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Spatial-Temporal Distribution and Trend Analysis of Groundwater Level at Ghazipur District, Uttar Pradesh, India.

Pushpendra Kumar1 * , Gopal Krishan2 , Anupam Kumar Nema1 , Anil Kumar Lohani2 and Aradhana Thakur2

1 Department of Farm Engineering, Banaras Hindu University, Varanasi, Uttar Pradesh India

2 National Institute of Hydrology, Roorkee, Uttarakhand India

Corresponding author Email: pushpendrayadav1544@gmail.com

DOI: http://dx.doi.org/10.12944/CWE.17.2.7

The present study has analysed the Spatial-temporal distribution of groundwater level (GWL) in the Ghazipur district has been calculated using statistical and graphical methods for the period 1998, 2008 and 2018. In the present study, the GWL trend was analysed using the non-parametric Modified Mann-Kendall (MMK) test for the 39 locations of the Ghazipur district of UP, India. The trend analysis has been tested at a 5 % significance level. The mean, minimum and maximum GWL during the pre-monsoon season(PRM) ranged from 3.16 m to 12.71 m. However, in the post-monsoon (PTM) season, it ranges from 1.76 m to 9.09 m. The GWL trends have been estimated using the non-parametric tests, MMK during the period 1998 to 2018 at 39 locations in the Ghazipur district of Uttar Pradesh, India. From the analysis, The GWL trend analysis has revealed negative magnitudes for 8 locations that covered 20 % portion of total area and positive magnitudes for 31 locations spread in 80 % area in the PRM season. However, in the PTM season, 9 locations spread in 10 % area showed negative trends and 30 locations covering major area which is 90 % of total area showed positive trends. The changes in the GWL trends in two different seasons (PRM and PTM) can be included in the recharge by rainfall in the PTM season. This study reveals the behaviour of GWL over the study area. This study will help in providing valuable information about the long-term behaviour of groundwater levels for ensuring sustainable groundwater management in the Ghazipur district, Uttar Pradesh.

Ghazipur; Groundwater levels; Modified Mann- Kendall Test; Spatial-temporal

Copy the following to cite this article:

Kumar P, Krishan G, Nema A. K, Lohani A. K, Thakur A. Spatial-Temporal Distribution and Trend Analysis of Groundwater Level at Ghazipur District, Uttar Pradesh, India. Curr World Environ 2022;17(2). DOI:http://dx.doi.org/10.12944/CWE.17.2.7

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Kumar P, Krishan G, Nema A. K, Lohani A. K, Thakur A. Spatial-Temporal Distribution and Trend Analysis of Groundwater Level at Ghazipur District, Uttar Pradesh, India. Curr World Environ 2022;17(2).


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Article Publishing History

Received: 2022-03-03
Accepted: 2022-09-01
Reviewed by: Orcid Orcid Annisa Utami Rauf
Second Review by: Orcid Orcid Ghanshyam Patle
Final Approval by: Dr. Rui Alexandre Castanho

Introduction

Groundwater is the major source of freshwater, which fulfils the domestic as well as industrial and irrigation requirements of water in many parts of the world 1,2,3,4. Alluvial aquifers are one of the most important sources of groundwater worldwide. The Indo-Gangetic basin (alluvial aquifer system) is considered to be one of the world's most valuable water resources, yet it is also the most heavily exploited 5,6. More than one-fourth of the world's groundwater is withdrawn from the Indo-Gangetic basins 7,8.

In India, due to excessive use of groundwater, the status of groundwater development is very high (more than 100 %) in the states like Delhi, Haryana and Punjab. In Tamil Nadu, Himachal Pradesh and Uttar Pradesh, the level of groundwater development is 70% and above 9. Large-scale groundwater development and use in large parts of India have led to a decrease in fresh groundwater (GW) resources and the spread of grey and dark areas across the country  10. Groundwater supplies in India from  Indo-Gangetic Plains (IGP) have been stressed by intensive agriculture and rapid industrial expansion 11. The MK test has been used to find patterns and trends in daily groundwater level, annual temperature and precipitation12,13,14,15.

 The parametric linear regression test and the MMK test were used to calculate trends in the GWL of the Sagar district. 16. Similar research has been done in Punjab,  Uttar Pradesh and Chhattisgarh 17,18,19.   The district is characterized by alluvium consisting of clay, sand kankar.  Older, as well as Newer alluvium, are come across in the district. The area cuts the topographic contour of 68 to 77m amsl. 

