Application of SAC-SMA and IPH II hydrological models in the Teles Pires River basin, Brazil

Eduardo Morgan Uliana

Universidade Federal de Mato Grosso, Sinop, MT, Brasil

Frederico Terra de Almeida

Universidade Federal de Mato Grosso, Sinop, MT, Brasil

Adilson Pacheco de Souza

Universidade Federal de Mato Grosso, Sinop, MT, Brasil

Ibraim Fantin da Cruz

Universidade Federal de Mato Grosso, Sinop, MT, Brasil

Luana Lisboa

Companhia de Pesquisa de Recursos Minerais, Manaus, AM, Brasil

Marionei Fomaca de Sousa Júnior

Universidade Federal de Mato Grosso, Sinop, MT, Brasil

Authors contributions Eduardo Morgan Uliana: Calibration and validation of hydrological models and scientific writing.

Frederico Terra de Almeida: Routine software development R for execution of the SAC-SMA model, scientific writing and work evaluation.

Adilson Pacheco de Souza: Calculation of the reference evapotranspiration, revision of the climatic and hydrological database of the hydrographic basin and scientific writing.

Ibraim Fantin da Cruz: Contributed to the evaluation of the scientific writing and review of the results of the hydrological models.

Luana Lisboa: Organization and consistency analysis of the historical series of rainfall, flow and climate of the hydrographic basin. In addition, she assisted in the delineation of the sub-basins of the Teles Pires River.

Marionei Fomaca de Sousa Júnior: Assisted in the work as a fellow of scientific initiation linked to the research project. The main activities performed were organization of the base map for the basin, organization and consistency analysis of the historical series of rainfall, flow and climate of the basin.

ID	Code	Name	Station	Lat.	Long.
1	1720000	Porto Roncador	F	-13.55	-55.33
2	1721000	TelesPires	F	-12.67	-55.79
3	1728000	Cachoeirão	F	-11.65	-55.7
4	1730000	FazendaTratex	F	-10.95	-55.54
5	1738000	Jusante Foz P. de Azev.	F	-9.65	-56.01
6	1453000	Passagem da BR-309	P	-14.61	-53.99
7	1454000	Paranatinga	P	-14.41	-54.04
8	1356002	Nova Mutum	P	-13.81	-56.12
9	1355001	Porto Roncador	P	-13.55	-55.33
10	1255001	TelesPires	P	-12.67	-55.79
11	1255002	Rio Ferro	P	-12.51	-54.91
12	1154001	Santa Felicidade	P	-11.92	-54.99
13	1055003	FazendaTratex	P	-10.95	-55.54
14	1055002	Colíder	P	-10.79	-55.44
15	1054000	AgropecuáriaCajabi	P	-10.74	-54.54
16	1055001	Indeco	P	-10.11	-55.57
17	0956000	Alta Floresta	P	-9.87	-56.10
18	0954001	Cachimbo	P	-9.81	-54.88
19	0956001	Foz P. de Azevedo	P	-9.64	-56.01
20	83214	Matupá	M	-10.25	-54.91

Station	OF	Calibration	Validation	Area
1720000	MAE	Aug./2000 to Dec./2008	Jul./1998 to Jul./2000	10,823.31
1721000	MAE	Jun./1998 to Dec./2003	May/2005 to Dec./2008	14,030.98
1728000	MAE	May/1998 to Dec./2001	May/2005 to Dec./2008	34,689.68
1730000	E_NS	May/1998 to Dec./2003	May/2007 to Dec./2008	40,812.78
1738000	E_NS	May/1998 to Dec./2004	May/2007 to Dec./2008	81,748.27

Station	OF	Calibration	Validation	Area
1720000	r.sq.sqrt	Aug./2000 to Dec./2008	Jul./1998 to Jul./2000	10,823.31
1721000	r.sq.sqrt	Jun./1998 to Dec./2003	May/2005 to Dec./2008	14,030.98
1728000	r.sq.sqrt	May/1998 to Dec./2001	May/2005 to Dec./2008	34,689.68
1730000	r.sq.log	May/1998 to Dec./2003	May/2007 to Dec./2008	40,812.78
1738000	r.sq.sqrt	May/1998 to Dec./2004	May/2007 to Dec./2008	81,748.27

Station	Step	MAE⁽1⁾	RMSE⁽2⁾	Bias	E_NS⁽3⁾	d⁽4⁾	t⁽5⁾
1	calibration	72.40	135.40	-4.23	0.80	0.94	1.64⁽ns⁾
1	validation	68.80	114.00	-2.25	0.77	0.94	0.55^(ns)
2	calibration	67.24	111.17	1.91	0.82	0.94	0.78^(ns)
2	validation	77.21	128.08	2.71	0.86	0.96	0.78^(ns)
3	calibration	76.31	111.91	-4.87	0.92	0.98	1.60^(ns)
3	validation	143.45	216.78	-2.14	0.84	0.95	0.36^(ns)
4	calibration	97.57	141.32	-5.45	0.91	0.98	1.76^(ns)
4	validation	94.39	154.56	5.00	0.92	0.98	0.80^(ns)
5	calibration	272.72	363.70	-5.35	0.95	0.99	0.73^(ns)
5	validation	282.07	390.82	11.30	0.93	0.98	0.72^(ns)

Station	Step	MAE⁽1⁾	RMSE⁽2⁾	Bias	E_NS⁽3⁾	d⁽4⁾	t⁽5⁾
1	calibration	70.29	128.81	2.82	0.83	0.95	1.13^(ns)
1	validation	64.53	100.42	-2.57	0.83	0.95	0.66^(ns)
2	calibration	55.95	87.85	-1.92	0.89	0.97	0.94^(ns)
2	validation	83.29	142.51	-3.28	0.83	0.95	0.78^(ns)
3	calibration	74.39	104.67	-2.44	0.93	0.98	0.82^(ns)
3	validation	129.09	196.89	-3.28	0.87	0.97	0.59^(ns)
4	calibration	94.94	145.13	-11.91	0.90	0.98	3.65 ^* * Significant at 5% significance. The terms d, ENS and t are dimensionless, the remainder is in m3/s.
4	validation	133.53	199.17	104.13	0.89	0.97	13.85*
5	calibration	305.64	435.48	-3.97	0.92	0.98	0.44^(ns)
5	validation	276.08	399.68	17.83	0.94	0.98	1.01^(ns)

Brasil