Abstract
Necessity calls for the environmental aspects of groundwater to be evaluated and properly managed based on the observed spatial distribution with respect to quality, as it contributes to a significant portion of average water usage globally. Variations in groundwater quality in the Ibadan Metropolis might be a result of physical and chemical trends in the region leading to a decline in quality. The study was geared towards the spatial evaluation of groundwater quality using factor analysis and the Kriging algorithm. The parameters examined include pH, electrical conductivity, total dissolved solids, carbonates, chloride, nitrate, sulphate, calcium, sodium, magnesium, and potassium, which were sampled and analysed from the existing municipal deep wells in the Ibadan Metropolitan area; and distribution maps of each parameter were created using a geostatistical approach. Factor analysis examined the relationship between human activities and concentration levels. Semi-variograms were tested to ascertain the best-fitted model accuracy measures, average standard error, root mean square error, and root mean square error standardised. The groundwater index was calculated to ascertain the drinkability of the water in the study area. Overall, the result shows that the groundwater in the study area is suitable for consumption; drinking, and other uses. Kriging is a suitable assessment tool for modelling environmental parameters.
HIGHLIGHTS
Geo-statistics was adopted to model the spatial distribution of concentration levels of parameters.
Factor analysis was employed to elucidate the predominant lithological effect.
The GWQI assessed groundwater suitability in the study area.
Importance of geostatistical techniques in water quality modelling was presented.
Importance of research to individuals and relevant agencies was presented.
Graphical Abstract
INTRODUCTION
Globally, the consumption of groundwater is to a large extent by a substantial portion of the world population, qualifying it as the most significant natural resource (Belkhiri et al. 2020). Groundwater contributes to roughly 95% of accessible freshwater globally and 31.5% of average water usage (Murphy et al. 2017). Groundwater is an important commodity, particularly in semi-arid and arid regions that constitute around 15% of the land surface of Earth, and is the sole resource available for people living in many arid and semi-arid regions (Díaz-Alcaide & Martínez-Santos 2019; Elubid et al. 2019). Groundwater has become an indispensable source of drinking water worldwide and especially in developing countries, becoming a primary water resource whose quality support is the prerequisite of groundwater usage, and is crucial to human health and social development (Xiao et al. 2018). The interaction between groundwater and the mineral content of the aquifer components through which it passes is largely responsible for variation in groundwater chemistry (Bouteraa et al. 2019). Variations in groundwater quality might be a result of physical and chemical trends in a region determined by anthropogenic activities, leading to a decline in quality (Elubid et al. 2019; Ali & Ahmad 2020).
In comparison to surface water, groundwater has unrivalled benefits in terms of spatiotemporal availability, high stability, simple accessibility, good quality, and contamination resilience (Murphy et al. 2017; Gu et al. 2018). Even though groundwater is not instantly tainted, it is difficult to eradicate pollutants once they have been introduced (Jiang et al. 2019; Wang et al. 2021). Geo-environmental concerns arise as a result of the continued extraction of groundwater resources and the socioeconomic disparities of urbanisation (He & Wu 2019). For sustainable development and successful groundwater management, it is vital to determine the mechanisms responsible for groundwater chemistry (Pazand et al. 2018; Aragaw & Gnanachandrasamy 2021). Rising population and rapid agricultural growth are the leading causes of aquifer overexploitation, which results in the degradation of groundwater quality (Aragaw & Gnanachandrasamy 2021), constant salinisation of topsoil, and decreased crop production (Boudibi et al. 2019).
Groundwater is branded by appallingly low-slung movement gradation, with an average domicile timeline of about 1,500 years in the aquifers (Saito et al. 2020). Throughout the extensive residence stretch, it consumes a reasonable time-spell to interconnect with the adjacent media of the aquifers (Thomas 2021), and damaging elements such as fluoride, arsenic, and additional lethal elements can turn out to be dissolved (Wang et al. 2018; Adimalla et al. 2019; Marghade et al. 2019). Additionally, numerous isolated constituents in groundwater have been portrayed to be higher in recent decades in different areas all over the world (Dar et al. 2017). For example, nitrogen (nitrates, nitrites, and ammonia) in aquifers have been revealed to be foremost in both metropolitan and rural districts. The origins of these multiplexes instigate divergences from inherent grounds, like outflows and septic pools, to agrarian actions (Busico et al. 2020). The gradation of the toxic component in groundwater has congruently been recognised in speedy upsurges in many locations, for instance, landfill spots, effluent/domesticated water irrigation lands, mining zones, and industrial situates (Ahmadi et al. 2018). The decline of water quality has been described in several aquifers globally (Jia et al. 2018; Dube et al. 2020).
Over the years, the concept of geostatistical interpolation and spatial correlation and respective applications have been reported by diverse array of researchers globally (Fallah et al. 2019). A number of researchers have applied the techniques of geospatial statistics in the examination of groundwater quality variation (Gharbia et al. 2016; Johnson et al. 2018; Belkhiri et al. 2020). Geo-statistics is a spatial statistical technique that can be used to assess and represent the distribution of concentration spatially and temporally (Narany et al. 2014). It predicts the estimated values based on the relationship between the sample points and estimates the uncertainty of that prediction. Kriging is a linear interpolation procedure that is used to create probabilistic models of uncertainty relating to the values of the attributes. Hence, when spatial information is mapped together, it creates a powerful means for monitoring and management (Ali & Ahmad 2020).
Recent advances in the use of the geographic information system (GIS) have expanded its capabilities for spatiotemporal data to establish the distribution pattern of water quality variables (Bouteraa et al. 2019), and to map groundwater quality evaluation using geo-statistics (Nas & Berktay 2010; Selmane et al. 2022). To map the spatial variability, geo-statistics uses Kriging, the best linear unbiased estimator for predicting missing data at unknown places, which is the most widely used approach for environmental studies, particularly in ecological and water quality investigations. Recent advances in the use of the GIS have expanded its capabilities for spatiotemporal data to establish the geographic range of groundwater quality parameters and to map groundwater quality evaluation using geo-statistics (Venkatramanan et al. 2016).
Groundwater quality science has advanced rapidly during the last three decades, and significant progress has been made (Li et al. 2019). Kriging is a well-known geostatistical interpolation approach that is based on the spatial connections between the various measures surrounding the forecast site (Obaid & Mohammed 2020). The approach is an estimating procedure that determines unknown values using known values and a variogram (Selmane et al. 2022). When estimating values at unknown positions, it considers both the distance and the degree of variance between known data positions (Rata et al. 2018).
MATERIALS AND METHODS
Study area description
The study site is underlain by a basement complex, characterised by igneous and metamorphic rocks of the Precambrian era. Granite quartzite and migmatite are the major rock types (Egbinola & Amanambu 2014). Usually, the rock types found within this area are regarded as poor aquifers, given their low permeability and porosity (Egbinola & Amanambu 2014; Amanambu 2015). Though, some levels of porosity and permeability are developed through fractures and weathering, which in turn depends on the parent material. Therefore, the accessibility of groundwater depends on the weathered material's level and the extent to which joints and fractures are present (Egbinola & Amanambu 2014).