In general, the results of such studies revealed a negative and positive trend in the GWL time series. Groundwater management and protection, on the other hand, need the use of optimal management methods. However, groundwater management requires the application of effective management methods. So yet, no research has been conducted on the IGP(Indo-Gangetic plains) in India. As a result, the present study uses statistical and graphical methods to determine the spatial-temporal variation of groundwater levels based on data from the GWL of the Ghazipur district. The non-parametric test was used to find trends in groundwater levels. This study is helpful in the sustainable management  and development of the water resources in the Ghazipur district, Uttar Pradesh

Material and Methods

Study area 

In India, the IGP is regarded as the world's most fertile land for agriculture. The IGP (Indo-Gangetic Plain) encompasses the entire state of Uttar Pradesh. The majority of the soils in this study are deep silty-loam soils, which are favourable for agricultural purposes. This zone contributes a significant quantity of freshwater from the Himalayan snow which is important for groundwater recharge. The border of Uttar Pradesh touches Nepal, Himachal Pradesh, Haryana, Rajasthan, Madhya Pradesh and Bihar on the North, Northwest,  West,  Southwest, South & South-West, and East side, respectively. The present study was done for the Ghazipur district of Uttar Pradesh which is situated in the Eastern part of the Gangetic plain, having an areal extent from  25019’to 25054’N latitude and  8304’ to  83058’E longitude.  In the current study, 39 sites were collected from the 13 blocks of the Ghazipur district to explore the spatial-temporal distribution and trend of groundwater levels. The location map is illustrated in Figure 1.

Figure 1: Study area.

 

Click here to view Figure 

Material and Methods

GWL data sets of  PRM  and PTM seasons for the period 1998-2018 have been taken from the State Groundwater Department, Uttar Pradesh. There are 39  ground Water Level (GWL) stations that are considered under 13 blocks of Ghazipur districts, which are situated in Uttar Pradesh. To detect the temporal trend, the MMK  test was used while for spatial variation, the IDW method has opted.

Modified  Mann–Kendall Test (MMK)

Bias-Corrected Pre-whitening (BCPW)

A time series X= x1, x2, . . . , xn, with a linear trend that follows a first ordered serial correlation process can be specified as      

Where,

Xt and Xt?1 - data collected at time t and t?1

? -  the serial correlation coefficient

? - constant intercept term

? - represents the trend slope related to time

?t - noise term that is uncorrelated

The matrix calculation shown below yields the calculated values of ?, ?, and ?.

 Where, Z is the matrix of dimension  (n ? 1)·3, in which the second column holds (n ? 1) values equal to 1, the third column contains the numbers 2 to n and y is a vector of dimension (n ? 1)·1 holding the data x2 to xn. The bias-corrected serial correlation coefficient ? ? 20,21 is estimated using the formula given in Equation (3). This value is used in BCPW and trend analysis.

Inverse Distance Weighted (IDW) 

The IDW technique with ArcMap 10.4 environment was used to prepare spatial GWL variation maps for the PRM  and PTM seasons.  In the IDW  technique, the weightage of the given point is specified to be in inverse relation to its distance from the calculated point. The formula is given below.:                

             

where: 

 = value to be  calculated 

xi= known magnitude  

d1, d2, d3,d4 …, d= distance from the n observations points to the calculated point n.

Results and Discussion

The water table fluctuation trends can be studied using continuous records of  PRM and PTM groundwater levels. The study highlights the groundwater level trend at 39 locations under 13 blocks of Ghazipur district. The GWL trend was detected from the Modified Mann-Kendall test (Bias-Corrected Pre-whitening ) at a 5 % significance level. In the trend analysis for 39 locations, there are four primary categories two show the negative trend i.e., negative significant and negative (Z-statistics values <-1.96 and -1.96 to 0) and the other two show positive trend i.e., positive and positive significant ( Z-statistics values 0 to 1.96 and >1.96). The value of the upward or downward trend was calculated by Sen's slope magnitudes. 

Statistical Analysis

In the current study, during PRM and PTM seasons, 39 locations have been analysed using average, standard deviation (SD) and coefficient of variation (CV).In the PRM, the values of mean, SD and CV varied from 3.16 m (Ranipur) to 12.71 m (Rohipur ), 0.31 (Deoria ) to 3.68 (Kokilpura ) and 5.17 % (Tajpur) to 67.44 % (Rohipur), respectively. However, in the  PTM season, it varied from 1.76 m (Deval) to 9.09  m (Ranipurt ), 0.53 (Daulatnagar ) to 2.95 (Dharvara) and 19.78 % (Karanda thana ) to 69.40  % (Dharvara) respectively. Table 1 shows station-by-station GWL fluctuations and their statistics.

