Stochastic ARIMA model for annual rainfall and maximum temperature forecasting over Tordzie watershed in Ghana

• Autorzy: Nyatuame M. , Agodzo S. K.

Identyfikatory

DOI

10.2478/jwld-2018-0032

Warianty tytułu

PL

Stochastyczny model ARIMA do prognozowania rocznego opadu i maksymalnej temperatury w zlewni Tordzie w Ghanie

• Języki publikacji: EN

Abstrakty

EN

The forecast of rainfall and temperature is a difficult task due to their variability in time and space and also the inability to access all the parameters influencing rainfall of a region or locality. Their forecast is of relevance to agriculture and watershed management, which significantly contribute to the economy. Rainfall prediction requires mathematical modelling and simulation because of its extremely irregular and complex nature. Autoregressive integrated moving average (ARIMA) model was used to analyse annual rainfall and maximum temperature over Tordzie watershed and the forecast. Autocorrelation function (ACF) and partial autocorrelation function (PACF) were used to identify the models by aid of visual inspection. Stationarity tests were conducted using the augmented Dickey–Fuller (ADF), Mann–Kendall (MK) and Kwiatkowski–Phillips–Schmidt–Shin (KPSS) tests respectively. The chosen models were evaluated and validated using the Akaike information criterion corrected (AICC) and also Schwartz Bayesian criteria (SBC). The diagnostic analysis of the models comprised of the independence, normality, homoscedascity, P–P and Q–Q plots of the residuals respectively. The best ARIMA model for rainfall for Kpetoe and Tordzinu were (3, 0, 3) and (3, 1, 3) with AICC values of 190.07 and 178.23. That of maximum temperature for Kpetoe and Tordzinu were (3, 1, 3) and (3, 1, 3) and the corresponding AICC values of 23.81 and 36.10. The models efficiency was checked using sum of square error (SSE), mean square error (MSE), mean absolute percent error (MAPE) and root mean square error (RMSE) respectively. The results of the various analysis indicated that the models were adequate and can aid future water planning projections.

PL

Prognozowanie opadu i temperatury jest trudnym zadaniem z powodu zmienności tych parametrów w czasie i przestrzeni, a także nieznajomości wszystkich czynników wpływających na opady w regionie czy w danej miejscowości. Prognozowanie opadów jest ważne dla rolnictwa i gospodarki zlewniowej, mających znaczący wkład w gospodarkę regionu. Przewidywanie opadu wymaga modelowania matematycznego i symulacji z powodu jego skrajnie nieregularnego i złożonego charakteru. Do analizy i prognozowania rocznych opadów i maksymalnej temperatury w zlewni Tordzie wykorzystano autoregresyjny zintegrowany model średniej ruchomej (ARIMA). Do zidentyfikowania modeli metodą oglądu wizualnego użyto funkcji autokorelacji (ACF) i cząstkowej autokorelacji (PACF). Testy stacjonarności przeprowadzono za pomocą testów Dickeya–Fullera (ADF), Manna–Kendalla (MK) i Kwiatkowskiego–Phillipsa–Schmidta–Shina (KPSS). Wybrane modele poddano ocenie i walidacji z użyciem skorygowanego kryterium Akaike (AICC) i Bayesowskiego kryterium Schwartza (SBC). Diagnostyczna analiza modeli obejmowała niezależność, normalność, homoscedastyczność, wykresy P–P i Q–Q dla reszt. Najlepsze modele ARIMA dla opadu w Kpetoe i Tordzinu miały postać (3, 0, 3) i (3, 1, 3), gdy wartości AICC równe odpowiednio 190,07 i 178,23. Modele dla maksymalnej temperatury w Kpetoe i Tordzinu miały postać (3, 1, 3) i (3, 1, 3), a ich odpowiednie wartości AICC wynosiły 23,81 i 36,10. Wydajność modelu sprawdzano, wykorzystując sumę błędu kwadratowego (SSE), średni błąd kwadratowy (MSE), średni bezwzględny błąd procentowy (MAPE) i pierwiastek ze średniego błędu kwadratowego (RMSE). Wyniki różnych analiz wykazały, że modele są odpowiednie i mogą stanowić pomoc w przyszłej gospodarce wodnej.

Słowa kluczowe

EN

ARIMA; forecasting; rainfall model; temperature; Tordzie watershed

PL

ARIMA; modele opadu; prognozowanie; temperatura; zlewnia Tordzie

• Wydawca: Wydawnictwo ITP
• Czasopismo: Journal of Water and Land Development
• Rocznik: 2018
• Tom: no. 37
• Strony: 127--140
• Opis fizyczny: Bibliogr. 37 poz., rys., tab.

Twórcy

autor

Nyatuame M.

• Ho Technical University, Department of Agricultural Engineering, Ho, Volta Region, Box 217, Ghana

autor

Agodzo S. K.

• Kwame Nkrumah University of Science and Technology, Department of Agricultural and Biosystems Engineering, Kumasi, Ashanti Region, Ghana

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