Application of Vector Autoregression (Var) on Modelling and Forecasting Average Monthly Rainfall and Temperature

Authors

  • Department of Statistics, Faculty of Natural and Applied Sciences Nasarawa State University Keffi
  • Department of Statistics, Faculty of Natural and Applied Sciences Nasarawa State University Keffi
  • Department of Statistics, Faculty of Natural and Applied Sciences Nasarawa State University Keffi

DOI:

https://doi.org/10.56595/lbr.v3i1.21

Keywords:

No Keywords.

Abstract

Rainfall and temperature have become the two most natural factor that determines the standard of agricultural production. Sensitivity in climate variability over a long period of time need to be recorded, looking at difference in temporal and spatial scale. The need to understand the nature of the differences in the climate system and their impact on the society and environment is of great interest. This paper tends to apply Vector auto-regressive on modelling and forecasting average monthly rainfall and temperature in Nigeria. A monthly data sourced from World Bank climate portal, from January 1986 to December 2021. Augmented Dickey-Fuller (ADF) a test used to test for stationarity of the trends. Also, the criterion, Alkaike information criterion (AIC) is considered in the model lag selection and the VAR model favored VAR at lag 8. Ordinary least square has been used to estimate the VAR model parameter. Granger causality shows a bi-lateral causation from the temperature during rainfall and from rainfall during different temperature. “Impulse Response Functions” (IRF) and “Forecast Error Variance Decomposition” (FEVD) were further carried out as a structural analysis between the two variables, it revealed that, rainfall and temperature are interrelated.

Downloads

Download data is not yet available.

References

Abaje I., B. and Oladipo E., O. (2019): observation of recent change in the temperature and Rainfall Conditions in Kaduna State, Nigeria. Ghana Journal of Geography Volume 11(2), 2019 pages 127-157.

Abaje I.B., Pattience J.A., Mansur B.M 2018) Spatio-temporal analysis of Rainfall distribution in Kaduna state Nigeria. Ghana Journal of Geography 10(1), 1-12, 2018

Abasi R.A., Ikubuwaje C.O. (2012) Analytical study of rainfall and temperature trend in catchment states and stations of the Benin-Owena River basin, Nigeria. Journal of Environment and Earth Sciences 2(3), 9-12, 2012

Abbate, P.E., Dardanelli, J. L., Cantarero, G., Maturano, M., Melchiori, R.J.M and Suero, E. E (2004) “Climate and water availability effects on water-use efficiency in wheat,” Crop Science, 44(2):474-483

Adenomon M. O., and Oyejola A. B. (2014): Forecasting Meteorological Time series data with a reduced form Vector Autoregressive (VAR) Model and three univariate time series techniques. Social and Basic Sciences Resaerch Review, 2(3): 139-152.

Adenomon, M. O. and Okperie, P. E. (2013): Improving Meteorological Time Series data forecast with reduced form Vector Autoregressive (VAR) Model. A paper presented at 9th Annual National Conference at the school of Applied Arts and Sciences. The Federal Polytechnic, Bida.

Adenomon, M. O., Ojehomon, V.E.T. and Oyejola, B. A. (2013): Modelling the Dynamic Relationship between Rainfall and Temperature Time Series data in Niger State, Nigeria: Mthematical Theory and Modelling. 3(4):53-70

Akinsanola A., A. and Ogunjobi K., O. (2014): Investigation of Rainfall and Temperature Variabilities in Nigeria. Double Blind Peer Reviewed Internatinal Research Journal. Volume 14, No.3, Version 1.0, Year 2014.

Akinsola, A.A. and Ogunjobi, K.O. (2014). Analysis of Rainfall and Temperature variability over Nigeria. Global Journal of Human Social Science: B Geography, Geo-Sciences, Environmental Disaster Management, 14(3). In Press.

Ansari, M. I. and Ahmed, S. M (2007): Does money matter? Evidence from vector Error-correction for mexico. The Journal of developing Areas. 14(1):185-202.

Arpita P. and Netrananda S. (2019): Trend analysis of seasonal rainfall and temperature pattern in Kalahandi. Atmospheric Science Letter/ volume 20.

