IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i17p3783-d1232071.html
   My bibliography  Save this article

The Hybrid Modeling of Spatial Autoregressive Exogenous Using Casetti’s Model Approach for the Prediction of Rainfall

Author

Listed:
  • Annisa Nur Falah

    (Doctoral Program of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Sumedang 45363, Indonesia)

  • Budi Nurani Ruchjana

    (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Sumedang 45363, Indonesia)

  • Atje Setiawan Abdullah

    (Department of Computer Science, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Sumedang 45363, Indonesia)

  • Juli Rejito

    (Department of Computer Science, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Sumedang 45363, Indonesia)

Abstract

Spatial Autoregressive (SAR) models are used to model the relationship between variables within a specific region or location, considering the influence of neighboring variables, and have received considerable attention in recent years. However, when the impact of exogenous variables becomes notably pronounced, an alternative approach is warranted. Spatial Expansion, coupled with the Casetti model approach, serves as an extension of the SAR model, accommodating the influence of these exogenous variables. This modeling technique finds application in the realm of rainfall prediction, where exogenous factors, such as air temperature, humidity, solar irradiation, wind speed, and surface pressure, play pivotal roles. Consequently, this research aimed to combine the SAR and Spatial Expansion models through the Casetti model approach, leading to the creation of the Spatial Autoregressive Exogenous (SAR-X) model. The SAR-X was employed to forecast the rainfall patterns in the West Java region, utilizing data obtained from the National Aeronautics and Space Administration Prediction of Worldwide Energy Resources (NASA POWER) dataset. The practical execution of this research capitalized on the computational capabilities of the RStudio software version 2022.12.0. Within the framework of this investigation, a comprehensive and integrated RStudio script, seamlessly incorporated into the RShiny web application, was developed so that it is easy to use.

