STREAMFLOW REGIONALIZATION IN PIQUIRI RIVER BASIN

Araujo, Fernanda C.; Mello, Eloy L. de; Gollin, Gisele M.; Quadros, Luciana E. de; Gomes, Benedito M.

doi:10.1590/1809-4430-Eng.Agric.v38n1p22-31/2018

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Sumário

Scientific Paper, Soil and Water Engineering • Eng. agríc. (Online) 38 (1) • Jan-Feb 2018 • https://doi.org/10.1590/1809-4430-Eng.Agric.v38n1p22-31/2018 copy

STREAMFLOW REGIONALIZATION IN PIQUIRI RIVER BASIN

Authorship SCIMAGO INSTITUTIONS RANKINGS

ABSTRACT

The objective of this study was to regionalize 7-day 10-year low flows, long-term annual mean, and 90% and 95% permanence flows from Piquiri (PR) river basin. The following regionalization methods were adopted: Traditional, Linear interpolation, Chaves, Modified linear interpolation, and Modified Chaves. The equations obtained by the Traditional method, adding main river length or drainage density as independent variables, significantly improved R² equations value. Streamflow forecasting by Linear Interpolation and Chaves methods were as good as those provided by the Traditional Method, thus, these methods could be applied to Piquiri River basin, especially when drainage area is the only available spatial information.

KEYWORDS
water availability; water resources management; average streamflow; low flows; flows permanence

Code^* * Hidroweb Network Code / ANA; A = Drainage area; Lp = Main river length; Dd = Drainage density; Sl = Declivity between main river source and mouth; Sm = basin mean slope; P = annual total rainfall.	Name	A (km²)	Lp (km)	Dd (m km^-2)	SI (m km^-1)	Sm (%)	P (mm year^-1)
64764000	Guampará	1687.5	151.4	0.71	3.58	14.68	1902.3
64765000	Paiquerê Harbour	3281.0	248.2	0.72	2.71	17.18	1900.1
64767000	Carriel Harbour	3536.4	261.1	0.72	2.64	17.38	1901.4
64771500	Guarani Harbour	4162.2	313.8	0.72	2.35	17.72	1904.1
64773000	Leôncio Primo Bridge	754.6	73.8	0.69	7.08	20.09	1993.5
64775000	Cantu Ferry	2521.0	184.4	0.69	3.61	16.62	1952.9
64776100	Cantu Mouth	7649.7	359.3	0.71	2.15	17.28	1918.2
64780000	Tourinho Bridge	274.3	34.8	0.63	7.14	10.71	1889.1
64785000	Goio-Bang Bridge	1335.3	134.1	0.64	3.46	8.64	1869.2
64790000	Salto Sapucaí	695.2	95.4	0.66	5.10	10.64	1799.2
64795000	Piquiri Bridge	11235.3	428.3	0.69	1.86	15.33	1895.2
64799500	New Port 2	12073.9	444.6	0.69	1.81	14.83	1893.9
64800000	Harbour 2	13100.4	454.2	0.68	1.78	14.19	1883.1
64810000	Goio-erê Ferry	2035.1	102.3	0.62	3.19	6.98	1719.0
64815000	Uberana Farm	2957.5	143.0	0.62	2.61	6.92	1688.4
64820000	Formosa Harbour	17415.9	501.3	0.67	1.65	12.39	1837.4
64830000	Santa Maria Ferry	20943.8	561.4	0.66	1.53	11.39	1824.3
64833000	Iporã	1065.5	60.6	0.62	3.03	7.73	1532.9

Flow	Model	Equation^* *()** A = Area (km2); Lp = main river length (m); Dd = drainage density (mkm-2).	R²
Q_med	Simple Potential	Q_med = 0,047A^0,9336	0.97
Q _7,10	Simple linear	Q_7,10 = −1,675 + 0,00370A	0.86
Q _7,10	Multiple Potential	Q_7,10 = 0,0000286A^1,074Dd^−10,32	0.99
Q ₉₀	Simple linear	Q₉₀ = −3,882 + 0,007358A	0.94
Q ₉₀	Multiple Potential	Q₉₀ = 0,003692A^2,388Lp^−2,0599	0.98
Q ₉₅	Simple linear	Q₉₅ = −3,44 + 0,00593A	0.92
Q ₉₅	Multiple Linear	Q₉₅ = 12,3 + 0,00979A − 0,153Lp	0.95