Methodology
To assess the level of groundwater contamination, sampling of groundwater is done from hand-dug well located in the study area's residential and agricultural areas. Good quality narrow mouth screw-capped polypropylene bottles of 2-l capacity were used to collect the sample. Bottles were first washed with dilute nitric acid, and then rinsed thrice with DM (demineralised) water. The groundwater samples retrieved in prewashed polyethylene bottles were analysed for the following parameters: pH, E.C., and TDS, and were taken onsite with the aid of a multi-parameter water meter. The concentrations of calcium (Ca+) and magnesium (Mg+) were measured by the volumetric method in the presence of an aqueous ethylenediamine tetraacetic acid (EDTA) solution; this method was also used for titration of carbonates (HCO3). Chloride (Cl−) was determined in the neutral medium by a titrated solution of silver nitrate in the presence of potassium chromate. The measurement of nitrates () and sulphate (
) was carried out by a spectrophotometric method (Bashir et al. 2020), and potassium (K+) and sodium (Na+) measurements were determined by a flame photometer (Bouteraa et al. 2019).
RESULTS AND DISCUSSION
Groundwater hydrochemistry of the study area
A descriptive analysis was carried out on the data, as well as a test for normality with respect to the distribution of the data. The result of the analysis is given in Table 1; the mean pH value is 6.48 while the pH of the whole dataset ranges between 4.40 (minimum) and 7.10 (maximum), this shows that the water samples obtained lie within the permissible limit for natural and potable water, respectively. The range of electrical conductivity (E.C.) lies within 270 μS/cm (minimum) and 1,870 μS/cm (maximum), while the average E.C. is 893.38 μS/cm. The total dissolved solids (TDS) ranges between a minimum of 142 mg/l and a maximum of 1,720 mg/l, with a mean TDS of 667.88 mg/l. It is obvious that there is a strong affinity between the presence of high TDS and high values of E.C. The result of the data (Table 2) skewness analysis revealed that majority of the data sets of the parameters under consideration were positively skewed, however, some are more positively skewed than others. Noteworthy is the skewness of the parameters, ‘pH, calcium, and sulphate’ which are the negatively skewed parameters under consideration. In conclusion the dataset does not entirely appear to be normally distributed, however, these were normalised by employing the log-normal distribution during analysis.
Summary statistics of parameters
Parameter . | N . | Minimum . | Maximum . | Mean . | Std. deviation . | Skewness . | |
---|---|---|---|---|---|---|---|
pH | 60 | 4.40 | 7.10 | 6.4880 | 0.49104 | −2.133 | 0.309 |
EC (μS/cm) | 60 | 270.00 | 1,870.00 | 893.5585 | 326.55731 | 0.650 | 0.309 |
TDS (mg/l) | 60 | 142.00 | 1,720.00 | 536.8767 | 290.22752 | 2.322 | 0.309 |
Sodium (mg/l) | 60 | 5.10 | 59.52 | 31.9623 | 13.94075 | 0.151 | 0.309 |
Magnesium (mg/l) | 60 | 3.73 | 9.50 | 6.0187 | 1.25199 | 0.496 | 0.309 |
Calcium (mg/l) | 60 | 1.30 | 7.37 | 4.7102 | 1.33943 | −0.618 | 0.309 |
Chloride (mg/l) | 60 | 57.60 | 1,476.00 | 445.0062 | 304.69540 | 0.899 | 0.309 |
Potassium (mg/l) | 60 | 0.00 | 6.10 | 2.2550 | 1.30636 | 0.763 | 0.309 |
Carbonate (mg/l) | 60 | 100.50 | 609.00 | 253.0008 | 111.75046 | 1.116 | 0.309 |
Sulphates (mg/l) | 60 | 0.22 | 35.13 | 19.6747 | 9.78644 | −0.039 | 0.309 |
Nitrates (mg/l) | 60 | 0.63 | 39.06 | 9.6590 | 7.43786 | 2.008 | 0.309 |
Parameter . | N . | Minimum . | Maximum . | Mean . | Std. deviation . | Skewness . | |
---|---|---|---|---|---|---|---|
pH | 60 | 4.40 | 7.10 | 6.4880 | 0.49104 | −2.133 | 0.309 |
EC (μS/cm) | 60 | 270.00 | 1,870.00 | 893.5585 | 326.55731 | 0.650 | 0.309 |
TDS (mg/l) | 60 | 142.00 | 1,720.00 | 536.8767 | 290.22752 | 2.322 | 0.309 |
Sodium (mg/l) | 60 | 5.10 | 59.52 | 31.9623 | 13.94075 | 0.151 | 0.309 |
Magnesium (mg/l) | 60 | 3.73 | 9.50 | 6.0187 | 1.25199 | 0.496 | 0.309 |
Calcium (mg/l) | 60 | 1.30 | 7.37 | 4.7102 | 1.33943 | −0.618 | 0.309 |
Chloride (mg/l) | 60 | 57.60 | 1,476.00 | 445.0062 | 304.69540 | 0.899 | 0.309 |
Potassium (mg/l) | 60 | 0.00 | 6.10 | 2.2550 | 1.30636 | 0.763 | 0.309 |
Carbonate (mg/l) | 60 | 100.50 | 609.00 | 253.0008 | 111.75046 | 1.116 | 0.309 |
Sulphates (mg/l) | 60 | 0.22 | 35.13 | 19.6747 | 9.78644 | −0.039 | 0.309 |
