A Bayesian hierarchical model for reconstructing relative sea level: From raw data to rates of change

Climate of the Past

Volumn 12, Issue 2, 2016, Pages 525-542

  Cahill, Niamh ^a,b   Kemp, Andrew C ^c   Horton, Benjamin P ^d,e   Parnell, Andrew C ^a  

^a UNIVERSITY COLLEGE DUBLIN   (Ireland)

^b UNIVERSITY OF MASSACHUSETTS   (United States)

^c TUFTS UNIVERSITY   (United States)

^d USA   (United States)

^e NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

BAYESIAN ANALYSIS; BIOINDICATOR; CALIBRATION; PALEOENVIRONMENT; PROXY CLIMATE RECORD; RECONSTRUCTION; SALTMARSH; SEA LEVEL CHANGE; TIDAL CYCLE;

ATLANTIC COAST [NORTH AMERICA]; ATLANTIC COAST [UNITED STATES]; NEW JERSEY; UNITED STATES;

FORAMINIFERA;

EID: 84959359150     PISSN: 18149324     EISSN: 18149332     Source Type: Journal    
DOI: 10.5194/cp-12-525-2016     Document Type: Article

References (69)

1. Barlow, N. L. M., Long, A. J., Saher, M. H., Gehrels, W. R., Garnett, M. H., and Scaife, R. G.: Salt-marsh reconstructions of relative sea-level change in the North Atlantic during the last 2000 years, Quaternary Sci. Rev., 99, 1-16, 2014.
2. Birks, H. J.: Overview of numerical methods in palaeolimnology, in: Tracking Environmental Change Using Lake Sediments: Data Handling and Numerical Techniques, edited by: Birks, H., Lotter, A., Juggins, S., and Smol, J., vol. 5 of Tracking environmental change using lake sediments, book section 2, Springer, 2012.
3. Birks, H. J. B.: Quantitative Palaeoenvironmental Reconstructions, in: Statistical Modelling of Quaternary Science Data, edited by: Maddy, D. and Brew, J. S., vol. Technical Guide 5 of Technical Guide, 161-254, Quaternary Research Association, Cambridge, 1995.
4. Birks, H. J. B., Line, J. M., Juggins, S., Stevenson, A. C., and ter Braak, C. J. F.: Diatoms and pH Reconstruction, Philos. T. Roy. Soc. B, 327, 263-278, 1990.
5. Birks, J.: Calibration, Transfer Functions and Environmental Reconstructions, in: PAGES, 2010.
6. Blaauw, M. and Christen, J. A.: Flexible paleoclimate age-depth models using an autoregressive gamma process, Bayesian Anal., 457-474, 2011.
7. Bradley, R. S.: Chapter 1-Paleoclimatic Reconstruction, in: Paleoclimatology (Third Edition), edited by: Bradley, R. S., 1-11, Academic Press, San Diego, third edition edn., 2015.
8. Bronk Ramsey, C.: Radiocarbon Dating: Revolutions in Understanding, Archaeometry, 50, 249-275, 2008.
9. Cahill, N., Kemp, A. C., Horton, B. P., and Parnell, A. C.: Modeling Sea-Level Change using Errors-in-Variables Integrated Gaussian Processes, Ann. Appl. Stat., 9, 547-571, 2015.
10. Charman, D. J., Gehrels, W. R., Manning, C., and Sharma, C.: Reconstruction of recent sea-level change using testate amoebae, Quaternary Res., 73, 208-219, 2010.
11. De Boor, C.: A Practical Guide to Splines, Springer, 1978.
12. de Rijk, S.: Salinity control on the distribution of salt marsh foraminifera (Great Marshes, Massachusetts), J. Foramin. Res., 25, 156-166, 1995.
13. Dey, D. K., Ghosh, S. K., and Mallick, B. K.: Generalized Linear Models A Bayesian Perspective, Marcel Dekker, Inc, 2000.
14. Dierckx, P.: Curve and Surface Fitting with Splines, Clarendon Press, Oxford, 1993.
15. Douglas, B. C.: Global sea level rise, J. Geophys. Res.-Oceans, 96, 6981-6992, 1991.
16. Dutton, A., Carlson, A. E., Long, A. J., Milne, G. A., Clark, P. U., DeConto, R., Horton, B. P., Rahmstorf, S., and Raymo, M. E.: Sea-level rise due to polar ice-sheet mass loss during past warm periods, Science, 349, 4019, 2015.
17. Edwards, R. and Wright, A. J.: Foraminifera, in: Handbook of Sea-Level Research, edited by: Shennan, I., Long, A. J., and Horton, B. P., book section 13, 191-217, John Wiley & Sons, 2015.
