Non-parametric inference of causal interactions from geological records

American Journal of Science

Volumn 311, Issue 4, 2011, Pages 315-334

  Hannisdal, Bjarte ^a  

^a UNIVERSITY OF BERGEN   (Norway)

Author keywords

Causality; Earth system; Information transfer; Monsoon; Phanerozoic

Indexed keywords

GEOLOGICAL RECORD; ICE CORE; MONSOON; NONLINEARITY; OXYGEN ISOTOPE RATIO; PALEOCLIMATE; PARAMETERIZATION; PHANEROZOIC; QUANTITATIVE ANALYSIS; SPELEOTHEM; TIME SERIES ANALYSIS;

EID: 82255174896     PISSN: 00029599     EISSN: None     Source Type: Journal    
DOI: 10.2475/04.2011.02     Document Type: Article

References (39)

1. 2: Geochimica et Cosmochimica Acta, v. 70, p. 5653-5664, doi:10.1016/j.gca.2005.11.032. (Pubitemid 44712462)
2. Berner, R. A., 2006b, Inclusion of the weathering of volcanic rocks in the GEOCARBSULF model: American Journal of Science, v. 306, p. 295-302, doi:10.2475/05.2006.01. (Pubitemid 44308952)
3. Berner, R. A., and Raiswell, R., 1983, Burial of organic-carbon and pyrite sulfur in sediments over Phanerozoic time-a new theory: Geochimica et Cosmochimica Acta, v. 47, p. 855-862, doi:10.1016/0016-7037(83)90151-5.
4. Burnham, K. P., and Anderson, D. R., 2002, Model selection and multi-model inference: A practical information-theoretic approach (2nd Edition): New York, Springer-Verlag, 488 p.
5. Cai, Y. J., An, Z. S., Cheng, H., Edwards, R. L., Kelly, M. J., Liu, W. G., Wang, X. F., and Shen, C. C., 2006, High-resolution absolute-dated Indian monsoon record between 53 and 36 Ka from Xiaobailong Cave, southwestern China: Geology, v. 34, n. 8, p. 621-624, doi:10.1130/G22567.1.
6. Cosford, J., Qing, H. R., Yuan, D. X., Zhang, M. L., Holmden, C., Patterson, W., and Hai, C., 2008, Millennial-scale variability in the Asian monsoon: Evidence from oxygen isotope records from stalagmites in southeastern China: Palaeogeography Palaeoclimatology Palaeoecology, v. 266, n. 1-2, p. 3-12, doi:10.1016/j.palaeo.2008.03.029.
7. Dessert, C., Dupré, B., Gaillardet, J., François, L. M., and Allègre, C. J., 2003, Basalt weathering laws and the impact of basalt weathering on the global carbon cycle: Chemical Geology, v. 202, n. 3-4, p. 257-273, doi:10.1016/j.chemgeo.2002.10.001. (Pubitemid 38047358)
8. EPICA community members, 2006, One-to-one coupling of glacial climate variability in Greenland and Antarctica: Nature, v. 444, p. 195-198, doi:10.1038/nature05301.
9. Granger, C. W. J., 1969, Investigating causal relations by econometric models and cross-spectral methods: Econometrica, v. 37, n. 3, p. 424-438, doi:10.2307/1912791.
10. Hannisdal, B., and Peters, S. E., 2010, On the relationship between macrostratigraphy and geological processes: Quantitative information capture and sampling robustness: Journal of Geology, v. 118, n. 2, p. 111-130, doi:10.1086/650180.
11. Hlaváčková-Schindler, K., Paluš, M., Vejmelka, M., and Bhattacharya, J., 2007, Causality detection based on information-theoretic approaches in time series analysis: Physics Reports, v. 441, p. 1-46, doi:10.1016/j.physrep.2006.12.004.
12. Kampschulte, A., and Strauss, H., 2004, The sulfur isotopic evolution of Phanerozoic seawater based on the analysis of structurally substituted sulfate in carbonates: Chemical Geology, v. 204, n. 3-4, p. 255-286, doi:10.1016/j.chemgeo.2003.11.013. (Pubitemid 38527471)
13. Kantz, H., and Schreiber, T., 2003, Nonlinear Time Series Analysis (2nd Edition): Cambridge, United Kingdom, Cambridge University Press, 369 p.
14. 2, and climate: Annual Review of Earth and Planetary Sciences, v. 28, p. 611-667, doi:10.1146/annurev.earth.28.1.611.
