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  • Cited by 76
Publisher:
Cambridge University Press
Online publication date:
June 2012
Print publication year:
2011
Online ISBN:
9780511975721

Book description

This advanced textbook on modeling, data analysis and numerical techniques for marine science has been developed from a course taught by the authors for many years at the Woods Hole Oceanographic Institute. The first part covers statistics: singular value decomposition, error propagation, least squares regression, principal component analysis, time series analysis and objective interpolation. The second part deals with modeling techniques: finite differences, stability analysis and optimization. The third part describes case studies of actual ocean models of ever increasing dimensionality and complexity, starting with zero-dimensional models and finishing with three-dimensional general circulation models. Throughout the book hands-on computational examples are introduced using the MATLAB programming language and the principles of scientific visualization are emphasised. Ideal as a textbook for advanced students of oceanography on courses in data analysis and numerical modeling, the book is also an invaluable resource for a broad range of scientists undertaking modeling in chemical, biological, geological and physical oceanography.

Reviews

'… this book does not deal only with modeling; it also presents many numerical data analysis techniques. It is very didactic, well-written (sometimes with humor) and provides an advanced set of tools for students, teachers and research scientists who are interested in the numerical side of several fields in marine science … At the end of each chapter, selected exercises are proposed, which also makes this book an excellent course support for teachers.'

Source: Limnology and Oceanography Bulletin

'I believe that no other book covers the same topics as this book does, so in that sense it is unique … I very highly recommend this book for use in courses that cover modeling methods in oceanography or geophysics, and to researchers who want to refresh their knowledge or learn new aspects of their subject.'

Peter R. Gent Source: Bulletin of the American Meteorological Society

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Contents

References
References
Aiken, J., Y., Pradhan, R., Barlowet al., 2009, Phytoplankton pigments and functional types in the Atlantic Ocean: A decadal assessment, 1995–2005, Deep-Sea Res. II, 56(15), 899–917.
Alvarez, A., V., Bertram, and L., Gualdesi, 2009, Hull hydrodynamic optimization of autonomous underwater vehicles operating at snorkeling depth, Ocean Eng., 36(1), 105–112.
Anderson, L. A. and J. L., Sarmiento, 1994, Redfield ratios of remineralization determined by nutrient data-analysis, Glob. Biogeochem. Cycles, 8(1), 65–80.
Arakawa, A., 1966, Computational design for long-term numerical integrations of the equations of fluid motion: Two-dimensional incompressible flow, Part 1, J. Comput. Phys., 1, 119–143.
Armi, L. and D., Haidvogel, 1982, Effects of variable and anisotropic diffusivities in a steady state diffusion model, J. Phys. Oceanogr. 12, 785–794.
Athias, V., P., Mazzega, and C., Jeandel, 2000, Selecting a global optimization method to estimate the oceanic particle cycling rate constants, J. Mar. Res., 58(5), 675–707.
Beckmann, A. and R., Doscher, 1997. A method for improved representation of dense water spreading over topography in geopotential-coordinate models, J. Phys. Oceanogr., 27, 581–591.
Bennett, A. F., 2002, Inverse Modeling of the Ocean and Atmosphere, New York: Cambridge University Press.
Berner, R. A., 1980, Early Diagenesis, Princeton, NJ: Princeton University Press.
Bevington, P. R. and D. K., Robinson, 2003, Data Reduction and Error Analysis for the Physical Sciences, 3rd edn, New York, NY: McGraw-Hill Inc.
Bishop, C. M., 1995, Neural Networks for Pattern Recognition, Oxford, UK: Oxford University Press.
Boas, M. L., 2005, Mathematical Methods in the Physical Sciences, 3rd edn, New York, NY: John Wiley & Sons.
Boyer Montégut, C., G., Madec, A. S., Fischer, A., Lazar, and D., Iudicone, 2004, Mixed layer depth over the global ocean: an examination of profile data and a profile-based climatology, J. Geophys. Res., 109, C12003.
Briegleb, B. P., C. M., Bitz, E. C., Hunkeet al., 2004, Scientific description of the sea ice component in the Community Climate System Model, Version Three, Tech. Rep. NCAR-TN-463STR, Boulder, CO: National Center for Atmospheric Research.
Bretherton, F. P., R. E., Davis, and C. B., Fandry, 1976, A technique for objective analysis and design of oceanographic experiments applied to MODE-73, Deep-Sea Res., 23, 559–582.
Bretherton, C. S., Smith, C., and Wallace, J. M., 1992. An intercomparison of methods for finding coupled patterns in climate data. J. Clim., 5, 541–560.
Broecker, W.S. and T.-H., Peng, 1982, Tracers in the Sea. Palisades, NY: ELDIGIO Press.
Bryan, K., 1969, A numerical method for the study of the circulation of the world ocean, J. Comput. Phys., 4, 347–376.
Bryan, F., 1987, Parameter sensitivity of primitive equation ocean general circulation models, J. Phys. Oceanogr., 17, 970–985.
Canellas, B., S., Balle, J., Tintore, and A., Orfila, 2010, Wave height prediction in the Western Mediterranean using genetic algorithms, Ocean Eng., 37(8–9), 742–748.
Carton, J. A. and B. S., Giese, 2008, A reanalysis of ocean climate using Simple Ocean Data Assimilation (SODA), Mon. Wea. Rev., 136, 2999–3017.
Case, T. J., 1999, An Illustrated Guide to Theoretical Ecology, Oxford, UK: Oxford University Press.
Chatfield, C., 2004, The Analysis of Time Series: An Introduction, 6th edn, Boca Raton, FL: Chapman & Hall/CRC Press Texts in Statistical Science.