Nitrates (mg/l) | 60 | 0.63 | 39.06 | 9.6590 | 7.43786 | 2.008 | 0.309 |
Concentration level of parameters
SS . | pH . | EC (μS/cm) . | TDS (mg/l) . | K+ (mg/l) . | Na+ (mg/l) . | Mg2+ (mg/l) . | Ca+ (mg/l) . | Cl− (mg/l) . | ![]() | ![]() | ![]() |
---|---|---|---|---|---|---|---|---|---|---|---|
1 | 6.80 | 548.00 | 471.90 | 92.32 | 40.50 | 4.94 | 7.37 | 57.60 | 156.04 | 33.34 | 39.06 |
2 | 6.80 | 432.00 | 658.60 | 42.58 | 40.38 | 6.13 | 5.35 | 57.60 | 151.05 | 29.42 | 20.10 |
3 | 6.80 | 1,020.00 | 625.60 | 66.25 | 40.31 | 5.72 | 2.85 | 86.40 | 156.05 | 26.31 | 6.40 |
4 | 6.90 | 1,010.00 | 330.50 | 96.03 | 40.58 | 7.15 | 5.13 | 151.20 | 156.03 | 31.28 | 3.05 |
5 | 6.80 | 990.00 | 831.60 | 99.05 | 40.37 | 5.54 | 5.57 | 115.20 | 100.50 | 21.79 | 2.97 |
6 | 6.90 | 779.00 | 422.40 | 73.28 | 40.54 | 5.54 | 5.28 | 64.80 | 244.04 | 29.11 | 5.38 |
7 | 6.85 | 1,870.00 | 508.80 | 40.23 | 45.85 | 5.87 | 5.47 | 108.00 | 250.05 | 32.65 | 4.70 |
8 | 7.01 | 1,115.00 | 557.70 | 47.32 | 45.53 | 5.47 | 3.48 | 208.30 | 156.05 | 17.69 | 8.78 |
9 | 7.00 | 1,294.00 | 924.00 | 97.04 | 40.56 | 3.73 | 5.54 | 525.60 | 200.04 | 10.26 | 3.76 |
10 | 6.81 | 1,470.00 | 324.70 | 45.89 | 42.51 | 5.38 | 4.07 | 180.00 | 200.20 | 11.26 | 8.22 |
11 | 6.80 | 1,420.00 | 271.90 | 31.25 | 46.56 | 5.37 | 5.29 | 237.60 | 290.06 | 19.66 | 10.75 |
12 | 7.00 | 1,470.00 | 452.70 | 61.85 | 52.19 | 5.37 | 5.40 | 302.60 | 154.04 | 11.56 | 13.29 |
13 | 6.80 | 270.00 | 361.60 | 59.75 | 40.36 | 5.06 | 5.52 | 187.20 | 144.50 | 9.35 | 14.27 |
14 | 6.80 | 1,710.00 | 289.00 | 64.55 | 59.52 | 5.04 | 5.82 | 208.30 | 250.04 | 27.33 | 12.71 |
15 | 6.81 | 715.00 | 673.20 | 66.62 | 57.05 | 5.29 | 5.58 | 288.00 | 156.05 | 33.59 | 14.76 |
16 | 6.70 | 998.00 | 666.50 | 55.40 | 50.06 | 5.06 | 5.85 | 259.20 | 156.05 | 10.79 | 18.68 |
17 | 6.80 | 948.00 | 653.40 | 47.40 | 50.02 | 5.54 | 5.30 | 170.30 | 156.05 | 22.53 | 10.72 |
18 | 7.00 | 480.50 | 950.40 | 55.39 | 45.08 | 5.84 | 5.07 | 107.00 | 156.03 | 13.78 | 5.98 |
19 | 7.00 | 1,260.01 | 564.50 | 46.89 | 47.65 | 5.03 | 3.36 | 109.80 | 156.03 | 23.86 | 20.12 |
20 | 6.70 | 640.00 | 1,470.00 | 60.00 | 45.52 | 5.47 | 3.14 | 187.50 | 156.04 | 24.21 | 9.99 |
21 | 6.80 | 771.00 | 1,470.00 | 50.63 | 50.52 | 5.45 | 2.54 | 152.00 | 200.20 | 28.15 | 2.79 |
22 | 6.80 | 845.00 | 142.00 | 60.54 | 56.81 | 5.06 | 5.33 | 206.00 | 244.04 | 31.82 | 3.34 |
23 | 6.70 | 1,400.00 | 1,720.00 | 62.35 | 45.04 | 5.46 | 5.14 | 409.57 | 290.85 | 9.67 | 6.79 |
24 | 6.80 | 492.00 | 603.50 | 56.37 | 48.58 | 5.17 | 5.39 | 242.00 | 156.05 | 12.39 | 8.21 |
25 | 6.80 | 412.00 | 752.60 | 59.01 | 50.65 | 5.64 | 5.67 | 460.50 | 144.50 | 11.68 | 1.83 |
26 | 6.30 | 553.00 | 353.90 | 40.40 | 35.40 | 5.90 | 7.30 | 360.00 | 609.00 | 18.97 | 2.53 |
27 | 6.80 | 602.00 | 350.00 | 62.40 | 22.40 | 4.60 | 2.30 | 602.00 | 276.60 | 15.78 | 9.37 |
28 | 6.20 | 860.00 | 540.00 | 56.50 | 20.70 | 7.60 | 4.90 | 429.00 | 219.44 | 25.23 | 11.15 |
29 | 6.60 | 884.00 | 390.00 | 64.00 | 20.70 | 6.30 | 5.40 | 724.60 | 284.72 | 26.54 | 9.87 |
30 | 6.60 | 924.00 | 366.70 | 64.00 | 19.60 | 8.70 | 3.00 | 360.00 | 203.00 | 21.65 | 11.56 |
31 | 6.20 | 818.00 | 500.00 | 57.80 | 20.70 | 7.50 | 4.30 | 439.50 | 224.13 | 2.16 | 37.56 |
32 | 6.30 | 944.00 | 480.00 | 53.40 | 20.50 | 7.70 | 5.70 | 408.00 | 210.07 | 13.79 | 18.60 |
33 | 6.20 | 403.00 | 257.90 | 24.40 | 8.60 | 6.30 | 4.60 | 144.00 | 460.00 | 15.73 | 5.20 |
34 | 6.20 | 753.00 | 350.00 | 58.10 | 22.90 | 6.30 | 1.30 | 753.00 | 225.40 | 9.70 | 1.85 |
35 | 4.40 | 820.00 | 420.00 | 75.30 | 27.20 | 5.90 | 5.60 | 820.00 | 353.00 | 6.47 | 1.77 |
36 | 6.30 | 513.00 | 328.50 | 49.30 | 15.30 | 6.80 | 6.10 | 252.00 | 446.00 | 13.36 | 4.88 |
37 | 6.70 | 915.00 | 420.00 | 42.50 | 25.60 | 4.40 | 6.40 | 915.00 | 187.48 | 15.09 | 3.00 |
38 | 6.50 | 753.00 | 481.90 | 77.70 | 23.40 | 9.50 | 6.60 | 558.00 | 469.00 | 11.64 | 7.08 |
39 | 6.00 | 1,044.00 | 600.00 | 58.70 | 28.70 | 7.30 | 4.90 | 930.00 | 283.00 | 9.05 | 2.26 |
40 | 6.70 | 1,283.00 | 821.10 | 98.80 | 26.80 | 5.60 | 5.60 | 1,476.00 | 353.00 | 10.13 | 6.92 |
41 | 6.40 | 957.00 | 390.00 | 43.90 | 24.00 | 5.60 | 3.20 | 957.00 | 353.00 | 32.33 | 9.45 |
42 | 6.50 | 596.00 | 400.00 | 28.80 | 24.50 | 4.60 | 4.70 | 596.00 | 276.60 | 32.97 | 11.99 |
43 | 6.60 | 823.00 | 420.00 | 29.10 | 25.10 | 4.50 | 4.60 | 823.00 | 225.40 | 35.13 | 12.97 |
