3.1 Surface runoff
Fig. 11 shows the results of runoff measurement for each rainfall pattern respectively. Runoff produced starting to increase significantly and then stabilized during the first 30-min duration of rainfall. After stabilized, the runoff seems to show the same pattern as the intensity in the following duration through the end. This is due to the rainfall volume at the beginning duration fills up the infiltration capacity in the soil plot until it produces runoff. The average total runoff produced was 668.65, 701.40, 699.10, and 722.63 liters, for rainfall patterns A, B, C, and D, respectively. The results show that rainfall patterns do affect the trend of runoff generated during the rainfall event. Pattern D generated the highest amount of runoff meanwhile Pattern A generated the lowest.
Previous studies found that various rainfall patterns have contributed the highest in total runoff. For instance, Mohamadi & Kavian (2015) found that the increasing pattern yielded the highest total runoff with 2.2 times greater than the pattern that produce the lowest; decreasing pattern. Meanwhile, in Tao et al. (2017) and Ran et al. (2019), an increasing-decreasing pattern produces the highest total runoff. However, in general, the total runoff for each pattern does not have a significant difference, although it gives an impact on the runoff production. According to Alavinia et al. (2019), runoff is mainly controlled by soil moisture, the initial soil condition in these studies may be the result of this issue.
3.2 Sediment
Fig. 12 shows the SSC for each rainfall pattern condition. It shows that rainfall pattern does have a significant impact on sediment produced where Pattern C showing trend similar to the particular rainfall pattern, however, patterns A, B, and D are showing a decreasing trend. In contrast, the trend does not have a major impact where the mean value among every three repetitions of rainfall pattern resulted as 14,518.88, 13,732.73, 8,011.71 and 19,918.50 mg/l for patterns A, B, C, and D, respectively. From these results, Pattern D contributed to the highest amount of sediment accumulated whereby pattern C generated the lowest sediment despite the trend showed a different approach than the other 3 patterns.
The findings in this study are consistent with those studies of Mohamadi & Kavian (2015), W. Wang et al. (2016), and B. Wang et al. (2017) found an increasing pattern that contributed the highest amount of soil loss. However, it is in contrast with Tao et al. (2017) that found a decreasing pattern produce the highest that is similar to this study’s findings. This is because the higher intensity applied in the first phase of rainfall duration results in a higher capacity of raindrop hits on soil plots that cause splash erosion. The loose particles were carried out with the surface runoff shown by the figure where the early phase has the highest concentrations until it reaches stable mode through the end of the duration.
3.3 Nutrients
The nutrient concentrations namely ammonia nitrogen, nitrate-nitrogen, and phosphorus associated for each rainfall pattern are shown in Fig. 13, Fig. 14, and Fig. 15 respectively. The combination of these three types of nutrients is shown in Fig. 16. For ammonia nitrogen and nitrate nitrogen nutrient, the trends showed that most transport processes happened in the beginning 30-min of rainfall duration and consequently achieve stable mode through the end. The determined total losses for ammonia nitrogen were 3.948, 2.902, 3.536, and 4.081g; nitrate nitrogen was 3.891, 2.677, 4.032, and 3.255g; phosphorus was 1.333, 0.223, 0.2010, and 0.690g, for patterns A, B, C, and D, respectively. In general, rainfall pattern does not have a significant impact on the trend of nutrient losses, where the trend shows that higher concentrations at the start and eventually lowered through the end, but pattern D as compared to other patterns resulted in more severe nutrient losses.
Dai et al. (2018) studied the amount of nitrogen (TN) and phosphorus (TP) losses under natural rainfall events and found that sediment yield is the major controller of the TN and TP loss. This is because heavy rainfall produces a higher rate of soil erosion and nutrient loss where 93% of TN and 99% of TP were transported with sediments. Zhang et al. (2010) conducted field experiments to study soil erosion and loss of nitrogen (N) from a 15° hillslope and found soil erosion caused an N loss of about 250 mg/m2 for the bare soil plot. In general, N concentrations decreased with time and approached a steady value throughout the experiment regardless of constant or varies-intensity rainfall conditions. Findings from this study are satisfying as the concentrations for ammonia nitrogen and nitrate nitrogen shows the same trend. Though there are not enough previous studies on the relationship of rainfall pattern to nutrient loss, however from the findings, it is generally similarly found by Tao et al. (2017) that decreasing pattern contributes the most severe nutrient loss. The reason is that the higher rainfall intensity of the early phase has produced a higher rate of nutrient loss since the impact from high intensity released solute at the soil surface to the runoff as compared to low intensity.
