Transition Paths of North Atlantic Deep Water

P. Miron aCenter for Ocean-Atmospheric Prediction Studies, Florida State University, Tallahassee, Florida

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F. J. Beron-Vera bDepartment of Atmospheric Sciences, Rosenstiel School of Marine, Atmospheric, and Earth Science, University of Miami, Miami, Florida

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M. J. Olascoaga cDepartment of Ocean Sciences, Rosenstiel School of Marine, Atmospheric, and Earth Science, University of Miami, Miami, Florida

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Abstract

Recently introduced in oceanography to interpret the near-surface circulation, transition path theory (TPT) is a methodology that rigorously characterizes ensembles of trajectory pieces flowing out from a source last and into a target next, i.e., those that most productively contribute to transport. Here we use TPT to frame, in a statistically more robust fashion than earlier analysis, equatorward routes of North Atlantic Deep Water (NADW) in the subpolar North Atlantic. TPT is applied on all available RAFOS and Argo floats in the area by means of a discretization of the Lagrangian dynamics described by their trajectories. By considering floats at different depths, we investigate transition paths of NADW in its upper (UNADW) and lower (LNADW) layers. We find that the majority of UNADW transition paths sourced in the Labrador and southwestern Irminger Seas reach the western side of a target arranged zonally along the southern edge of the subpolar North Atlantic domain visited by the floats. This is accomplished in the form of a well-organized deep boundary current (DBC). LNADW transition paths sourced west of the Reykjanes Ridge reveal a similar pattern, while those sourced east of the ridge are found to hit the western side of the target via a DBC and also several other places along it in a less organized fashion, indicating southward flow along the eastern and western flanks of the Mid-Atlantic Ridge. Naked-eye inspection of trajectories suggest generally more diffused equatorward NADW routes. A source-independent dynamical decomposition of the flow domain into analogous backward-time basins of attraction, beyond the reach of direct inspection of trajectories, reveals a much wider influence of the western side of the target for UNADW than for LNADW. For UNADW, the average expected duration of the pathways from the Labrador and Irminger Seas was found to be of 2–3 years. For LNADW, the duration was found to be influenced by the Reykjanes Ridge, being as long as 8 years from the western side of the ridge and of about 3 years on average from its eastern side.

© 2022 American Meteorological Society. For information regarding reuse of this content and general copyright information, consult the AMS Copyright Policy (www.ametsoc.org/PUBSReuseLicenses).

Corresponding author: F. J. Beron-Vera, fberon@miami.edu

Abstract

Recently introduced in oceanography to interpret the near-surface circulation, transition path theory (TPT) is a methodology that rigorously characterizes ensembles of trajectory pieces flowing out from a source last and into a target next, i.e., those that most productively contribute to transport. Here we use TPT to frame, in a statistically more robust fashion than earlier analysis, equatorward routes of North Atlantic Deep Water (NADW) in the subpolar North Atlantic. TPT is applied on all available RAFOS and Argo floats in the area by means of a discretization of the Lagrangian dynamics described by their trajectories. By considering floats at different depths, we investigate transition paths of NADW in its upper (UNADW) and lower (LNADW) layers. We find that the majority of UNADW transition paths sourced in the Labrador and southwestern Irminger Seas reach the western side of a target arranged zonally along the southern edge of the subpolar North Atlantic domain visited by the floats. This is accomplished in the form of a well-organized deep boundary current (DBC). LNADW transition paths sourced west of the Reykjanes Ridge reveal a similar pattern, while those sourced east of the ridge are found to hit the western side of the target via a DBC and also several other places along it in a less organized fashion, indicating southward flow along the eastern and western flanks of the Mid-Atlantic Ridge. Naked-eye inspection of trajectories suggest generally more diffused equatorward NADW routes. A source-independent dynamical decomposition of the flow domain into analogous backward-time basins of attraction, beyond the reach of direct inspection of trajectories, reveals a much wider influence of the western side of the target for UNADW than for LNADW. For UNADW, the average expected duration of the pathways from the Labrador and Irminger Seas was found to be of 2–3 years. For LNADW, the duration was found to be influenced by the Reykjanes Ridge, being as long as 8 years from the western side of the ridge and of about 3 years on average from its eastern side.

© 2022 American Meteorological Society. For information regarding reuse of this content and general copyright information, consult the AMS Copyright Policy (www.ametsoc.org/PUBSReuseLicenses).

