Spatial distribution of rainfall erosivity in the manuel alves da natividade river basin, state of tocantins, brazil

Silva Neto, Virgílio Loureço; Batista, Elismar Dias; Leal Junior, Wilmar Borges; Fabris, Zanine Vargas; Rodrigues, Pedro James Almeida Wolney

doi:10.14393/SN-v32-2020-46182

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Papers • Soc. nat. 32 • 2020 • https://doi.org/10.14393/SN-v32-2020-46182 copy

Spatial distribution of rainfall erosivity in the manuel alves da natividade river basin, state of tocantins, brazil

Authorship SCIMAGO INSTITUTIONS RANKINGS

Abstract

The objective of this work is to calculate the values of erosivity and map the monthly and annual rainfall erosivity in the Manuel Alves da Natividade river basin in the southeastern region of the state of Tocantins, Brazil, based on ordinary kriging (KO) interpolator and the performance evaluation of the spherical, exponential and Gaussian models using rainfall data for the period 1983-2013. Geostatistics was applied to map erosivity on both monthly and annual scales. The annual erosivity showed values between 8,332 and 9,253 MJ mm ha^-1 h^-1 year^-1, with a peak in December, when it reached values of up to 2,170 MJ mm ha^-1 h^-1 year^-1 per month. From May to September, erosivity presented values lower than critical, considered as 500 MJ mm ha^-1 h^-1 year^-1 per month. Three critical regions were identified for planning actions aiming soil and water conservation: the northwest, the north and the central area of the Manuel Alves da Natividade river basin.

Keywords:
Hydrology; Interpolation; Soil loss; Rainfall

Rainfall Erosivity (MJ mm ha^-1 h^-1 year^-1)	Level of Erosivity	Observed data (%)
R ≤ 2,452	Low Erosivity	0
2,452 < R ≤ 4,905	Medium Erosivity	0
4,905< R ≤ 7,357	Medium-High Erosivity	0
7,357< R ≤ 9,810	High Erosivity	44
R > 9,810	Very High Erosivity	56

Parameter	1	2	3	4	5	6	7	8	9	10
Spherical Model
C0	44,964.14	21,931.74	0.00	0.00	0.00	0.00	2.84	1,004.53	3,181.65	216.24
A (Km)	242.19	221.23	261.79	128.80	124.72	106.96	99.79	210.19	186.07	98.89
C1	86,248.08	106,163.94	436,273.30	39,184.98	886.92	11.35	157.48	6,272.18	1,851.61	4,922.34
MAPE (%)	15.23	17.42	24.03	21.07	5.83	0.71	3.65	7.91	5.09	2.90
SD (%)	65.73	82.88	100.00	100.00	100.00	100,00	98.23	86.20	36.79	95.79
Exponential Model
C0	28,529.14	7,927.03	0.00	0.00	0.00	0.00	0.00	575.33	1,002.45	0.00
A (Km)	292.53	268.39	444.84	39.18	247.14	169.25	137.04	349.92	95.15	130.56
C1	109,408.59	127,410.38	505,792.85	40,329.76	1,054.57	12.72	172.47	7,900.72	3,866.29	5,480.33
MAPE (%)	15.04	16.97	23.11	22.98	5.77	0.75	3.63	7.99	4.70	2.90
SD (%)	79.32	94.14	100.00	100.00	100.00	100.00	100.00	93.21	79.41	100.00
Gaussian Model
C0	46,239.63	35,385.42	21,974.91	765.98	117.38	0.19	41.38	1,968.11	3,621.79	1,524.07
A (Km)	158.34	189.54	214.59	110.52	113.23	95.15	99.79	192.44	186.07	95.15
C1	79,775.42	94,344.12	430,076.98	41,138.63	791.88	11.82	123.85	5,490.89	1,521.55	3,676.33
MAPE (%)	14.63	17.64	25.45	21.95	5.69	0.72	3.68	7.41	2.95	2.95
SD (%)	63.31	72.72	95.14	98.17	87.09	98.43	74.96	73.61	29.58	70.69

	Nugget E. - C0	Reach (Km)	Contribution - C1	BIAS (%)	MAPE (%)	SD (%)
Spherical	0,00	255.54	2,471,316.02	0.89	8.42	100.00
Exponential	0,00	453.34	2,937,989.24	0.96	8.26	100.00
Gaussian	155,023.93	194.21	2,294,880.31	0.96	8.64	93.67

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[TFN1] Source: Carvalho (2008CARVALHO, N. D. O. Hidrossedimentologia prática. Rio de Janeiro: Interciência, 2008.), modified to the international metric of units according to Foster et al. (1981FOSTER, G.; MCCOOL, D.; RENARD, K.; MOLDENHAUER, W. Conversion of the universal soil loss equation to SI metric units. Journal of Soil and Water Conservation, v. 36, n. 6, p. 355-359, 1981.). Org.: Adapted by the author, 2018.