18. Edwards, R. J. and Horton, B. P.: Developing detailed records of relative sea-level change using a foraminiferal transfer function: An example from North Norfolk, UK, Philos. T. Roy. Soc. A, 364, 973-991, 2006.
19. Edwards, R. J., Wright, A. J., and van de Plassche, O.: Surface distributions of salt-marsh foraminifera from Connecticut, USA: modern analogues for high-resolution sea level studies, Mar. Micropaleontol., 51, 1-21, 2004.
20. Fritz, S. C., Juggins, S., Battarbee, R.W., and Engstrom, D.: Reconstruction of past changes in salinity and climate using a diatombased transfer function, Nature, 352, 706-708, 1991.
21. Gehrels, W. R.: Determining Relative Sea-Level Change from Salt-Marsh Foraminifera and Plant Zones on the Coast of Maine, USA, J. Coast. Res., 10, 990-1009, 1994.
22. Gehrels, W. R.: Using foraminiferal transfer functions to produce high-resolution sea-level records from salt-marsh deposits, Maine, USA, Holocene, 10, 367-376, 2000.
23. Gneiting, T. and Raftery, A. E.: Strictly Proper Scoring Rules, Prediction, and Estimation, J. Am. Stat. Assoc., 102, 359-378, 2007.
24. Greig-Smith, P.: Correlation with Habitat Factors, in: Quantitative Plant Ecology, edited by: Anderson, D. J., Greig-Smith, P., and Pitelka, F. A., book section 5, 129-145, University of California Press, Berkeley and Los Angeles, 1983.
25. Haslett, J. and Parnell, A. C.: A simple monotone process with application to radiocarbon-dated depth chronologies, J. Roy. Stat. Soc. C-App., 57, 399-418, 2008.
26. Haslett, J., Whiley, M., Bhattacharya, S., Salter-Townshend, M., Wilson, S. P., Allen, J. R. M., Huntley, B., and Mitchell, F. J. G.: Bayesian palaeoclimate reconstruction, J. Roy. Stat. Soc. A-Sta., 169, 395-438, 2006.
27. Holsclaw, T., Sanso, B., Lee, H. K. H., Heitmann, K., Habib, S., Higdon, D., and Alam, U.: Gaussian Process Modeling of Derivative Curves, Technometrics, 55, 57-67, 2013.
28. Horton, B. P. and Edwards, R. J.: The application of local and regional transfer functions to the reconstruction of Holocene sea levels, north Norfolk, England, Holocene, 15, 216-228, 2005.
29. Horton, B. P. and Edwards, R. J.: Quantifying Holocene sea-level change using intertidal foraminifera: lessons from the British Isles, Cushman Foundation for Foraminiferal Research, Special Publication, 40, 97, 2006.
30. Horton, B. P., Edwards, R. J., and Lloyd, J. M.: UK intertidal foraminiferal distributions: implications for sea-level studies, Mar. Micropaleontol., 36, 205-223, 1999.
31. Imbrie, J. and Kipp, N. G.: A new micropalaeontological method for quantitative paleoclimatology: Application to a late Pleistocene Caribbean core, in: The Late Cenozoic Glacial Ages, edited by: Turekian, K. K., 71-181, Yale University Press, New Haven and London, 1971.
32. Jackson, S. T. and Williams, J. W.: Modern analogs in Quaternary paleoecology: Here today, gone yesterday, gone tomorrow?, Annu. Rev. Earth Planet. Sci., 32, 495-537, 2004.
33. Juggins, S. and Birks, H. J.: Quantiative Environmental Reconstructions From Biological Data, in: Tracking Environmental Change Using Lake Sediments: Data Handling and Numerical Techniques, edited by: Birks, H., Lotter, A., Juggins, S., and Smol, J., vol. 5 of Tracking environmental change using lake sediments, 431-494, Springer, 2012.
34. Kemp, A. C., Horton, B. P., Corbett, D. R., Culver, S. J., Edwards, R. J., and van de Plassche, O.: The relative utility of foraminifera and diatoms for reconstructing late Holocene sea-level change in North Carolina, USA, Quaternary Res., 71, 9-21, 2009a.