44 | 6.80 | 706.00 | 400.00 | 41.20 | 26.10 | 4.20 | 5.80 | 706.00 | 161.29 | 31.47 | 11.41 |
45 | 4.70 | 770.00 | 430.00 | 41.80 | 26.70 | 4.00 | 6.20 | 770.00 | 283.00 | 28.66 | 13.46 |
46 | 6.30 | 883.00 | 309.10 | 26.20 | 9.40 | 7.10 | 2.90 | 306.00 | 340.00 | 33.62 | 17.38 |
47 | 6.30 | 1,083.00 | 693.10 | 91.20 | 26.10 | 7.50 | 2.50 | 1,062.00 | 426.00 | 20.69 | 11.82 |
48 | 6.20 | 9,64.00 | 379.50 | 29.30 | 10.80 | 7.90 | 5.10 | 486.00 | 113.00 | 27.80 | 7.08 |
49 | 6.10 | 1,004.00 | 328.30 | 41.90 | 13.30 | 6.80 | 3.40 | 600.00 | 147.00 | 35.13 | 21.22 |
50 | 7.10 | 813.00 | 520.30 | 64.10 | 17.80 | 4.30 | 4.90 | 828.00 | 283.00 | 26.94 | 11.09 |
51 | 6.30 | 611.00 | 320.00 | 56.10 | 23.40 | 4.30 | 2.10 | 611.00 | 283.00 | 5.39 | 1.69 |
52 | 5.90 | 1,084.00 | 450.00 | 50.70 | 25.70 | 7.40 | 2.30 | 910.00 | 353.00 | 0.22 | 3.82 |
53 | 6.30 | 902.00 | 550.00 | 56.10 | 20.60 | 7.60 | 2.30 | 418.50 | 214.76 | 5.17 | 5.29 |
54 | 5.80 | 1,123.00 | 400.00 | 55.20 | 24.80 | 7.50 | 5.70 | 712.00 | 163.51 | 29.96 | 10.11 |
55 | 6.00 | 513.00 | 328.30 | 9.80 | 5.10 | 6.40 | 4.80 | 558.00 | 423.00 | 15.52 | 3.73 |
56 | 6.10 | 673.00 | 430.70 | 63.90 | 18.40 | 5.80 | 4.40 | 576.00 | 501.00 | 4.96 | .63 |
57 | 6.00 | 1,183.00 | 757.10 | 99.60 | 38.00 | 7.30 | 4.90 | 540.00 | 370.00 | 26.32 | 7.47 |
58 | 6.10 | 483.00 | 309.10 | 51.10 | 15.80 | 6.90 | 5.10 | 103.00 | 473.00 | 17.53 | 9.25 |
59 | 6.40 | 986.00 | 440.00 | 57.40 | 20.50 | 7.80 | 4.80 | 397.50 | 205.38 | 9.56 | 8.67 |
60 | 6.40 | 1,028.00 | 600.00 | 59.70 | 20.40 | 7.90 | 4.40 | 487.00 | 200.69 | 12.34 | 10.76 |
SS . | pH . | EC (μS/cm) . | TDS (mg/l) . | K+ (mg/l) . | Na+ (mg/l) . | Mg2+ (mg/l) . | Ca+ (mg/l) . | Cl− (mg/l) . | ![]() | ![]() | ![]() |
---|---|---|---|---|---|---|---|---|---|---|---|
1 | 6.80 | 548.00 | 471.90 | 92.32 | 40.50 | 4.94 | 7.37 | 57.60 | 156.04 | 33.34 | 39.06 |
2 | 6.80 | 432.00 | 658.60 | 42.58 | 40.38 | 6.13 | 5.35 | 57.60 | 151.05 | 29.42 | 20.10 |
3 | 6.80 | 1,020.00 | 625.60 | 66.25 | 40.31 | 5.72 | 2.85 | 86.40 | 156.05 | 26.31 | 6.40 |
4 | 6.90 | 1,010.00 | 330.50 | 96.03 | 40.58 | 7.15 | 5.13 | 151.20 | 156.03 | 31.28 | 3.05 |
5 | 6.80 | 990.00 | 831.60 | 99.05 | 40.37 | 5.54 | 5.57 | 115.20 | 100.50 | 21.79 | 2.97 |
6 | 6.90 | 779.00 | 422.40 | 73.28 | 40.54 | 5.54 | 5.28 | 64.80 | 244.04 | 29.11 | 5.38 |
7 | 6.85 | 1,870.00 | 508.80 | 40.23 | 45.85 | 5.87 | 5.47 | 108.00 | 250.05 | 32.65 | 4.70 |
8 | 7.01 | 1,115.00 | 557.70 | 47.32 | 45.53 | 5.47 | 3.48 | 208.30 | 156.05 | 17.69 | 8.78 |
9 | 7.00 | 1,294.00 | 924.00 | 97.04 | 40.56 | 3.73 | 5.54 | 525.60 | 200.04 | 10.26 | 3.76 |
10 | 6.81 | 1,470.00 | 324.70 | 45.89 | 42.51 | 5.38 | 4.07 | 180.00 | 200.20 | 11.26 | 8.22 |
11 | 6.80 | 1,420.00 | 271.90 | 31.25 | 46.56 | 5.37 | 5.29 | 237.60 | 290.06 | 19.66 | 10.75 |
12 | 7.00 | 1,470.00 | 452.70 | 61.85 | 52.19 | 5.37 | 5.40 | 302.60 | 154.04 | 11.56 | 13.29 |
13 | 6.80 | 270.00 | 361.60 | 59.75 | 40.36 | 5.06 | 5.52 | 187.20 | 144.50 | 9.35 | 14.27 |
14 | 6.80 | 1,710.00 | 289.00 | 64.55 | 59.52 | 5.04 | 5.82 | 208.30 | 250.04 | 27.33 | 12.71 |
15 | 6.81 | 715.00 | 673.20 | 66.62 | 57.05 | 5.29 | 5.58 | 288.00 | 156.05 | 33.59 | 14.76 |
16 | 6.70 | 998.00 | 666.50 | 55.40 | 50.06 | 5.06 | 5.85 | 259.20 | 156.05 | 10.79 | 18.68 |
17 | 6.80 | 948.00 | 653.40 | 47.40 | 50.02 | 5.54 | 5.30 | 170.30 | 156.05 | 22.53 | 10.72 |
18 | 7.00 | 480.50 | 950.40 | 55.39 | 45.08 | 5.84 | 5.07 | 107.00 | 156.03 | 13.78 | 5.98 |
19 | 7.00 | 1,260.01 | 564.50 | 46.89 | 47.65 | 5.03 | 3.36 | 109.80 | 156.03 | 23.86 | 20.12 |
20 | 6.70 | 640.00 | 1,470.00 | 60.00 | 45.52 | 5.47 | 3.14 | 187.50 | 156.04 | 24.21 | 9.99 |
21 | 6.80 | 771.00 | 1,470.00 | 50.63 | 50.52 | 5.45 | 2.54 | 152.00 | 200.20 | 28.15 | 2.79 |
22 | 6.80 | 845.00 | 142.00 | 60.54 | 56.81 | 5.06 | 5.33 | 206.00 | 244.04 | 31.82 | 3.34 |
23 | 6.70 | 1,400.00 | 1,720.00 | 62.35 | 45.04 | 5.46 | 5.14 | 409.57 | 290.85 | 9.67 | 6.79 |
24 | 6.80 | 492.00 | 603.50 | 56.37 | 48.58 | 5.17 | 5.39 | 242.00 | 156.05 | 12.39 | 8.21 |
25 | 6.80 | 412.00 | 752.60 | 59.01 | 50.65 | 5.64 | 5.67 | 460.50 | 144.50 | 11.68 | 1.83 |
26 | 6.30 | 553.00 | 353.90 | 40.40 | 35.40 | 5.90 | 7.30 | 360.00 | 609.00 | 18.97 | 2.53 |
27 | 6.80 | 602.00 | 350.00 | 62.40 | 22.40 | 4.60 | 2.30 | 602.00 | 276.60 | 15.78 | 9.37 |
28 | 6.20 | 860.00 | 540.00 | 56.50 | 20.70 | 7.60 | 4.90 | 429.00 | 219.44 | 25.23 | 11.15 |