Code	Q_7.10	T (A, Dd)		T (A)		LI		LI - mod		C		C - mod
Code	Obs (m³ s^-1)	Q_7.10(est) (m³ s^-1)	RE (%)	Q_7.10(est) (m³ s^-1)	RE (%)	Q_7.10(est) (m³ s^-1)	RE (%)	Q_7.10(est) (m³ s^-1)	RE (%)	Q_7.10(est) (m³ s^-1)	RE (%)	Q_7.10(est) (m³ s^-1)	RE (%)
64764000	4.5	3.0	33.1	4.6	1.6	3.2	27.6	3.2	27.5	3.2	27.6	3.2	27.5
64765000	6.3	5.0	20.5	10.5	66.3	7.0	11.6	7.0	11.5	7.1	12.2	7.1	12.2
64767000	7.4	5.5	26.3	11.4	54.3	6.4	13.9	6.4	13.9	6.6	11.1	6.6	11.1
64771500	6.7	6.7	0.7	13.7	105.0	9.0	34.7	9.0	34.6	9.2	38.1	9.2	37.6
64773000	0.4	1.7	287.0	1.1	179.8	1.6	251.5	1.6	258.8	1.6	251.5	1.6	258.8
64775000	5.3	5.6	6.2	7.7	44.5	5.8	10.5	5.8	10.5	5.8	9.3	5.9	11.3
64776100	17.7	14.4	18.6	26.7	50.6	17.0	4.1	17.2	2.7	14.8	16.2	15.0	15.4
64780000	1.4	1.3	5.9	-0.7	147.1	0.6	54.6	0.6	54.5	0.6	54.6	0.6	55.1
64785000	8.4	6.3	24.9	3.3	61.1	3.2	61.6	3.2	61.5	3.2	62.3	3.1	63.1
64790000	6.3	2.5	60.2	0.9	85.7	1.7	73.1	1.6	74.7	1.7	73.3	1.6	74.7
64795000	27.6	27.5	0.2	39.9	44.7	26.2	5.0	26.1	5.1	26.2	5.1	26.1	5.2
64799500	28.1	31.5	12.0	43.0	53.1	30.5	8.3	30.6	8.7	30.7	9.2	30.8	9.6
64800000	34.1	38.5	13.1	46.8	37.3	36.7	7.7	36.9	8.4	34.6	1.6	34.7	1.8
64810000	15.5	14.8	4.8	5.9	62.2	13.6	12.2	13.9	10.6	13.6	12.2	13.9	10.6
64815000	19.8	22.6	14.1	9.3	53.1	8.3	57.9	7.8	60.6	12.3	38.0	6.7	66.4
64820000	72.7	68.1	6.3	62.8	13.6	67.0	7.8	66.5	8.6	59.7	17.9	59.3	18.4
64830000	93.9	94.8	0.9	75.9	19.2	87.4	6.9	88.1	6.2	87.4	6.9	88.1	6.2
64833000	8.9	7.5	15.8	2.3	74.5	4.8	46.3	4.6	48.7	4.8	46.3	4.6	48.4
Average			30.6		64.1		38.6		39.3		38.5		40.7

	T (A, Dd)	T (A)	LI	LI - mod	C	C - mod
ME	0.42	0.003	1.94	1.93	2.33	2.61
NS	0.99	0.92	0.97	0.97	0.97	0.96
RMSE	2.39	8.94	4.08	4.18	4.5	5.19
dr	0.95	0.78	0.91	0.91	0.91	0.9

