Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-23T21:20:34.781Z Has data issue: false hasContentIssue false

The Marine Radiocarbon Bomb Pulse Across the Temperate North Atlantic: A Compilation of Δ14C Time Histories from Arctica Islandica Growth Increments

Published online by Cambridge University Press:  18 July 2016

James D Scourse*
Affiliation:
School of Ocean Sciences, College of Natural Sciences, Bangor University, Bangor LL59 5AB, United Kingdom
Alan D Wanamaker Jr
Affiliation:
Department of Geological and Atmospheric Sciences, 253 Science I, Iowa State University, Ames, Iowa 50011-3212, USA
Chris Weidman
Affiliation:
Waquoit Bay National Estuarine Research Reserve, PO Box 3092, 149 Waquoit Highway, Waquoit, Massachusetts 02536, USA
Jan Heinemeier
Affiliation:
AMS 14C Dating Centre, Department of Physics and Astronomy, Aarhus University, DK-8000 Aarhus C, Denmark
Paula J Reimer
Affiliation:
14CHRONO Centre, Queen's University Belfast, Belfast BT7 INN, Northern Ireland, United Kingdom
Paul G Butler
Affiliation:
School of Ocean Sciences, College of Natural Sciences, Bangor University, Bangor LL59 5AB, United Kingdom
Rob Witbaard
Affiliation:
Department of Marine Ecology, Royal Netherlands Institute for Sea Research (NIOZ), PO Box 59, 1790 AB Den Burg, Texel, the Netherlands
Christopher A Richardson
Affiliation:
School of Ocean Sciences, College of Natural Sciences, Bangor University, Bangor LL59 5AB, United Kingdom
*
Corresponding author. Email: [email protected].
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Marine radiocarbon bomb-pulse time histories of annually resolved archives from temperate regions have been underexploited. We present here series of Δ14C excess from known-age annual increments of the long-lived bivalve mollusk Arctica islandica from 4 sites across the coastal North Atlantic (German Bight, North Sea; Troms⊘, north Norway; Siglufjordur, north Icelandic shelf; Grimsey, north Icelandic shelf) combined with published series from Georges Bank and Sable Bank (NW Atlantic) and the Oyster Ground (North Sea). The atmospheric bomb pulse is shown to be a step-function whose response in the marine environment is immediate but of smaller amplitude and which has a longer decay time as a result of the much larger marine carbon reservoir. Attenuation is determined by the regional hydrographic setting of the sites, vertical mixing, processes controlling the isotopic exchange of 14C at the air-sea boundary, 14C content of the freshwater flux, primary productivity, and the residence time of organic matter in the sediment mixed layer. The inventories form a sequence from high magnitude-early peak (German Bight) to low magnitude-late peak (Grimsey). All series show a rapid response to the increase in atmospheric Δ14C excess but a slow response to the subsequent decline resulting from the succession of rapid isotopic air-sea exchange followed by the more gradual isotopic equilibration in the mixed layer due to the variable marine carbon reservoir and incorporation of organic carbon from the sediment mixed layer. The data constitute calibration scries for the use of the bomb pulse as a high-resolution dating tool in the marine environment and as a tracer of coastal ocean water masses.