Table 1:  Statistics of GWL from 1998 to 2018.

Block

Station 

PRM 

PTM 

Mean 

SD

CV(%)

Mean 

SD

CV(%)

Barachaur

Barachaur

5.26

0.75

14.35

3.01

1.05

34.88

Shermath 

6.13

1.57

25.59

4.81

1.58

32.87

Kokilpura

6.29

3.68

58.43

6.28

1.55

24.67

Bhadaura

Baksada

7.39

1.55

20.95

2.91

1.41

48.41

Deval

3.91

1.12

28.73

1.76

0.73

41.47

Gahmar thana

4.8

0.9

18.66

2.5

0.69

27.46

Bhawarkol

Beerpur

4.96

1.72

34.67

2.23

0.78

34.77

Bhawarkol

4.27

1.02

23.87

2.13

0.85

40.21

Mirzabad

6.58

1.01

15.37

4.34

1.39

32.1

Virno

Dahebua

5.51

1.11

20.17

2.91

0.97

33.28

Mohanpur 

6.55

1.25

19.06

3.75

1.55

41.24

Tanti

4.86

1.28

26.44

2.99

1.38

46.09

Ghazipur

Faxganj

12.12

1.01

8.32

6.94

1.51

21.76

Ranipurt

12.71

0.95

7.5

9.09

1.92

21.08

Rohipur

3.16

2.13

67.44

2.04

1.04

51.12

Zamania

Deoria

5.67

0.31

5.41

2.57

0.78

30.29

Devaitha

4.93

1.37

27.78

1.98

1.15

58.36

Tajpur

6.14

0.32

5.17

3.08

0.63

20.5

Karanda

Chochakpur

11.9

1.58

13.26

8.54

1.74

20.34

Gosandrapur

8.67

1.57

18.16

6.65

1.51

22.68

Karanda thana 

9.85

0.98

9.9

7.2

1.42

19.78

Kasimabad

Dharvara

6.58

2.51

38.19

4.25

2.95

69.4

Gangauli

4.42

0.61

13.82

2.47

0.83

33.46

Khajuha

4.32

0.78

17.96

1.88

0.57

30.45

Manihari

Hansrajpur

6.33

1.3

20.48

2.94

1.12

38.07

Katghara

5.17

0.96

18.59

2.87

1.27

44.26

Madhuvan

6.23

1.14

18.35

4.59

1.13

24.66

Mardah

Bauri

4.39

2.15

48.98

3.05

0.93

30.42

Gehurhi

6.74

2.74

40.7

4.74

1.84

38.89

Pirthipur

3.8

1.69

44.65

1.98

1.34

67.77

Mohammadabad

Pakka inara

7.38

1.4

18.97

3.76

1.33

35.33

Parsa

6.19

1.28

20.69

3.96

1.87

47.14

Ichauli

5.2

0.91

17.45

3.04

1.67

54.73

Reotipur 

Medanipur

7.13

0.87

12.22

5.61

1.11

19.85

Reotipur

6.28

1.58

25.17

4.87

1.43

29.39

Utrauli

6.81

1.05

15.39

4.59

1.23

26.89

Sadat

Daulat Nagar 

5.14

0.58

11.2

2.32

0.53

22.98

Kaura

3.45

1.11

32.15

2.12

1.24

58.61

Ukraon 

5.1

2.02

39.61

2.89

1.38

47.75

Spatial Variation  of CV values of  Groundwater level (GWL)

The spatial maps were generated using average GWL and CV (%) results from all stations from 1998 to 2018. Figure 2 shows a spatial map of GWL fluctuation based on CV (%) values during the PRM and PTM seasons.

 Figure 2: GWL Variation (m) during the PRM and PTM periods from 1998 to 2018.

 

Click here to view Figure 

Analysis of Spatial-temporal distribution of Groundwater level during a period (1998, 2008 and 2018).

