Table 6 The standard deviation (std) results of all compared models after 10 trials on various performance metrics.

From: Integrated metaheuristic algorithms with extreme learning machine models for river streamflow prediction

Model

Train

Test

MAE

RMSE

R

MAPE

NSE

KGE

MAE

RMSE

R

MAPE

NSE

KGE

GA-ELM

0.0155

0.0224

0.0007

0.0057

0.0013

0.0009

0.0357

0.0718

0.0045

0.0063

0.0095

0.0082

CRO-ELM

0.0193

0.0346

0.0010

0.0050

0.0019

0.0014

0.0473

0.0900

0.0055

0.0073

0.0126

0.0082

AGTO-ELM

0.0200

0.0196

0.0006

0.0065

0.0011

0.0007

0.0615

0.0784

0.0043

0.0115

0.0108

0.0083

DMOA-ELM

0.0143

0.0107

0.0003

0.0079

0.0006

0.0006

0.0264

0.0572

0.0040

0.0057

0.0078

0.0074

HGS-ELM

0.0218

0.0265

0.0008

0.0104

0.0016

0.0012

0.0369

0.0657

0.0041

0.0109

0.0086

0.0123

WOA-ELM

0.0213

0.0447

0.0013

0.0055

0.0026

0.0018

0.0605

0.0944

0.0068

0.0120

0.0127

0.0106

NRO-ELM

0.0140

0.0256

0.0007

0.0044

0.0014

0.0011

0.0355

0.0733

0.0055

0.0066

0.0101

0.0078

HGSO-ELM

0.0218

0.0178

0.0006

0.0090

0.0012

0.0014

0.0680

0.0709

0.0042

0.0136

0.0098

0.0107

ASO-ELM

0.0229

0.0233

0.0008

0.0087

0.0016

0.0024

0.0816

0.1040

0.0057

0.0147

0.0150

0.0144

GSKA-ELM

0.0149

0.0193

0.0006

0.0054

0.0012

0.0009

0.0536

0.0719

0.0043

0.0182

0.0098

0.0142

LCO-ELM

0.0249

0.0352

0.0012

0.0064

0.0022

0.0015

0.0406

0.0719

0.0053

0.0109

0.0097

0.0078

SMA-ELM

0.0221

0.0063

0.0002

0.0114

0.0004

0.0003

0.0476

0.0673

0.0036

0.0135

0.0089

0.0135

SOA-ELM

0.0110

0.0229

0.0008

0.0048

0.0015

0.0009

0.0365

0.0658

0.0040

0.0099

0.0090

0.0120

TSA-ELM

0.0251

0.0419

0.0013

0.0083

0.0025

0.0018

0.0553

0.0712

0.0041

0.0098

0.0096

0.0088

AEO-ELM

0.0199

0.0259

0.0008

0.0064

0.0016

0.0013

0.0668

0.0840

0.0032

0.0156

0.0116

0.0108

HS-ELM

0.0175

0.0392

0.0011

0.0039

0.0022

0.0016

0.0548

0.1139

0.0068

0.0076

0.0170

0.0107

GBO-ELM

0.0069

0.0115

0.0003

0.0030

0.0006

0.0005

0.0434

0.0707

0.0043

0.0063

0.0095

0.0057

PSS-ELM

0.0216

0.0148

0.0005

0.0090

0.0009

0.0010

0.0627

0.0754

0.0045

0.0181

0.0101

0.0108

INFO-ELM

0.0199

0.0401

0.0011

0.0037

0.0022

0.0016

0.0285

0.0659

0.0048

0.0063

0.0092

0.0070

RUN-ELM

0.0096

0.0154

0.0004

0.0027

0.0008

0.0006

0.0433

0.1010

0.0038

0.0052

0.0140

0.0112

  1. Significant values are in bold.