Type
Articles
Copyright
Copyright © 2012 by the Arizona Board of Regents on behalf of the University of Arizona 

References

Andersen, GJ, Heinemeier, J, Nielsen, HL, Rud, N, Thomsen, MS, Johnsen, S, Sveinbjörnsdóttir, A, Hjartarson, Á. 1989. AMS 14C dating on the Fossvogur sediments, Iceland. Radiocarbon 31(3):592600.Google Scholar
Appleby, PG. 2001. Chronostratigraphic techniques in recent sediments. In: Last, WM, Smol, JP, editors. Tracking Environmental Change Using Lake Sediments. Volume 1: Basin Analysis, Coring and Chronological Techniques. Berlin: Springer-Verlag. p 171203.Google Scholar
Ardizzone, D, Cailliet, GM, Natanson, LJ, Andrews, AH, Kerr, LA, Brown, TA. 2006. Application of bomb radiocarbon chronologies to shortfin mako (Isurus oxyrinchus) age validation. Environmental Biology of Fishes 77(3–4):355–66.Google Scholar
Beirne, EC, Wanamaker, AD Jr, Feindel, SC. 2012. Experimental validation of environmental controls on the δ13C of Arctica islandica (ocean quahog) shell carbonate. Geochimica et Cosmochimica Acta 84:395409.Google Scholar
Blake, C, Maggs, C, Reimer, PJ. 2007. Use of radiocarbon dating to interpret past environments of macrl beds. Ciencias Marinas 33(4):385–97.Google Scholar
Broecker, WS, Peng, TH. 1982. Tracers in the Sea. New York: Lamont-Doherty Earth Observatory, Columbia University.Google Scholar
Broecker, WS, Peng, TH, Takahashi, T. 1980. A strategy for the use of bomb-produced radiocarbon as a tracer for the transport of fossil fuel CO2 into the deep-sea source regions. Earth and Planetary Science Letters 49(2):463–8.CrossRefGoogle Scholar
Butler, PG, Scourse, JD, Richardson, CA, Wanamaker, AD Jr, Bryant, CL, Bennell, JD. 2009. Continuous marine radiocarbon reservoir calibration and the 13C Suess effect in the Irish Sea: results from the first multi-centennial shell-based marine master chronology. Earth and Planetary Science Letters 279(3–4):230–41.Google Scholar
Butler, PG, Wanamaker, AD Jr, Scourse, JD, Richardson, CA, Reynolds, DJ. 2012. Variability of marine climate on the North Icelandic Shelf in a 1357-year proxy archive based on growth increments in the bivalve Arctica islandica. Palaeogeography, Palaeoclimatology, Palaeoecology: doi:10.1016/j.palaco.2012.01.016.CrossRefGoogle Scholar
Campana, SE, Jones, CM. 1998. Radiocarbon from nuclear testing applied to age validation of black drum, Pogonias cromis. Fishery Bulletin 96(2):185–92.Google Scholar
Campana, SE, Casselman, JM, Jones, CM. 2008. Bomb radiocarbon chronologies in the Arctic, with implications for the age validation of lake trout (Salvelinus namaycush) and other Arctic species. Canadian Journal of Fisheries and Aquatic Sciences 65(4):733–43.Google Scholar
Chapman, DC, Beardsley, RC. 1989. On the origin of shelf water in the Middle Atlantic Bight. Journal of Physical Oceanography 19(3):384–91.Google Scholar
Dahlgren, TG, Weinberg, JR, Halanych, KM. 2000. Phylogeography of the ocean quahog (Arctica islandica): influences of paleoclimate on genetic diversity and species range. Marine Biology 137(3):487–95.Google Scholar
Dickson, RR, Meincke, J, Malmberg, SA, Lee, AJ. 1988. The ‘Great Salinity Anomaly’ in the northern North Atlantic 1968–1982. Progress in Oceanography 20(2):103–51.Google Scholar
Druffel, ERM. 1987. Bomb radiocarbon in the Pacific: annual and seasonal time scale variations. Journal of Marine Research 45(3):667–98.Google Scholar
Druffel, ERM. 1989. Decade time scale variability of ventilation in the North Atlantic: high-precision measurements of bomb radiocarbon in banded corals. Journal of Geophysical Research 94(C3):3271–85.CrossRefGoogle Scholar
