Evolutionary Prediction of Soil Loss from Observed Rainstorm Parameters in an Erosion Watershed Using Genetic Programming

Table 1

Measurement and computation of rainstorm parameter day by day for 1993, 1995, and 1996 seasons over bare soil [38].

Date	Rainfall amount (P) (mm)	Kinetic energy (EK) (J/m^2/mm)	Rainfall intensity (I) (mm/hr)	Gully head advance (E) (m)	Soil detachment (D) (g/m^2)	Factored soil detachment (Df) (g/m^2)	Runoff (cm^3) × 10^3 (R)	Runoff rate (Rr) (m^3/s)	Soil loss (L) (kg/m^2)
10/7/93	13.5	30.36	25.23	0.0453382	9.46	9.56	32.75	0.0019	0.036
19/7/93	15.6	32.49	61.2	0.0466684	17.16	17.35	33	0.0019	0.013
20/7/93	32.1	37.66	43.6	0.0539136	18.27	18.47	39.5	0.0023	0.056
27/7/93	8.5	23.71	7.11	0.0413315	5.90	5.96	16.5	0.0009	0.048
3/8/93	22.3	35.39	26.38	0.0501255	13.64	13.79	43.5	0.0026	0.057
8/8/93	17.7	33.32	34.9	0.0478622	11.29	11.41	41.85	0.0025	0.045
12/8/93	12.3	29.19	48.4	0.0445019	19.22	19.43	31.95	0.0018	0.05
18/8/93	37.7	38.81	43.6	0.0556757	13.15	13.29	48.5	0.0028	0.104
21/8/93	19.7	34.33	48.26	0.0488980	18.56	18.76	42.15	0.0025	0.015
1/9/93	14.9	31.51	49.6	0.0462418	16.82	17.00	42.2	0.0025	0.029
6/9/93	12.7	29.60	49.6	0.0447877	5.91	5.97	32.95	0.0019	0.05
8/9/93	1.9	−11.91	1.91	0.0306301	3.11	3.14	—	—	—
10/9/93	16.8	32.60	66.8	0.0473652	6.64	6.71	32.25	0.0019	0.0085
17/9/93	6.9	19.98	6.7	0.0396431	7.92	8.01	21.2	0.0012	0.02
20/9/93	8.4	23.51	13.89	0.0412338	10.25	10.36	31.6	0.0019	0.042
23/9/93	2.3	−6.52	1.6	0.0318231	5.61	5.67	21.4	0.0013	0.01
5/7/95	13.2	30.0	9.0	0.0451349	8.22	8.38	53	0.0037	0.056
17/7/95	30.5	37.9	30.48	0.0533651	15.93	16.10	64.2	0.0045	0.05
19/7/95	1.7	−14.81	2.54	0.0299562	7.91	8.06	1	0.0007	0.0022
20/7/95	16.9	33.14	30.5	0.0474215	9.67	9.85	51	0.0036	0.001
23/7/95	6.8	19.94	16.9	0.0395275	16.9	17.22	15.5	0.0011	0.11
27/7/95	14.1	32.0	61.0	0.0457342	5.4	5.5	53	0.0037	0.05
30/7/95	13.0	30.17	55.9	0.0449973	7.3	7.44	55	0.0039	0.013
3/8/95	24.4	36.39	45.7	0.0510359	20.3	20.69	58	0.0041	0.06
14/8/95	16.6	32.96	53.4	0.0472519	10.51	10.71	53	0.0037	0.07
10/8/95	15.7	32.38	16.5	0.0467280	12.52	12.76	61	0.0043	0.04
18/8/95	22.0	35.57	30.5	0.0499899	13.93	14.19	63	0.0044	0.025
24/8/95	32.6	38.32	30.5	0.0540806	13.9	14.16	65	0.0046	0.096
26/8/95	13.1	30.28	9.3	0.0449973	18.6	18.95	51	0.0036	0.052
28/8/95	19.5	34.52	12.2	0.0487983	8.6	8.76	55	0.0039	0.015
7/9/95	2.6	−2.95	1.44	0.0326131	15.9	16.20	—	—	—
12/9/95	3.3	3.43	1.4	0.0342058	20.92	21.32	22	0.0015	0.0002
15/9/95	5.1	14.0	33.0	0.0373174	4.61	4.70	14	0.00098	0.027
16/9/95	18.8	34.20	58.40	0.0484428	9.1	9.30	55	0.0039	0.052
23/9/95	8.8	24.56	1.99	0.0416192	6.22	6.40	35	0.0025	0.045
24/9/95	6.6	19.37	30.5	0.0392922	6.93	7.06	42	0.0029	0.03
28/9/95	15.2	32.01	33.02	0.0464266	5.64	5.75	43	0.003	0.02
5/10/95	13.2	30.35	60.96	0.0451349	7.02	7.15	35	0.0025	0.04
8/10/95	14.7	31.64	61.00	0.0461170	3.67	3.74	38	0.0027	0.028
4/7/96	46.0	39.74	23.0	0.0579361	13.05	13.3	68.5	0.0022	0.05
7/7/96	15.0	31.58	18.0	0.0463037	5.32	5.42	43.0	0.003	0.04
14/7/96	16.0	32.29	24.0	0.0469053	7.61	7.76	29.0	0.002	0.02
16/7/96	12.0	28.86	16.0	0.0442827	32.14	32.75	62.5	0.0044	0.71
19/7/96	15.0	31.58	45.0	0.0463037	3.49	3.56	20.5	0.0014	0.023
20/7/96	40.0	39.11	48.98	0.0563391	11.08	11.29	52.0	0.0036	0.17
24/7/96	40.0	39.11	40.0	0.0563391	9.38	9.56	60.0	0.0042	0.073
25/7/96	35.0	38.42	48.84	0.0548544	8.51	8.67	60.0	0.0042	0.092
1/8/96	4.0	8.09	6.86	0.0355475	3.78	3.85	—	—	—
3/8/96	20.0	34.46	40.0	0.0490460	10.78	10.99	69.5	0.0049	0.1
9/8/96	23.0	35.63	24.64	0.0504363	19.16	19.53	39.5	0.0028	0.04
14/8/96	14.0	30.79	10.5	0.0456692	2.20	2.24	27.0	0.0019	0.02
16/8/96	43.0	39.45	41.62	0.0571599	8.79	8.96	64.0	0.0045	0.043
17/8/96	39.0	38.98	45.0	0.0560545	9.72	9.91	40.0	0.0028	0.054
20/8/96	16.0	32.29	16.27	0.0469053	8.22	8.38	59.5	0.0042	0.065
24/8/96	15.0	31.58	19.56	0.0463037	9.78	9.97	46.5	0.0033	0.056
26/8/96	7.0	20.25	6.46	0.0397573	1.96	2.00	12.5	0.0088	—
30/8/96	8.0	22.69	13.71	0.0408334	4.42	4.50	60.0	0.0042	0.01
31/8/96	10.0	26.29	8.57	0.0426970	3.13	3.19	3.20	0.0022	0.02