29 | 6.60 | 884.00 | 390.00 | 64.00 | 20.70 | 6.30 | 5.40 | 724.60 | 284.72 | 26.54 | 9.87 |
30 | 6.60 | 924.00 | 366.70 | 64.00 | 19.60 | 8.70 | 3.00 | 360.00 | 203.00 | 21.65 | 11.56 |
31 | 6.20 | 818.00 | 500.00 | 57.80 | 20.70 | 7.50 | 4.30 | 439.50 | 224.13 | 2.16 | 37.56 |
32 | 6.30 | 944.00 | 480.00 | 53.40 | 20.50 | 7.70 | 5.70 | 408.00 | 210.07 | 13.79 | 18.60 |
33 | 6.20 | 403.00 | 257.90 | 24.40 | 8.60 | 6.30 | 4.60 | 144.00 | 460.00 | 15.73 | 5.20 |
34 | 6.20 | 753.00 | 350.00 | 58.10 | 22.90 | 6.30 | 1.30 | 753.00 | 225.40 | 9.70 | 1.85 |
35 | 4.40 | 820.00 | 420.00 | 75.30 | 27.20 | 5.90 | 5.60 | 820.00 | 353.00 | 6.47 | 1.77 |
36 | 6.30 | 513.00 | 328.50 | 49.30 | 15.30 | 6.80 | 6.10 | 252.00 | 446.00 | 13.36 | 4.88 |
37 | 6.70 | 915.00 | 420.00 | 42.50 | 25.60 | 4.40 | 6.40 | 915.00 | 187.48 | 15.09 | 3.00 |
38 | 6.50 | 753.00 | 481.90 | 77.70 | 23.40 | 9.50 | 6.60 | 558.00 | 469.00 | 11.64 | 7.08 |
39 | 6.00 | 1,044.00 | 600.00 | 58.70 | 28.70 | 7.30 | 4.90 | 930.00 | 283.00 | 9.05 | 2.26 |
40 | 6.70 | 1,283.00 | 821.10 | 98.80 | 26.80 | 5.60 | 5.60 | 1,476.00 | 353.00 | 10.13 | 6.92 |
41 | 6.40 | 957.00 | 390.00 | 43.90 | 24.00 | 5.60 | 3.20 | 957.00 | 353.00 | 32.33 | 9.45 |
42 | 6.50 | 596.00 | 400.00 | 28.80 | 24.50 | 4.60 | 4.70 | 596.00 | 276.60 | 32.97 | 11.99 |
43 | 6.60 | 823.00 | 420.00 | 29.10 | 25.10 | 4.50 | 4.60 | 823.00 | 225.40 | 35.13 | 12.97 |
44 | 6.80 | 706.00 | 400.00 | 41.20 | 26.10 | 4.20 | 5.80 | 706.00 | 161.29 | 31.47 | 11.41 |
45 | 4.70 | 770.00 | 430.00 | 41.80 | 26.70 | 4.00 | 6.20 | 770.00 | 283.00 | 28.66 | 13.46 |
46 | 6.30 | 883.00 | 309.10 | 26.20 | 9.40 | 7.10 | 2.90 | 306.00 | 340.00 | 33.62 | 17.38 |
47 | 6.30 | 1,083.00 | 693.10 | 91.20 | 26.10 | 7.50 | 2.50 | 1,062.00 | 426.00 | 20.69 | 11.82 |
48 | 6.20 | 9,64.00 | 379.50 | 29.30 | 10.80 | 7.90 | 5.10 | 486.00 | 113.00 | 27.80 | 7.08 |
49 | 6.10 | 1,004.00 | 328.30 | 41.90 | 13.30 | 6.80 | 3.40 | 600.00 | 147.00 | 35.13 | 21.22 |
50 | 7.10 | 813.00 | 520.30 | 64.10 | 17.80 | 4.30 | 4.90 | 828.00 | 283.00 | 26.94 | 11.09 |
51 | 6.30 | 611.00 | 320.00 | 56.10 | 23.40 | 4.30 | 2.10 | 611.00 | 283.00 | 5.39 | 1.69 |
52 | 5.90 | 1,084.00 | 450.00 | 50.70 | 25.70 | 7.40 | 2.30 | 910.00 | 353.00 | 0.22 | 3.82 |
53 | 6.30 | 902.00 | 550.00 | 56.10 | 20.60 | 7.60 | 2.30 | 418.50 | 214.76 | 5.17 | 5.29 |
54 | 5.80 | 1,123.00 | 400.00 | 55.20 | 24.80 | 7.50 | 5.70 | 712.00 | 163.51 | 29.96 | 10.11 |
55 | 6.00 | 513.00 | 328.30 | 9.80 | 5.10 | 6.40 | 4.80 | 558.00 | 423.00 | 15.52 | 3.73 |
56 | 6.10 | 673.00 | 430.70 | 63.90 | 18.40 | 5.80 | 4.40 | 576.00 | 501.00 | 4.96 | .63 |
57 | 6.00 | 1,183.00 | 757.10 | 99.60 | 38.00 | 7.30 | 4.90 | 540.00 | 370.00 | 26.32 | 7.47 |
58 | 6.10 | 483.00 | 309.10 | 51.10 | 15.80 | 6.90 | 5.10 | 103.00 | 473.00 | 17.53 | 9.25 |
59 | 6.40 | 986.00 | 440.00 | 57.40 | 20.50 | 7.80 | 4.80 | 397.50 | 205.38 | 9.56 | 8.67 |
60 | 6.40 | 1,028.00 | 600.00 | 59.70 | 20.40 | 7.90 | 4.40 | 487.00 | 200.69 | 12.34 | 10.76 |
Hydrochemistry and anthropogenic activities
The analysed groundwater samples were subjected to factor analysis in order to acquire an overall idea about assembling the samples in a multidimensional space specified by the assessed parameters. Factor analysis is a valuable approach for gaining a better understanding of the connection between variables and identifying groupings (or clusters) that are mutually associated with a data body. The anthropogenic land use activities identified in the study area include educational, residential, commercial, waste disposal, and industrial activities, respectively. These land use activities gave rise to the prevalent factors identified affecting the quality of groundwater in the study area. These include use of pesticides, fertilisers, effluents and industrial wastes, landfills and waste dumpsites, and septic discharge. These are associated with the dominant land use around each sample location. All samples were subjected to factor analysis, which revealed a 0.587 value for the Kaiser–Maiyer–Olkin (KMO) and a value of 241.159 (p 0.000) for Bartlett's sphericity, indicating that FA was effective in giving significant reductions in dimensionality. From the data, four factors (Table 3), explaining 98.35% of the total variance, were estimated on the basis of the Kaiser criterion (Kaiser 1960) of the eigenvalues greater than or equal to 1.
