Development and application of a rainfall-runoff model for semi-arid regions

José Almir Cirilo

Centro Acadêmico do Agreste, Universidade Federal de Pernambuco, Caruaru, PE, Brasil

Lívia Fragoso de Melo Verçosa

Centro de Tecnologia e Geociências, Universidade Federal de Pernambuco, Recife, PE, Brasil

Mayara Maria de Arruda Gomes

Centro de Tecnologia e Geociências, Universidade Federal de Pernambuco, Recife, PE, Brasil

Maria Alice Britto Feitoza

Centro Acadêmico do Agreste, Universidade Federal de Pernambuco, Caruaru, PE, Brasil

Gadadhara de Figueiredo Ferraz

Centro de Tecnologia e Geociências, Universidade Federal de Pernambuco, Recife, PE, Brasil

Bruno de Melo Silva

Centro de Tecnologia e Geociências, Universidade Federal de Pernambuco, Recife, PE, Brasil

Lívia Fragoso de Melo Verçosa: development of programming routines for model implementation.

Mayara Maria de Arruda Gomes: development of programming routines for model implementation.

Maria Alice Britto Feitoza: application of the model in different basinsGadadhara de Figueiredo Ferraz: application of the model in different basins.

	Santa Cruz do Capibariube (SCB)	Toritama (CRB)	Limoeiro (CRB)	Paudalho (CRB)	São Lourenço da Mata (SLB)	Caruaru (IRB)	Floresta (PRB)	Santana (MRB)
$I$ (m/m)	0,0024	0.0023	0.0023	0.0022	0,0021	0.0018	0.0009	0,0009
$A_{b}$ (km²)	6,119	2,458	2,419	6,199	7,260	2021	12207	676
$L_{T}$ (km)	4,509	1,927	1,927	5,008	58,915	2478	4542	2,726
$B_{e}$ (m)	3	1.5	3	3	1,5	2	3	1.5
$K$	0.018	0.029	0.029	0.01	0.0199	0.021	0.018	0.009
$S$ (mm)	130	130	130	130	130	82	68	130
$α$	2.477	1.477	0.3217	0.3217	0.085	3	1.4404	0.53
$K_{s}$	0.0021	0	0	0	0.00001	0.0204	0	0.00001
$K_{L}$	0.0625	0.2224	0.4417	0.4417	0.365	0.3651	0.2224	0.5178

Performance rating for monthly simulations	NSE	Pbias %	RSR
Very good	0.75-1.00	< ±10	0-0.5
Good	0.65-0.75	±10 - ±15	0.5-0.6
Satisfactory	0.50-0.65	±15 - ±25	0.6-0.7
Unsatisfactory	<0.5	>±25	>0.7

	Santa Cruz do Capibariube (SCB)	Toritama (CRB)	Limoeiro (CRB)	Paudalho (CRB)	São Lourenço da Mata (SLB)	Caruaru (IRB)	Floresta (PRB)	Santana (MRB)
Α	1.4	1.4	1.4	1.4	1.4	1.4	1.4	1.4
K _S	0.0001	0.0001	0.0001	0.0001	0.0001	0.0001	0.0001	0.0001
K _L	0.2204	0.2227	0.3239	0.3	0.24	0.4232	0.5312	0.5089
$N S E$	0.55	0.57	0.40	0.60	0.75	0.43	0.49	0.51
$P b i a s$ %	-16.22	-9.30	-17.19	-3.25	22.39	-5.13	-11.54	4.32
$R S R$	0.11	0.11	0.15	0.10	0.06	0.14	0.13	0.12
Nº of years	21	21	21	21	21	21	21	17

R S R = |\frac{{[\sum_{i = 1}^{n} {(Q_{i, o b s} - Q_{i, c a l})}^{2}]}^{1 / 2}}{{[\sum_{i = 1}^{n} {(Q_{i, o b s} - \bar{Q_{o b s}})}^{2}]}^{1 / 2}}|

N S E = 1 - \frac{\sum_{i = 1}^{n} {(Q_{i, o b s} - Q_{i, c a l})}^{2}}{\sum_{i = 1}^{n} {(Q_{i, o b s} - \bar{Q_{o b s}})}^{2}}

N S E_{s q r t Q} = 1 - \frac{\sum_{i = 1}^{n} {(\sqrt{Q_{i, o b s}} - \sqrt{Q_{i, c a l}})}^{2}}{\sum_{i = 1}^{n} {(\sqrt{Q_{i, o b s}} - \sqrt{\bar{Q_{o b s}}})}^{2}}

N S E_{l o g Q} = 1 - \frac{\sum_{i = 1}^{n} {(\log Q_{i, o b s} - \log Q_{i, c a l})}^{2}}{\sum_{i = 1}^{n} {(\log Q_{i, o b s} - \log \bar{Q_{o b s}})}^{2}}

Brasil