Table 3.

The gully index of Shadi and the optimum-fit functions.

Gully Number	A (m2)	L (m)	N	H(N)	Morphology of Longitudinal Profile	Linear Function (R2)	Exponential Function (R2)	Logarithm Function (R2)	Power Function (R2)
S1	20.13	165.73	1.511	0.319	concave	0.991 *	0.647	0.869	0.942
S2	16.23	128.55	0.933	0.176	convex	0.982	0.935	0.907	0.994 *
S3	26.60	219.15	1.253	0.256	concave	0.965 *	0.831	0.961	0.905
S4	13.19	106.10	0.645	0.106	convex	0.944	0.846	0.972 *	0.959
S5	9.04	72.22	1.306	0.269	concave	0.926	0.828	0.981 *	0.918
S6	20.78	166.68	1.061	0.208	knickpoint	0.969 *	0.805	0.945	0.965
S7	10.90	88.72	0.927	0.175	convex	0.989 *	0.977	0.896	0.991 *
S8	16.53	134.53	0.636	0.104	convex	0.986 *	0.987 *	0.892	0.945
S9	16.68	136.85	1.027	0.200	concave	0.981	0.987 *	0.897	0.990 *
S10	23.43	195.99	1.331	0.275	concave	0.884 *	0.643	0.659	0.498
S11	24.99	206.22	1.344	0.279	knickpoint	0.972 *	0.870	0.893	0.974 *
S12	25.70	202.75	0.888	0.165	knickpoint	0.968 *	0.865	0.772	0.966
S13	23.58	192.10	0.839	0.153	convex	0.976 *	0.843	0.956	0.973
S14	17.45	143.07	0.748	0.131	convex	1.000 *	0.983	0.971	0.999
S15	12.95	105.58	0.912	0.171	convex	0.984	0.853	0.940	0.997 *
S16	24.09	194.02	0.839	0.153	convex	0.975 *	0.973	0.870	0.949
S17	24.62	197.31	2.120	0.458	concave	0.958	0.968	0.840	0.998 *
S18	14.45	116.95	1.498	0.316	concave	0.998 *	0.917	0.981	0.989
S19	12.29	99.36	0.922	0.175	convex	0.938	0.830	0.970 *	0.936
S20	11.36	91.71	1.519	0.321	concave	0.948	0.998 *	0.899	0.981
S21	6.04	50.53	0.771	0.136	convex	0.993	0.925	0.970	0.999 *
S22	24.75	198.16	1.209	0.245	concave	0.978	0.884	0.987 *	0.982
S23	22.57	181.15	1.527	0.323	concave	0.948 *	0.657	0.943	0.762
S24	17.57	147.90	0.760	0.134	convex	0.790	0.938 *	0.406	0.647
S25	5.03	40.82	1.524	0.322	concave	0.997 *	0.936	0.943	0.996
Average	17.64	143.29	1.122	0.223

“*” represents the optimum-fit functions of longitudinal profile.