Rotated factor loading matrix showing eigen values of parameters
Parameters . | Factor . | |||
---|---|---|---|---|
1 . | 2 . | 3 . | 4 . | |
pH | .024 | −0.996 | −0.017 | −0.018 |
EC | .993 | 0.007 | −0.051 | −0.079 |
TDS | .749 | −0.159 | −0.609 | 0.163 |
Sodium | .848 | 0.148 | −0.243 | 0.430 |
Magnesium | .798 | −0.512 | .314 | 0.020 |
Calcium | .117 | 0.810 | .527 | 0.133 |
Chloride | .542 | 0.443 | −0.108 | −0.695 |
Potassium | −0.961 | −0.058 | 0.242 | 0.053 |
Carbonates | −0.734 | 0.215 | −0.469 | 0.440 |
Sulphates | .408 | 0.879 | 0.004 | 0.209 |
Nitrates | .570 | −0.302 | 0.607 | 0.397 |
Total eigen value | 5.167 | 3.067 | 1.469 | 1.117 |
% of variance | 46.969 | 27.883 | 13.352 | 10.151 |
Cumulative % | 46.969 | 74.852 | 88.205 | 98.356 |
Parameters . | Factor . | |||
---|---|---|---|---|
1 . | 2 . | 3 . | 4 . | |
pH | .024 | −0.996 | −0.017 | −0.018 |
EC | .993 | 0.007 | −0.051 | −0.079 |
TDS | .749 | −0.159 | −0.609 | 0.163 |
Sodium | .848 | 0.148 | −0.243 | 0.430 |
Magnesium | .798 | −0.512 | .314 | 0.020 |
Calcium | .117 | 0.810 | .527 | 0.133 |
Chloride | .542 | 0.443 | −0.108 | −0.695 |
Potassium | −0.961 | −0.058 | 0.242 | 0.053 |
Carbonates | −0.734 | 0.215 | −0.469 | 0.440 |
Sulphates | .408 | 0.879 | 0.004 | 0.209 |
Nitrates | .570 | −0.302 | 0.607 | 0.397 |
Total eigen value | 5.167 | 3.067 | 1.469 | 1.117 |
% of variance | 46.969 | 27.883 | 13.352 | 10.151 |
Cumulative % | 46.969 | 74.852 | 88.205 | 98.356 |
E.C., sodium, magnesium, and TDS marked factor 1, which explained 46.969% of the total variance. Factor 1 had a high positive loading for E.C. (0.993), sodium (0.848), magnesium (0.798), and TDS (0.749), respectively. On the other hand, Factor 1 had high negative loading on sulphur and carbonate: −0.961 and −0.734, respectively. High positive loadings indicated a strong linear correlation between the factor and parameters. Usage of fertilisers pesticides and herbicides can be marked as factor 1, obviously of anthropogenic origins from the agricultural land use. Factor 2, with higher positive loading of sulphates and calcium, explained 27.883% of the variance with a loading of 0.879 and 0.810. Factor 2 had a negative loading on pH; −0.996. Factor 3 accounted for 13.352% of the total variance and best represented by nitrates and partly calcium, 0.607 and 0.527, respectively. Groundwater of high TDS value encourages the mobilisation of compound contaminants such as carbonates, and nitrates. This single fact confirms the relationship between TDS and other compound contaminants. Leaching through downward washing of fertilisers through the overlying lateritic sand can increase the potassium of the groundwater and the process is evidenced in higher TDS values. Dissolved solids can produce hard water, which leaves deposits and films on fixtures, and on the insides of hot water pipes and boilers. Soaps and detergents do not produce as much lather with hard water as with soft water. As well as this, high amounts of dissolved solids can stain household fixtures, corrode pipes, and have a metallic taste. Factor 4 was responsible for 10.151% of total variance and was best represented by carbonates (0.440) and sodium (0.430). Groundwater of high sodium value is probably indicative of natural occurrence. This is an indication that groundwater with high levels of dissolved inorganic salts must have originated from water that has flowed through a region where the rocks have a high salt content (Amanambu 2015). Groundwater of high calcium value encourages the higher dissolution of solids leading to hardness of water. The human body needs calcium for strong teeth and bones.
Spatial interpolation and groundwater modelling
Spatial modelling accuracy
The experimental semi-variogram of data pairs was fitted using five models (Table 4). Nugget and sill parameters were computed by the Geostatistical Analyst tool for each model, and there was no basis to alter them (Setianto & Triandini 2013). The nugget is essentially the Y-intercept of the semi-variogram model, while sill is the semi-variogram value at which the model smoothens out (Munyati & Sinthumule 2021). However, the spherical model appeared to be the most consistent having yielded both the nugget and sill ratio, within the confines of this study.
Comparative error of the semi-variogram models and parameters tested
Parameter . | Model . | N . | Nugget . | Sill . |
---|---|---|---|---|
pH | Spherical | 60 | 0.868 | 0.132 |
Circular | 60 | 0.879 | 0.102 | |
Stable | 60 | 0.899 | 0.101 | |
Gaussian | 60 | 0.923 | 0.077 | |
Exponential | 60 | 0.864 | 0.136 | |
E.C. | Spherical | 60 | 0.969 | 0.052 |
Circular | 60 | 0.997 | 0.024 | |
Stable | 60 | 1.007 | 0.015 | |
Gaussian | 60 | 1.028 | 0.022 | |
Exponential | 60 | 1.038 | 0.0 | |
TDS | Spherical | 60 | 0.965 | 0.052 |
Circular | 60 | 1.016 | 0 | |
Stable | 60 | 1.001 | 0 | |
Gaussian | 60 | 1.016 | 0 | |
Exponential | 60 | 1.016 | 0 | |
Ca | Spherical | 60 | 0.550 | 0.465 |
Circular | 60 | 0.766 | 0.394 | |
Stable | 60 | 0.704 | 0.312 | |
Gaussian | 60 | 0.702 | 0.313 | |
Exponential | 60 | 0.457 | 0.557 | |
Mg | Spherical | 60 | 0.957 | 0.065 |
Circular | 60 | 1.016 | 0.011 | |
Stable | 60 | 1.010 | 0.012 | |
Gaussian | 60 | 1.017 | 0.009 | |
Exponential | 60 | 0.995 | 0 | |
Na | Spherical | 60 | 0.488 | 0.222 |
Circular | 60 | 0.494 | 0.223 | |
Stable | 60 | 0.533 | 0.189 | |
Gaussian | 60 | 0.551 | 0.189 | |
Exponential | 60 | 0.447 | 0.278 | |
Cl | Spherical | 60 | 0.498 | 0.905 |
Circular | 60 | 0.554 | 0.872 | |
Stable | 60 | 0.454 | 0.991 | |
Gaussian | 60 | 0.608 | 0.759 | |
Exponential | 60 | 0.166 | 1.275 | |
HCO3 | Spherical | 60 | 0.528 | 0.176 |
Circular | 60 | 0.549 | 0.154 | |
Stable | 60 | 0.579 | 0.133 | |
Gaussian | 60 | 0.559 | 0.153 | |
Exponential | 60 | 0.476 | 0.230 | |
K | Spherical | 60 | 0.755 | 0.462 |
Circular | 60 | 0.777 | 0.466 | |
Stable | 60 | 0.847 | 0.402 | |
