GLOBAL BIOGEOCHEMICAL CYCLES
Supporting Information for “Attribution of
space-time variability in global-ocean dissolved
inorganic carbon”
Dustin Carroll
1
,
2
, Dimitris Menemenlis
2
, Stephanie Dutkiewicz
3
,
4
, Jonathan
Lauderdale
3
, Jess F. Adkins
5
, Kevin W. Bowman
2
, Holger Brix
6
,
7
, Ian
Fenty
2
, Michelle M. Gierach
2
, Chris Hill
3
, Oliver Jahn
3
, Peter Landsch ̈utzer
8
,
Manfredi Manizza
9
, Matt R. Mazloff
9
, Charles E. Miller
2
, David S. Schimel
2
,
Ariane Verdy
9
, Daniel B. Whitt
10
, Hong Zhang
2
1
Moss Landing Marine Laboratories, San Jos ́e State University, Moss Landing, CA, USA
2
Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, USA
3
Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, Massachusetts, USA
4
Center for Global Change Science, Massachusetts Institute of Technology, Cambridge, Massachusetts, USA
5
Division of Geological and Planetary Sciences, California Institute of Technology, Pasadena, California, USA
6
Joint Institute for Regional Earth System Science and Engineering, University of California Los Angeles. Los Angeles, CA, USA
7
Institute of Coastal Ocean Dynamics, Helmholtz-Zentrum Hereon, Geesthacht, Germany
8
Max Planck Institute for Meteorology, Hamburg, Germany
9
Scripps Institution of Oceanography, University of California San Diego, La Jolla, California, USA
10
NASA Ames Research Center, Moffett Field, CA, USA
February 27, 2022, 2:36pm
X - 2
CARROLL ET AL.: ATTRIBUTION OF DISSOLVED INORGANIC CARBON
Contents of this file
1. Text S1
2. Figures S1 to S7
3. Tables S1 to S2
Text S1.
In the z
∗
rescaled vertical coordinates of Campin et al. (2008), the thickness of vertical
levels are scaled proportionally with sea-surface height divided by depth. Specifically, the
z
∗
scaling factor is sea-surface height times nominal level thickness divided by nominal
model depth at each horizontal location. Consider 1-m water equivalent of sea ice on
top of a model surface level of 10 m (
L1
) and a set of deeper model levels 1000-m thick
(
L2
). The concentration of DIC in both of these levels is
c
. The mass of DIC in
L1
and
L2
is proportional to 10
c
and 1000
c
, respectively. If you melt the 1 m of frozen
water, assuming that sea ice does not contain any DIC, the thickness of the levels will
be increased by a scaling factor of 1/1010, that is
L1
= 10.01 m and
L2
= 1000.99 m,
respectively. To a good approximation, the concentration of DIC in
L1
and
L2
will be
0.9
c
and
c
, respectively. Therefore the mass of DIC in
L1
and
L2
will be proportional
to 9
c
and 1001
c
, respectively. That is, the process of surface-level dilution due to sea-ice
melt in z
∗
coordinates is equivalent to redistributing 1
c
mass equivalent of DIC from the
Corresponding author: D. Carroll, Moss Landing Marine Laboratories, San Jos ́e State Univer-
sity, Moss Landing, CA, USA. (dustin.carroll@sjsu.edu)
February 27, 2022, 2:36pm
CARROLL ET AL.: ATTRIBUTION OF DISSOLVED INORGANIC CARBON
X - 3
surface level to the levels below. Conversely, sea-ice formation will redistribute DIC from
deeper levels to the surface level.
February 27, 2022, 2:36pm