Time Series Reconstruction from Unequally Spaced Natural Archive Data

Mathematical Geosciences

Volumn 44, Issue 3, 2012, Pages 283-307

  Beelaerts, Veerle ^a   Bauwens, Maite ^a   Pintelon, Rik ^a  

^a VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

Author keywords

Averaging; Environmental archive; Harmonic signal model; Natural archive; Time series

Indexed keywords

ARCHIVE DATA; AVERAGING; AVERAGING EFFECT; COASTAL REGIONS; CONSTRUCTION METHOD; EFFICIENT ESTIMATOR; ENVIRONMENTAL ARCHIVE; ENVIRONMENTAL CONDITIONS; ENVIRONMENTAL INFORMATION; HARMONIC SIGNAL MODEL; MANGROVE TREE; MONTE CARLO SIMULATION; NATURAL ARCHIVE; NATURAL SUBSTRATES; NONPARAMETRIC METHODS; PARAMETRIC METHOD; PROXY RECORDS; STATISTICAL PERFORMANCE; SYNTHETIC DATA; TIME SERIES MODELS; TIME SERIES RECONSTRUCTION;

COASTAL ZONES; ERRORS; FOURIER SERIES; MONTE CARLO METHODS; SUBSTRATES;

TIME SERIES;

ENVIRONMENTAL CONDITIONS; ERROR ANALYSIS; FOURIER TRANSFORM; HARMONIC ANALYSIS; MANGROVE; MONTE CARLO ANALYSIS; PARAMETERIZATION; PROXY CLIMATE RECORD; RAINFALL; RECONSTRUCTION; REGRESSION ANALYSIS; TIME SERIES ANALYSIS;

EID: 84859105500     PISSN: 18748961     EISSN: 18748953     Source Type: Journal    
DOI: 10.1007/s11004-012-9385-6     Document Type: Article

References (31)