Code	Q₉₀	T (A, Lp)		T (A)		LI		LI - mod		C		C - mod
Code	Obs (m³ s^-1)	Q₉₀ (est) (m³ s^-1)	RE (%)	Q₉₀ (est) (m³ s^-1)	RE (%)	Q₉₀ (est) (m³ s^-1)	RE (%)	Q₉₀ (est) (m³ s^-1)	RE (%)	Q₉₀ (est) (m³ s^-1)	RE (%)	Q₉₀ (est) (m³ s^-1)	RE (%)
64764000	11.6	6.1	47.4	8.5	26.4	8.5	26.8	8.5	26.7	8.5	26.8	8.5	26.7
64765000	16.5	10.7	34.7	20.3	22.8	15.2	7.8	15.2	7.8	15.4	6.7	15.3	6.8
64767000	15.8	11.6	26.5	22.1	40.1	17.2	9.1	17.2	9.1	17.5	11	17.5	11
64771500	18.9	11.7	38.4	26.7	41.5	18.9	0.6	18.9	0.7	19.2	1.1	19.1	0.7
64773000	2.1	3.9	83.8	1.7	20.5	3.2	52.2	3.3	55.3	3.2	52.2	3.3	55.3
64775000	10.8	10.6	2.1	14.7	35.8	12	10.8	12	10.8	12	10.7	12.2	12.7
64776100	36.3	37.9	4.3	52.4	44.4	42	15.6	42.5	17.1	38.8	6.7	39.1	7.7
64780000	2.4	1.6	32.9	-1.9	177.6	1.4	43.1	1.4	43	1.4	43.3	1.4	43.9
64785000	12.8	4.5	65.3	5.9	53.6	7.4	42.5	7.4	42.3	7	45.8	6.8	46.9
64790000	5.7	1.9	67	1.2	78.4	4	30.1	3.7	35.4	3.9	32.1	3.7	35.7
64795000	65.6	66	0.7	78.8	20.1	68.1	3.9	68	3.7	67.2	2.4	67.1	2.2
64799500	75.6	72.6	3.9	85.0	12.4	68	10.1	68.1	10	67.2	11	67.5	10.8
64800000	70.9	84.5	19.1	92.5	30.5	85.9	21.2	86.2	21.6	84.6	19.3	84.6	19.4
64810000	21.3	21.3	0.2	11.1	47.9	21.2	0.5	21.5	1.3	21.2	0.5	21.5	1.3
64815000	30.7	26.1	15.1	17.9	41.8	14.1	54.1	13.7	55.5	17.3	43.9	15.8	48.5
64820000	129.3	136.1	5.2	124.3	3.9	129.5	0.1	128.6	0.6	117.7	9	116.8	9.7
64830000	177.4	167.4	5.7	150.2	15.3	155.6	12.3	156.7	11.7	155.6	12.3	156.7	11.7
64833000	11.4	13.4	16.9	4.0	65.3	9	21	8.6	24.5	9	21	8.7	24.1
Average			26.6		43.24		20.1		20.95		38.5		20.84

Code	Q₉₅	T (A, Lp)		T (A)		LI		LI - mod		C		C - mod
Code	Obs (m³ s^-1)	Q₉₅ (est) (m³ s^-1)	RE (%)	Q₉₅ (est) (m³ s^-1)	RE (%)	Q₉₅ (est) (m³ s^-1)	RE (%)	Q₉₅ (est) (m³ s^-1)	RE (%)	Q₉₅ (est) (m³ s^-1)	RE (%)	Q₉₅ (est) (m³ s^-1)	RE (%)
64764000	8.9	5.7	36.4	6.6	26.2	6.6	26.1	6.6	26	6.6	26.1	6.6	26
64765000	12.8	6.4	49.6	16.0	25.1	11.9	6.6	11.9	6.7	12.1	5.6	12.1	5.7
64767000	12.4	7	43.8	17.5	41.4	12.7	2.2	12.7	2.2	13.3	6.9	13.3	6.9
64771500	12.5	5	59.7	21.2	69.9	14.8	18.7	14.8	18.5	15	20.2	15	19.8
64773000	1.4	8.4	518.7	1.0	26.1	2.5	84.2	2.5	88	2.5	84.2	2.5	88
64775000	8.3	8.8	5.1	11.5	38.7	9.3	11.6	9.3	11.6	9.2	10.8	9.2	10.8
64776100	28.2	32.2	14	41.9	48.7	30.2	7	30.6	8.5	26.9	4.7	27.2	3.8
64780000	1.9	9.7	409.6	-1.8	195.4	1.1	43.8	1.1	43.7	1.1	44	1.1	43.9
64785000	9.5	4.9	48.9	4.5	52.9	5.5	41.8	5.5	41.6	5.3	44.3	5.3	44.4
64790000	4.8	4.5	6.2	0.7	85.8	3	38.2	2.8	42.5	2.9	39.5	2.8	42.7
64795000	48.4	56.8	17.2	63.2	30.5	49.1	1.5	49.1	1.3	48.6	0.4	48.6	0.3
64799500	54	62.5	15.6	68.2	26.2	52.3	3.3	52.4	3	52.3	3.2	52.5	2.9
64800000	56.9	71.1	24.8	74.2	30.5	64.5	13.3	64.8	13.8	62.5	9.8	62.6	9.9
64810000	19.5	16.6	14.9	8.6	55.8	18.4	5.5	18.7	3.8	18.4	5.5	18.7	3.8
64815000	26.8	19.4	27.6	14.1	47.4	13	51.4	12.3	54.1	12.8	52.3	12.7	52.4
64820000	108.3	106.1	2.1	99.8	7.8	105.3	2.8	104.5	3.5	95.3	12	94.7	12.6
64830000	144.8	131.4	9.2	120.8	16.6	130.3	10.1	131.2	9.4	130.3	10.1	131.2	9.4
64833000	10.9	13.5	22.6	2.9	73.6	7.4	32.8	7	35.9	7.4	32.8	7.1	35.5
Average			73.7		49.9		22.7		23.0		22.9		23.3