In the current study, the spatial-temporal distribution maps have been prepared for all the locations during the PRM  and PTM seasons as shown in figure  3 for 1998, 2008 and 2018. In PRM season during the period of 1998, 2008 and 2018, the area varying from 6.26 % (10-12.5 mbgl) to 43%  (2.5-5 mbgl ),  0.19 % (10-12.5 mbgl) to 66.30 (2.5-5 mbgl ), 2.25 % (10-12.5 mbgl) to  66.42 % (5-7.5 mbgl), respectively. Whereas, in PTM season of 1998, 2008 and 2018, the area varied from  2.15 % m (7.5-10 mbgl) to 53.78 (5-7.5 mbgl ), 0.40 % (7.5-10 mbgl ) to 84.48 % (2.5-5 mbgl), 0.15 %(10-12.5 mbgl) to  48.37 %(2.5-5 mbgl), respectively.

Figure 3: Spatial-temporal distribution of groundwater in (m) during PRM and PTM for the period 1998, 2008 and 2018.

 

Click here to view Figure 

GWL Trend Analysis during 1998-2018

 Table 2:  MMK test results for PRM and PTM during the period 1998-2018.

Block 

Location

PRM(?)

Sen   Slope values   

PTM (?)

Sen   Slope values   

Barachaur

Barachaur

1.20

0.04

3.08b

0.12

Shermath 

2.24b

0.07

3.08b

0.21

Kokilpura

0.39

0.02

2.17b

0.12

Bhadaura

Baksada

1.01

0.06

1.46

0.08

Deval

1.59

0.06

-1.01

-0.03

Gahmar thana

0.23

0.01

0.88

0.03

Bhawarkol

Beerpur

1.65

0.07

2.56b

0.07

Bhawarkol

-1.91

-0.05

-0.03

0.00

Mirzabad

-0.55

-0.02

-0.42

-0.03

Virno

Dahebua

1.72

0.08

1.65

0.06

Mohanpur 

2.89b

0.14

1.65

0.10

Tanti

2.89b

0.14

2.76b

0.14

Ghazipur

Faxganj

0.42

0.03

0.62

0.05

Ranipurt

3.80b

0.09

2.76b

0.16

Rohipur

-2.21a

-0.15

0.03

0.00

Zamania

Deoria

0.62

0.01

-0.81

-0.02

Devaitha

2.30b

0.11

0.55

0.01

Tajpur

0.16

0.00

-2.50a

-0.08

Karanda

Chochakpur

0.94

0.04

0.55

0.05

Gosandrapur

0.49

0.02

1.07

0.06

Karanda thana 

0.94

0.04

0.29

0.03

Kasimabad

Dharvara

2.76b

0.16

2.11b

0.18

Gangauli

2.50b

0.06

1.52

0.05

Khajuha

-0.10

0.00

1.01

0.02

Manihari

Hansrajpur

1.43

0.05

1.52

0.08

Katghara

-1.59

-0.05

0.42

0.04

Madhuvan

1.40

0.04

1.52

0.07

Mardah

Bauri

0.36

0.05

-0.55

-0.03

Gehurhi

0.42

0.04

-0.10

0.00

Pirthipur

1.14

0.08

1.52

0.08

Mohammadabad

Pakka inara

-0.23

0.00

-1.65

0.00

Parsa

2.50b

0.13

2.69b

0.22

Ichauli

2.63b

0.10

1.01

0.06

Reotipur 

Medanipur

0.29

0.00

1.72

0.07

Reotipur

1.72

0.06

0.55

0.04

Utrauli

2.63b

0.10

2.63b

0.13

Sadat

Daulat Nagar 

-1.14

-0.03

-1.46

-0.03

Kaura

1.98b

0.08

1.01

0.06

Ukraon 

0.68

0.05

2.24b

0.11

Note: where, a and b indicate the significantly increasing & decreasing trend at 5% significant level, respectively.