Druffel ERM 1997. Pulses of rapid ventilation in the North Atlantic surface ocean during the past century. Science 275(5305):1454–7.Google Scholar
Druffel, ERM, Robinson, LF, Griffin, S, Halley, RB, Southon, JR, Adkins, JF. 2008. Low reservoir ages for the surface ocean from mid-Holocene Florida corals. Paleoceanography 23(2):PA2209, doi:10.1029/2007PA001527.CrossRefGoogle Scholar
Eiríksson, J, Larsen, G, Knudsen, KL, Heinemeier, J, Simonarson, LA. 2004. Marine reservoir age variability and water mass distribution in the Iceland Sea. Quaternary Science Reviews 23(20–22):2247–68.Google Scholar
Eiríksson, J, Knudsen, KL, Larsen, G, Olsen, J, Heinemeier, J, Bartels-Jónsdóttir, HB, Jiang, H, Ran, L, Símonarson, LA. 2011. Coupling of palaeoceanographic shifts and changes in marine reservoir ages off North Iceland through the last millennium. Palaeogeography, Palaeoclimatology, Palaeoecology 302(1–2):95108.Google Scholar
Gagnon, AR, Jones, GA. 1993. AMS-graphite target production methods at the Woods Hole Oceanographic Institution between 1986–91. Radiocarbon 35(2):301–10.Google Scholar
Goodsite, ME, Rom, W, Heinemeier, J, Lange, T, Ooi, S, Appleby, PG, Shotyk, W, van der Knapp, WO, Lohse, C, Hansen, TS. 2001. High-resolution AMS 14C dating of post-bomb peat archives of atmospheric pollutants. Radiocarbon 43(2B):495515.Google Scholar
Gruber, N. 1998. Anthropogenic CO2 in the Atlantic Ocean. Global Biogeochemical Cycles 12(1):165–91.Google Scholar
Grumet, NS, Guilderson, TP, Dunbar, RB. 2002. Meridional transport in the Indian Ocean traced by coral radiocarbon. Journal of Marine Research 60(5):725–42.Google Scholar
Guilderson, TP, Schrag, DP. 1998. Abrupt shift in subsurface temperatures in the eastern tropical Pacific associated with recent changes in El Niño. Science 281(5374):241–3.Google Scholar
Guilderson, TP, Schrag, DP, Kashgarian, M, Southon, J. 1998. Radiocarbon variability in the Western Equatorial Pacific inferred from a high-resolution coral record from Nauru Island. Journal of Geophysical Research 103(C11):24,64150.CrossRefGoogle Scholar
Guilderson, TP, Schrag, DP, Goddard, E, Kashgarian, M, Wellington, GM, Linsley, BK. 2000. Southwest subtropical Pacific surface water radiocarbon in a high-resolution coral record. Radiocarbon 42(2):249–56.Google Scholar
Hannah, CG, Shore, JA, Loder, JW, Naimie, CE. 2001. Seasonal circulation on the Western and Central Scotian Shelf. Journal of Physical Oceanography 31(2):591615.Google Scholar
Hardisty, J. 1990. The British Seas. London: Routledge.Google Scholar
Hawkins, SJ, Southward, AJ, Genner, MJ. 2003. Detection of environmental change in a marine ecosystem – evidence from the western English Channel. Science of the Total Environment 310(1–3):245–56.Google Scholar
Heier-Nielsen, S, Heinemeier, J, Nielsen, HL, Rud, N. 1995. Recent reservoir ages for Danish fjords and marine waters. Radiocarbon 37(2):875–82.Google Scholar
Hill, AE, James, ID, Linden, PF, Matthews, JP, Prandle, D, Simpson, JH, Gmitrowicz, EM, Smeed, DA, Lwiza, KMM, Durazo, R, Fox, AD, Bowers, DG. 1993. Dynamics of tidal mixing fronts in the North Sea. Philosophical Transactions of the Royal Society of London A 343(1669):431–46.Google Scholar
Hua, Q, Woodroffe, CD, Smithers, SG, Barbetti, M, Fink, D. 2005. Radiocarbon in corals from the Cocos (Keeling) Islands and implications for Indian Ocean circulation. Geophysical Research Letters 32(21):L21602, doi:10.1029/2005GL023882.Google Scholar
Johannessen, OM. 1986. Brief overview of the physical oceanography. In: Hurdle, BG, editor. The Nordic Seas. New York: Springer-Verlag. p 103–27.Google Scholar
Joint, I, Pomroy, A. 1993. Phytoplankton biomass and production in the southern North Sea. Marine Ecology Progress Series 99(1–2):169–82.Google Scholar
