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A Nonlinear Multi-proxy Model Based on Manifold Learning to Reconstruct Water Temperature from High Resolution Trace Element Profiles in Biogenic Carbonates : Volume 3, Issue 3 (22/07/2010)

By Bauwens, M.

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Book Id: WPLBN0003990658
Format Type: PDF Article :
File Size: Pages 34
Reproduction Date: 2015

Title: A Nonlinear Multi-proxy Model Based on Manifold Learning to Reconstruct Water Temperature from High Resolution Trace Element Profiles in Biogenic Carbonates : Volume 3, Issue 3 (22/07/2010)  
Author: Bauwens, M.
Volume: Vol. 3, Issue 3
Language: English
Subject: Science, Geoscientific, Model
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Historic
Publication Date:
2010
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Beelaerts, V., Barbé, K., Schoukens, J., Ohlsson, H., Dehairs, F., & Bauwens, M. (2010). A Nonlinear Multi-proxy Model Based on Manifold Learning to Reconstruct Water Temperature from High Resolution Trace Element Profiles in Biogenic Carbonates : Volume 3, Issue 3 (22/07/2010). Retrieved from http://kindle.worldlibrary.net/


Description
Description: Earth System Sciences & Department of Analytical and Environmental Chemistry, Vrije Universiteit Brussel, Elsene, Belgium. A long standing problem in paleoceanography concerns the reconstruction of water temperature from Δ18O carbonate, which for freshwater influenced environments is hindered because the isotopic composition of the ambient water (related to salinity) affects the reconstructed temperature. In this paper we argue for the use of a nonlinear multi-proxy method called Weight Determination by Manifold Regularization to develop a temperature reconstruction model that is less sensitive to salinity variations. The motivation for using this type of model is twofold: Firstly, observed nonlinear relations between specific proxies and water temperature motivate the use of nonlinear models. Secondly, the use of multi-proxy models enables salinity related variations of a given temperature proxy to be explained by salinity-related information carried by a separate proxy. Our findings confirm that Mg/Ca is a powerful paleothermometer and highlight that reconstruction performance based on this proxy is improved significantly by combining its information with the information of other trace elements in multi-proxy models. Using Mg/Ca, Sr/Ca, Ba/Ca and Pb/Ca the WDMR model enabled a temperature reconstruction with a root mean squared error of ±2.19 °C for a salinity range between 15 and 32.

Summary
A nonlinear multi-proxy model based on manifold learning to reconstruct water temperature from high resolution trace element profiles in biogenic carbonates

Excerpt
Gillikin, D. P., Lorrain, A., Bouillon, S., Willenz, P., and Dehairs, F.: Stable carbon isotopic composition of mytilus edulis shells: Relation to metabolism, salinity, δ13C(dic) and phytoplankton, Org. Geochem., 37, 1371–1382, doi:10.1016/j.orggeochem.2006.03.008, 2006b.; Gillikin, D. P., Lorrain, A., Paulet, Y. M., Andre, L., and Dehairs, F.: Synchronous barium peaks in high-resolution profiles of calcite and aragonite marine bivalve shells, Geo-Mar. Lett., 28, 351–358, doi:10.1007/s00367-008-0111-9, 2008.; Gillikin, D. P., Goodwin, D. H., and Dehairs, F.: Using mollusk shell shutdown temperature to constrain oxygen isotopes of water, Geological Society of America Annual Meeting, Portland, Oregon, 2009.; Guiot, J., Nicault, A., Rathgeber, C., Edouard, J. L., Guibal, F., Pichard, G., and Till, C.: Last-millennium summer-temperature variations in western europe based on proxy data, The Holocene, 489–500, doi:10.1191/0959683605hl819rp., 2005.; Izenman, A. J.: Modern multivariate statistical techniques: Regression, classification, and manifold learning, edited by: Casella, G., Fienberg, S., and Olkin, I., Springer Texts in Statistics, New York, 2008.; Juillet-Leclerc, A., Thiria, S., Naveau, P., Delcroix, T., Le Bec, N., Blamart, D., and Corrège, T.: Spcz migration and enso events during the 20th century as revealed by climate proxies from a fiji coral, Geophys. Res. Lett., 33, L17710, doi:10.1029/2006GL025950, 2006.; Klein, R. T., Lohmann, K. C., and Thayer, C. W.: Sr/ca and c-13/c-12 ratios in skeletal calcite of mytilus trossulus: Covariation with metabolic rate, salinity, and carbon isotopic composition of seawater, Geochim. Cosmochim. Ac., 60, 4207–4221, 1996a.; Klein, R. T., Lohmann, K. C., and Thayer, C. W.: Bivalve skeletons record sea-surface temperature and δ18O via mg/ca and δ18O/$\delta^{16}$O ratios, Geology, 24, 415–418, 1996b.; Klunder, M. H., Hippler, D., Witbaard, R., and Frei, D.: Laser ablation analysis of bivalve shells – archives of environmental information, Geol. Surv. Den. Greenl., 89–92, 2008.; Lazareth, C. E., Vander Putten, E., Andre, L., and Dehairs, F.: High-resolution trace element profiles in shells of the mangrove bivalve isognomon ephippium: A record of environmental spatio-temporal variations?, Estuar. Coast. Shelf S., 57, 1103–1114, doi:10.1016/s0272-7714(03)00013-1, 2003.; Lorrain, A., Gillikin, D. P., Paulet, Y. M., Chauvaud, L., Le Mercier, A., Navez, J., and Andre, L.: Strong kinetic effects on sr/ca ratios in the calcitic bivalve pecten maximus, Geology, 33, 965–968, doi:10.1130/g22048.1, 2005.; Ohlsson, H., Roll, J., and Ljung, L.: Regression with manifold-valued data, 47st IEEE Conference on Decision and Control, Cancun, Mexico, 4–9 Decembere 2008, 2009.; Ohlsson, H., Bauwens, M., and Ljung, L.: On manifolds, climate reconstruction and bivalve shells, 48th IEEE Conference on Decision and Control, Shanghai, China, 16–18 December 2009.; Oomori, T., Kaneshima, H., Maezato, Y., and Kitano, Y.: Distribution coefficient of mg2+ ions between calcite and solution at 10–50 °C, Mar. Chem., 20, 327–336, doi:10.1016/0304-4203(87)90066-1, 1987.; Paillard, D., Labeyrie, L., and Yiou , P.: Macintosh program performs time-series analysis, EOS T. Am. Geophys. Un., 77, p. 379, 1996.; Pearce, N. J. G. and Mann, V. L.: Trace metal variations in the shells of ensis siliqua record pollution and environmental conditions in the sea to the west of mainland britain, Mar. Pollut. Bull., 52, 739–755, doi:10.1016/j.marpolbul.2005.11.003, 2006.; Ragland, P. C., Pilkey, O. H., and Blackwelder, B. W.: Diagenetic changes in the elemental composition of unrecrystallized mollusk shells, Chem. Geol., 25, 123–134, doi:10.1016/0009-2541(79)90088-3, 1979.; Richardson, C. A.: Molluscs as archives of environmental change, Oceanogr. Mar. Biol., 39, 103–164, 2001.; Richardson, C. A., Peharda, M., Kennedy, H., Kennedy, P., and Ono

 

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