Corresponding author: F. J. Beron-Vera, fberon@miami.edu
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  • Banisch, R., N. D. Conrad, and C. Schütte, 2015: Reactive flows and unproductive cycles for random walks on complex networks. Eur. Phys. J. Spec. Top., 224, 23692387, https://doi.org/10.1140/epjst/e2015-02417-8.

    • Search Google Scholar
    • Export Citation
  • Beron-Vera, F. J., M. J. Olascoaga, G. Haller, M. Farazmand, J. Triñanes, and Y. Wang, 2015: Dissipative inertial transport patterns near coherent Lagrangian eddies in the ocean. Chaos, 25, 087412, https://doi.org/10.1063/1.4928693.

  • Beron-Vera, F. J., N. Bodnariuk, M. Saraceno, M. J. Olascoaga, and C. Simionato, 2020: Stability of the Malvinas Current. Chaos, 30, 013152, https://doi.org/10.1063/1.5129441.

    • Search Google Scholar
    • Export Citation
  • Bower, A. S., and W.-J. von Appen, 2008: Interannual variability in the pathways of the North Atlantic Current over the Mid-Atlantic Ridge and the impact of topography. J. Phys. Oceanogr., 38, 104120, https://doi.org/10.1175/2007JPO3686.1.

    • Search Google Scholar
    • Export Citation
  • Bower, A. S., M. S. Lozier, S. F. Gary, and C. W. Böning, 2009: Interior pathways of the North Atlantic meridional overturning circulation. Nature, 459, 243247, https://doi.org/10.1038/nature07979.

    • Search Google Scholar
    • Export Citation
  • Bower, A. S., and Coauthors, 2019: Lagrangian views of the pathways of the Atlantic meridional overturning circulation. J. Geophys. Res. Oceans, 124, 53135335, https://doi.org/10.1029/2019JC015014.

    • Search Google Scholar
    • Export Citation
  • Brémaud, P., and J. R. Norris, 1975: Markov Chains: Gibbs Fields, Monte Carlo Simulation, and Queues. Texts in Applied Mathematics, Vol. 19, Cambridge University Press, 91–121.

  • Cuny, J., P. B. Rhines, P. P. Niiler, and S. Bacon, 2016: Labrador Sea boundary currents and the fate of the Irminger Sea Water. J. Phys. Oceanogr., 32, 627647, https://doi.org/10.1175/1520-0485(2002)032<0627:LSBCAT>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • de Jong, M. J., A. S. Bower, and H. H. Furey, 2016: Seasonal and interannual variations of Irminger ring formation and boundary–interior heat exchange in FLAME. J. Phys. Oceanogr., 46, 17171734, https://doi.org/10.1175/JPO-D-15-0124.1.

    • Search Google Scholar
    • Export Citation
  • Drouin, K. L., M. S. Lozier, F. J. Beron-Vera, P. Miron, and M. J. Olascoaga, 2012: Surface pathways connecting the South and North Atlantic Oceans. Geophys. Res. Lett., 49, e2021GL096646, https://doi.org/10.1029/2021GL096646.

  • Fine, R. A., 2011: Observations of CFCs and SF6 as ocean tracers. Annu. Rev. Mar. Sci., 3, 173195, https://doi.org/10.1146/annurev.marine.010908.163933.

    • Search Google Scholar
    • Export Citation
  • Fischer, J., and F. A. Schott, 2002: Labrador Sea Water tracked by profiling floats—From the boundary current into the open North Atlantic. J. Phys. Oceanogr., 32, 573584, https://doi.org/10.1175/1520-0485(2002)032<0573:LSWTBP>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • Froyland, G., P. K. Pollett, and R. M. Stuart, 2014: A closing scheme for finding almost-invariant sets in open dynamical systems. J. Comput. Dyn., 1, 135162, https://doi.org/10.3934/jcd.2014.1.135.

    • Search Google Scholar
    • Export Citation
  • Georgiou, S., S. L. Ypma, N. Brüggemann, J.-M. Sayol, C. G. van der Boog, P. Spence, J. D. Pietrzak, and C. A. Katsman, 2021: Direct and indirect pathways of convected water masses and their impacts on the overturning dynamics of the Labrador Sea. J. Geophys. Res. Oceans, 126, e2020JC016654, https://doi.org/10.1029/2020JC016654.