Gaussian | 60 | 0.840 | 0.410 | |
Exponential | 60 | 0.625 | 0.598 | |
SO4 | Spherical | 60 | 0.797 | 0.527 |
Circular | 60 | 0.847 | 0.484 | |
Stable | 60 | 0.943 | 0.392 | |
Gaussian | 60 | 0.925 | 0.412 | |
Exponential | 60 | 1.002 | 0.327 | |
NO3 | Spherical | 60 | 0.841 | 0.175 |
Circular | 60 | 1.016 | 0 | |
Stable | 60 | 1.016 | 0 | |
Gaussian | 60 | 1.016 | 0 | |
Exponential | 60 | 1.016 | 0 |
Parameter . | Model . | N . | Nugget . | Sill . |
---|---|---|---|---|
pH | Spherical | 60 | 0.868 | 0.132 |
Circular | 60 | 0.879 | 0.102 | |
Stable | 60 | 0.899 | 0.101 | |
Gaussian | 60 | 0.923 | 0.077 | |
Exponential | 60 | 0.864 | 0.136 | |
E.C. | Spherical | 60 | 0.969 | 0.052 |
Circular | 60 | 0.997 | 0.024 | |
Stable | 60 | 1.007 | 0.015 | |
Gaussian | 60 | 1.028 | 0.022 | |
Exponential | 60 | 1.038 | 0.0 | |
TDS | Spherical | 60 | 0.965 | 0.052 |
Circular | 60 | 1.016 | 0 | |
Stable | 60 | 1.001 | 0 | |
Gaussian | 60 | 1.016 | 0 | |
Exponential | 60 | 1.016 | 0 | |
Ca | Spherical | 60 | 0.550 | 0.465 |
Circular | 60 | 0.766 | 0.394 | |
Stable | 60 | 0.704 | 0.312 | |
Gaussian | 60 | 0.702 | 0.313 | |
Exponential | 60 | 0.457 | 0.557 | |
Mg | Spherical | 60 | 0.957 | 0.065 |
Circular | 60 | 1.016 | 0.011 | |
Stable | 60 | 1.010 | 0.012 | |
Gaussian | 60 | 1.017 | 0.009 | |
Exponential | 60 | 0.995 | 0 | |
Na | Spherical | 60 | 0.488 | 0.222 |
Circular | 60 | 0.494 | 0.223 | |
Stable | 60 | 0.533 | 0.189 | |
Gaussian | 60 | 0.551 | 0.189 | |
Exponential | 60 | 0.447 | 0.278 | |
Cl | Spherical | 60 | 0.498 | 0.905 |
Circular | 60 | 0.554 | 0.872 | |
Stable | 60 | 0.454 | 0.991 | |
Gaussian | 60 | 0.608 | 0.759 | |
Exponential | 60 | 0.166 | 1.275 | |
HCO3 | Spherical | 60 | 0.528 | 0.176 |
Circular | 60 | 0.549 | 0.154 | |
Stable | 60 | 0.579 | 0.133 | |
Gaussian | 60 | 0.559 | 0.153 | |
Exponential | 60 | 0.476 | 0.230 | |
K | Spherical | 60 | 0.755 | 0.462 |
Circular | 60 | 0.777 | 0.466 | |
Stable | 60 | 0.847 | 0.402 | |
Gaussian | 60 | 0.840 | 0.410 | |
Exponential | 60 | 0.625 | 0.598 | |
SO4 | Spherical | 60 | 0.797 | 0.527 |
Circular | 60 | 0.847 | 0.484 | |
Stable | 60 | 0.943 | 0.392 | |
Gaussian | 60 | 0.925 | 0.412 | |
Exponential | 60 | 1.002 | 0.327 | |
NO3 | Spherical | 60 | 0.841 | 0.175 |
Circular | 60 | 1.016 | 0 | |
Stable | 60 | 1.016 | 0 | |
Gaussian | 60 | 1.016 | 0 | |
Exponential | 60 | 1.016 | 0 |
The cross-validation statistics criteria used ensured that the predictions are unbiased, this is indicated by: (1) an ME close to null (zero) (Gharbia et al. 2016), (2) estimates do not diverge significantly from the field observed values, indicated by a difference between the RMSE and ASE that is as small as possible (Nas & Berktay 2010), and (3) standard errors are precise, indicated by an RMSES prediction error close to unity (one) (Munyati & Sinthumule 2021).
Based on the cross-validation criteria to ensure unbiased predictions, the best model for the prediction of parameter concentration level was developed using a stable semi-variogram and true anisotropy. Table 5 presents the model accuracy measures as a result of the cross-validation matrix. The cross-validation matrix produced ME values that are close to zero ranging between −1.735 and 0.004; RMSES values that ranged between 0.821 and 1.134 (these values are close to 1, without approximation); and the least difference in the values of ASE and RMSE criss-crossing the entire data considered ranging between 0.058 and 33.078, to represent each parameter within the study. Co-Kriging surfaces were also constructed utilising covariate pairings and a stable, anisotropic semi-variogram. Cross-validation tests for parameter concentration found that the accuracy metrics (ME, RMSES, ASE, and RMSE) gave similar values across the sample points for each of the parameters.
Model accuracy metrics
Variables . | ME . | RMSES . | ASE . | RMSE . | (ASE – RMSE) . |
---|---|---|---|---|---|
pH | 0.004 | 1.134 | 0.429 | 0.487 | −0.058 |
E.C. | −0.797 | 0.907 | 326.67 | 323.96 | 2.71 |
TDS | −0.685 | 1.081 | 266.22 | 287.87 | −21.65 |
HCO3 | −0.507 | 0.829 | 101.55 | 84.432 | 17.118 |
Ca | −0.246 | 0.821 | 25.579 | 27.577 | −1.998 |
Mg | 0.025 | 0.996 | 1.246 | 1.242 | 0.004 |
Na | −0.006 | 0.535 | 20.163 | 21.998 | −1.835 |
NO3 | −0.209 | 0.899 | 6.836 | 7.378 | 0.821 |
Cl− | −1.735 | 0.877 | 346.51 | 279.71 | 66.8 |
K | 0.011 | 1.009 | 1.198 | 1.183 | 0.015 |
SO4 | −0.133 | 0.882 | 9.271 | 9.207 | 1.204 |
Variables . | ME . | RMSES . | ASE . | RMSE . | (ASE – RMSE) . |
---|---|---|---|---|---|
pH | 0.004 | 1.134 | 0.429 | 0.487 | −0.058 |
E.C. | −0.797 | 0.907 | 326.67 | 323.96 | 2.71 |
TDS | −0.685 | 1.081 | 266.22 | 287.87 | −21.65 |
HCO3 | −0.507 | 0.829 | 101.55 | 84.432 | 17.118 |
Ca | −0.246 | 0.821 | 25.579 | 27.577 | −1.998 |
Mg | 0.025 | 0.996 | 1.246 | 1.242 | 0.004 |
Na | −0.006 | 0.535 | 20.163 | 21.998 | −1.835 |
NO3 | −0.209 | 0.899 | 6.836 | 7.378 | 0.821 |
Cl− | −1.735 | 0.877 | 346.51 | 279.71 | 66.8 |
K | 0.011 | 1.009 | 1.198 | 1.183 | 0.015 |
SO4 | −0.133 | 0.882 | 9.271 | 9.207 | 1.204 |
Furthermore, spatial correlations were quantified with the aid of the semi-variogram. In sum, the application of Kriging with semi-variogram models is proportional to the expected squared differences between the paired variables, i.e., the data values (x) and the distance lag, which separates different locations (h) (Gharbia et al. 2016). The spherical semi-variogram model being the most consistent was used for each water quality parameter. The Predictive performance of the fitted model had previously been evaluated using the cross-validation tests (Table 5). After the cross-validation process, maps of spatial estimates of parameters were generated to render a visual interpretation of the distribution of water quality parameters. As well as the best-fitted semi-variograms for the water quality parameters for the study area.