In the current study, results are examined in two ways - PRM and PTM. In PRM season out of 39 stations, 31 stations are representing a positive trend of GWL and the remaining 8 are negative. However, the result of GWL varied from -0.15 m/yr (Rohipur site of Ghazipur block ) to 0.16 m/yr (Dharvara site of  Kasimabad block). In the PTM period from total of 39 sites, 9 stations are representing a falling trend and for the remaining 30 stations, rising trend of GWL was observed. whereas, the result of GWL differs from -0.08 m/yr (Tajpur site of  Zamania to 0.22 m/yr (Parsa site of  Mohammadabad block ). The Z-statistics of the total 39 locations during the PRM period differ from -2.50  to 3.08 m/yr. In the PRM period, 31 stations are representing a downward trend and the remaining 8 are reflecting an upward trend. Although, from all of them, Rohipur stations have followed a significant falling trend, while Shermath, Mohanpur, Tanti, Ranipurt, Devaitha, Dharvara, Gangauli, Parsa, Ichauli, Utrauli and Kaura stations have followed significant upward trends at a 5%  significance level, respectively. In the PTM season, 9 sites are representing a downward trend and the rest 30 are showing an upward trend. However, from all of them, the Tajpur site is representing a significant negative trend and, Barachaur, Shermath, Kokilpura, Beerpur, Tanti, Ranipurt, Dharvra, Parsa, Utrauli and  Ukraon sites are representing significant positive trends at 5% significance level, respectively. The summarised result of the MMK Test (Bias corrected pre-whitening test) and Sen’s slope magnitude is detailed in Table 2. The average minimum and maximum GWL during the PRM season varied from 3.16 m to 12.71 m, and in the PTM season varied from 1.76 m to 9.09 m. Ghazipur, Karanda and Reotipur blocks of the Ghazipur district had the highest groundwater withdrawal in both PRM and PTM seasons. Hence, it ranged from 12.71to 9.09, 11.90 to 8.54 and  6.58 to  4.25 in PRM and PTM  periods, respectively. The south and southwest areas of the Ghazipur district were determined to be groundwater depletion zones when compared to all of the stations in the district. As a result, the majority of locations in the Barachaur, Virno, Ghazipur, Kasimabad, Zamania, Mohammadabad, Reotipur, and Sadat blocks of the Ghazipur district show a considerable rising trend, indicating that the GWL is declining in these areas as a result of excessive groundwater extraction.

Conclusion

The Influence of groundwater extraction on fluctuations in the water contained in an aquifer is revealed by long-term groundwater fluctuation trends, which is critical for determining the usable groundwater potential. Pre-monsoon season  GWL in Ghazipur district, Uttar Pradesh, revealed a significant rising trend from 1998 to 2018, and PTM  season GWL showed a significant rising trend from 1998 to 2018. The value of GWL  ranged from -0.15 m/yr (Rohipur ) to 0.16 m/yr (Dharvara ) during PRM  and, the value of GWL ranged from -0.08 m/yr (Tajpur) to 0.22 m/yr (Parsa)  during PTM seasons. Most of the stations (Shermath, mohanpur, Tanti, Ranipurt, Devaitha, Dharvara, Gangauli, Parsa, Ichauli, Utrauli and Kaura ) in the Ghazipur district showed a significant rising trend(s) which depicts the GWL is declining at these sites due to excessive of groundwater. Hence, effective management plans are required to conserve GW storage at specified locations. The MMK test was shown to be an appropriate method for identifying historical trends in GWL fluctuations. Outcomes revealed from study can be useful for ensuring sustainable groundwater management, agriculture & sustainable development of the district.

Acknowledgements

The authors would like to thank  Banaras Hindu University, Varanasi for granting the PhD research work. The authors are also profoundly grateful to the National  Institute of Hydrology  Roorkee for providing the laboratory facility.

Conflict of interest

There is no conflict of interest in the publication of a manuscript by all the authors.

Funding source

There is no funding or financial support for this research work.