Jones, DS. 1983. Sclerochronology – reading the record of the molluscan shell. American Scientist 71(4):384–91.Google Scholar
Kalish, JM, Nydal, R, Nedreaas, KH, Burr, GS, Eine, GL. 2001. A time history of pre- and post-bomb radiocarbon in the Barents Sea derived from Arcto-Norwegian cod otoliths. Radiocarbon 43(2):843–55.Google Scholar
Kerr, LA, Andrews, AH, Munk, K, Coale, KH, Frantz, BR, Caillet, GM, Brown, TA. 2005. Age validation of quill-back rockfish (Sebastes maliger) using bomb radiocarbon. Fishery Bulletin 103(1):97107.Google Scholar
Kilada, RW, Campana, SE, Roddick, D. 2007. Validated age, growth, and mortality estimates of the ocean quahog (Arctica islandica) in the western Atlantic. ICES Journal of Marine Science 64(1):31–8.Google Scholar
Kilada, RW, Campana, SE, Roddick, D. 2009. Growth and sexual maturity of the northern propellorclam (Cyrtodaria siliqua) in Eastern Canada, with bomb radiocarbon age validation. Marine Biology 156(5):1029–37.Google Scholar
Kilbourne, KH, Quinn, TM, Guilderson, TP, Webb, RS, Taylor, FW. 2007. Decadal- to interannual-scale source water variations in the Caribbean Sea recorded by Puerto Rican coral radiocarbon. Climate Dynamics 29(1):5162.Google Scholar
Knudsen, KL, Eiríksson, J. 2002. Application of tephrochronology to the timing and correlation of palaeoceanographic events recorded in Holocene and Late Glacial shelf sediments off North Iceland. Marine Geology 191(3–4):165–88.CrossRefGoogle Scholar
Knudsen, KL, Eiríksson, J, Jansen, E, Jiang, H, Rytter, F, Gudmundsdóttir, ER. 2004. Palaeoceanographic changes off North Iceland through the last 1200 years: foraminifera, stable isotopes, diatoms and ice rafted debris. Quaternary Science Reviews 23(20–22):2231–46.Google Scholar
Lebreiro, SM, Francés, G, Abrantes, FFG, Diz, P, Bartels-Jónsdóttir, HB, Stroynowski, Z, Gil, IM, Pena, L, Rodrigues, T, Jones, PD, Nombela, MA, Alejo, I, Briffa, KR, Harris, I, Grimalt, JO. 2006. Climate change and coastal hydrographic response along the Atlantic Iberian margin (Tagus Prodelta and Muros Ría) during the last two millennia. The Holocene 16(7):1003–15.Google Scholar
Levin, I, Kromer, B. 2004. The tropospheric 14CO2 level in mid-latitudes of the Northern Hemisphere (1959–2003). Radiocarbon 46(3):1261–72.CrossRefGoogle Scholar
Levin, I, Hammer, S, Kromer, B, Meinhardt, F. 2008. Radiocarbon observations in atmospheric CO2: determining fossil fuel CO2 over Europe using Jungfraujoch observations as background. Science of the Total Environment 391(2–3):211–6.CrossRefGoogle ScholarPubMed
Lynch-Stieglitz, J, Stocker, TF, Broecker, WS, Fairbanks, RG. 1995. The influence of air-sea exchange on the isotopic composition of oceanic carbon – observations and modelling. Global Biogechemical Cycles 9(4):653–65.Google Scholar
Mahadevan, A. 2001. An analysis of bomb radiocarbon trends in the Pacific. Marine Chemistry 73(3–4):273–90.Google Scholar
Megens, L, van der Plicht, J, de Leeuw, JW. 2001. Temporal variations in 13C and 14C concentrations in particulate organic matter from the southern North Sea Geochimica et Cosmochimica Acta 65(17):2899–911.CrossRefGoogle Scholar
Müller, SA, Joos, F, Plattner, GK, Edwards, NR, Stocker, TF. 2008. Modeled natural and excess radiocarbon: sensitivities to the gas exchange formulation and ocean transport strength. Global Biogeochemical Cycles 22(3):GB3011, doi:10.1029/2007GB003065.Google Scholar
Murawski, SA, Ropes, JW, Serchuk, FM. 1982. Growth of the ocean quahog, Arctica islandica, in the Middle Atlantic Bight. Fishery Bulletin 80(1):2143.Google Scholar