  • Gonçalves Neto, A., J. B. Palter, A. Bower, H. Furey, and X. Xu, 2020: Labrador Sea Water transport across the Charlie-Gibbs fracture zone. J. Geophys. Res. Oceans, 125, e2020JC016068, https://doi.org/10.1029/2020JC016068.

  • Helfmann, L., E. R. Borrell, C. Schütte, and P. Koltai, 2020: Extending transition path theory: Periodically driven and finite-time dynamics. J. Nonlinear Sci., 30, 33213366, https://doi.org/10.1007/s00332-020-09652-7.

    • Search Google Scholar
    • Export Citation
  • Helfmann, L., J. Heitzig, P. Koltai, J. Kurths, and C. Schütte, 2021: Statistical analysis of tipping pathways in agent-based models. Eur. Phys. J., 230, 3249–3271, https://doi.org/10.1140/epjs/s11734-021-00191-0.

  • Johns, W. E., M. Devana, A. Houk, and S. Zou, 2021: Moored observations of the Iceland-Scotland Overflow plume along the eastern flank of the Reykjanes Ridge. J. Geophys. Res. Oceans, 126, e2021JC017524, https://doi.org/10.1029/2021JC017524.

  • Koelling, J., D. Atamanchuk, J. Karstensen, P. Handmann, and D. W. R. Wallace, 2022: Oxygen export to the deep ocean following Labrador Sea Water formation. Biogeosciences, 19, 437–454, https://doi.org/10.5194/bg-2021-185.

    • Search Google Scholar
    • Export Citation
  • LaCasce, J. H., and A. Bower, 2000: Relative dispersion in the subsurface North Atlantic. J. Mar. Res., 58, 863894, https://doi.org/10.1357/002224000763485737.

    • Search Google Scholar
    • Export Citation
  • Lavender, K. L., R. E. Davis, and W. B. Owens, 2000: Mid-depth recirculation observed in the interior Labrador and Irminger Seas by direct velocity measurements. Nature, 407, 6669, https://doi.org/10.1038/35024048.

    • Search Google Scholar
    • Export Citation
  • Lavender, K. L., W. B. Owens, and R. E. Davis, 2005: The mid-depth circulation of the subpolar North Atlantic Ocean as measured by subsurface floats. Deep-Sea Res. I, 52, 767785, https://doi.org/10.1016/j.dsr.2004.12.007.

    • Search Google Scholar
    • Export Citation
  • Lebedev, K. V., H. Yoshinari, N. A. Maximenko, and P. W. Hacker, 2007: YoMaHa’07: Velocity data assessed from trajectories of Argo floats at parking level and at the sea surface. IPRC Tech. Note 2, 20 pp.

    • Search Google Scholar
    • Export Citation
  • Lozier, M. S., S. F. Gary, and A. S. Bower, 2013: Simulated pathways of the overflow waters in the North Atlantic: Subpolar to subtropical export. Deep-Sea Res. II, 85, 147153, https://doi.org/10.1016/j.dsr2.2012.07.037.

    • Search Google Scholar
    • Export Citation
  • Lozier, M. S., and Coauthors, 2017: Overturning in the Subpolar North Atlantic Program: A new international ocean observing system. Bull. Amer. Meteor. Soc., 98, 737752, https://doi.org/10.1175/BAMS-D-16-0057.1.

    • Search Google Scholar
    • Export Citation
  • Lozier, M. S., and Coauthors, 2019: A sea change in our view of overturning in the subpolar North Atlantic. Science, 363, 516521, https://doi.org/10.1126/science.aau6592.

    • Search Google Scholar
    • Export Citation
  • Maximenko, N., J. Hafner, and P. Niiler, 2012: Pathways of marine debris derived from trajectories of Lagrangian drifters. Mar. Pollut. Bull., 65, 5162, https://doi.org/10.1016/j.marpolbul.2011.04.016.

    • Search Google Scholar
    • Export Citation
  • Metzner, P., C. Schütte, and E. Vanden-Eijnden, 2006: Illustration of transition path theory on a collection of simple examples. J. Chem. Phys., 125, 084110, https://doi.org/10.1063/1.2335447.

    • Search Google Scholar
    • Export Citation
  • Metzner, P., C. Schütte, and E. Vanden-Eijnden, 2009: Transition path theory for Markov jump processes. Multiscale Model. Simul., 7, 11921219, https://doi.org/10.1137/070699500.

    • Search Google Scholar
    • Export Citation
  • Miron, P., and L. Helfmann, 2021: pygtm: A Python geospatial transition matrix toolbox, version 0.1. Zenodo, https://doi.org/10.5281/zenodo.5781356.