Chilés, J.-P. and P., Delfiner, 1999, Geostatistics, Modeling Spatial Uncertainty, New York: John Wiley & Sons.
Collins, W. D., M., Blackmon, C. M., Bitzet al., 2006, The Community Climate System Model: CCSM3, J. Clim., 19, 2122–2143.
Cox, M. D., 1984, A primitive equation, 3-dimensional model of the ocean. GFDL Ocean Group Technical Report No. 1. Available from Geophysical Fluid Dynamics Laboratory, Princeton, New Jersey, 08542.
Craig, H., 1969, Abyssal carbon and radiocarbon in the Pacific, J. Geophys. Res., 74, 5491–5506.
Cressie, N. A. C., 1993, Statistics for Spatial Data, New York: Wiley-Interscience.
Cressie, N. A. C. and D. M., Hawkins, 1980, Robust estimation of the variogram, I, J. Int. Assoc. Math. Geol., 12, 115–125.
Dai, A., T. T., Qian, K. E., Trenberth, and J. D., Milliman, 2009, Changes in continental freshwater discharge from 1948 to 2004, J. Clim., 22, 2773–2792.
Danabasoglu, G., J. C., McWilliams, and P. R., Gent, 2004, The role of mesoscale tracer transports in the global ocean circulation, Science, 264, 1123–1126.
Davis, J. C., 2002, Statistics and Data Analysis in Geology, 3rd edn, New York: John Wiley and Sons.
Davis, R. E., 1998, Preliminary results from directly measuring middepth circulation in the tropical and South Pacific, J. Geophys. Res. Oceans, 103, 24619–24639.
Davis, T. A. and K., Sigmon, 2004, MATLAB Primer, 7th edn, Boca Raton, FL: Chapman and Hall/CRC.
deBoor, C., 1978, A Practical Guide to Splines, New York: Springer-Verlag.
Derbyshire, J., 2003, Prime Obsession, Bernhard Riemann and the Greatest Unsolved Problem in Mathematics, New York: Plume Book, member of Penguin Group (USA).
Deuser, W. G., 1986, Seasonal and interannual variations in deep-water particle fluxes in the Sargasso Sea and their relation to surface hydrography, Deep-Sea Res., 33(2), 225–246.
Doney, S. C., 1996. A synoptic atmospheric surface forcing data set and physical upper ocean model for the U.S. JGOFS Bermuda Atlantic Time-series Study Site. J. Geophys. Res., 101(C10), 25615–25634.
Doney, S. C., 1999, Major challenges confronting marine biogeochemical modeling, Glob. Biogeochem. Cycles, 13, 705–714.
Doney, S. C., R. G., Najjar, and S., Stewart, 1995, Photochemistry, mixing, and diurnal cycles in the upper ocean, J. Mar. Res., 53, 341–369.
Doney, S. C., W. G., Large, and F. O., Bryan, 1998, Surface ocean fluxes and watermass transformation rates in the coupled NCAR Climate System Model, J. Clim., 11, 1420–1441.
Doney, S. C., K., Lindsay, and J. K., Moore, 2003, Global ocean carbon cycle modeling in Ocean Biogeochemistry, ed. M., Fasham, Springer, 217–238.
Doney, S. C., K., Lindsay, K., Caldeiraet al., 2004, Evaluating global ocean carbon models: the importance of realistic physics, Glob. Biogeochem. Cycles, 18, GB3017, doi:10.1029/2003GB002150.
Doney, S. C., S., Yeager, G., Danabasoglu, W. G., Large, and J. C., McWilliams, 2007, Mechanisms governing interannual variability of upper ocean temperature in a global hindcast simulation, J. Phys. Oceanogr., 37, 1918–1938.
Doney, S. C., I., Lima, J. K., Mooreet al., 2009, Skill metrics for confronting global upper ocean ecosystem-biogeochemistry models against field and remote sensing data, J. Mar. Sys., 76, 95–112, doi:10.1016/j.jmarsys.2008.05.015.
Ducet, N., P. Y., Le Traon, and G., Reverdin, 2000, Global high-resolution mapping of ocean circulation from TOPEX/Poseidon and ERS-1 and-2, J. Geophys. Res. Oceans, 105, 19477–19498.
Dutay, J.-C., J. L., Bullister, S. C., Doneyet al., 2002, Evaluation of ocean model ventilation with CFC-11: comparison of 13 global ocean models, Ocean Modelling, 4, 89–120.
Eckart, C. and G., Young, 1936, The approximation of one matrix by another of lower rank, Psychometrika, 1, 3, 211–218.
Emerson, S. R. and J. I., Hedges, 2008, Chemical Oceanography and the Marine Carbon Cycle. Cambridge, UK: Cambridge University Press.
Emery, W. J. and R. E., Thompson, 1998, Data Analysis Methods in Physical Oceanography, New York: Pergamon Press, Elsevier Science Inc.
Errico, R. M., 1997, What is an adjoint model?Bull. Am. Met. Soc., 78, 2577–2591.
Fallat, M. R., S. E., Dosso, and P. L., Nielsen, 2004, An investigation of algorithm-induced variability in geoacoustic inversion, IEEE J. Ocean. Eng., 29(1), 78–87.
Fasham, M. (ed.), 2003, Ocean Biogeochemistry, New York: Springer.
Fasham, M. J. R., B. M., Balino, M. C., Bowleset al., 2001, A new vision of ocean biogeochemistry after a decade of the Joint Global Ocean Flux Study (JGOFS), AMBIO, Spec. Iss. 10, 4–31.
Fennel, W. and T., Neumann, 2004, Introduction to the Modelling of Marine Ecosystems, Elsevier Oceanography Series, 72, San Diego, CA: Elsevier, Inc.