3.4 Soil profile measurement
The data in Table 2 were derived from the measurement at a distance 15cm × 15cm square grid on the soil plot surface before and after every rainfall simulation done to determine the soil profile in the plot. Meanwhile, Fig. 17 shows the photographs of the soil plot before and after each simulation and the soil profile plot for a respective experiment. The difference was calculated by subtracting the before and after values. This means that the positive difference value shows that the soil is eroded meanwhile the negative value shows raised soil that is carried by runoff. The no difference value shows that there is no difference in height reading before and after the rainfall simulation that can be assumed that a particular soil area maintains the same with no eroded or raised soil involved. From these three values, positive and negative values are then added and divided by the total area of soil plot to determine the affected area in terms of soil movement process during rainfall simulation. The calculated means values of affected areas are 79.60, 68.70, 72.43, and 64.97% for pattern A, B, C and D respectively. The lowest means value of the affected area is contributed by pattern D and highest by pattern A.
Table 2 Summary of measured soil profile before and after rainfall simulation
Rainfall pattern
|
Experiment No.
|
Difference in height of soil reading before and after rainfall simulation (%)
|
Percentage of affected area
|
Mean
|
Positive value (eroded soil)
|
Negative value (raised soil)
|
No Difference
|
Constant
|
1
|
35.7
|
50
|
14.3
|
85.7
|
79.60
|
2
|
37.8
|
48
|
14.3
|
85.8
|
3
|
25.5
|
41.8
|
32.7
|
67.3
|
Increasing
|
1
|
22.4
|
62.2
|
15.3
|
84.6
|
68.70
|
2
|
20.4
|
42.9
|
36.7
|
63.3
|
3
|
29.6
|
28.6
|
41.8
|
58.2
|
Increasing-decreasing
|
1
|
51
|
27.6
|
21.4
|
78.6
|
72.43
|
2
|
25.5
|
41.8
|
32.7
|
67.3
|
3
|
24.5
|
46.9
|
28.6
|
71.4
|
Decreasing
|
1
|
26.5
|
49
|
24.5
|
75.5
|
64.97
|
2
|
19.4
|
37.8
|
42.9
|
57.2
|
3
|
26.5
|
35.7
|
37.8
|
62.2
|
3.4 Response of total runoff, total SSC, nutrient concentrations, and soil affected area to rainfall patterns
Table 3 presented the summary of experiment variables and their respective mean value. The mean is calculated from the value obtained in the three repetitions of each rainfall pattern. The variables, including runoff, sediment concentrations, and the three nutrient concentrations namely ammonia nitrogen, nitrate-nitrogen, and phosphorus. The mean values are each discussed in subchapters 3.1 to 3.3. By considering the twelve experiments, the mean calculated for runoff is 697.944 liter, for total SSC is 14,045.451mg/l; for ammonia nitrogen concentration is 3.612mg/l; for nitrate-nitrogen concentration is 3.464mg/l and for phosphorus concentration is 0.614mg/l.
