Extended Data Table 1 Spearman’s rank correlation coefficients (ρ) between frontal metrics (frequency, density, and strength), chlorophyll-a (Chl-a) concentration, and air-sea CO2 flux (FCO2) across areas

From: Global trends in ocean fronts and impacts on the air–sea CO2 flux and chlorophyll concentrations

ρ

Global

Key

Intensifying

Declining

Remaining

Ffreq vs. Chl-a

+0.348

+0.186

+0.222

+0.359

+0.186

Fdens vs. Chl-a

+0.313

+0.160

+0.153

+0.381

+0.129

Fstre vs. Chl-a

+0.382

+0.440

+0.196

+0.413

+0.055

Ffreq vs. FCO2

−0.483

−0.157

−0.293

−0.609*

−0.298

Fdens vs. FCO2

−0.374

−0.092

−0.156

−0.374

−0.163

Fstre vs. FCO2

−0.361

−0.145

−0.197

−0.571*

−0.096

Chl-a vs. FCO2

−0.178

−0.107

−0.482

−0.377

+0.107

  1. Frontal metrics include frontal frequency (Ffreq), frontal density (Fdens), and frontal strength (Fstre). The regions analysed are the global ocean (Global), key frontal areas (Key), intensifying frontal areas (Intensifying), declining frontal areas (Declining), and the remaining areas (Remaining). Correlation coefficients were computed using the Spearman’s rank correlation, and strong correlations ( | ρ | ≥ 0.5) are denoted with an asterisk.