A. S.M. Mohiul, Md. Habibur R., Farjana S., Muhammad S.H. (2022). Analysis of Spatially Distributed Monthly Rainfall and Temperature over Bangladesh. International Journal of Enviroment and Climate Change Volume 12(issue 12):693-708

Beenstock, M. and Felsenstein, D. (2007). Spatial Vector Autoregression: Economic Analysis 2(2):167-196

Besler, D. A. (1986): Forecasting Multiple Time Series with prior information. American Journal of Agrcultural economics. 72(3):788-792.

Chowdhury, A. R., (1986): Vector Autoregression as alternative Macro-modelling Tchniques: The Banglash Development Studies. 14(2):21-32

Chukwudum C. Q., and Nadarajah S. (2022): examining Bivariate value of Rainfall and Temperature Analysis in Nigeria. Enviromental Modelling and Assessment 27, 343-362 (2022).

Dau A.U., Muhammad S.K., Ujih O.U., Ismail H. (2021). Rainfall and Temperature Dynamics As Evidence of Climate Variability In Northern Nigeria.

David E., Precious E., Bridget E. D., & Susan I.A. (2023). Rainfall and Temperature Variations in a Dry Tropical Environment of Nigeria. Journal of Atmospheric Science Reseach 6(2):50-57

Dominick, S. and Derrick, R. (2002). Schaum`s Outline of the Theory and problems of Statistics and Economics (2nd ed). New York: McGraw-Hill Company

Egbinola C.N., Amanambu C.A (2013) Climate variation assessment based on rainfall and temperature in Ibadan, South-Western, Nigeria. Journal of Environment and Earth Sciences 3(11), 32-45, 2013

Ekwe, M C., Joshua, J. K., Igwe, J. E, and Osinowo, A. A, (2014): Mathematical Study of Monthly and Annual Rainfall Trends in Nasarawa State, Nigeria. IOSR Journal of Mathematics (IOSR-JM); 10(1): pp 56-62

Estenson, P.S(1992): The Keynesian Theory of the price level: An econometric Evaluation using Vector Autoregression Model. Journal of post Keynesian Economics 14(4):547-560

Granger, C. W.J.(1969). “Investigating Causal Relations by Econometric Models and Cross-Spectral Methods”. Econometrica 37(3):424-438

Gujarati, D.N. (2003). Basic Econometrics (4th ed). New Delhi: the McGraw-Hill Co.

Haden, K. L., and VanTassel, L. W. (1988): Application of Autoregression to Dynamic relationship within the U.S Diary Sector. North Central Journal of Agricultural Economics. 10(2):209-216

Hulme, M., Osborn, T.J. and Johns, T.C. (1998) Precipitation sensitivity to global warming: Comparison of observations with HADCM2 simulations. Geophysical Research Letters, 25, 3379-3382.

Ibrahim, R. B., Ogundahunsi, D. S., Muili, A. B., Raheem, W. M., Olayode, O., & Adedotun, S. B. (2022) Time Series Forecasting of Climate Variables in Three Selected Major Cities in Nigeria.Available at SSRN 4429271.

Ikebude, C., Nwaogazie, I. L., & Sam, M. G. (2022). Climate change and trend analysis of 24-hourly annual maximum series using Mann-Kendall and Sen slope methods for rainfall IDF modeling. International Journal of Environment and Climate Change, 44-60.

IPCC. (2007) Intergovernmental Panel on Climate Change.http//www.ipcc.inf/topic.climate

Jiahao T., Seokhyeon K., Ashish S. (2023). How does increasing temperature affect the sub-annual distribution of monthly rainfall. Enviromental Research Climate 2(1)

Kamara, S.I. (1986). The origin and types of rainfall in West Africa. Weather, 41: 48-56.

Karimuzzaman, M., & Moyazzem Hossain, M. (2020). Forecasting performance of nonlinear time-series models: an application to weather variable. Modeling Earth Systems and Environment, 6(4), 2451-2463.