Fennel, K., J., Wilkin, J., Levinet al., 2006, Nitrogen cycling in the Middle Atlantic Bight: Results from a three-dimensional model and implications for the North Atlantic nitrogen budget, Glob. Biogeochem. Cycles, 20, GB3007.
Fratantoni, D. M., 2001, North Atlantic surface circulation during the 1990's observed with satellite-tracked drifters, J. Geophys. Res. Oceans, 106, 22067–22093.
Friedrichs, M. A. M., J. A., Dusenberry, L. A., Andersonet al., 2007, Assessment of skill and portability in regional marine biogeochemical models: the role of multiple planktonic groups, J. Geophys. Res. Oceans, 112, C08001, doi: 10.1029/2006 JC003852.
Ganachaud, A. and C., Wunsch, 2002, Oceanic nutrient and oxygen transports and bounds on export production during the World Ocean Circulation Experiment, Global Biogeochem. Cycles, 16(4), 1057, doi: 10.1029/2000GB001333.
Ganachaud, A. and C., Wunsch, 2003, Large-scale ocean heat and freshwater transport during the World Ocean Circulation Experiment, J. Clim., 16, 696–705.
Garcia, H. E., R. A., LocarniniT. P., Boyer, and J. I., Antonov, 2006, NOAA Atlas NESDIS 64, World Ocean Atlas 2005, Volume 4, Nutrients (Phosphate, Nitrate, Silicate), ed. S., Levitus, Washington, DC: US Government Printing Office.
Gargett, A. E. 1984, Vertical eddy diffusivity in the ocean interior, J. Mar. Res., 42, 359–393.
Garrett, C., 1983. On the initial streakiness of a dispersing tracer in two- and three-dimensional turbulence, Dyn. Atmos. Oceans, 7, 265–277.
Garrett, C., 1989, A mixing length interpretation of fluctuations in passive scalar concentration in homogeneous turbulence, J. Geophys. Res., 94, 9710–9712.
Garrett, C., 2006, Turbulent dispersion in the ocean, Prog. Oceanogr., 70, 113–125.
Gent, P. R. and J. C., McWilliams, 1990: Isopycnal mixing in ocean circulation models, J. Phys. Oceanogr., 20, 150–155.
Gent, P. R., J., Willebrand, T., McDougall, and J. C., McWilliams, 1995, Parameterizing eddy-induced tracer transports in ocean circulation models, J. Phys. Oceanogr., 25, 463–474.
Gent, P. R., F. O., Bryan, G., Danabasogluet al., 2006, Ocean chlorofluorocarbon and heat uptake during the twentieth century in the CCSM3, J. Clim., 19, 2366–2381.
Giering, R. and T., Kaminski, 1998, Recipes for adjoint code construction, ACM Trans. Math. Software, 24(4), 437–474.
Gill, A. E., 1982, Atmosphere–Ocean Dynamics, New York: Academic Press.
Gill, P. E., W., Murray, and M. H., Wright, 1981, Practical Optimization, New York, NY: Academic Press, Inc.
Glover, D. M., S. C., Doney, A. J., Mariano, R. H., Evans, and S. J., McCue, 2002, Mesoscale variability in time-series data: Satellite-based estimates for the U.S. JGOFS Bermuda Atlantic Time-Series Study (BATS) site, J. Geophys. Res. Oceans, 107(C8), 3092, doi:10.1029/2000JC000589.
Gnanadesikan, A., 1999, A simple predictive model for the structure of the oceanic pycnocline, Science, 283, 2077–2079.
Gordon, A. D., 1999, Classification, 2nd edn. Boca Raton, FL: Chapman and Hall.
Gradshteyn, I. S. and I. M., Ryzhik, 2000, Table of Integrals, Series, and Products, 6th edn, San Diego, CA: Academic Press.
,Gregg, 1987, Diapycnal mixing in the thermocline: A review, J. Geophys. Res., 92, 5249–5286.
Gregg, W. W., M. A. M., FriedrichsA. R., Robinsonet al., 2009, Skill assessment in ocean biological data assimilation, J. Mar. Syst., 76, 16–33.
Griffies, S., 2004, Fundamentals of Ocean Climate Models, Princeton NJ: Princeton University Press.
Griffies, S. M., 1998, The Gent–McWilliams skew-flux, J. Phys. Oceanogr., 28, 831–841.
Griffies, S. M., C., Böning, F. O., Bryanet al., 2000, Developments in ocean climate modelling, Ocean Modelling, 2, 123–192.
Gruber, N., H., Frenzel, S. C., Doneyet al., 2006: Eddy-resolving simulation of plankton ecosystem dynamics in the California Current System, Deep-Sea Res. I, 53, 1483–1516.
Gruber, N., M., Gloor, S. E., Mikaloff Fletcheret al., 2009, Oceanic sources, sinks, and transport of atmospheric CO2, Glob. Biogeochem. Cycles, 23, GB1005, doi:10.1029/2008GB003349.
Haidvogel, D. B. and A., Beckmann, 1999, Numerical Ocean Circulation Modeling, London, UK: Imperial College Press.
Hall, T. M. and T. W. N., Haine, 2002, On ocean transport diagnostics: the idealized age tracer and the age spectrum, J. Phys. Oceanogr., 32(6), 1987–1991.
Hasselmann, K., 1976, Stochastic climate models, Part I. Theory, Tellus, 28(6), 473–485.
Hastings, A., 1997, Population Biology, Concepts and Models, New York, NY: Springer-Verlag.
Hecht, M. W., W. R., Holland, and P. J., Rasch, 1995, Upwind-weighted advection schemes for ocean tracer transport: an evaluation in a passive tracer context, J. Geophys. Res., 100 (C10), 20763–20778.
