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Fig 1.

Study location map of Kumaon region, Uttarakhand.

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Fig 1 Expand

Table 1.

Details of study stations and rainfall data availability.

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Table 1 Expand

Fig 2.

(a) MFs of two input variables in TSK model, and (b) architecture of proposed CANFIS model.

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Fig 2 Expand

Fig 3.

Three-layer MLPNN configuration.

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Fig 3 Expand

Fig 4.

The statitstical calculation of the partial autocorrelation function PACF for (a) SPI-1, (b) SPI-3, (c) SPI-6, (d) SPI-9, (e) SPI-12, and (f) SPI-24 at Alomra station.

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Fig 4 Expand

Fig 5.

The statitstical calculation of the partial autocorrelation function (a) SPI-1, (b) SPI-3, (c) SPI-6, (d) SPI-9, (e) SPI-12, and (f) SPI-24 at Bageshwar station.

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Fig 5 Expand

Fig 6.

The statitstical calculation of the partial autocorrelation function PACF for (a) SPI-1, (b) SPI-3, (c) SPI-6, (d) SPI-9, (e) SPI-12, and (f) SPI-24 at Champawat station.

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Fig 6 Expand

Fig 7.

The statitstical calculation of the partial autocorrelation function PACF for (a) SPI-1, (b) SPI-3, (c) SPI-6, (d) SPI-9, (e) SPI-12, and (f) SPI-24 at Nainital station.

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Fig 7 Expand

Fig 8.

The statitstical calculation of the partial autocorrelation function PACF for (a) SPI-1, (b) SPI-3, (c) SPI-6, (d) SPI-9, (e) SPI-12, and (f) SPI-24 at Pithoragarh station.

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Fig 8 Expand

Fig 9.

The statitstical calculation of the partial autocorrelation function PACF for (a) SPI-1, (b) SPI-3, (c) SPI-6, (d) SPI-9, (e) SPI-12, and (f) SPI-24 at Pantnagar station.

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Fig 9 Expand

Table 2.

Output-input relationship of SPI for prediction using CANFIS, MLPNN and MLR models at study stations.

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Table 2 Expand

Table 3.

Percentage of training and testing datasets for CANFIS, MLPNN and MLR models at study stations.

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Table 3 Expand

Table 4.

RMSE, NSE, COC and WI values for multi-scalar SPI by CANFIS model during testing period at study stations.

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Table 4 Expand

Table 5.

RMSE, NSE, COC and WI values for multi-scalar SPI by MLPNN model during testing period at study stations.

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Table 5 Expand

Table 6.

RMSE, NSE, COC and WI values for multi-scalar SPI by MLR model during testing period at study stations.

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Table 6 Expand

Fig 10.

Scatter plots of predicted and calculated (a) SPI-1, (b) SPI-3, (c) SPI-6, (d) SPI-9, (e) SPI-12, and (f) SPI-24 values by CANFIS, MLPNN and MLR models in testing period at Almora station.

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Fig 10 Expand

Fig 11.

Scatter plots of predicted and calculated (a) SPI-1, (b) SPI-3, (c) SPI-6, (d) SPI-9, (e) SPI-12, and (f) SPI-24 values by CANFIS, MLPNN and MLR models in testing period at Bageshwar station.

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Fig 11 Expand

Fig 12.

Scatter plots of predicted and calculated (a) SPI-1, (b) SPI-3, (c) SPI-6, (d) SPI-9, (e) SPI-12, and (f) SPI-24 values by CANFIS, MLPNN and MLR models in testing period at Champawat station.

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Fig 12 Expand

Fig 13.

Scatter plots of predicted and calculated (a) SPI-1, (b) SPI-3, (c) SPI-6, (d) SPI-9, (e) SPI-12, and (f) SPI-24 values by CANFIS, MLPNN and MLR models in testing period at Nainital station.

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Fig 13 Expand

Fig 14.

Scatter plots of predicted and calculated (a) SPI-1, (b) SPI-3, (c) SPI-6, (d) SPI-9, (e) SPI-12, and (f) SPI-24 values by CANFIS, MLPNN and MLR models in testing period at Pithoragarh station.

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Fig 14 Expand

Fig 15.

Scatter plots of predicted and calculated (a) SPI-1, (b) SPI-3, (c) SPI-6, (d) SPI-9, (e) SPI-12, and (f) SPI-24 values by CANFIS, MLPNN and MLR models in testing period at Pantnagar station.

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Fig 15 Expand

Fig 16.

Taylor diagram of predicted and calculated (a) SPI-1, (b) SPI-3, (c) SPI-6, (d) SPI-9, (e) SPI-12, and (f) SPI-24 values by CANFIS, MLPNN and MLR models in testing period at Almora station.

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Fig 16 Expand

Fig 17.

Taylor diagram of predicted and calculated (a) SPI-1, (b) SPI-3, (c) SPI-6, (d) SPI-9, (e) SPI-12, and (f) SPI-24 values by CANFIS, MLPNN and MLR models in testing period at Bageshwar station.

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Fig 17 Expand

Fig 18.

Taylor diagram of predicted and calculated (a) SPI-1, (b) SPI-3, (c) SPI-6, (d) SPI-9, (e) SPI-12, and (f) SPI-24 values by CANFIS, MLPNN and MLR models in testing period at Champawat station.

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Fig 18 Expand

Fig 19.

Taylor diagram of predicted and calculated (a) SPI-1, (b) SPI-3, (c) SPI-6, (d) SPI-9, (e) SPI-12, and (f) SPI-24 values by CANFIS, MLPNN and MLR models in testing period at Nainital station.

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Fig 19 Expand

Fig 20.

Taylor diagram of predicted and calculated (a) SPI-1, (b) SPI-3, (c) SPI-6, (d) SPI-9, (e) SPI-12, and (f) SPI-24 values by CANFIS, MLPNN and MLR models in testing period at Pithoragarh station.

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Fig 20 Expand

Fig 21.

Taylor diagram of predicted and calculated (a) SPI-1, (b) SPI-3, (c) SPI-6, (d) SPI-9, (e) SPI-12, and (f) SPI-24 values by CANFIS, MLPNN and MLR models in testing period at Pantnagar station.

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Fig 21 Expand

Table 7.

Comparison of CANFIS, MLPNN, and MLR results at study stations.

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Table 7 Expand