Ohkouchi, N, Eglinton, TI, Hayes, JM. 2003. Radiocarbon dating of individual fatty acids as a tool for refining Antarctic margin sediment chronologies. Radiocarbon 45(1):1724.CrossRefGoogle Scholar
Ólafsson, J. 1999. Connections between oceanic conditions off N. Iceland, Lake Mývatn temperature, regional wind direction variability and the North Atlantic Oscillation. Rit Fiskideildar 16:4157.Google Scholar
Reimer, PJ, Baillie, MGL, Bard, E, Bayliss, A, Beck, JW, Bertrand, CJH, Blackwell, PG, Buck, CE, Burr, GS, Cutler, KB, Damon, PE, Edwards, RL, Fairbanks, RG, Friedrich, M, Guilderson, TP, Hogg, AG, Hughen, KA, Kromer, B, McCormac, G, Manning, S, Bronk Ramsey, C, Reimer, RW, Remmele, S, Southon, JR, Stuiver, M, Talamo, S, Taylor, FW, van der Plicht, J, Weyhenmeyer, CE. 2004. IntCal04 terrestrial radiocarbon age calibration, 0–26 cal kyr BP. Radiocarbon 46(3):1029–58.Google Scholar
Reimer, PJ, Baillie, MGL, Bard, E, Bayliss, A, Beck, JW, Blackwell, PG, Bronk Ramsey, C, Buck, CE, Burr, GS, Edwards, RL, Friedrich, M, Grootes, PM, Guilderson, TP, Hajdas, I, Heaton, TJ, Hogg, AG, Hughen, KA, Kaiser, KF, Kromer, B, McCormac, FG, Manning, SW, Reimer, RW, Richards, DA, Southon, JR, Talamo, S, Turney, CSM, van der Plicht, J, Weyhenmeyer, CE. 2009. IntCal09 and Marine09 radiocarbon age calibration curves, 0–50,000 years cal BP. Radiocarbon 51(4):1111–50.Google Scholar
Rippeth, TP, Scoursc, JD, Uehara, K, McKeown, S. 2008. The impact of sea-level rise over the last deglacial transition on the strength of the continental shelf CO2 pump. Geophysical Research Letters 35(24):L24604, doi:10.1029/2008GL035880.Google Scholar
Ropes, JW. 1984. Procedures for preparing acetate peels and evidence validating the annual periodicity of growth lines formed in the shells of ocean quahogs, Arctica islandica. Marine Fisheries Review 46(2):2735.Google Scholar
Rytter, F, Knudsen, KL, Seidenkrantz, M-S, Eiríksson, J. 2002. Modern distribution of benthic foraminifera on the North Icelandic shelf and slope. Journal of Foraminiferal Research 32(3):217–44.CrossRefGoogle Scholar
Schöne, BR, Houk, SD, Castro, ADF, Fiebig, J, Oschmann, W, Krönke, I, Dreyer, W, Gosselek, F. 2005. Daily growth rates in shells of Arctica islandica: assessing sub-seasonal environmental controls on a long-lived bivalve mollusc. Palaios 20(1):7892.Google Scholar
Schöne, BR, Wanamaker, AD Jr, Fiebig, J, Thébault, J, Kreutz, K. 2011. Annually resolved δ13C shell chronologies of long-lived bivalve mollusks (Arctica islandica) reveal oceanic carbon dynamics in the temperate North Atlantic during recent centuries. Palaeogeography, Palaeoclimatology, Palaeoecology 302(1–2):3142.Google Scholar
Scourse, JD, Richardson, CA, Forsythe, G, Harris, I, Heinemeier, J, Fraser, N, Briffa, K, Jones, PD. 2006. First cross-matched floating chronology from the marine fossil record: data from growth lines of the long-lived bivalve molluse Arctica islandica. The Holocene 16(7):967–74.Google Scholar
Sherwood, OA, Edinger, EN. 2009. Ages and growth rates of some deep-sea gorgonian and antipatharian corals of Newfoundland and Labrador. Canadian Journal of Fisheries and Aquatic Sciences 66(1):142–52.Google Scholar
Sherwood, OA, Scott, DB, Risk, MJ, Guilderson, TP. 2005. Radiocarbon evidence for annual growth rings in the deep-sea octocoral Primnoa resedaeformis. Marine Ecology Progress Series 310:129–34.Google Scholar
Sherwood, OA, Edinger, EN, Guilderson, TP, Ghaleb, B, Risk, MJ, Scott, DB. 2008. Late Holocene radiocarbon variability in Northwest Atlantic slope waters. Earth and Planetary Science Letters 275(1–2):146–53.Google Scholar
Sikes, EL, Burgess, SN, Grandpre, R, Guilderson, TP. 2008. Assessing modern deep-water ages in the New Zealand region using deep-water corals. Deep-Sea Research I 55(1)3849.Google Scholar