Hecht, M. W., F. O., Bryan, and W. R., Holland, 1998, A consideration of tracer advection schemes in a primitive equation ocean model, J. Geophys. Res. Oceans, 103(C2), 3301–3321.
Hollander, M. and D. A., Wolfe, 1999, Nonparametric Statistical Methods, 2nd edn, New York: John Wiley and Sons.
Holloway, G., 1992, Representing topographic stress for large-scale ocean models, J. Phys. Oceanogr., 22, 1033–1046.
Hood, R. R., E. A., Laws, R. A., Armstronget al., 2006, Pelagic functional group modeling: progress, challenges and prospects, Deep-Sea Res. II, 53(5–7), 459–512.
Huse, G. and O., Fiksen, 2010, Modelling encounter rates and distribution of mobile predators and prey, Progr. Oceanogr., 84(1–2), Spec. Iss. SI, 93–104.
Jayne, S. R., 2006, Circulation of the North Atlantic Ocean from altimetry and the Gravity Recovery and Climate Experiment geoid, J. Geophys. Res., 111, C03005, doi:10.1029/2005JC003128.
Jayne, S. R., 2009, The impact of abyssal mixing parameterizations in an ocean general circulation model, J. Phys. Oceanogr., 39, 1756–1775.
Jayne, S. R. and J., Marotzke, 2001, The dynamics of ocean heat transport variability, Rev. Geophys., 39, 385–411.
Jenkins, W. J., 1980, Tritium and 3He in the Sargasso Sea, J. Mar. Res. 38, 533–569.
Jenkins, W. J., 1998, Studying thermocline ventilation and circulation using tritium and 3He. J. Geophys. Res., 103(C8): 15817–15831.
Jenkins, W. J., 2004, Tracers of ocean mixing. In Treatise on Geochemistry, Volume 6, The Oceans and Marine Geochemistry, ed. H. D., Holland and K. K., Turekian. Amsterdam: Elsevier, pp. 223–246.
Jenkins, W. J. and J. C., Goldman, 1985, Seasonal oxygen cycling and primary production in the Sargasso Sea. J. Mar. Res., 43, 465–491.
Jenkins, W. J. and D. W. R., Wallace, 1992, Tracer based inferences of new primary production in the sea. In Primary Production and Biogeochemical Cycles in the Sea, ed. P. G., Falkowski and A. D., Woodhead. New York: Plenum, pp. 299–316.
Jenkins, G. M. and D. G., Watts, 1968, Spectral Analysis and its Applications, Oakland, CA: Holden-Day.
Jerlov, N. G., 1968, Optical Oceanography, Amsterdam, Elsevier Publishing Co.
Jumars, P. A., J. H., Trowbridge, E., Boss, and L., Karp-Boss, 2009, Turbulence–plankton interactions: a new cartoon. Mar. Ecol. 30, 133–150.
Kalnay, E.Kanamitsu, M. and Kistler, R., 1996, The NCEP/NCAR 40-year reanalysis project. Bull. Am. Met. Soc., 77, p437–471.
Kalnay, E., 2003, Atmospheric Modeling, Data Assimilation, and Predictability, New York: Cambridge University Press.
Karstensen, J. and Tomczak, M., 1998, Age determination of mixed water masses using CFC and oxygen data, J. Geophys. Res. 103, 18599–18609.
Kasibhatla, P., Heimann, M. and Rayner, P., eds., 2000, Inverse Methods in Global Biogeochemical Cycles, Washington, DC: American Geophysical Union.
Keeling, R. F., 1993, On the role of large bubbles in air-sea gas exchange and supersaturation in the ocean. J. Mar. Res., 51, 237–271.
Kent, J. T., G. S., Watson, and T. C., Onstott, 1990, Fitting straight lines and planes with an application to radiometric dating, Earth Planet. Sci. Lett., 97, 1–17.
Key, R. M., A., Kozyr, C. L., Sabineet al., 2004, A global ocean carbon climatology: results from GLODAP, Glob. Biogeochem. Cycles, 18, GB4031.
Khatiwala, S., F., Primeau, and T., Hall, 2009, Reconstruction of the history of anthropogenic CO2 concentrations in the ocean, Nature, 462, 346–349.
Kraus, E. B. and J. S., Turner, 1967, A one-dimensional model of the seasonal thermocline II. The general theory and its consequences, Tellus, 19, 98–106.
Large, W. G. and S. G., Yeager, 2009, The global climatology of an interannually varying air–sea flux data set, Clim. Dynam., 33, 341–364.
Large, W. G., J. C., McWilliams, and S. C., Doney, 1994, Oceanic vertical mixing: A review and a model with a nonlocal boundary layer parameterization, Rev. Geophys., 32, 363–403.
Large, W. G., G., Danabasoglu, S. C., Doney, and J. C., McWilliams, 1997, Sensitivity to surface forcing and boundary layer mixing in a global ocean model: annual-mean climatology, J. Phys. Oceanogr., 27, 2418–2447.
Large, W. G., G., Danabasoglu, J. C., McWilliams, P. R., Gent, and F. O., Bryan, 2001, Equatorial circulation of a global ocean climate model with anisotropic horizontal viscosity, J. Phys. Oceanogr., 31, 518–536.
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, 767–785.
Ledwell, J. R., A. J., Watson, and C. S., Law, 1998, Mixing of a tracer in the pycnocline, J. Geophys. Res., 103, 21499–21529.
Le Quéré, C., S. P., Harrison, I. C., Prenticeet al., 2005, Ecosystem dynamics based on plankton functional types for global ocean biogeochemistry models, Glob. Change Biol., 11, 2016–2040.
Levitus, S., T. P., Boyer, M. E., Conkrightet al., 1998, NOAA Atlas NESDIS 18, World Ocean Database 1998, Volume 1, Introduction, Washington, DC: US Government Printing Office.
