Modeling the Monthly Inflow to Jamishan Dam Reservoir Using Autoregressive Integrated Moving Average and Adaptive Neuro- Fuzzy Inference System Models

Document Type : Research Paper

Authors

Abstract

Hydrological time series modeling is one of the most important issues in water resource
management. In this paper monthly inflow to Jamishan dam reservoir in Kermanshah province
(west of Iran) is modeled by AutoRegressive Integrated Moving Average (ARIMA) and Adaptive
Neuro-Fuzzy Inference System (ANFIS) models. These models are based on stochastic and
Artificial Intelligence (AI) methods, respectively. For modeling up to five parameters in the
ARIMA model were used and produced 1296 models which were fitted on the time series. In
ANFIS model 14 input combinations were defined using the discharges with different lags. Two
states of Grid Partitioning (GP) and Subtractive Clustering (SC) were used in Fuzzy Interface
System (FIS) generation. Also, in training network Back Propagation (BP) and hybrid algorithms
were used. Monthly modeled discharges were compared in the ARIMA and ANFIS models by
some indexes such as Mean Absolute Relative Error (MARE) index which was obtained 0.398 and
0.8 for each model, respectively. The result showed that the ARIMA model was much more
accurate than ANFIS model in modeling low discharges and also in short and long times modeling.

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