Table 2 Parameters corresponding to each method, used for different datasets.

Rössler

\(\eta _{x_1}=5\), \(\eta _{x_2}=5\), \(m=3\)

\(L=300\), \(w=30\), \(\delta =30\), \(B=8\)

\(L=25\), \(w=15\), \(\delta =20\)

\(\tau =20\)

Millenial CO\(_{2}\)-T

\(\eta _{CO_2}=11\), \(\eta _{T}=16\), \(m=3\)

\(L=60\), \(w=15\), \(\delta =20\), \(B=4\)

\(L=60\), \(w=30\), \(\delta =20\)

\(\tau =1-30\)

Kilo-year CO\(_{2}\)-T

\(\eta _{CO_2}=24\), \(\eta _{T}=8\), \(m=3\)

\(L=60\), \(w=15\), \(\delta =20\), \(B=4\)

\(L=30\), \(w=15\), \(\delta =20\)

\(\tau =1-30\)

Kilo-year CH₄-T

\(\eta _{CH_4}=10\), \(\eta _{T}=8\), \(m=3\)

\(L=60\), \(w=15\), \(\delta =20\), \(B=4\)

\(L=30\), \(w=15\), \(\delta =20\)

\(\tau =1-30\)

Monthly CO\(_{2}\)-T

\(\eta _{CO_2}=3\), \(\eta _{T}=2\), \(m=3\)

\(L=60\), \(w=15\), \(\delta =20\), \(B=4\)

\(L=30\), \(w=15\), \(\delta =20\)

\(\tau =1-30\)

Yearly ENSO-SASM

\(\eta _{ENSO}=1\), \(\eta _{SASM}=4\), \(m=3\)

\(L=60\), \(w=15\), \(\delta =20\), \(B=4\)

\(L=60\), \(w=30\), \(\delta =30\)

\(\tau =1-30\)

Monthly NINO-India Monsoon

\(\eta _{NINO}=10\), \(\eta _{mon}=3\), \(m=3\)

\(L=60\), \(w=15\), \(\delta =20\), \(B=4\)

\(L=30\), \(w=15\), \(\delta =20\)

\(\tau =1-30\)

Monthly NAO-T

\(\eta _{NAO}=1\), \(\eta _{T}=1\), \(m=3\)

\(L=60\), \(w=15\), \(\delta =20\), \(B=4\)

\(L=30\), \(w=15\), \(\delta =10\)

\(\tau =1-30\)

Daily NAO-T

\(\eta _{NAO}=15\), \(\eta _{T}=15\), \(m=3\)

\(L=40\), \(w=15\), \(\delta =20\), \(B=4\)

\(L=30\), \(w=15\), \(\delta =20\)

\(\tau =1-30\)