Levitus, S., J., Antonov, and T., Boyer, 2005, Warming of the world ocean, 1955–2003, Geophys. Res. Lett., 32, L02604, doi:10.1029/2004GL021592.
Levy, M., P., Klein, and A.-M., Treguier, 2001, Impact of sub-mesoscale physics on production and subduction of phytoplankton in an oligotrophic regime. J. Mar. Res. 59, 535–565.
Li, X. W. and F. W., Primeau, 2008, A fast Newton–Krylov solver for seasonally varying global ocean biogeochemistry models, Ocean Modelling, 23, 13–20.
Light, A., and P. J., Bartlein, 2004, The end of the rainbow? Color schemes for improved data graphics, EOS Trans. AGU, 40, 385, 391.
Lomb, N. R., 1976, Least-squares frequency analysis of unequally spaced data, Astrophys. Space Sci., 39, 447–462.
Lotka, A. J., 1920, Undamped oscillations derived from the law of mass action. J. Am. Chem. Soc., 42, 1595–1599.
Lotka, A. J. 1925, Elements of Physical Biology, Baltimore, MD: Williams and Wilkins Co.
MacMahon, D., 2006, Half-life evaluations for 3H, 90Sr, and 90Y. Appl. Rad. Isotopes, 64, 1417–1419.
Mallat, S., 1999, A Wavelet Tour of Signal Processing, San Diego, CA: Academic Press.
Marcotte, D., 1991, Cokriging with MATLAB, Comp. Geosci., 17(9), 1265–1280.
Marcotte, D., 1996, Fast variogram computation with FFT, Comp. Geosci., 22(10), 1175–1186.
Martens, C. and Berner, R., 1977, Interstitial water chemistry of anoxic Long Island Sound sediments. 1. Dissolved gases, Limnol. Oceanogr., 22(1), 10–25.
Maslowski, W. and W. H., Lipscomb, 2003, High resolution simulations of Arctic sea ice, 1979–1993, Polar Res., 22, 67–74.
Matear, R. J., 1995, Parameter optimization and analysis of ecosystem models using simulated annealing — a case-study at station-P, J. Mar. Res., 53(4), 571–607.
,MathWorks, The, 2009, MATLAB 7 Function Reference, Natick, MA: The Mathworks, Inc.
,MathWorks, The, 2010, Optimization Toolbox 5, Users Guide, Natick, MA: The Mathworks, Inc.
Matsumoto, K., J. L., Sarmiento, R. M., Key 2004, Evaluation of ocean carbon cycle models with data-based metrics, Geophys. Res. Lett., 31, L07303, doi:10.1029/2003GL018970.
Mayorga, E., S. P., Seitzinger, J. A., Harrisonet al., 2010, Global Nutrient Export from WaterSheds 2 (NEWS 2): Model development and implementation, Environ. Modelling Software, 25, 837–853.
McClain, C. R., G. C., Feldman, and S. B., Hooker, 2004, An overview of the SeaWiFS project and strategies for producing a climate research quality global ocean bio-optical time series, Deep Sea Res. II, 51, 5–42.
McGillicuddy, D. J. Jr., L. A., Anderson, S. C., Doney, and M. E., Maltrud, 2003, Eddy-driven sources and sinks of nutrients in the upper ocean: Results from a 0.1 resolution model of the North Atlantic, Glob. Biogeochem. Cycles, 17(2), 1035, doi:10.1029/2002GB001987.
McPhaden, M. J., A. J., Busalacchi, R., Cheneyet al., 1998, The tropical ocean global atmosphere observing system: A decade of progress, J. Geophys. Res. Oceans, 103, 14169–14240.
McWilliams, J. C., 2006, Fundamentals of Geophysical Fluid Dynamics, Cambridge, UK: Cambridge University Press.
Mellor, G. L. and T., Yamada, 1974, A hierarchy of turbulence closure models for planetary boundary layers, J. Atmos. Sci., 31, 1791–1806.
Mellor, G. L. and T., Yamada, 1982, Development of a turbulence closure model for geophysical fluid problems, Rev. Geophys. Space Phys., 20, 851–875.
Menke, W., 1984, Geophysical Data Analysis: Discrete Inverse Theory, New York: Academic Press, Inc.
Metropolis, N., A., Rosenbluth, M., Rosenbluth, A., Teller, and E., Teller, 1953, Equations of state calculations by fast computing machines, J. Chem. Phys., 21, 1087–1092.
Mikaloff Fletcher, S. E., N., Gruber, A. R., Jacobsonet al., 2006, Inverse estimates of anthropogenic CO2 uptake, transport, and storage by the ocean, Glob. Biogeochem. Cycles, 20, GB2002.
Mikaloff Fletcher, S. E., N., Gruber, A. R., Jacobsonet al., 2007: Inverse estimates of the oceanic sources and sinks of natural CO2 and their implied oceanic transport, Glob. Biogeochem. Cycles, 21, GB1010.
Monahan, E. C. and T., Torgersen, 1991. Enhancement of air–sea gas exchange by oceanic whitecapping. In Air–Water Mass Transfer, Second International Symposium on Gas Transfer at Water Surfaces, New York: ASCE, pp. 608–617.
Moore, J. K., S. C., Doney, and K., Lindsay, 2004, Upper ocean ecosystem dynamics and iron cycling in a global 3-D model, Glob. Biogeochem. Cycles, 18, GB4028, 10.1029/2004GB002220.
Munk, W., 1966, Abyssal recipes, Deep-Sea Res. 13, 707–730.
Munk, M., 2006, Ocean acoustic tomography from a stormy start to an uncertain future In Physical Oceanography Developments Since 1950, ed. M., Jochum and R., Murtugudde. New York, NY: Springer, pp. 119–138.