35. Kemp, A. C., Horton, B. P., Culver, S. J., Corbett, D. R., van de Plassche, O., Gehrels, W. R., Douglas, B. C., and Parnell, A. C.: Timing and magnitude of recent accelerated sea-level rise (North Carolina, United States), Geology, 37, 1035-1038, 2009b.
36. Kemp, A. C., Horton, B. P., Donnelly, J. P., Mann, M. E., Vermeer, M., and Rahmstorf, S.: Climate related sea-level variations over the past two millennia, P. Natl. Acad. Sci. USA, 108, 11017-11022, 2011.
37. Kemp, A. C., Vane, C. H., Horton, B. P., Engelhart, S. E., and Nikitina, D.: Application of stable carbon isotopes for reconstructing salt-marsh floral zones and relative sea level, New Jersey, USA, J. Quaternary Sci., 27, 404-414, 2012.
38. Kemp, A. C., Horton, B. P., Vane, C. H., Corbett, D. R., Bernhardt, C. E., Engelhart, S. E., Anisfeld, S. C., Parnell, A. C., and Cahill, N.: Sea-level change during the last 2500 years in New Jersey, USA, Quaternary Sci. Rev., 81, 90-104, 2013a.
39. Kemp, A. C., Telford, R. J., Horton, B. P., Anisfeld, S. C., and Sommerfield, C. K.: Reconstructing Holocene sea-level using saltmarsh foraminifera and transfer functions: lessons from New Jersey, USA, J. Quaternary Sci., 28, 617-629, 2013b.
40. Korsman, T. and Birks, H. J.: Diatom-based water chemistry reconstructions from northern Sweden: A comparison of reconstruction techniques, J. Paleolimnol., 15, 65-77, 1996.
41. Leorri, E., Horton, B. P., and Cearreta, A.: Development of a foraminifera-based transfer function in the Basque marshes, N. Spain: Implications for sea-level studies in the Bay of Biscay, Mar. Geol., 251, 60-74, 2008.
42. Li, B., Nychka, D. W., and Ammann, C. M.: The value of multiproxy reconstruction of past climate, J. Am. Stat. Assoc., 105, 883-895, 2010.
43. Long, A. J., Barlow, N. L. M., Gehrels, W. R., Saher, M. H., Woodworth, P. L., Scaife, R. G., Brain, M. J., and Cahill, N.: Contrasting records of sea-level change in the eastern and western North Atlantic during the last 300 years, Earth Planet. Sci. Lett., 388, 110-122, 2014.
44. Mann, M. E., Zhang, Z., Rutherford, S., Bradley, R. S., Hughes, M. K., Shindell, D., Ammann, C., Faluvegi, G., and Ni, F.: Global Signatures and Dynamical Origins of the Little Ice Age and Medieval Climate Anomaly, Science, 326, 1256-1260, 2009.
45. Murray, J.W.: Ecology and Palaeoecology of Benthic Foraminifera, Elsevier, Amsterdam, 1991.
46. Nelson, A. R.: Coastal sediments, in: Handbook of Sea-Level Research, edited by: Shennan, I., Long, A. J., and Horton, B. P., 47-65, John Wiley & Sons, 2015.
47. Nelson, A. R., Jennings, A. E., and Kashima, K.: An earthquake history derived from stratigraphic and microfossil evidence of relative sea-level change at Coos Bay, southern coastal Oregon, Geol. Soc. Am. Bull., 108, 141-154, 1996.
48. Nelson, A. R., Sawai, Y., Jennings, A. E., Bradley, L., Gerson, L., Sherrod, B. L., Sabean, J., and Horton, B. P.: Great-earthquake paleogeodesy and tsunamis of the past 2000 years at Alsea Bay, central Oregon coast, USA, Quaternary Sci. Rev., 27, 747-768, 2008.
49. Parnell, A. C. and Gehrels, W. R.: Using chronological models in late Holocene sea-level reconstructions from salt marsh sediments, in: Handbook of Sea-Level Research, edited by: Shennan, I., Long, A. J., and Horton, B. P., book section 32, 500-513, John Wiley & Sons, 2015.
50. Parnell, A. C., Buck, C. E., and Doan, T. K.: A review of statistical chronology models for high-resolution, proxy-based Holocene palaeoenvironmental reconstruction, Quaternary Sci. Rev., 30, 2948-2960, 2011.
51. Parnell, A. C., Sweeney, J., Doan, T. K., Salter-Townshend, M., Allen, J. R. M., Huntley, B., and Haslett, J.: Bayesian inference for palaeoclimate with time uncertainty and stochastic volatility, J. Roy. Stat. Soc. C-App., 64, 115-138, 2015.