Table 3 Summary of experiment results
Rainfall pattern
|
Experiment No.
|
Runoff (liter)
|
Total SSC (mg/l)
|
Ammonia Nitrogen Concentrations (mg/l)
|
Nitrate Nitrogen Concentrations (mg/l)
|
Phosphorus Concentrations (mg/l)
|
Total
|
Mean
|
Total
|
Mean
|
Total
|
Mean
|
Total
|
Mean
|
Total
|
Mean
|
|
Constant
|
1
|
636.785
|
668.649
|
20643.566
|
14518.879
|
5.349
|
3.948
|
4.585
|
3.891
|
2.267
|
1.333
|
|
2
|
668.072
|
11509.419
|
3.146
|
4.810
|
0.140
|
|
3
|
701.090
|
11403.653
|
3.348
|
2.279
|
1.591
|
|
Increasing
|
1
|
679.363
|
701.404
|
24686.202
|
13732.733
|
2.293
|
2.902
|
1.902
|
2.677
|
0.095
|
0.223
|
|
2
|
704.662
|
9190.308
|
2.836
|
2.960
|
0.402
|
|
3
|
720.187
|
7321.689
|
3.577
|
3.169
|
0.173
|
|
Increasing-decreasing
|
1
|
675.538
|
699.096
|
9243.128
|
8011.707
|
2.440
|
3.536
|
2.027
|
4.032
|
0.142
|
0.210
|
|
2
|
698.813
|
6371.820
|
2.638
|
5.730
|
0.147
|
|
3
|
722.936
|
8420.173
|
5.530
|
4.338
|
0.340
|
|
Decreasing
|
1
|
710.323
|
722.627
|
34856.812
|
19918.495
|
3.504
|
4.081
|
2.770
|
3.255
|
0.256
|
0.690
|
|
2
|
718.696
|
12107.835
|
2.551
|
4.312
|
0.151
|
|
3
|
738.863
|
12790.807
|
6.188
|
2.682
|
1.662
|
|
Total
|
|
|
697.944
|
|
14045.451
|
|
3.612
|
|
3.464
|
|
0.614
|
|
Table 4 and Fig. 18 present the results of ANOVA and the mean plot for the seven particular variables studied. Variable’s nutrients are combined in one plot to better observe the trend pattern among the three nutrients. ANOVA was used to evaluate differences in the runoff, sediment concentrations, nutrient concentrations, and total affected soil area between the four rainfall patterns. The outcome of the statistical test is probability named the p-value, which is compared to a threshold called the significance level. The performance result of the system is related if the p-value is lower than that significance level.
According to the results, we can conclude that there is no significant interaction between the seven variables and the rainfall patterns since the p-value is lower than 0.05 in none of the performance metrics. ANOVA assumes that the data come from a normally distributed population with a homogeneous variance and similar covariance and sphericity (differences between all possible pairs of groups are equal).
Table 4 One-way ANOVA’s results
|
Rainfall pattern
|
Sample volume
|
Mean
|
F value
|
P value
|
Total runoff (liter)
|
Constant
|
3
|
668.6490
|
2.649
|
0.120
|
Increasing
|
3
|
701.4040
|
Increasing-decreasing
|
3
|
699.0957
|
Decreasing
|
3
|
722.6273
|
Total SSC (mg/l)
|
Constant
|
3
|
14518.8793
|
0.987
|
0.446
|
Increasing
|
3
|
13732.7330
|
Increasing-decreasing
|
3
|
8011.7070
|
Decreasing
|
3
|
19918.4847
|
Ammonia Nitrogen
|
Constant
|
3
|
3.94767
|
0.399
|
0.758
|
Increasing
|
3
|
2.90200
|
Increasing-decreasing
|
3
|
3.53600
|
Decreasing
|
3
|
4.08100
|
Nitrate Nitrogen
|
Constant
|
3
|
3.89133
|
0.691
|
0.583
|
Increasing
|
3
|
2.67700
|
Increasing-decreasing
|
3
|
4.03167
|
Decreasing
|
3
|
3.25467
|
Phosphorus
|
Constant
|
3
|
1.33267
|
1.736
|
0.237
|
Increasing
|
3
|
0.22333
|
Increasing-decreasing
|
3
|
0.20967
|
Decreasing
|
3
|
0.68967
|
Soil Affected Area
|
Constant
|
3
|
79.6000
|
1.084
|
0.410
|
Increasing
|
3
|
68.7000
|
|
Increasing-decreasing
|
3
|
72.4333
|
|
|
Decreasing
|
3
|
64.9667
|