1. Arruda JRF (1992) Analysis of nonequally spaced data using a regressive discrete Fourier-series. J Sound Vib 156(3): 571-574.
2. Beelaerts V, De Ridder F, Schmitz N, Bauwens M, Dehairs F, Schoukens J, Pintelon R (2009) On the elimination of bias averaging-errors in proxy records. Math Geosci 41(2): 129-144.
3. Beelaerts V, De Ridder F, Schmitz N, Bauwens M, Pintelon R (2010) Time-series reconstruction from natural archive data with the averaging effect taken into account. Math Geosci 42(6): 705-722.
4. Borremans C, Hermans J, Baillon S, Andre L, Dubois P (2009) Salinity effects on the Mg/Ca and Sr/Ca in starfish skeletons and the echinoderm relevance for paleoenvironmental reconstructions. Geology 37(4): 351-354.
5. Briffa KR, Bartholin TS, Eckstein D, Jones PD, Karlen W, Schweingruber FH, Zetterberg P (1990) A 1400-year tree-ring record of summer temperatures in Fennoscandia. Nature 346(6283): 434-439.
6. de Brauwere A, De Ridder F, Pintelon R, Meersmans J, Schoukens J, Dehairs F (2008) Identification of a periodic time series from an environmental proxy record. Comput Geosci 34(12): 1781-1790.
7. de Brauwere A, De Ridder F, Pintelon R, Schoukens J, Dehairs F (2009) A comparative study of methods to reconstruct a periodic time series from an environmental proxy record. Earth Sci Rev 95(3-4): 97-118.
8. De Ridder F, Pintelon R, Schoukens J, Gillikin DP (2005) Modified AIC and MDL model selection criteria for short data records. IEEE Trans Instrum Meas 54(1): 144-150.
9. Dierckx P (1993) Curve and surface fitting with splines. Oxford University Press, Oxford, 304 pp.
10. EPICA (2004) Eight glacial cycles from an Antarctic ice core. Nature 429(6992): 623-628.
11. Fells T, Lohmann G, Kuhnert H, Lorenz SJ, Scholz D, Patzold J, Al-Rousan SA, Al-Moghrabl SM (2004) Increased seasonality in Middle East temperatures during the last interglacial period. Nature 429(6988): 164-168.
12. Fleitmann D, Burns SJ, Neff U, Mudelsee M, Mangini A, Matter A (2004) Palaeoclimatic interpretation of high-resolution oxygen isotope profiles derived from annually laminated speleothems from southern Oman. Quat Sci Rev 23(7-8): 935-945.
13. Fletcher R (1991) Practical methods of optimization. Wiley, New York, 450 pp.
14. Gillikin DP, De Ridder F, Ulens H, Elskens M, Keppens E, Baeyens W, Dehairs F (2005) Assessing the reproducibility and reliability of estuarine bivalve shells (Saxidomus giganteus) for sea surface temperature reconstruction: Implications for paleoclimate studies. Palaeogeogr Palaeoclimatol Palaeoecol 228(1-2): 70-85.
15. Golub G, van Loan C (1996) Matrix computations. John Hopkins University Press, Baltimore, 694 pp.
16. Goodwin DH, Schöne BR, Dettman DL (2003) Resolution and fidelity of oxygen isotopes as paleotemperature proxies in bivalve mollusk shells: Models and observations. Palaios 18(2): 110-125.
17. Graumlich LJ (1993) A 1000-year record of temperature and precipitation in the Sierra Nevada. Quat Res 39(2): 249-255.
18. Huang SP, Pollack HN, Shen PY (2000) Temperature trends ever the past five centuries reconstructed from borehole temperatures. Nature 403(6771): 756-758.
19. Jouzel J, Alley RB, Cuffey KM, Dansgaard W, Grootes P, Hoffmann G, Johnsen SJ, Koster RD, Peel D, Shuman CA, Stievenard M, Stuiver M, White J (1997) Validity of the temperature reconstruction from water isotopes in ice cores. J Geophys Res-Oceans 102(C12): 26471-26487.
20. Kuhnert H, Patzold J, Schnetger B, Wefer G (2002) Sea-surface temperature variability in the 16th century at Bermuda inferred from coral records. Palaeogeogr Palaeoclimatol Palaeoecol 179(3-4): 159-171.
21. Lazareth CE, Willenz P, Navez J, Keppens E, Dehairs F, Andre L (2000) Sclerosponges as a new potential recorder of environmental changes: Lead in Ceratoporella nicholsoni. Geology 28(6): 515-518.
22. Lazareth CE, Vander Putten E, Andre L, Dehairs F (2003) High-resolution trace element profiles in shells of the mangrove bivalve Isognomon ephippium: A record of environmental spatio-temporal variations? Estuar Coast Shelf Sci 57(5-6): 1103-1114.
23. Lüterbacher J, Xoplaki E, Dietrich D, Rickli R, Jacobeit J, Beck C, Gyalistras D, Schmutz C, Wanner H (2002) Reconstruction of sea level pressure fields over the eastern North Atlantic and Europe back to 1500. Clim Dyn 18(7): 545-561.
24. Martin RJ (1997) An introduction to Shannon sampling and interpolation theory, with generalizations to nonuniform sampling. GEC J Technol 14(1): 19-26.
25. Martinson DG, Menke W, Stoffa P (1982) An inverse approach to signal correlation. J Geophys Res 87(6): 4807-4818.
26. Pintelon R, Schoukens J (2001) System identification: A frequency domain approach. IEEE Press, Piscataway.
27. Sinclair DJ, Kinsley LPJ, McCulloch MT (1998) High resolution analysis of trace elements in corals by laser ablation ICP-MS. Geochim Cosmochim Acta 62(11): 1889-1901.
28. Vanherzeele J, Vanlanduit S, Guillaume P (2008) Reducing spatial data using an optimized regressive discrete Fourier series. J Sound Vib 309(3-5): 858-867.
29. Wang YJ, Cheng H, Edwards RL, Kong XG, Shao XH, Chen ST, Wu JY, Jiang XY, Wang XF, An ZS (2008) Millennial- and orbital-scale changes in the east Asian monsoon over the past 224, 000 years. Nature 451(7182): 1090-1093.
30. Weedon GP (1989) The detection and illustration of regular sedimentary cycles using walsh power spectra and filtering, with examples from the lias of Switzerland. J Geol Soc 146: 133-144.
31. Wilkinson BH, Ivany LC (2002) Paleoclimatic inference from stable isotope profiles of accretionary biogenic hardparts-A quantitative approach to the evaluation of incomplete data. Palaeogeogr Palaeoclimatol Palaeoecol 185(1-2): 95-114.