	T (A, Lp)	T (A)	LI	LI - mod	C	C - mod
ME	1.53	-0.00047	1.9	1.88	2.72	1.9
NS	0.98	0.94	0.97	0.97	0.97	0.97
RMSE	5.72	11.32	47.93	7.87	7.91	7.93
dr	0.94	0.87	0.93	0.93	0.93	0.93

	T (A, Lp)	T (A)	LI	LI - mod	C	C - mod
ME	0.04	-0.02	1.81	1.81	2.67	2.63
NS	0.97	0.92	0.98	0.98	0.97	0.97
RMSE	6.98	10.8	5.39	5.42	6.07	6.04
dr	0.90	0.84	0.94	0.94	0.93	0.93

Code	Q_med(est)	T (A)		LI		LI - mod		C		C - mod
Code	Obs (m³ s^-1)	Q_med(est) (m³ s^-1)	RE (%)	Q_med(est) (m³ s^-1)	RE (%)	Q_med(est) (m³ s^-1)	RE (%)	Q_med(est) (m³ s^-1)	RE (%)	Q_med(est) (m³ s^-1)	RE (%)
64764000	53.8	48.4	10.0	41.7	22.5	41.7	22.4	41.7	22.5	41.7	22.4
64765000	81.1	90.1	11.1	101.1	24.8	101.1	24.7	101.2	24.9	101.1	24.8
64767000	108.7	96.6	11.1	92.5	14.9	92.5	14.9	89.7	17.5	89.8	17.4
64771500	120.5	112.5	6.6	125.5	4.2	125.4	4.1	123.3	2.3	122.9	2.0
64773000	29.6	22.8	22.9	19.9	32.9	20.3	31.5	19.9	32.9	20.3	31.5
64775000	66.4	70.4	6.1	72.3	8.9	72.3	8.9	72.3	8.9	72.3	8.9
64776100	219.4	198.6	9.5	210.6	4.0	212.8	3.0	215.6	1.7	217.5	0.8
64780000	6.5	8.9	37.2	7.7	19.3	7.7	19.4	7.7	19.4	7.7	19.5
64785000	29.6	38.9	31.3	36.7	23.7	36.7	24.0	37.3	26.0	37.3	25.8
64790000	17.8	21.2	18.7	18.8	5.7	18.0	0.9	19.0	6.7	18.0	1.0
64795000	303.3	284.3	6.3	333.6	10.0	333.3	9.9	332.9	9.8	332.3	9.6
64799500	360.4	304.1	15.6	281.0	22.0	280.1	22.3	267.8	25.7	268.6	25.5
64800000	253.6	328.1	29.4	371.8	46.6	372.1	46.7	378.3	49.2	377.8	49.0
64810000	45.4	57.7	27.0	42.2	7.1	43.0	5.4	42.2	7.1	43.0	5.4
64815000	61.3	81.8	33.4	23.6	61.6	27.7	54.8	79.5	29.7	79.5	29.7
64820000	420.0	428.0	1.9	397.2	5.4	395.0	6.0	377.0	10.2	373.8	11.0
64830000	514.6	508.5	1.2	505.0	1.9	508.7	1.1	505.0	1.9	508.7	1.1
64833000	19.0	31.5	65.9	26.2	37.7	25.0	31.5	26.2	37.7	25.1	32.3
Average			19.8		19.62		18.41		18.46		17.65

	T (A)	LI	LI - mod	C	C - mod
ME	57.35	0.19	-0.14	-1.43	-1.48
NS	0.64	0.94	0.92	0.93	0.93
RMSE	91.15	36.81	36.71	39.75	39.67
Dr	0.78	0.91	0.92	0.91	0.91

Associação Brasileira de Engenharia Agrícola SBEA - Associação Brasileira de Engenharia Agrícola, Departamento de Engenharia e Ciências Exatas FCAV/UNESP, Prof. Paulo Donato Castellane, km 5, 14884.900 | Jaboticabal - SP, Tel./Fax: +55 16 3209 7619 - Jaboticabal - SP - Brazil
E-mail: revistasbea@sbea.org.br

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[1] *Corresponding author. Western Paraná State University/ Cascavel - PR, Brazil. E-mail: fercristina_@hotmail.com