Kayano, M.T. and Sansígolo, C. (2008) Interannual to decadal variations of precipitation and daily maximum and daily minimum temperatures in southern Brazil. Theoretical and Applied Climatology, 97, 81-90. doi:10.1007/s00704-008-0050-4

Kaylen, M. S. (1988): Vector Autoregression Forecasting Model.Recent Development Applied to U.S Hog Market. American Journal of Agricultural Economics 70(3):710-712

Kazeem, R. A., Amakor, J. U., Ikumapayi, O. M., Afolalu, S. A., & Oke, W. A. (2022). Modelling the Effect of Temperature on Power Generation at a Nigerian Agricultural Institute.Mathematical Modelling of Engineering Problems, 9(3).

Lutkepohl, H. and Breitung, J. (1997). Impulse Response Analysis of Vector Autoregressive process: System Dynamic in Economic and financial model.

Lutkepohl, H. (2005). New introduction to Multiple Time Series Analysis: New York: Springer Berlin Heidelberg.

Mequannt M., Fikadu Y., and Jurgen S. (2021): Time series trend analysis and farmer perceptions of rain fall and temperature in northwestern Ethiopia. Environment, Development and Sustainability. 23, 12904-12924 (2021)

Mina M. H., and Sayedul A., (2012): Identifying the dependency pattern of daily rainfall of Dhaka station in Bangladesh using Markov chain and logistic regression model Agricultural Sciences, 3(3): 385-391 http://dx.doi.org/10.4236/

Mojolaoluwa D., Emmanuel O. E., and Stephen E. (2017): Analysis of Rainfall and Temperature over Climatic Zones in Nigeria. Journal of Geography, Enviroment and Science International 11(2); 1-14, 2017.

Nwosu Chinedu, A., Kenneth, E., & Oyelade Olayinka, O. (2023). Climate Change and International Trade in Nigeria: Structural Vector Autoregression Approach.

Oguntude P.G., Temitope A.O., Akinwumiju A.S., Fasinmirin J.T. (2019) Analysis of recente change in Rainfall and Drought Indices in Nigeria. Hydrological Sciences Journal 64(14) 1755-1768, 2019

Oyeleke O.,O. (2021). Analysis of decadal Rainfall and Temperature Trend in Warri, Nigeria. DOI:10.24018/ejgeo.2021.2.2.120

Park, T. (1990): Forecasting Evaluation for Multivariate Time Series Models. The U.S Cattle Market. Western Journal of Agricultural Economics. 15(1):133-143

Salim, R., Hassan, K., & Rahman, S. (2020). Impact of R&D expenditures, rainfall and temperature variations in agricultural productivity: empirical evidence from Bangladesh. Applied Economics, 52(27), 2977-2990.

Sims, C. A (1980). “Macro Economics and Reality” Econometrica. 48:1-48

Soumik R., Soumitra S. D., Pradeep M., Abdullah M.G.A. (2021) Time Series SARIMA Modelling and Forecasting of Monthly Rainfall and Temperature in the South Asia Countries.

Sivajothi R., Kanagasabai K. (2019). Forecasting of Eainfall, Average Temperature, Vapor Pressure and Cloud Cover Using Vector Autoregression Model. Journal of Computational and Theoretical Nanoscience 16(5):1862-1869

Verbeek (2017) Exact smoothing for stationary and Non-statationary time series. International Journal for forecasting 16(1), 59-69

Verere S.B., Emmanuel E., Beauty E. (2023). Spatiotemporal Trend and Variability Analysis of Rainfall and Temperature over Benin Metropolitan Region, Edo State, Nigeria. Geography Environmenta Sustainability 16(1):6-15

WHO. (2019) World Health Organization [Online].http://www.who.inf/topics/material.climate

Yusuf N., Daniel O., Ibrahim M., Samson A., Rabia S. (2017) A study of the surface air temperature variations in Nigeria. The Open Atmospheric Science Journal 11(1), 2017

Zhao, J., Mu, X., & Gao, P. (2019). Dynamic response of runoff to soil and water conservation measures and precipitation based on VAR model. Hydrology Research,50(3), 837-848.

Downloads

Published

2024-01-24

How to Cite

Musa, Y., Ahmad, I., & Maijamaa, B. (2024). Application of Vector Autoregression (Var) on Modelling and Forecasting Average Monthly Rainfall and Temperature. Lloyd Business Review, 3(1), 1–23. https://doi.org/10.56595/lbr.v3i1.21

Issue

Section

Articles

Most read articles by the same author(s)