52. Plater, A. J., Kirby, J. R., Boyle, J. F., Shaw, T., and Mills, H.: Loss on ignition and organic content, in: Handbook of Sea-Level Research, edited by: Shennan, I., Long, A. J., and Horton, B. P., 312-330, John Wiley & Sons, 2015.
53. Plummer, M.: JAGS: A program for analysis of Bayesian graphical models using Gibbs sampling, in: Proceedings of the 3rd International Workshop on Distributed Statistical Computing, 2003.
54. Rasmussen, C. E.: Gaussian Processes for Machine Learning, MIT Press, 2006.
55. Roe, H. M., Charman, D. J., and Gehrels, R.W.: Fossil testate amoebae in coastal deposits in the UK: implications for studies of sealevel change, J. Quaternary Sci., 17, 411-429, 2002.
56. Rymer, L.: The use of uniformitarianism and analogy in palaeoecology, particularly pollen analysis, in: Biology and Quaternary Environments, edited by: Walker, D. and Guppy, J. C., 245-257, Australian Academy of Sciences, Canberra, 1978.
57. Scott, D. B. and Medioli, F. S.: Vertical zonations of marsh foraminifera as accurate indicators of former sea levels, Nature, 272, 528-531, 1978.
58. Shennan, I., Innes, J. B., Long, A. J., and Zong, Y.: Late Devensian and Holocene relative sealevel changes at Loch nan Eala, near Arisaig, northwest Scotland, J. Quaternary Sci., 9, 261-283, 1994.
59. Shennan, I., Rutherford, M. M., Innes, J. B., andWalker, K. J.: Late glacial sea level and ocean margin environmental changes interpreted from biostratigraphic and lithostratigraphic studies of isolation basins in northwest Scotland, Geological Society, London, Special Publications, 111, 229-244, 1996.
60. Steno, N.: Nicolai Stenonis De solido intra solidum naturaliter contento dissertationis prodromus, Ex typographia sub signo stellae, Florentiae, 1669.
61. ter Braak, C. J. and Juggins, S.: Weighted averaging partial least squares regression (WA-PLS): An improved method for reconstructing environmental variables from species assemblages, Hydrobiologia, 269-270, 485-502, 1993.
62. Tingley, M. P., Craigmile, P. F., Haran, M., Li, B., Mannshardt, E., and Rajaratnam, B.: Piecing together the past: statistical insights into paleoclimatic reconstructions, Quaternary Sci. Rev., 35, 1-22, 2012.
63. Toivonen, H. T. T., Mannila, H., Korhola, A., and Olander, H.: Applying bayesian statistics to organism-based environmental reconstruction, Ecol. Appl., 11, 618-630, 2000.
64. Tolwinski-Ward, S., Tingley, M., Evans, M., Hughes, M., and Nychka, D.: Probabilistic reconstructions of local temperature and soil moisture from tree-ring data with potentially time-varying climatic response, Climate Dynamics, 44, 791-806, 2015.
65. Tolwinski-Ward, S. E.: Uncertainty quantification for a climatology of the frequency and spatial distribution of North Atlantic tropical cyclone landfalls, Journal of Advances in Modeling Earth Systems, 7, 305-319, 2015.
66. Tolwinski-Ward, S. E., Anchukaitis, K. J., and Evans, M. N.: Bayesian parameter estimation and interpretation for an intermediate model of tree-ring width, Clim. Past, 9, 1481-1493, doi:10.5194/cp-9-1481-2013, 2013.
67. Vasko, K., Toivonen, H. T., and Korhola, A.: A Bayesian multinomial Gaussian response model for organism-based environmental reconstruction, J. Paleolimnol., 24, 243-250, 2000.
68. Wright, A. J., Edwards, R. J., and van de Plassche, O.: Reassessing transfer-function performance in sea-level reconstruction based on benthic salt-marsh foraminifera from the Atlantic coast of NE North America, Mar. Micropaleontol., 81, 43-62, 2011.
69. Zong, Y. and Horton, B. P.: Diatom-based tidal-level transfer functions as an aid in reconstructing Quaternary history of sea-level movements in the UK, J. Quaternary Sci., 14, 153-167, 1999.