Modeling the Dynamics of Forest Fires: A Vector Autoregressive Approach Across Three Fire Classifications

Nur'ainul Miftahul Huda, Nurfitri Imro'ah

Abstract


The problem of forest fires is one that, with each passing year, gets more difficult to mitigate. A significant number of people will be affected by this case, particularly in terms of their health. The need for targeted initiatives must be balanced. Look at the forecasts for the number of forest fires expected to occur in the following period. Cases of forest fires reported to the Ministry of Environment and Forestry are categorized into three distinct categories: high, medium, and low. In addition to future estimates, it is reasonable to anticipate that classifications will also affect one another. The vector autoregressive (VAR) model is a statistical tool that may produce future projections based on three categories of forest fires in a specific period. This information can be utilized to make predictions. The aim of the study was to model 3 classifications of forest fire cases using the Vector Autoregressive (VAR) model. The data utilized is a summary of the number of forest fire cases in Pulang Pisau Regency, Central Kalimantan, categorized as low, medium, and high, from January 2013 to March 2024. During this study, the VAR modelling process was broken down into three primary stages: order identification (the findings that were achieved were VAR(4)), parameter estimation, and diagnostic testing (VAR(4) was declared to fulfil the requirements for the diagnostic test). It is possible to generate a predicted value for the subsequent three times based on these stages, which may be considered when calculating the proper amount of effort to put forward. The accuracy of forest fire case modeling utilizing the VAR(4) model is 70.23%. Moreover, the predictive outcomes for each categorization indicate a rise in medium and low-level forest fires compared to previous data, although the contrary is observed for high-level forest fire incidents.

Keywords


Classification; Forecasting; Dependency; Time series.

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References


Alisjahbana, A. S., & Busch, J. M. (2017). Forestry, Forest Fires, and Climate Change in Indonesia. Bulletin of Indonesian Economic Studies, 53(2), 111–136. https://doi.org/10.1080/00074918.2017.1365404

Apergis, E., & Apergis, N. (2021). The impact of COVID-19 on economic growth: evidence from a Bayesian Panel Vector Autoregressive (BPVAR) model. Applied Economics, 53(58), 6739–6751. https://doi.org/10.1080/00036846.2021.1946479

Box, G. E. P., & Jankins, G. M. (1976). Time Series Analysis Forecasting and Control. Wiley.

Carmenta, R., Zabala, A., Daeli, W., & Phelps, J. (2017a). Perceptions across scales of governance and the Indonesian peatland fires. Global Environmental Change, 46, 50–59. https://doi.org/10.1016/j.gloenvcha.2017.08.001

Carmenta, R., Zabala, A., Daeli, W., & Phelps, J. (2017b). Perceptions across scales of governance and the Indonesian peatland fires. Global Environmental Change, 46, 50–59. https://doi.org/10.1016/j.gloenvcha.2017.08.001

Carta, F., Zidda, C., Putzu, M., Loru, D., Anedda, M., & Giusto, D. (2023). Advancements in Forest Fire Prevention: A Comprehensive Survey. Sensors, 23(14), 6635. https://doi.org/10.3390/s23146635

Clarke, H., Nolan, R. H., De Dios, V. R., Bradstock, R., Griebel, A., Khanal, S., & Boer, M. M. (2022a). Forest fire threatens global carbon sinks and population centres under rising atmospheric water demand. Nature Communications, 13(1), 7161. https://doi.org/10.1038/s41467-022-34966-3

Clarke, H., Nolan, R. H., De Dios, V. R., Bradstock, R., Griebel, A., Khanal, S., & Boer, M. M. (2022b). Forest fire threatens global carbon sinks and population centres under rising atmospheric water demand. Nature Communications, 13(1), 7161. https://doi.org/10.1038/s41467-022-34966-3

Cryer, D. J., & Chan, K.-S. (2008). Time Series Analysis: With Application in R. Springer Science and Bussiness Media.

Edwards, S. A., & Heiduk, F. (2015). Hazy Days: Forest Fires and the Politics of Environmental Security in Indonesia. Journal of Current Southeast Asian Affairs, 34(3), 65–94. https://doi.org/10.1177/186810341503400303

Fall, S., N’Guessan, A., Iraci, F., & Koutouan, A. (2020). Forecasting the French Personal Services Sector Wage Bill: A VARIMA Approach (pp. 119–134). https://doi.org/10.1007/978-3-030-13697-0_9

Fruet Dias, G., & Kapetanios, G. (2017). Supplement To “Estimation and Forecasting in Vector Autoregressive Moving Average Models for Rich Datasets.” SSRN Electronic Journal. https://doi.org/10.2139/ssrn.2830838