Munk, W., and C., Wunsch, 1979, Ocean acoustic tomography: a scheme for large scale monitoring, Deep-Sea Res. A, 26, 123–161.
Murray, J. D., 1993, Mathematical Biology, 2nd Corrected edn Berlin: Springer-Verlag.
Nabney, I. T., 2002, NETLAB: Algorithms for Pattern Recognition, Advances in Pattern Recognition, London, UK: Springer.
Najjar, R. G., X., Jin, F., Louanchiet al., 2007, Impact of circulation on export production, dissolved organic matter and dissolved oxygen in the ocean: Results from Phase II of the Ocean Carbon-cycle Model Intercomparison Project (OCMIP-2), Glob. Biogeochem. Cycles, 21, GB3007, doi:10.1029/2006GB002857.
Nelder, J. A. and R., Mead, 1965, A simplex method for function minimization, Comput. J., 7, 308–313.
Nightingale, P. D., P. S., Liss, and P., Schlosser, 2000, Measurements of air–sea gas transfer during an open ocean algal bloom, Geophys. Res. Lett., 27(14), 2117–2120.
Nocedal, J. and S. J., Wright, 1999, Numerical Optimization, Springer Series in Operations Research, New York, NY: Springer-Verlag.
Okubo, A., 1971, Oceanic diffusion diagrams, Deep-Sea Res., 18, 789–802.
Oschlies, A., W., Koeve and V., Garcon, 2000, An eddy-permitting coupled physical–biological model of the North Atlantic 2. Ecosystem dynamics and comparison with satellite and JGOFS local studies data, Glob. Biogeochem. Cycles, 14, 499–523.
Pacanowski, R. C. and S. G. H., Philander, 1981, Parameterization of vertical mixing in numerical models of tropical oceans, J. Phys. Oceanogr., 11, 1443–1451.
Paulson, C. A. and J. J., Simpson, 1977, Irradiance measurements in the upper ocean. J. Phys. Oceanogr., 7, 952–956.
Pavia, E. G. and J. J., O'Brien, 1986, Weibull statistics of wind speed over the ocean, J. Clim. Appl. Oceanogr. 25, 324–332.
Peacock, S. and M. E., Maltrud, 2006, Transit-time distributions in a global ocean model, J. Phys. Oceanogr., 36, 474–495.
Pedlosky, J. C., 1992, Geophysical Fluid Dynamics, 2nd edn, Berlin: Springer-Verlag.
Preisendorfer, R. W., 1988, Principal Component Analyses in Meteorology and Oceanography, Amsterdam: Elsevier.
Press, W. H., S. A., Teukolsky, W. T., Vetterling, and B. P., Flannery, 2007, Numerical Recipes, 3rd edn, New York: Cambridge University Press.
Price, J. F., 2003, Dimensional analysis of models and data set, Am. J. Phys. 71, 437–447.
Price, J. F. and M., Baringer, 1994, Outflows and deep water production by marginal seas, Prog. Oceanogr., 33, 161–200.
Price, J. F., R. A., Weller and R., Pinkel, 1986, Diurnal cycling: observations and models of the upper ocean response to diurnal heating, cooling and wind mixing, J. Geophys. Res., 91, 8411–8427.
Priestley, M. B., 1981, Spectral Analysis and Time Series, New York: Academic Press.
Primeau, F., 2005, Characterizing transport between the surface mixed layer and the ocean interior with a forward and adjoint global ocean transport model, J. Phys. Oceanogr., 35(4), 545–564.
Qiu, B. and R. X., Huang, 1995, Ventilation of the North Atlantic and North Pacific: subduction versus obduction, J. Phys. Oceanogr., 25, 2374–2390.
Ralph, E. A. and P. P., Niiler, 1999, Wind-driven currents in the tropical Pacific, J. Phys. Oceanogr., 29, 2121–2129.
Record, N. R., A. J., Pershing, J. A., Rungeet al., 2010, Improving ecological forecasts of copepod community dynamics using genetic algorithms, J. Mar. Syst., 82(3), 96–110.
Redi, M. H., 1982, Oceanic isopycnal mixing by coordinate rotation, J. Phys. Oceanogr., 12, 1154–1158.
Reed, B. C., 1992, Linear least-squares fits with errors in both coordinates. II: Comments on parameter variances, Am. J. Phys., 60, 59–62.
Reynolds, R. W., T. M., Smith, C., Liuet al., 2007, Daily high-resolution-blended analyses for sea surface temperature, J. Clim., 20, 5473–5496.
Richman, M. B., 1985, Rotation of principal components. J. Climatol., 6, 293–335.
Roache, P. J., 1972, On artificial viscosity, J. Comput. Phys., 10 (2), 169–184.
Roache, P. J., 1998, Fundamentals of Computational Fluid Dynamics, Albuquerque, NM: Hermosa Publishers.
Rood, R. B., 1987, Numerical algorithms and their role in atmospheric transport and chemistry problems, Rev. Geophys., 25 (1) 71–100.
Roughgarden, J., 1998, Primer of Ecological Theory, Upper Saddle River, NJ: Prentice Hall.
Ruth, C., Well, R. and Roether, W., 2000. Primordial 3He in South Atlantic deep waters from souces on the Mid-Atlantic Ridge. Deep-Sea Res. I, 47, 1059–1075.
Sarmiento, J. L. and N., Gruber, 2006, Ocean Biogeochemical Dynamics, Princeton, NJ: Princeton University Press.
Sarmiento, J. L., H. W., Feely, W. S., Moore, A. E., Bainbridge, and W. S., Broecker, 1976, The relationship between vertical eddy diffusion and buoyancy gradient in the deep sea, Earth Planet. Sci. Lett., 32, 357–370.