Suggested Citation

  • Annisa Nur Falah & Budi Nurani Ruchjana & Atje Setiawan Abdullah & Juli Rejito, 2023. "The Hybrid Modeling of Spatial Autoregressive Exogenous Using Casetti’s Model Approach for the Prediction of Rainfall," Mathematics, MDPI, vol. 11(17), pages 1-21, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:17:p:3783-:d:1232071
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/17/3783/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/17/3783/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ashoke Basistha & D. Arya & N. Goel, 2008. "Spatial Distribution of Rainfall in Indian Himalayas – A Case Study of Uttarakhand Region," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(10), pages 1325-1346, October.
    2. Ibrahim, Nur Atirah & Wan Alwi, Sharifah Rafidah & Manan, Zainuddin Abdul & Mustaffa, Azizul Azri & Kidam, Kamarizan, 2022. "Risk matrix approach of extreme temperature and precipitation for renewable energy systems in Malaysia," Energy, Elsevier, vol. 254(PC).
    3. Nazzareno Diodato & Gianni Tartari & Gianni Bellocchi, 2010. "Geospatial Rainfall Modelling at Eastern Nepalese Highland from Ground Environmental Data," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(11), pages 2703-2720, September.
    4. Robinson, Peter M. & Rossi, Francesca, 2015. "Refinements in maximum likelihood inference on spatial autocorrelation in panel data," Journal of Econometrics, Elsevier, vol. 189(2), pages 447-456.
    5. Baris Yilmaz & Nilgun Harmancioglu, 2010. "An Indicator Based Assessment for Water Resources Management in Gediz River Basin, Turkey," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(15), pages 4359-4379, December.
    6. Hüseyin Yavuz & Saffet Erdoğan, 2012. "Spatial Analysis of Monthly and Annual Precipitation Trends in Turkey," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(3), pages 609-621, February.
    7. Bezirgiannidis, Athanasios & Chatzopoulos, Paraschos & Tsakali, Aikaterini & Ntougias, Spyridon & Melidis, Paraschos, 2020. "Renewable energy recovery from sewage sludge derived from chemically enhanced precipitation," Renewable Energy, Elsevier, vol. 162(C), pages 1811-1818.
    8. Bucar, Raif C.B. & Hayeri, Yeganeh M., 2020. "Quantitative assessment of the impacts of disruptive precipitation on surface transportation," Reliability Engineering and System Safety, Elsevier, vol. 203(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mohammad Kamali & Rouzbeh Nazari & Alireza Faridhosseini & Hossein Ansari & Saeid Eslamian, 2015. "The Determination of Reference Evapotranspiration for Spatial Distribution Mapping Using Geostatistics," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(11), pages 3929-3940, September.
    2. Madhuri Kumari & Chander Kumar Singh & Ashoke Basistha, 2017. "Clustering Data and Incorporating Topographical Variables for Improving Spatial Interpolation of Rainfall in Mountainous Region," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(1), pages 425-442, January.
    3. Kurmankhojayev, Daniyar & Li, Guoyuan & Chen, Anthony, 2024. "Link criticality index: Refinement, framework extension, and a case study," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
    4. Cem P. Cetinkaya & Mert Can Gunacti, 2018. "Multi-Criteria Analysis of Water Allocation Scenarios in a Water Scarce Basin," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(8), pages 2867-2884, June.
    5. Jet-chau Wen & Yen-jen Lee & Shin-jen Cheng & Ju-huang Lee, 2014. "Changes of rural to urban areas in hydrograph characteristics on watershed divisions," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 74(2), pages 887-909, November.
    6. Ling, Shiqing & McAleer, Michael & Tong, Howell, 2015. "Frontiers in Time Series and Financial Econometrics: An overview," Journal of Econometrics, Elsevier, vol. 189(2), pages 245-250.
    7. Kang, Hyuna & Jung, Seunghoon & Kim, Hakpyeong & Hong, Juwon & Jeoung, Jaewon & Hong, Taehoon, 2023. "Multi-objective sizing and real-time scheduling of battery energy storage in energy-sharing community based on reinforcement learning," Renewable and Sustainable Energy Reviews, Elsevier, vol. 185(C).
    8. Zhang, Lei & Traore, Seydou & Cui, Yuanlai & Luo, Yufeng & Zhu, Ge & Liu, Bo & Fipps, Guy & Karthikeyan, R. & Singh, Vijay, 2019. "Assessment of spatiotemporal variability of reference evapotranspiration and controlling climate factors over decades in China using geospatial techniques," Agricultural Water Management, Elsevier, vol. 213(C), pages 499-511.
    9. Bera, Anil K. & Doğan, Osman & Taşpınar, Süleyman, 2018. "Simple tests for endogeneity of spatial weights matrices," Regional Science and Urban Economics, Elsevier, vol. 69(C), pages 130-142.
    10. Behnam Sadeghi & Mahmoud Ahmadpour Borazjani & Mostafa Mardani & Saman Ziaee & Hamid Mohammadi, 2023. "Systemic Management of Water Resources with Environmental and Climate Change Considerations," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(6), pages 2543-2574, May.
    11. Yu, Yun-Chi & Gardoni, Paolo, 2022. "Predicting road blockage due to building damage following earthquakes," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
    12. Nazli Aydin & Larry Mays & Theo Schmitt, 2014. "Sustainability Assessment of Urban Water Distribution Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(12), pages 4373-4384, September.
    13. H. Assaf & M. Saadeh, 2009. "Geostatistical Assessment of Groundwater Nitrate Contamination with Reflection on DRASTIC Vulnerability Assessment: The Case of the Upper Litani Basin, Lebanon," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(4), pages 775-796, March.
    14. Alina Barbulescu, 2016. "A New Method for Estimation the Regional Precipitation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(1), pages 33-42, January.
    15. Martellosio, Federico & Hillier, Grant, 2020. "Adjusted QMLE for the spatial autoregressive parameter," Journal of Econometrics, Elsevier, vol. 219(2), pages 488-506.
    16. Gonçalves, Ana & Marques, Margarida Correia & Loureiro, Sílvia & Nieto, Raquel & Liberato, Margarida L.R., 2023. "Disruption risk analysis of the overhead power lines in Portugal," Energy, Elsevier, vol. 263(PA).
    17. Bera Anil K. & Doğan Osman & Taşpınar Süleyman, 2019. "Testing Spatial Dependence in Spatial Models with Endogenous Weights Matrices," Journal of Econometric Methods, De Gruyter, vol. 8(1), pages 1-33, January.
    18. Pravat Jena & Sarita Azad, 2022. "Identification of wet-prone regions over Northwest Himalaya using high-resolution satellite seasonal estimates," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 112(2), pages 1727-1748, June.
    19. Bucar, Raif C.B. & Hayeri, Yeganeh M., 2022. "Quantitative flood risk evaluation to improve drivers’ route choice decisions during disruptive precipitation," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
    20. Chaonan Jiang & Davide La Vecchia & Elvezio Ronchetti & Olivier Scaillet, 2023. "Saddlepoint Approximations for Spatial Panel Data Models," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 118(542), pages 1164-1175, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:17:p:3783-:d:1232071. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.