Simpson, JH. 1993. Introduction to the North Sea project. Philosophical Transactions of the Royal Society of London A 343(1669):431–46.Google Scholar
Stefànsson, U. 1962. North Icelandic waters. Rit Fiskideildar 3:1269.Google Scholar
Stuiver, M, Brazunias, TF. 1993. Modeling atmospheric 14C influences and 14C ages of marine samples to 10,000 BC. Radiocarbon 35(1):137–89.Google Scholar
Stuiver, M, Polach, HA. 1977. Discussion: reporting of 14C data. Radiocarbon 19(3):355–63.Google Scholar
Sundby, S, Drinkwater, K. 2007. On the mechanisms behind salinity anomaly signals of the northern North Atlantic. Progress in Oceanography 73(2):190202.Google Scholar
Sweeney, C, Gllor, E, Jacobsen, AR, Key, RM, McKinley, G, Sarmiento, JL, Wanninkhof, R. 2007. Constraining global air-sea gas exchange for CO2 with recent bomb 14C measurements. Global Biogeochemical Cycles 21(2):GB2015, doi: 10.1029/2006GB002784.Google Scholar
Tauber, H, Funder, S. 1975. 14C content of recent molluscs from Scoresby Sund, central East Greenland. Grønlands Geologiske Undersøgelese, Rapport 75:95–9.Google Scholar
Thomas, H, Bozec, Y, Elkalay, K, de Baar, HJW. 2004. Enhanced open ocean storage of CO2 from shelf sea pumping. Science 304(5673):1005–8.Google Scholar
Toggweiler, JR, Dixon, K, Broecker, WS. 1991. The Peru upwelling and the ventilation of the South Pacific thermocline. Journal of Geophysical Research 96(Cll):20,46797.Google Scholar
Vogel, JS, Southon, JR, Nelson, DE, Brown, TA. 1984. Performance of catalytically condensed carbon for use in accelerator mass spectrometry. Nuclear Instruments and Methods in Physics Research B 5(2):289–93.Google Scholar
Wanamaker, AD Jr, Heinemeier, J, Scourse, JD, Richardson, CA, Butler, PG, Eiríksson, J. 2008. Very long-lived mollusks confirm 17th century AD tephra-based radiocarbon reservoir ages for north Icelandic shelf waters. Radiocarbon 50(3):399412.Google Scholar
Wanamaker, AD Jr, Butler, PG, Scourse, JD, Heinemeier, J, Eiríksson, J, Knudsen, KL, Richardson, CA. 2012. Surface changes in the North Atlantic meridional overturning circulation during the last millennium. Nature Communications 3:899, doi:10.1038/ncomms1901.Google Scholar
Weidman, CR. 1995. Development and application of the mollusc Arctica islandica as a paleoceanographic tool for the North Atlantic Ocean [unpublished PhD thesis]. Massachusetts Institute of Technology/Woods Hole Oceanographic Institution, MT/WHOI 95–20.Google Scholar
Weidman, CR, Jones, GA. 1993. A shell-derived time history of bomb 14C on Georges Bank and its Labrador Sea implications. Journal of Geophysical Research 98(C8):14,57788.Google Scholar
Weidman, CR, Jones, GA, Lohmann, KC. 1994. The long-lived mollusk Arctica islandica - a new paleoceanographic tool for the reconstruction of bottom temperatures for the continental shelves of the northern North Atlantic ocean. Journal of Geophysical Research-Oceans 99(C9):18,30514.Google Scholar
Weston, K, Fernand, L, Nicholls, J, Marca-Bell, A, Mills, D, Sivyer, D, Trimmer, M. 2008. Sedimentary and water column processes in the Oyster Grounds: a potentially hypoxic region of the North Sea. Marine Environmental Research 65(3):235–49.Google Scholar
Witbaard, R, Jenness, MI, van der Borg, K, Ganssen, G. 1994. Verification of annual growth increments in Arctica islandica L. from the North Sea by means of oxygen and carbon isotopes. Netherlands Journal of Sea Research 33(1):91101.Google Scholar
Wunsch, C. 1984. An estimate of the upwelling rate in the equatorial Atlantic based on the distribution of bomb radiocarbon and quasi-geostrophic dynamics. Journal of Geophysical Research 89(C5):7971–8.Google Scholar