Schey, H. M., 2005, Div, Grad, Curl, and All That: An Informal Text on Vector Calculus, 4th edn, New York: W. W. Norton.
Schlitzer, R., 2002, Carbon export fluxes in the Southern Ocean: Results from inverse modeling and comparison with satellite based estimates, Deep-Sea Res. II, 49, 1623–1644.
Schöter, J. and C., Wunsch, 1986, Solution of nonlinear finite difference ocean models by optimization methods with sensitivity and observational strategy analysis, J. Phys. Oceanogr., 16(11), 1855–1874.
Shampine, L. F. and M. W., Reichelt, 1997, The MATLAB ODE Suite, SIAM J. Sci. Comput., 18, 1–22.
Shulenberger, E. and J. L., Reid 1981, Deep-Sea Res. A, 28, 901–920.
Simmons, H. L., S. R., Jayne, L. C., St Laurent, and A. J., Weaver, 2004, Tidally driven mixing in a numerical model of the ocean general circulation, Ocean Modelling, 6, 245–263.
Skiena, S. S., 2008, The Algorithm Design Manual, 2nd edn, London: Springer-Verlag.
Smagorinsky, J., 1963, General circulation experiments with the primitive equations: I. The basic experiment, Mon. Wea. Rev., 91, 99–164.
Smagorinsky, J., 1993, Some historical remarks on the use of nonlinear viscosities. In Large Eddy Simulation of Complex Engineering and Geophysical Flows, ed. B., Galperin and S. A., Orszag. Cambridge: Cambridge University Press.
Smith, R. D., M. E., MaltrudF. O., Bryan, and M. W., Hecht, 2000, Numerical simulation of the North Atlantic Ocean at 1/10°, J. Phys. Oceanogr., 30, 1532–1561.
Smith, W. H. F. and P., Wessel, 1990: Gridding with continuous curvature splines, Geophysics, 55, 293–305.
Spall, J. C., 2003, Introduction to Stochastic Search and Optimization, Wiley Inter-Science Series in Discrete Mathematics and Optimization, Hoboken, NJ: Wiley.
Speer, K. and E., Tziperman, 1992, Rates of water mass formation in the North Atlantic Ocean, J. Phys. Oceanogr., 22, 93–104.
Stammer, D., 1997, Global characteristics of ocean variability estimated from regional TOPEX/POSEIDON altimeter measurements, J. Phys. Oceanogr., 27, 1743–1769.
Stammer, D., K., Ueyoshi, A., Kohlet al., 2004, Estimating air-sea fluxes of heat, freshwater, and momentum through global ocean data assimilation, J. Geophys. Res. Oceans, 109, C05023.
Stanley, R. H. R., 2007, A determination of air-sea gas exchange processes and upper ocean biological production from five noble gases and tritiugenic helium-3. Unpublished Ph. D. thesis, MIT–WHOI Joint Program in Chemical Oceanography, Woods Hole, MA.
Stanley, R. H. R., W. J., Jenkins, and S., Doney, 2006, Quantifying seasonal air-sea gas exchange processes using a noble gas time-series: a design experiment, J. Mar. Res., 64, 267–295.
Stanley, R. H. R., W. J., Jenkins, D. E., Lott III, and S. C., Doney, 2009, Noble gas constraints on air-sea gas exchange and bubble fluxes, J. Geophys. Res. Ocean, 114, C11020, doi:10.1029/2009JC005396.
Stoer, J. and R., Bulirsch, 2002, Introduction to Numerical Analysis, 3rd edn, New York: Springer.
Stokes, G. G., 1922, On the effect of the internal friction of fluids on the motion of pendulums. In Mathematical and Physical Papers, reprinted from the Transactions of the Cambridge Philosophical Society, 1850, Vol. IX. p. [8], Cambridge University Press, pp. 1–141.
Stommel, H., 1948, The westward intensification of wind-driven ocean currents. EOS Trans. AGU, 29, 202–206.
Storkey, D., E. W., Blockley, R., Furneret al., 2010, Forecasting the ocean state using NEMO: The new FOAM system, J. Operational Oceanogr., 3, 3–15.
Stow, C. A., J., JolliffD. J., McGillicuddy Jr.et al., 2009, Skill assessment for coupled biological/physical models of marine systems, J. Mar. Syst., 76, 4–15, doi:10.1016/j.jmarsys.2008.03.011.
Strang, G., 1986, Introduction to Applied Mathematics, Wellesley, MA: Wellesley-Cambridge Press.
Strang, G., 2005, Linear Algebra and its Applications, 4th edn, Pacific Grove, CA: Brooks Cole.
Strang, G. and T., Nguyen, 1997, Wavelets and Filter Banks, Wellesley, MA: Wellesley-Cambridge Press.
Stull, R. B., 1988, An Introduction to Boundary Layer Meteorology, Boston, MA: Kluwer: Academic.
Stumm, W. and J. J., Morgan, 1996, Aquatic Chemistry, 3rd edn, New York: Wiley-Interscience.
Sundermeyer, M. A. and J. F., Price, 1998, Lateral mixing in the North Atlantic Tracer Release Experiment: observations and numerical simulations of Lagrangian particles and a passive tracer, J. Geophys. Res., 103, 21481–21497.
Taylor, B., 1715, Methodus incrementorum directa et inversa (Direct and Indirect Methods of Incrementation), reprinted by Gale ECCO (2010), (Latin Edition).
Taylor, K. E., 2001, Summarizing multiple aspects of model performance in a single diagram, J. Geophys. Res., 106, 7183–7192.
Tennekes, H. and J. L., Lumley, 1972, A First Course in Turbulence. Cambridge, MA: MIT Press.
