Abstract

Forecasting of rainfall trends is essential for several fields, such as airline and ship management, flood control and agriculture. The rainfall data were recorded several time simultaneously at a number of locations and called the space-time data. Generalized Space Time Autoregressive (GSTAR) model is one of space-time models used to modeling and forecasting the rainfall. The aim of this research is to propose the nonlinear space-time model based on hybrid of GSTAR, Feed Forward Neural Network (FFNN) and Particle Swarm Optimization (PSO) and it called GSTAR-NN-PSO. In this model, input variable of the FFNN was obtained from the GSTAR model. Then use PSO to initialize the weight parameter in the FFNN model. This model is applied for forecasting monthly rainfall data in Jepara, Kudus, Pati and Grobogan, Central Java, Indonesia. The results show that the proposed model gives more accurate forecast than the linear space-time model, i.e. GSTAR and GSTAR-PSO. Moreover, further research about space-time models based on GSTAR and Neural Network is needed to improving the forecast accuracy especially the weight matrix in the GSTAR model.

Highlights

  • Rainfall is the amount of water that falls on a flat surface during a certain period measured in units of millimeters above the horizontal surface

  • Generalized Space Time Autoregressive (GSTAR) is one of the space-time models that can be used to model and forecast data that has previous time relationships and linkages to adjacent locations. This model is a development of the Space Time Autoregressive (STAR) model which was introduced by Pfeifer and Deutsch in 1980 [2]

  • Based on the AIC value it is obtained that the best GSTAR model is GSTAR(11)I(1)12

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Summary

Introduction

Rainfall is the amount of water that falls on a flat surface during a certain period measured in units of millimeters (mm) above the horizontal surface. In other explanations rainfall can be interpreted as the height of rainwater collected in a flat place, not evaporating, not seeping and not flowing. Generalized Space Time Autoregressive (GSTAR) is one of the space-time models that can be used to model and forecast data that has previous time relationships and linkages to adjacent locations. This model is a development of the Space Time Autoregressive (STAR) model which was introduced by Pfeifer and Deutsch in 1980 [2]. Several previous studies related to GSTAR were done by Irawati, et al [3], Gusnadi, et al [4], Diani et al [5], and Caraka et al [6, 7]

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