References

  1. Abdullahi M.G, Toriman M.E, Gasim M.B, Garba I . Trends Analysis of Groundwater: Using  Non-Parametric Methods in Terengganu Malaysia. J Earth Sci Clim Change. 2015; 06(01). 
    CrossRef
  2. Yilmaz A.G, Shanableh. A Al-Ruzouq RI, Kayemah N. Spatio-temporal trend analysis of groundwater levels in Sharjah, UAE. Int J Environ Sci Dev. 2020;11(1):9-14.
    CrossRef
  3. Mallon, A., Rauf, A. U., Daud, A., Hatta, M., Al-Madhoun, W., Amiruddin, R., ... & Astuti, R. D. P. (2022). Health risk assessment of potentially toxic elements in Maros karst groundwater: a Monte Carlo simulation approach. Geomatics, Natural Hazards and Risk13(1), 338-363.
    CrossRef
  4. Rauf, A. U., Mallongi, A., Daud, A., Hatta, M., & Astuti, R. D. P. (2021). Ecological risk assessment of hexavalent chromium and silicon dioxide in well water in Maros Regency, Indonesia. Gaceta Sanitaria, 35, S4-S8.
    CrossRef
  5. Bonsor H.C, MacDonald A. M, Ahmed K. M, W. Burgess W. G, Basharat M, Calow C.R, Dixit A,  Foster S.S.D, Krishan G, Lapworth  DJ, Moench M, Mukherjee  A,  Rao M.S, Shamsudduha M, Smith. Taylor R.G, Tucker. J, F. Van Steenbergen F,  Yadav A.K,  Zahid A. Hydrogeological typologies of the Indo-Gangetic basin alluvial aquifer, South Asia, Hydrogeol J . 2017; 25 (5)1377–1406
    CrossRef
  6.  MacDonald A. M,   Bonsor, H. C,  Ahmed K. M,  Burgess W. G,  Basharat M,  Calow  R.C, Dixit  A, Foster, S. S. D, Krishan G,  Lapworth  D. J, Lark   R. M,  Moench M,  Rao, M. S,  Shamsudduha  M, Smith  L, Taylor R. G,  Tucker J,  van Steenbergen F,   Yadav S. K. Groundwater quality and depletion in the Indo-Gangetic Basin mapped from in situ observations. Nature Geoscience.2016, 762–766.
    CrossRef
  7. Wada Y, Van Beek L.P.H, Van Kempen C.M, Reckman J.W.TM, Vasak S, Bierkens M.F.P. Global depletion of groundwater resources. Geophys Res Lett;37:L20402
    CrossRef
  8. Siebert S, Feick S. (2007). Global map of irrigation areas versions 4.0.1. Johann Wolfgang Goethe University, Frankfurt am Main, Germany; FAO, Rome.
  9. Roopal S . Overview of groundwater in India.2016.1-12
  10. CGWB. Groundwater year book India. Central Ground Water Board Ministry of Water Resources Government of India Faridabad.2012; 1-63.
  11. Patle G.T, Singh D.K, Sarangi A, Rai A, Khanna M, Sahoo R.N. Time series analysis of groundwater levels and projection of future trends. J Geol Soc India. 2015;85(2):232-242. 
    CrossRef
  12. Salam, R., Islam, T., Md, A. R., & Islam, S. (2020). Spatiotemporal distribution and prediction of groundwater level linked to ENSO teleconnection indices in the northwestern region of Bangladesh. Environment, Development and Sustainability22(5), 4509-4535.
    CrossRef
  13. Noori, A. R., & Singh, S. K. (2021). Spatial and temporal trend analysis of groundwater levels and regional groundwater drought assessment of Kabul, Afghanistan. Environmental Earth Sciences80(20), 1-16.
    CrossRef
  14. Gelebo, A. H., Kasiviswanathan, K. S., & Khare, D. (2022). Assessment of the spatial-temporal distribution of groundwater recharge in a data-scarce large-scale African river basin. Environmental Monitoring and Assessment194(3), 1-17.
    CrossRef
  15. Tabari H, Somee B.S, Zadeh M.R. Testing for long-term trends in climatic variables in Iran. Atmos Res. 2011;100(1):132-140.
    CrossRef
  16. Thakur G.S, Thomas T. Analysis of groundwater levels for detection of trend in Sagar district, Madhya Pradesh. J Geol Soc India. 2011;77(4):303-308.
    CrossRef
  17. Krishan G, Chandniha  S.K, Lohani A.K. Rainfall trend analysis of Punjab, India using a statistical non-parametric test. Current World Environment. 2015;10(3): 792-800.
    CrossRef
  18.  Kumar P, Chandniha S.K, Lohani A.K, Krishan G, Nema A.K (2018). Trend Analysis of Groundwater Level Using Non-Parametric Tests in Alluvial Aquifers of Uttar Pradesh, India. Current World Environment.2018; 13(1).44-54.
    CrossRef
  19. Dhruv G, Tripathi V.K, Dhankar B. Trend detection Analysis of Seasonal Groundwater Levels in Arpa River Basin, Bilaspur District, Chhattisgarh, India. Int J Curr Microbiol Appl Sci. 2020;9(6):1425-1436. 
    CrossRef
  20. Hamed K.H. Enhancing the effectiveness of whitening in trend analysis of hydrologic data. J. Hydrol. 2009; 368, 143–155. 
    CrossRef
  21. Van Giersbergen N.P.A. On the effect of deterministic terms on the bias in stable AR models. Econ. Lett. 2005;89, 75–82. 
    CrossRef