.Dechmi,E. Playan ,J. Cavero ,J.M. Faci, A.Martinez-Cob . 2003. Wind effects on solid set sprinkler irrigation depth and yield of maize (Zea mays), IrrigSci (2003) 22: 67–77.

[8]     E. Playan, R.Salvador, J.M. Faci, N. Zapatan, A. Martinez-Cob, I. Sanchez. 2005. Day and night wind drift and evaporation losses in sprinkler solid-sets and moving laterals. Agricultural Water Management 76 (2005), 139–159.

[9]     S.Yacoubi ,K. Zayani ,A. Slatni ,E. Playan , 2012.Assessing Sprinkler Irrigation Performance Using Field Evaluations at the Medjerda Lower Valley of Tunisia. Engineering, 2012, 4, 682-691.

[10]  J. Keller., R.D. Bliesner, 1990. Sprinkler and Trickle Irrigation. Van Nostrand Reinhold, New York, NY, USA.

[11]  J.Montero, J.M.Tarjuelo, P.Carrio´n,  2003. Sprinkler droplet size distribution measured with an optical spectropluviometer. Irrig. Sci. 22 (2), 47–56.

[12]  O.Robles, E. Playan, J. Cavero,N. Zapata., Assessing low-pressure solid-set sprinkler irrigation in maize.Agricultural Water Management. Volume 191, September 2017, pages 37-49.

[13]  B.Bouselsal, 2017.Groundwater quality in arid regions: The case of Hassi Messaoud region (SE ALGERIA), Journal of Fundamental and Applied Sciences. J Fundam Appl Sci. 2017, 9(1), 528-541.

[14]  ISO 11545: 1995. Agricultural irrigation equipment — Centre-pivot and moving lateral irrigation machines with sprayer or sprinkler nozzles — Determination of uniformity of water distribution.

[15]  J.Murray .1967. On the computation of saturated vapour pressure. J. Appl. Meteo. 6, 203–204.

[16]  V.V.Slyusarenkov,,N.F.Ryzhko,2009.ПОТЕРИВОДЫНАИСПАРЕНИЕИСНОСПРИПОЛИВЕДОЖДЕВАНИЕМИСПОСОБЫИХСНИЖЕНИЯ [Wind drift and evaporation losses of water on when raining and ways to reduce it].НиваПоволжья.№ 1 (10) февраль 2009.

[17]  E. Maroufpoor, H.Sanikhani, S. Emamgholizadeh, Ö. Kisi.2018.Estimation of wind drift and evaporation losses from sprinkler irrigation systems by different data-driven methods.Irrig. And Drain. 67: 222–232 (2018).

[18]  DR. Legates, GJ McCabe. (1999). Evaluating the use of “goodness-of-fit”measures in hydrologic and hydro climatic model validation. Water Resources Research 35(1): 233–241.

[19]  C.J.Willmott, K. Matsuura., 2005.  Advantages of  the  mean  absolute  error  (MAE)over the  root  mean  square  error  (RMSE)  in assessing  average  model performance.  Climate Res.30, 79–82.

[20]  W.J.Conover. 1999Practical Nonparametric Statistics. John Wiley.

                                                                                                                                                     

[1]     Ministère de l’Agriculture du Développement Rural et de la Pèche (MADRP).2019. <http://madrp.gov.dz/agriculture/irrigation/developpement-de-lirrigation/>.(Consulted on 08-09-2019, 14:00).
[2]     CIHEAM-IAMM. Centre de Documentation Méditerranéen CIHEAM-IAMM.<https://www.iamm.ciheam.org/ress_doc/opac_css/index.php?lvl=notice_display&id=30799>.(Consulted on 11.04.2020; 13:00).
[3]     R.Pierre, M. Jean Claude ,I. Bernard, 2004.Evaluation des pertes par évaporation lors des irrigations par aspersion en condition de fort déficit hydrique.ingénieres N°38.p 13-20.
[4]     A.Yazar. 1984. Evaporation and drift losses from sprinkler irrigation systems under various operating conditions. Agricultural Water Management, v.8, p.439-449.
[5]     AP.Sapunkov, 1991.Применениедождевальнойтехники: современныетенденции[Sprinkler application: current trends].M, Agropromizdat.1991, 126
[6]     JM.Tarjuelo, J.F. Ortega, J. Montero, J.A Juan. 1999.Modeling evaporation and drift losses in irrigation with medium size impact sprinklers under semi-arid conditions. Agricultural Water Management 43 (2000)263-284.
[7]     F.Dechmi,E. Playan ,J. Cavero ,J.M. Faci, A.Martinez-Cob . 2003. Wind effects on solid set sprinkler irrigation depth and yield of maize (Zea mays), IrrigSci (2003) 22: 67–77.
[8]     E. Playan, R.Salvador, J.M. Faci, N. Zapatan, A. Martinez-Cob, I. Sanchez. 2005. Day and night wind drift and evaporation losses in sprinkler solid-sets and moving laterals. Agricultural Water Management 76 (2005), 139–159.
[9]     S.Yacoubi ,K. Zayani ,A. Slatni ,E. Playan , 2012.Assessing Sprinkler Irrigation Performance Using Field Evaluations at the Medjerda Lower Valley of Tunisia. Engineering, 2012, 4, 682-691.
[10]  J. Keller., R.D. Bliesner, 1990. Sprinkler and Trickle Irrigation. Van Nostrand Reinhold, New York, NY, USA.
[11]  J.Montero, J.M.Tarjuelo, P.Carrio´n,  2003. Sprinkler droplet size distribution measured with an optical spectropluviometer. Irrig. Sci. 22 (2), 47–56.
[12]  O.Robles, E. Playan, J. Cavero,N. Zapata., Assessing low-pressure solid-set sprinkler irrigation in maize.Agricultural Water Management. Volume 191, September 2017, pages 37-49.
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