Quantifying nonlinearity and geometry in time series of climate

Quaternary Science Reviews

Volumn 15, Issue 4, 1996, Pages 247-266

  King, T ^a  

^a UNIVERSITY OF RHODE ISLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLIMATE CHANGE; CLIMATE CYCLE; GLACIAL/INTERGLACIAL CYCLE; TIME SERIES;

EID: 0030303477     PISSN: 02773791     EISSN: None     Source Type: Journal    
DOI: 10.1016/0277-3791(95)00060-7     Document Type: Article

References (45)

1. Bendat, J.S. and Piersol, A.G. (1986). Random Data: Analysis and Measurement Procedures. John Wiley and Sons, New York, 566 pp.
2. Berger, A. (1977). Support for the astronomical theory of climatic change. Nature, 269, 44-45.
3. Berger, A., Loutre, M.F. and Laskar, J. (1988). Insolation values for the climate of the last 10 million years. Science Report 1988/13, Institut d'Astronomie et de Geophysique. G. Lemaitre, Universite Catholique de Louvain, Louvain-la-Neuve, Belgium.
4. Bond, G., Broecker, W., Johnsen, S., McManus, J., Labeyrie, L., Jouzel, J. and Bonani, G. (1993). Correlations between climate records from North Atlantic sediments and Greenland ice. Nature, 365, 143-147.
5. Brillinger, D.R. and Rosenblatt, M. (1967). Asymptotic theory of k-th order spectra. In: Harris, B. (ed.), Spectral Analysis of Time Series, pp. 153-188. John Wiley, New York.
6. Clemens, S.C. and Prell, W.L. (1991). Late Quaternary forcing of Indian Ocean summer-monsoon winds: A comparison of fourier model and general circulation model results. Journal of Geophysical Research, 96, 22,683-22,700.
7. Crowley, T.J., Kim, K.-Y., Mengel, J.G. and Short, D.A. (1992). Modeling 100,000 year climate fluctuations in pre-Pleistocene time series, Science, 255, 705-707.
8. Dansgaard, W., Johnsen, S.J., Clausen, H.B., Dahl-Jensen, D., Gundestrup, N.S., Hammer, C.U., Hvidberg, C.S., Steffensen, J.P., Sveinbjornsdottir, A.E. and Bond, G. (1993). Evidence for general instability of past climate from a 250-kyr ice-core record. Nature, 364, 218-220.
9. Elgar, S. (1987). Relationships involving third moments and bispectra of a harmonic process. IEEE Transactions Acoustics Speech Signal Processing, 35, 1725-1726.
10. Elgar, S. and Guza, R.T. (1985). Observations of bispectra of shoaling surface gravity waves. Journal of Fluid Mechanics, 161, 425-448.
11. Feynmann, R.P., Leighton, R.B. and Sands, M. (1963). The Feynmann Lectures on Physics, Vol. 1. Addison-Wesley, Reading, MA.
12. Ghil, M. (1989). Deceptively simple models of climatic change. In: Berger, A. et al. (eds), Climate and Geo-Sciences, pp. 211-240. Kluwer Academic Publishers, Dordrecht.
13. GRIP Members (1993). Climate instability during the last intyerglacial period recorded in the GRIP ice core. Nature, 364, 203-207.
14. Hagelberg, T. King (1993). Variability of late Neogene eastern equatorial Pacific carbonate sedimentation and global ice volume on timescales from 10,000 years to 1 million years. Ph.D. thesis, Oregan State University, Corvallis, 214 pp.
15. Hagelberg, T. King and Cole, J.E. (1995). Determining the role of linear and nonlinear interactions in records of climate change: possible solar influences in annual to century-scale records. In: Isaacs, C.M. and Tharp, V.M. (eds), Proceedings of the 11th Annual Pacific Climate (PACLIM) Workshop, April 19-22, 1994, pp. 1-8. Interagency Ecological Program, Technical Report 40, California Department of Water Resources, Sacramento, California.
16. Hagelberg, T. King and Pisias, N. (1990). Nonlinear response of Pliocene climate to orbital forcing: Evidence from the eastern equatorial Pacific. Paleoceanography, 5, 595-617.
17. 180 record during the late Neogene. Paleoceanography, 6, 729-746.
18. Hagelberg, T. King, Bond, G. and deMenocal, P. (1994). Milankovitch band forcing of sub-Milankovitch climate variability during the Pleistocene. Paleoceanography, 9, 545-558.
19. Hasselmann, K., Munk, W. and MacDonald, G. (1963). Bispectra of ocean waves. In: Rosenblatt, M. (ed.), Time Series Analysis. pp. 125-139. John Wiley, New York.
20. Hays, J.D., Imbrie, J. and Shackleton, N.J. (1976). Variations in the Earths orbit: Pacemaker of the Ice Ages. Science, 194, 1121-1132.
21. Holland, K.T. and Holman, R.A. (1993). The statistical distribution of swash maxima on natural beaches. Journal of Geophysical Research, 98, 271-278.
