Table 1 Top-5 variable importance rankings from the permute-and-predict method.

From: Seasonal Arctic sea ice forecasting with probabilistic deep learning

(a)

Rank

Apr intitialisation (5-month lead time)

Jun intitialisation (3-month lead time)

Aug intitialisation (1-month lead time)

1

Sept linear trend SIC forecast

(−0.56%)

Jun upw. solar radiation anomaly

(−1.32%)

Aug SIC

(−22.94%)

2

Apr upw. solar radiation anomaly

(−0.51%)

Sept linear trend SIC forecast

(−0.74%)

Aug sea level pressure anomaly

(−2.55%)

3

Apr SIC

(−0.46%)

Jun SIC

(−0.63%)

Aug 500 hPa gpt. height anomaly

(−1.58%)

4

Apr 2 m air temperature anomaly

(−0.22%)

Aug linear trend SIC forecast

(−0.45%)

Aug upw. solar radiation anomaly

(−0.66%)

5

Feb 500 hPa air temperature anomaly

(−0.22%)

May 2 m air temperature anomaly

(−0.39%)

Jun 2 m air temperature anomaly

(−0.29%)

(b)

Rank

Oct intitialisation (5-month lead time)

Dec intitialisation (3-month lead time)

Feb intitialisation (1-month lead time)

1

Mar linear trend SIC forecast

(−0.28%)

Mar linear trend SIC forecast

(−0.50%)

Feb SIC

(−8.69%)

2

Apr linear trend SIC forecast

(−0.18%)

Feb linear trend SIC forecast

(−0.34%)

Feb 500 hPa gpt. height anomaly

(−0.58%)

3

Feb linear trend SIC forecast

(−0.14%)

Dec sea level pressure anomaly

(−0.30%)

Feb upw. solar radiation anomaly

(−0.40%)

4

Apr SIC

(−0.12%)

Apr linear trend SIC forecast

(−0.22%)

Apr linear trend SIC forecast

(−0.24%)

5

Oct sea level pressure anomaly

(−0.08%)

Apr SIC

(−0.09%)

Feb sea level pressure anomaly

(−0.21%)

  1. (a) For September forecasts with April, June, and August initialisations. (b) For March forecasts with October, December, and February initialisations. The mean three-class accuracy drops associated with each variable are shown in brackets. The input variables cosine of initialisation month index and sine of initialisation month index (Supplementary Table 2) were removed from the rankings as they do not have a physical interpretation (see Supplementary Methods). Gpt. = geopotential, upw. = upwelling.