Adjustment and Validation of IDF Equations From Pluviometric Data for Cities in the State of Pernambuco, Brazil

Lima Neto, Vicente de Sousa; Tavares, Paulo Roberto Lacerda; Batista, Tatiane Lima

doi:10.1590/0102-7786360031

Acessibilidade / Reportar erro

Brasil

Revista Brasileira de Meteorologia

Español English

Brasil

Español English

sumário « anterior atual seguinte »

Sumário

Artigo • Rev. bras. meteorol. 36 (4) • Oct-Dec 2021 • https://doi.org/10.1590/0102-7786360031 copy

Adjustment and Validation of IDF Equations From Pluviometric Data for Cities in the State of Pernambuco, Brazil

Authorship SCIMAGO INSTITUTIONS RANKINGS

Abstract

IDF equations are essential in the management, design, and operation of water systems and can be obtained through pluviograph data and pluviometric data. In this work, annual daily maximum precipitation data were collected from the National Water Agency (ANA) for 31 cities in the Sertão Pernambucano mesoregion. Initially, non-parametric hypothesis tests were applied to the data at a significance level of 5%. Then, the data were fitted to probability distributions, and the parameters of the IDF equations were determined by the isozone disaggregation method and logarithmic interpolation. The intensities calculated by the isozone method and the intensities calculated by the adjusted IDF equation were compared by the efficiency coefficients (NSE) and the percentage standard error (EPE) to evaluate the adjustment of the parameters. Finally, the intensities of IDF equations for pluviometric and pluviographic data were compared using statistical indices for some cities. The results revealed that EPE ranged from 2% to 7%, NSE was above 0.98, and the statistical indices showed a great performance. Therefore, the disaggregation methodology used is a viable alternative for fitting IDF equations in the studied region.

Keywords
IDF equations; rainfall disaggregation; hydroinformatics

Município	Latitude	Longitude	Número de anos da série	a	b	c	S	n	Distribuição de probabilidade	Isozona
Afogados da Ingazeira	−7,74	−37,65	99	16,102	0,109	13,396	−2,14	0,763	Gamma II	D
Araripina	−7,55	−40,57	54	20,812	0,088	11,007	−2,16	0,786	Gamma III	F
Arcoverde	−8,43	−37,07	56	15,242	0,188	15,945	−2,09	0,76	Gamma III	C
Belo Jardim	−8,33	−36,45	25	16,239	0,158	15,945	−2,04	0,76	Log Normal II	C
Bodocó	−7,53	−40,10	47	21,575	0,069	11,065	−2,22	0,787	Gamma III	F
Buíque	−8,62	−37,17	64	11,253	0,218	15,945	−2,09	0,76	Log Normal III	C
Cedro	−7,72	−39,21	30	20,784	0,142	11,141	−2,09	0,788	Gumbel	F
Custódia	−8,10	−37,65	51	16,804	0,133	13,705	−2,06	0,767	Gumbel	D
Exu	−7,52	−39,72	58	19,949	0,141	10,988	−2,09	0,786	Gumbel	F
Flores	−7,87	−37,97	106	18,363	0,082	11,684	−2,18	0,77	Gamma III	E
Granito	−7,72	−39,62	28	20,439	0,117	11,141	−2,15	0,788	Gamma II	F
Iguaracy	−7,83	−37,38	33	17,539	0,134	13,801	−2,06	0,768	Log Normal II	D
Ipubi	−7,42	−40,18	23	20,509	0,098	11,17	−2,16	0,788	Gamma III	F
Itapetim	−7,37	−37,18	27	18,08	0,138	13,866	−2,06	0,769	Gumbel	D
Moreilândia	−7,73	−39,55	55	18,429	0,127	11,007	−2,07	0,786	Gumbel	F
Ouricuri	−7,88	−40,07	74	18,033	0,102	10,903	−2,14	0,784	Gamma III	F
Salgueiro	−8,07	−39,12	77	20,28	0,13	10,903	−2,07	0,784	Log Normal III	F
Serra Talhada	−7,98	−38,30	78	16,613	0,126	11,822	−2,07	0,772	Gumbel	E
Serrita	−7,93	−39,32	58	20,702	0,128	10,988	−2,15	0,786	Gamma II	F
Tabira	−7,58	−37,55	23	17,484	0,123	12,13	−2,06	0,777	Gumbel	E
Trindade	−7,75	−40,25	27	21,333	0,1	11,17	−2,08	0,788	Log Normal II	F
Tupanatinga	−8,75	−37,35	31	15,249	0,115	15,945	−2,03	0,76	Log Normal II	C

Município	Período de retorno (anos)
	5	10	15	20	25	30	50	100
Araripina	0,983	0,985	0,987	0,988	0,989	0,990	0,991	0,990
Ipubi	0,996	1,000	1,000	1,000	1,000	1,000	1,000	0,999
Serra Talhada	0,986	0,994	0,993	0,992	0,990	0,989	0,983	0,974
Tabira	0,990	0,997	0,998	0,999	0,999	0,999	0,998	0,997

Município	Período de retorno (anos)
	5	10	15	20	25	30	50	100
Araripina	0,932	0,939	0,948	0,954	0,958	0,961	0,966	0,966
Ipubi	0,985	0,998	0,999	0,999	0,999	0,999	0,998	0,996
Serra Talhada	0,940	0,972	0,969	0,962	0,953	0,945	0,915	0,859
Tabira	0,961	0,988	0,993	0,994	0,994	0,994	0,992	0,988

Município	Período de retorno (anos)
	5	10	15	20	25	30	50	100
Araripina	−14%	−13%	−12%	−10%	−9%	−8%	−6%	−2%
Ipubi	7%	3%	2%	1%	1%	0%	0%	−1%
Serra Talhada	15%	8%	6%	4%	2%	1%	−2%	−5%
Tabira	13%	8%	6%	5%	5%	4%	3%	1%

Município	Período de retorno (anos)
	5	10	15	20	25	30	50	100
Araripina	8,446	8,880	8,713	8,505	8,306	8,115	7,511	6,537
Ipubi	3,843	1,469	0,837	0,803	0,895	1,019	1,411	2,013
Serra Talhada	7,048	4,873	4,723	4,971	5,355	5,773	7,180	9,785
Tabira	6,427	3,640	2,579	2,416	2,528	2,679	3,262	4,241

Sociedade Brasileira de Meteorologia Rua. Do México - Centro - Rio de Janeiro - RJ - Brasil, +55(83)981340757 - São Paulo - SP - Brazil
E-mail: sbmet@sbmet.org.br

Acompanhe os números deste periódico no seu leitor de RSS

[1] Autor de correspondência: Vicente de Sousa Lima Neto, engvicentesl@gmail.com.