Probability Distribution Functions (PDFs) Selection to Rainfall Time Series from Brazilian Semiarid Cities

Jose Ramon Barros Cantalice

Authors

Jose Ramon Barros Cantalice

climate variability, rainfall time series, seasonal rainfall variability

Abstract

The Brazilian semiarid environment that has a rightly variable hydrologic behavior, and consequently is a climate change spot to all scenarios designed by IPCC. On this, the objective of this research was to verify the rainfall patterns and select the better distribution statistical adjustment inrainfall time series from semiarid of Pernambuco State, in a total of thirty analyzed cities, inside the Brazilian semiarid. Therefore, through the analysis of rainfall distribution in monthly and annual time series, the Probability Distribution Function (PDF), that had produced the better adjustment for the data set observed for most of cities was the Weibull (type 3) for the monthly data set, while in the annual time series the distribution that obtained the best adjustment to the data among those observed was the Logistics PDF, better adjusted to ten cities. The distribution Gama (type 2) Probability Distribution Function was better adjusted to six cities, and the GEV (Generalized Extreme Values) distribution showed good adherence in five of the thirty analyzed cities. The Log-Normal distribution adjusted well to four cities, the Fréchet distribution (Fisher -Tippett type 2) to three cities, and Weibull distribution (type 3) and Normal adjusted well just to one city each.

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Probability Distribution Functions (PDFs) Selection to Rainfall Time Series from Brazilian Semiarid Cities. (2021). Global Journal of Science Frontier Research, 20(H6), 25-39. https://www.journalofscience.org/index.php/GJSFR/article/view/2873

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References

Clayton Alvares, José Stape, Paulo Sentelhas, José De Moraes Gonçalves, Gerd Sparovek (2014) Köppen's climate classification map for Brazil. 22(6), 711-728.

N Batisani, B Yarnal (2010) Rainfall variability and trends in semi-arid Botswana: Implications for climate change adaptation policy. 30, 483-489.

T Ben-Gai, A Bitan, A Manes, P Alpert, S Rubin (1998) Spatial and Temporal Changes in Rainfall Frequency Distribution Patterns in Israel. 61, 177-190.

Francisco Balocchi, Roberto Pizarro, Thomas Meixner, Fernando Urbina (2017) Annual and monthly runoff analysis in the Elqui River, Chile, a semi-arid snow-glacier fed basin. 08(6), 23-35.

Jose Cantalice, Moacyr Cunha Filho, Borko Stosic, Victor Piscoya, Sergio Guerra, Vijay Singh (2013) Relationship between bedload and suspended sediment in the sand-bed Exu River, in the semi-arid region of Brazil. 58(8), 1789-1802.

M Catalunha, C Sediyamag, B Leal, C Soares, A Ribeiro (2002) Aplicação de cinco funções densidade de probabilidade a séries de precipitação pluvial no estado de Minas Gerais. 10(1), 153-162.

Milan Gocic, Slavisa Trajkovic (2013) Analysis of changes in meteorological variables using Mann-Kendall and Sen's slope estimator statistical tests in Serbia. 100, 172-182.

Khaled Haddad, Ataur Rahman (2011) Selection of the best fit flood frequency distribution and parameter estimation procedure: a case study for Tasmania in Australia. 25(3), 415-428.

Stefan Hastenrath (1984) Interannual Variability and Annual Cycle: Mechanisms of Circulation and Climate in the Tropical Atlantic Sector. 112(6), 1097-1107.

Stefan Hastenrath, Leon Heller (1977) Dynamics of climatic hazards in northeast Brazil. 103(435), 77-92.

Richard Katz, Barbara Brown (1992) Extreme events in a changing climate: Variability is more important than averages. 21(3), 289-302.

R Katz (1991) Towards a statistical paradigm for climate change. 2, 167-175.

M Kayano, R Andreoli (2009) Variabilidade decenal e multidecenal. 375-383.

M Khudri, F Sadia (2013) Determination of the Best Fit Probability Distribution for Annual Extreme Precipitation in Bangladesh. 103(3), 391-404.

Abdullah Mamoon, Ataur Rahman (2017) Selection of the best fit probability distribution in rainfall frequency analysis for Qatar. 86(1), 281-296.

Juan Monteiro Da Silva (2011) Gestão de recursos hídricos em propriedades rurais do semiárido. 383-422.

Linda Mearns, Richard Katz, Stephen Schneider (1984) Extreme High-Temperature Events: Changes in their probabilities with Changes in Mean Temperature. 23(12), 1601-1613.

Antonio Moura, Jagadish Shukla (1981) On the Dynamics of Droughts in Northeast Brazil: Observations, Theory and Numerical Experiments with a General Circulation Model. 38(12), 2653-2675.

M Moura, J Galvíncio, L Brito, L Souza, I Sá, T Silva (2007) Clima e água de chuva no Semiárido.

(2005) Mudança de Clima, I: Negociações internacionais sobre a mudança de clima 39-41. 147-216.

M Naghettini, M Portela (2012) Estatística e Probabilidade Aplicadas à Hidrologia. 8, 1-41.

I Noy-Meir Desert ecosystems: environment and producers, 1973. 4, 25-51.

Julio Pérez-Sánchez, Javier Senent-Aparicio (2017) Analysis of meteorological droughts and dry spells in semiarid regions: a comparative analysis of probability distribution functions in the Segura Basin (SE Spain). 133(3-4), 1061-1074.

M Ramos, J Martinez-Casasnovas (2006) Trends in precipitation concentration and extremes in the Mediterranean Penedes-Anoia region, NE Spain. 74, 457-474.

W Rocha, F Angelotti, I Sá, E Menezes, G Pellegrino, Org (2009) AVALIAÇÃO DAS PERDAS DE PRECIPITAÇÃO POR INTERCEPTAÇÃO VEGETAL PARA O BIOMA CAATINGA NO SEMIÁRIDO BRASILEIRO. 5, 77-94.

Shachi Sharma, Sher Singh (2010) Comparative Analysis of Machine Learning Classifiers for Text Classification: Characterization of Features Probability Distribution. 3, 1-7.

I Silva, J Oliveira, L Fontes, F Arraes (2013) Distribuição de frequência da chuva para região Centro-Sul do Ceará, Brasil. 44(3), 481-487.

I Souza, W Lundgren, A Netto (2010) Comparação entre distribuições de probabilidades da precipitação mensal no estado de Pernambuco. 6(6).

(1990) SUDENE -Superintendência do Desenvolvimento do Nordeste. Dados pluviométricos mensais do Nordeste. 10, 10.

Slavisa Trajkovic, Srdjan Kolakovic (2009) Wind-adjusted Turc equation for estimating reference evapotranspiration at humid European locations. 40(1), 45-52.

Guangju Zhao, Xingmin Mu, Peng Tian, Fei Wang, Peng Gao (0120) Climate changes and their impacts on water resources in semiarid regions: a case study of the Wei River basin, China. 27(26), 3852-3863.

F Andersen (0111) Final Report on the Safety Assessment of Ceteareth-2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12, -13, -14, -15, -16, -17, -18,-20,-22,-23,-24,-25,-27, -28, -29, -30, -33, -34, -40, -50, -55, -60, -80, and -100. 18(3_suppl), 41-49.

Maria De Melo (0162) Ribeirinhos do São Francisco e a resistência frente à construção da Usina Hidrelétrica de Riacho Seco: o caso do município de Santa Maria da Boa Vista/PE. 1(1).

(0110) Unknown Title. 95, 3-117.