Geostatistical modelling
(a)–(k) Best-fitted semi-variogram models for water quality parameters. (a) pH, (b) E.C., (c) TDS, (d) calcium, (e) magnesium, (f) sodium, (g) carbonate, (h) nitrates, (i) chloride, (j) potassium, and (k) sulphates.
(a)–(k) Best-fitted semi-variogram models for water quality parameters. (a) pH, (b) E.C., (c) TDS, (d) calcium, (e) magnesium, (f) sodium, (g) carbonate, (h) nitrates, (i) chloride, (j) potassium, and (k) sulphates.
Spatial prediction of concentration levels








(a)–(k) Optimal surface prediction for water quality parameters using Kriging showing local governments. (a) pH, (b) TDS, (c) E.C., (d) calcium, (e) sodium, (f) magnesium, (g) HCO3, (h) potassium, (i) SO4, (j) NO3, and (k) Cl−.
(a)–(k) Optimal surface prediction for water quality parameters using Kriging showing local governments. (a) pH, (b) TDS, (c) E.C., (d) calcium, (e) sodium, (f) magnesium, (g) HCO3, (h) potassium, (i) SO4, (j) NO3, and (k) Cl−.
Groundwater suitability
The GWQI was used to estimate the suitability of the water for consumption. This index provides an unbiased measure of water quality considering all the measured parameters for each water sample. The GWQI is a recently adopted method for revealing the quality of groundwater at a glance. The Water Quality Index (WQI) computations for each sampling location in the current study involved three successive steps (Li et al. 2011). The first step was ‘assigning of weight’. Each of the parameters except were assigned weights (Wi), according to their relative importance in the overall drinking water quality. The most significant parameters were given a weight of 5 and the least significant a weight of 1 (Mahmud et al. 2020).
where Wi is the relative weight, wi is the weight of each parameter, and n is the number of parameters.
The third step was the computation of the quality rating scale. The quality rating scale (qi) for each parameter was calculated using Equation (6) (Iwar et al. 2021):
Relative weights of parameters in the study area
Parameters . | WHO standard . | Unit weight . | Wi . | qi . | Wiqi . |
---|---|---|---|---|---|
pH | 7.5 | 0.1333 | 0.456360525 | 86.66666667 | 39.55125 |
EC | 400 | 0.0025 | 0.00855676 | 223.389625 | 1.911491 |
TDS | 500 | 0.0020 | 0.006845408 | 107.37534 | 0.735028 |
Sodium | 200 | 0.0050 | 0.01711352 | 15.98115 | 0.273494 |
Magnesium | 50 | 0.0200 | 0.068454079 | 12.0374 | 0.824009 |
Calcium | 100 | 0.0100 | 0.034227039 | 4.7102 | 0.161216 |
Chloride | 250 | 0.0040 | 0.013690816 | 178.00248 | 2.436999 |
Potassium | 12 | 0.0833 | 0.285225328 | 18.79166667 | 5.359859 |
Carbonates | 125 | 0.0080 | 0.027381631 | 202.40064 | 5.54206 |
Sulphates | 250 | 0.0040 | 0.013690816 | 7.86988 | 0.107745 |
Nitrates | 50 | 0.0200 | 0.068454079 | 19.318 | 1.322396 |
Sum | 1 | 58.22554 |
Parameters . | WHO standard . | Unit weight . | Wi . | qi . | Wiqi . |
---|---|---|---|---|---|
pH | 7.5 | 0.1333 | 0.456360525 | 86.66666667 | 39.55125 |
EC | 400 | 0.0025 | 0.00855676 | 223.389625 | 1.911491 |
TDS | 500 | 0.0020 | 0.006845408 | 107.37534 | 0.735028 |
Sodium | 200 | 0.0050 | 0.01711352 | 15.98115 | 0.273494 |
Magnesium | 50 | 0.0200 | 0.068454079 | 12.0374 | 0.824009 |
Calcium | 100 | 0.0100 | 0.034227039 | 4.7102 | 0.161216 |
Chloride | 250 | 0.0040 | 0.013690816 | 178.00248 | 2.436999 |
Potassium | 12 | 0.0833 | 0.285225328 | 18.79166667 | 5.359859 |
Carbonates | 125 | 0.0080 | 0.027381631 | 202.40064 | 5.54206 |
Sulphates | 250 | 0.0040 | 0.013690816 | 7.86988 | 0.107745 |
Nitrates | 50 | 0.0200 | 0.068454079 | 19.318 | 1.322396 |
Sum | 1 | 58.22554 |
The overall weight of the GWQI shows that the water in the study area falls within the good water range (Table 7), of the groundwater classification according to Sahu & Sikdar (2008) and Belkhiri et al. (2020).
Classification of groundwater based on the GWQI
Range . | Type of water . |
---|---|
<50 | Excellent |
50–100.1 | Good water |
100–200.1 | Poor water |
200–300.1 | Very poor water |
>300 | Water unsuitable for drinking purposes |
Range . | Type of water . |
---|---|
<50 | Excellent |
50–100.1 | Good water |
100–200.1 | Poor water |
200–300.1 | Very poor water |
>300 | Water unsuitable for drinking purposes |
CONCLUSION
Geostatistical analysis techniques, such as Kriging, are considered to be useful techniques for the monitoring, evaluation and management of groundwater resources. This study uses Kriging geostatistical technique and the GWQI to map the spatial variability of groundwater quality parameters. The groundwater quality analyses were done for Ibadan Metropolitan area using a GIS-based geostatistical algorithm. Factor analysis was employed to understand the influence of prevalent human activities on each parameter.
This study found a significant correlation between anthropogenic factors and concentration levels of water quality parameters in groundwater wells. This study on the overall provided a local government level concentration prediction mapping in the Ibadan metropolis. The study generated prediction models that estimated the presence of different parameters in groundwater where direct measurements were not possible. The results of this study will be useful for residents or housing developers installing new water wells to avoid areas that are known, or predicted, to contain concentrations of parameters greater than the established WHO and USEPA secondary water quality criteria.
DATA AVAILABILITY STATEMENT
Data cannot be made publicly available; readers should contact the corresponding author for details.
CONFLICT OF INTEREST
The authors declare there is no conflict.