  • Miron, P., F. J. Beron-Vera, M. J. Olascoaga, J. Sheinbaum, P. Pérez-Brunius, and G. Froyland, 2017: Lagrangian dynamical geography of the Gulf of Mexico. Sci. Rep., 7, 7021, https://doi.org/10.1038/s41598-017-07177-w.

  • Miron, P., F. J. Beron-Vera, M. J. Olascoaga, G. Froyland, P. Pérez-Brunius, and J. Sheinbaum, 2019a: Lagrangian geography of the deep Gulf of Mexico. J. Phys. Oceanogr., 49, 269–290, https://doi.org/10.1175/JPO-D-18-0073.1.

  • Miron, P., F. J. Beron-Vera, M. J. Olascoaga, and P. Koltai, 2019b: Markov-chain-inspired search for MH370. Chaos, 29, 041105, https://doi.org/10.1063/1.5092132.

  • Miron, P., F. J. Beron-Vera, L. Helfmann, and P. Koltai, 2021: Transition paths of marine debris and the stability of the garbage patches. Chaos, 31, 033101, https://doi.org/10.1063/5.0030535.

  • Olascoaga, M. J., P. Miron, C. Paris, P. Pérez-Brunius, R. Pérez-Portela, R. H. Smith, and A. Vaz, 2018: Connectivity of Pulley Ridge with remote locations as inferred from satellite-tracked drifter trajectories. J. Geophys. Res. Oceans, 123, 57425750, https://doi.org/10.1029/2018JC014057.

    • Search Google Scholar
    • Export Citation
  • Pickart, R. S., F. Straneo, and G. W. K. Moore, 2003: Is Labrador Sea Water formed in the Irminger Basin? Deep-Sea Res. I, 50, 2352, https://doi.org/10.1016/S0967-0637(02)00134-6.

    • Search Google Scholar
    • Export Citation
  • Ramsey, A. L., H. H. Furey, and A. S. Bower, 2020: Overturning of the Subpolar North Atlantic Program (OSNAP): RAFOS float data report—June 2014–January 2019. Woods Hole Oceanographic Institution Tech. Rep. WHOI-2020-06, 511 pp., https://doi.org/10.1575/1912/26515.

  • Sabine, C. L., and T. Tanhua, 2010: Estimation of anthropogenic CO2 inventories in the ocean. Annu. Rev. Mar. Sci., 2, 175198, https://doi.org/10.1146/annurev-marine-120308-080947.

    • Search Google Scholar
    • Export Citation
  • Stommel, H., 1958: The abyssal circulation. Deep-Sea Res., 5, 8082, https://doi.org/10.1016/S0146-6291(58)80014-4.

  • Talley, L. D., and M. S. McCartney, 1982: Distribution and circulation of Labrador Sea Water. J. Phys. Oceanogr., 12, 11891205, https://doi.org/10.1175/1520-0485(1982)012<1189:DACOLS>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • Vanden-Eijnden, E., 2006: Transition path theory. Computer Simulations in Condensed Matter Systems: From Materials to Chemical Biology, Vol. 1, Springer, 453493.

    • Search Google Scholar
    • Export Citation
  • Weinan, E., and E. Vanden-Eijnden, 2006: Towards a theory of transition paths. J. Stat. Phys., 123, 503523, https://doi.org/10.1007/s10955-005-9003-9.

    • Search Google Scholar
    • Export Citation
  • Weinan, E., and E. Vanden-Eijnden, 2010: Transition-path theory and path-finding algorithms for the study of rare events. Annu. Rev. Phys. Chem., 61, 391–420, https://doi.org/10.1146/annurev.physchem.040808.090412.

  • Zou, S., S. Lozier, W. Zenk, A. Bower, and W. Johns, 2017: Observed and modeled pathways of the Iceland Scotland Overflow Water in the eastern North Atlantic. Prog. Oceanogr., 159, 211222, https://doi.org/10.1016/j.pocean.2017.10.003.

    • Search Google Scholar
    • Export Citation
  • Zou, S., A. Bower, H. Furey, M. S. Lozier, and X. Xu, 2020: Redrawing the Iceland-Scotland Overflow Water pathways in the North Atlantic. Nat. Commun., 11, 1890, https://doi.org/10.1038/s41467-020-15513-4.

    • Search Google Scholar
    • Export Citation
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