Ghorbanzadeh, O., Blaschke, T., Gholamnia, K., & Aryal, J. (2019a). Forest Fire Susceptibility and Risk Mapping Using Social/Infrastructural Vulnerability and Environmental Variables. Fire, 2(3), 50. https://doi.org/10.3390/fire2030050

Ghorbanzadeh, O., Blaschke, T., Gholamnia, K., & Aryal, J. (2019b). Forest Fire Susceptibility and Risk Mapping Using Social/Infrastructural Vulnerability and Environmental Variables. Fire, 2(3), 50. https://doi.org/10.3390/fire2030050

Kaur, J., Parmar, K. S., & Singh, S. (2023a). Autoregressive models in environmental forecasting time series: a theoretical and application review. Environmental Science and Pollution Research, 30(8), 19617–19641. https://doi.org/10.1007/s11356-023-25148-9

Kaur, J., Parmar, K. S., & Singh, S. (2023b). Autoregressive models in environmental forecasting time series: a theoretical and application review. Environmental Science and Pollution Research, 30(8), 19617–19641. https://doi.org/10.1007/s11356-023-25148-9

Khan, F., Saeed, A., & Ali, S. (2020). Modelling and forecasting of new cases, deaths and recover cases of COVID-19 by using Vector Autoregressive model in Pakistan. Chaos, Solitons & Fractals, 140, 110189. https://doi.org/10.1016/j.chaos.2020.110189

Meimela, A., Lestari, S. S. S., Mahdy, I. F., Toharudin, T., & Ruchjana, B. N. (2021). Modeling of Covid-19 in Indonesia using Vector Autoregressive Integrated Moving Average. Journal of Physics: Conference Series, 1722(1), 012079. https://doi.org/10.1088/1742-6596/1722/1/012079

Muhammad, K., Khan, S., Elhoseny, M., Hassan Ahmed, S., & Wook Baik, S. (2019). Efficient Fire Detection for Uncertain Surveillance Environment. IEEE Transactions on Industrial Informatics, 15(5), 3113–3122. https://doi.org/10.1109/TII.2019.2897594

Ramyar, S., & Kianfar, F. (2019). Forecasting Crude Oil Prices: A Comparison Between Artificial Neural Networks and Vector Autoregressive Models. Computational Economics, 53(2), 743–761. https://doi.org/10.1007/s10614-017-9764-7

Reinsel, G. C. (1993). Vector ARMA Time Series Models and Forecasting (pp. 21–51). https://doi.org/10.1007/978-1-4684-0198-1_2

Rossi, F., & Becker, G. (2019). Creating forest management units with Hot Spot Analysis (Getis-Ord Gi*) over a forest affected by mixed-severity fires. Australian Forestry, 82(4), 166–175. https://doi.org/10.1080/00049158.2019.1678714

Rusyana, A., Tatsara, N., Balqis, R., & Rahmi, S. (2020). Application of Clustering and VARIMA for Rainfall Prediction. IOP Conference Series: Materials Science and Engineering, 796(1), 012063. https://doi.org/10.1088/1757-899X/796/1/012063

Schaffer, A. L., Dobbins, T. A., & Pearson, S.-A. (2021). Interrupted time series analysis using autoregressive integrated moving average (ARIMA) models: a guide for evaluating large-scale health interventions. BMC Medical Research Methodology, 21(1), 58. https://doi.org/10.1186/s12874-021-01235-8

Singh, S., Parmar, K. S., Kumar, J., & Makkhan, S. J. S. (2020). Development of new hybrid model of discrete wavelet decomposition and autoregressive integrated moving average (ARIMA) models in application to one month forecast the casualties cases of COVID-19. Chaos, Solitons & Fractals, 135, 109866. https://doi.org/10.1016/j.chaos.2020.109866

Suhartono, S., Prastyo, D. D., Kuswanto, H., & Lee, M. H. (2018). Comparison between VAR, GSTAR, FFNN-VAR and FFNN-GSTAR Models for Forecasting Oil Production. MATEMATIKA, 34(1), 103–111. https://doi.org/10.11113/matematika.v34.n1.1040

Tsay, R. S. (2014). Multivariate Time Series Analysis with R and Financial Applications. Wiley.

Wei, W. W. S. (2006). Time Series Analysis Univariate and Multivariate Methods (2nd ed.). Addison Wesley.

Xu, H., Ding, F., & Yang, E. (2021). Three‐stage multi‐innovation parameter estimation for an exponential autoregressive time‐series model with moving average noise by using the data filtering technique. International Journal of Robust and Nonlinear Control, 31(1), 166–184. https://doi.org/10.1002/rnc.5267




DOI: https://doi.org/10.31764/jtam.v8i4.24792

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