Thomas, G. B. Jr., M. D., Weir, and J. R., Hass, 2009, Thomas' Calculus, 12th edn, Reading, MA: Addison-Wesley.
Thurstone, L. L., 1935, The Vectors of the Mind, Chicago, IL: University of Chicago Press.
Tomczak, M. and D. G. B., Large, 1989, Optimum multiparameter analysis of mixing in the thermocline of the Eastern Indian Ocean. J. Geophys. Res., 94, 16141–16149.
Torrence, C. and G. P., Compo, 1998, A practical guide to wavelet analysis, Bull. Am. Met. Soc., 79(1), 61–78.
Tufte, E. R., 1990, Envisioning Information, Cheshire, CT: Graphics Press.
Tufte, E. R., 1997, Visual Explanations, Cheshire, CT: Graphics Press.
Tufte, E. R., 2001, The Visual Display of Quantitative Information, 2nd edn, Cheshire, CT: Graphics Press.
Tufte, E. R., 2006, Beautiful Evidence, Cheshire CT: Graphics Press.
Uttal, T., J. A., CurryM. G., McPheeet al., 2002, Surface heat budget of the Arctic Ocean, Bull. Am. Met. Soc., 83, 255–275.
van der Pol, B. and J., van der Mark, 1927, Frequency demultiplication, Nature, 120, 363–364.
Venkataraman, P., 2002, Applied Optimization with MATLAB Programming, New York: Wiley Interscience.
Veronis, G., 1975, The role of models in tracer studies. In Numerical Models of Ocean Circulation, Washington, DC: National Academy of Sciences, pp. 133–146.
Veronis, G., 1977, Use of tracers in circulation studies. In The Sea, Volume 6, Marine Modeling, ed. E. D., GoldbergI. N., McCave, J. J., O'Brien, and J. H., Steele. New York: Wiley-Interscience, pp. 169–188.
Vinogradov, S. V., R. M., Ponte, P., Heimbach, and C., Wunsch, 2008, The mean seasonal cycle in sea level estimated from a data-constrained general circulation model, J. Geophys. Res., 113, C03032, doi:10.1029/2007JC004496.
Volterra, V., 1926, Variazionie fluttuazioni del numero d'individui in specie animali conviventi. Mem. Acad. Lincei., 2, 31–113. (Variations and fluctuations of a number of individuals in animal species living together. Translation in: R. N. Chapman, 1931, Animal Ecology, New York: McGraw Hill, pp. 409–448.)
Wanninkhof, R., 1992, Relationship between wind speed and gas exchange over the ocean. J. Geophys. Res., 97, 7373–7382.
Wanninkhof, R. and S. C., Doney, 2005, Cruise Report CLIVAR A16S 2005, http://www.aoml.noaa.gov/ocd/gcc/a16s/
Wanninkhof, R. and W. R., McGillis, 1999, A cubic relationship between air-sea CO2 exchange and wind speed, Geophys. Res. Lett., 26(13), 1889–1892.
Ward, B. A., M. A. M., Friedrichs, T. R., Anderson and A., Oschlies, 2010, Parameter optimisation techniques and the problem of underdetermination in marine biogeochemical models, J. Mar. Syst., 81(1–2), 34–43.
Waugh, D. W., T. M., Hall, and T. W. N., Haine, 2003, Relationships among tracer ages, J. Geophys. Res., 108(C5), 3138, doi:10.1029/2002JC001325.
Waugh, D. W., T. W. N., Haine, and T. M., Hall, 2004, Transport times and anthropogenic carbon in the subpolar North Atlantic Ocean, Deep-Sea Res. I, 51, 1475–1491.
Weatherly, J. W., B. P., Briegleb, W. G., Large, and J. A., Maslanik, 1998, Sea ice and polar climate in the NCAR CSM, J. Clim, 11, 1472–1486.
Welty, J. R., C. E., Wicks, R. E., Wilson, and G. L., Rorrer, 2007, Fundamentals of Momentum, Heat and Mass Transfer, 5th edn, Hoboken, NJ: Wiley.
Wijffels, S. E., R. W., SchmittH. L., Bryden, and A., Stigebrandt, 1992, Transport of freshwater by the oceans, J. Phys. Oceanogr., 22, 155–162.
Willis, J. K. and L. L., Fu, 2008, Combining altimeter and subsurface float data to estimate the time-averaged circulation in the upper ocean, J. Geophys. Res. Oceans, 113, C12017.
Willis, J. K., D., Roemmich, and B., Cornuelle, 2004, Interannual variability in upper ocean heat content, temperature, and thermosteric expansion on global scales, J. Geophys. Res. Oceans, 109, C12036.
Wunsch, C., 1996, The Ocean Circulation Inverse Problem, New York: Cambridge University Press.
Wunsch, C., P., Heimbach, R., Ponte, and I., Fukumori, 2009, The global general circulation of the ocean estimated by the ECCO-consortium, Oceanography, 22, 88–103.
York, D., 1966, Least-squares fitting of straight lines, Canad. J. Phys., 44, 1079–1086.
York, D., 1969, Least squares fitting of a straight line with correlated errors, Earth Planet. Sci. Lett., 5, 320–324.
York, D., N. M., EvensenM. L., Martinez, and J. D. B., Delgado, 2004, Unified equations for the slope, intercept, and standard errors of the best straight line, Am. J. Phys., 72, 367–375.
Young, W. R., P. B., Rhines, and C. J. R., Garrett, 1982, Shear-flow dispersion, internal waves and horizontal mixing in the ocean, J. Phys. Oceanogr., 12, 515–527.
Zwillinger, D., 2002, CRC Standard Mathematical Tables and Formulae, 31st edn, Boca Raton, FL: Chapman & Hall/CRC.

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