22. Howd, P.A., Birkemeier, W.A. and Stockdon, H.F. (1993). Interannual changes in bed elevation: Outer surf zone, Duck, N.C., 1981-1991. In: List, J. (ed.), Large Scale Coastal Behavior '93, pp. 74-77. USGS Open File Report 93-381,
23. Imbrie, J., Berger, A., Boyle, E., Clemens, S., Duffy, A., Howard, W., Kukla, G., Kutzbach, J., Martinson, D., McIntyre, A., Mix, A., Molfino, B., Morley, J., Peterson, L., Pisias, N., Prell, W., Raymo, M., Shackleton, N. and Toggweiler, J. (1993). On the structure and origin of major glaciation cycles 2. The 100,000 year cycle. Paleoceanography, 8, 699-735.
24. Imbrie, J., Boyle, E., Clemens, S., Duffy, A., Howard, W., Kukla, G., Kutzbach, J., Martinson, D., McIntyre, A., Mix, A., Molfino, B., Morley, J., Peterson, L., Pisias, N., Prell, W., Raymo, M., Shackleton, N. and Toggweiler, J. (1992). On the structure and origin of major glaciation cycles, 1, Linear responses to Milankovitch forcing. Paleoceanography, 7, 701-738.
25. 18O record. In: Berger, A. et al. (eds), Milankovitch and Climate, pp. 269-305, D. Riedel, Norwell.
26. Imbrie, J. and Imbrie, J.Z. (1980). Modeling the climatic response to orbital variations, Science, 207, 943-953.
27. Imbrie, J., McIntyre, A. and Mix, A. (1989). Oceanic response to orbital forcing in the late Quaternary: Observational and experimental strategies. In: Berger, A. et al. (eds), Climate and Geo-Sciences, pp. 121-164. Kluwer Academic Publishers, Dordrecht.
28. Jenkins, G.M. and Watts, D.G. (1968). Spectral Analysis and its Applications. Holden-Day, San Francisco, 525 pp.
29. Kominz, M.A. and Pisias, N.G. (1979). Pleistocene climate: Deterministic or stochastic? Science, 204, 171-173.
30. Kim, Y.C. and Powers, E.J. (1979). Digital bispectral analysis and its applications to nonlinear wave interactions. IEEE Transactions Plasma Science, PS-7, 120-131.
31. LeTreut, H. and Ghil, M. (1983). Orbital forcing, climatic interactions and glaciation cycles. Journal of Geophysical Research, 88, 5167-5190.
32. MacAyeal, D.R. (1993). A low-order model of the Heinrich event cycle. Paleoceanography, 8, 767-773.
33. Masuda, A. and Kuo, Y.-Y. (1981). A note on the imaginary part of bispectra. Deep Sea Research, 28A, 213-222.
34. Matteucci, G. (1989). Orbital forcing in a stochastic resonance model of the Late Pleistocene climatic variations. Climate Dynamics, 3, 179-190.
35. MESH (1993). Themes and priorities for Marine Aspects of Earth System History (MESH), Workshop Executive Summary, Portland, Oregon, March 22-25, 1993, 61 pp.
36. Pisias, N.G. and Rea, D.K. (1988). Late Pleistocene paleoclimatology of the central equatorial Pacific: Sea surface respone to the southeast trade winds. Paleoceanography, 3, 21-37.
37. Pisias, N.G., Mix, A.C. and Zahn, R. (1990). Nonlinear response in the global climate system: Evidence from benthic oxygen isotopic record in core RC13-110. Paleoceanography, 5, 147-160.
38. Priestley, M.B. (1988). Non-linear and Non-stationary Time Series Analysis. Academic Press, London, 237 pp.
39. Ruddiman, W.F., Raymo, M.E., Martinson, D.G., Clement, B.M. and Backman, J. (1989). Pleistocene evolution: northern hemisphere ice sheets and north atlantic ocean. Paleoceanography, 4, 353-412.
40. Saltzman, B. and Maasch, K.A. (1988). Carbon cycle instability as a cause of the late Pleistocene Ice Age oscillations: Modeling the asymmetric response. Global Biogeochemical Cycles, 2, 177-185.
41. Shackleton, N.J., Berger, A. and Peltier, W.R. (1990). An alternative astronomical calibration of the lower Pleistocene timescale based of ODP Site 677. Transactions of the Royal Society of Edinburgh: Earth Sciences, 81, 251-261.
42. Short, D.A., Mengel, J.G., Crowley, T.J., Hyde, W.T. and North, G.R. (1991). Filtering of Milankovitch cycles by Earths's geography. Quaternary Research, 35, 157-173.
43. Veitch, J. and Wilks, A. (1985). A characterization of Arctic undersea noise. Journal of the Acoustical Society America, 77, 989-999.
44. Wigley, T.M.L. (1976). Spectral analysis and the astronomical theory of climatic change. Nature, 264, 629-631.
45. Zachos, J.C., Lohmann, K.C., Walker, J.C.G. and Wise, S.W. (1993). Abrupt climate change and transient climates during the Paleogene: A marine perspective. Journal of Geology, 101, 191-213.