• Please be advised that we experienced an unexpected issue that occurred on Saturday and Sunday January 20th and 21st that caused the site to be down for an extended period of time and affected the ability of users to access content on Wiley Online Library. This issue has now been fully resolved. We apologize for any inconvenience this may have caused and are working to ensure that we can alert you immediately of any unplanned periods of downtime or disruption in the future.

## SEARCH BY CITATION

Figure S1. Spatial distribution of biological and environmental data used in this study. (a) Spatial distribution of biological data (99 599 sampling sites). (b) Spatial distribution of mean sea surface temperature. (c) Spatial distribution of bathymetry. (d) Spatial distribution of annual sea surface salinity. Each climatology represented were averaged for the period from 1960 to 2005.

Figure S2. Sketch diagram of the whole methodology. Each step of the statistical procedures explained in the materials and methods is resumed.

Figure S3. Uncorrected reference matrix with grey points representing observations for (a) bathymetry as a function of SST (b) bathymetry as a function of SSS and (c) SSS as a function of SST. Completed reference matrix with grey points representing simplified observations and black points representing theoretical values added for (d) bathymetry as a function of temperature (e) bathymetry as a function of SSS and (f) SSS as a function of SST.

Figure S4. Map of the decadal mean abundance in log10(x+1) of C. finmarchicus (left panel) and probability of occurrence (right panel) for the five time periods (from 1960 to 2005). Probability of occurrence as a function of the abundance of C. finmarchicus (in log10(x+1)) is represented for each time period: 1960–1969 (in blue, rs=0.72, P<0.01, n=1149, nf=7), 1970–1979 (in green, rs=0.78, P<0.01, n=1246, nf=6), 1980–1989 (in red, rs=0.86, P<0.01, n=656, nf=10), 1990–1999 (in sky blue, rs–0.79, P<0.01, n=786, nf=11), 2000–2005 (in purple, rs=0.88, P<0.01, n=1181, nf=6). Spearman rank correlation, P value and number of data used were computed for each time period and total dataset.

Figure S5. Difference in the probability of occurrence of C. finmarchicus between the time periods 1970–1979, 1980–1989, 1990–1999, 2000–2005, 2050–2059, 2090–2099 and the reference period 1960–1969.

Table S1. Characteristics of all biological databases used in this study.

Table S2. Origin and characteristics of environmental data and biological data used in this study.

Table S3. Information on each correlation implemented between the spatial patterns in the probability of C. finmarchicus occurrence between the model NPPEN and CPR.

Please note: Wiley-Blackwell are not responsible for the content or functionality of any supporting materials supplied by the authors. Any queries (other than missing material) should be directed to the corresponding author for the article.

FilenameFormatSizeDescription
GCB_2310_sm_fig-s1.tif534KSupporting info item
GCB_2310_sm_fig-s2.tif2188KSupporting info item
GCB_2310_sm_fig-s3.tif482KSupporting info item
GCB_2310_sm_fig-s4.tif2649KSupporting info item
GCB_2310_sm_fig-s5.tif2098KSupporting info item
GCB_2310_sm_table-s1.doc48KSupporting info item
GCB_2310_sm_table-s2.doc32KSupporting info item
GCB_2310_sm_table-s3.doc33KSupporting info item

Please note: Wiley Blackwell is not responsible for the content or functionality of any supporting information supplied by the authors. Any queries (other than missing content) should be directed to the corresponding author for the article.