15. Lizier, J. T., and Prokopenko, M., 2010, Differentiating information transfer and causal effect: The European Physical Journal B, v. 73, n. 4, p. 605-615, doi:10.1140/epjb/e2010-00034-5.
16. Marschinski, R., and Kantz, H., 2002, Analysing the information flow between financial time series-An improved estimator for transfer entropy: The European Physical Journal B, v. 30, n. 2, p. 275-281, doi:10.1140/epjb/e2002- 00379-2.
17. Materassi, M., Wernik, A., and Yordanova, E., 2007, Determining the verse of magnetic turbulent cascades in the earth's magnetospheric cusp via transfer entropy analysis: preliminary results: Nonlinear Processes in Geophysics, v. 14, p. 153-161, doi:10.5194/npg-14-153-2007.
18. McArthur, J. M., Howarth, R. J., and Bailey, T. R., 2001, Strontium isotope stratigraphy: LOWESS version 3: Best fit to the marine Sr-isotope curve for 0-509 Ma and accompanying look-up table for deriving numerical age: The Journal of Geology, v. 109, n. 2, p. 155-170, doi:10.1086/319243. (Pubitemid 32406525)
19. Nemenman, I., Bialek, W., and van Steveninck, R. D., 2004, Entropy and information in neural spike trains: Progress on the sampling problem: Physical Review E, v. 69, n. 5, 056111, doi:10.1103/Phys- RevE.69.056111.
20. NGRIP members, Andersen, K. K., Azuma, N., Barnola, J.-M., Bigler, M., Biscaye, P., Caillon, N., Chappelaz, J., Clausen, H. B., Dahl-Jensen, D., Fischer, H., Flückiger, J., Fritzche, D., Fujii, Y., Goto-Azuma, K., Gronvold, K., Gundestrup, N. S., Hansson, M., Huber, C., Hvidberg, C. S., Johnsen, S. J., Jonsell, U., Jouzel, J., Kipfstuhl, S., Landais, A., Leuenberger, M., Lorrain, R., Masson-Delmotte, V., Miller, H., Motoyama, H., Narita, H., Popp, T., Rasmussen, S. O., Raynaud, D., Rothlisberger, R., Ruth, U., Samyn, D., Schwander, J., Shoji, H., Siggard-Andersen, M.-L., Steffensen, J. P., Stocker, T., Sveinbjörnsdó ttir, A. E., Svensson, A., Takata, M., Tison, J.-L., Thorsteinsson, Th., Watanabe, O., Wilhelms, F., and White, J. W. C., 2004, High-resolution record of northern hemisphere climate extending into the last interglacial period: Nature, v. 431, p. 147-151, doi:10.1038/nature02805. (Pubitemid 39243460)
21. Paluš, M., 1996, Coarse-grained entropy rates for characterization of complex time series: Physica D, v. 93, n. 1-2, p. 64-77, doi:10.1016/0167-2789(95)00301-0. (Pubitemid 126687328)
22. Paluš, M., and Vejmelka, M., 2007, Directionality of coupling from bivariate time series: How to avoid false causalities and missed connections: Physical Review E, v. 75, 056211, doi:10.1103/PhysRevE.75.056211. (Pubitemid 47000976)
23. Paluš, M., Komárek, V., Hrnč?́ř, Z., and Š těrbová, K., 2001, Synchronization as adjustment of information rates: Detection from bivariate time series: Physical Review E, v. 63, 046211, doi:10.1103/Phys- RevE.63.046211.
24. Prokoph, A., and Veizer, J., 1999, Trends, cycles and nonstationarities in isotope signals of Phanerozoic seawater: Chemical Geology, v. 161, n. 1-3, p. 225-240, doi:10.1016/S0009-2541(99)00089-3. (Pubitemid 30130532)
25. Prokoph, A., Shields, G. A., and Veizer, J., 2008, Compilation and time-series analysis of a marine carbonate -18O, -13C, 87Sr/86Sr and -34S database through Earth history: Earth-Science Reviews, v. 87, n. 3-4, p. 113-133, doi:10.1016/j.earscirev.2007.12.003.
26. Rasmussen, S. O., Andersen, K. K., Svensson, A. M., Steffensen, J. P., Vinther, B. M., Clausen, H. B., Siggaard-Andersen, M. L., Johnsen, S. J., Larsen, L. B., Dahl-Jensen, D., Bigler, M., Röthlisberger, R., Fischer, H., Goto-Azuma, K., Hansson, M. E., and Ruth, U., 2006, A new Greenland ice core chronology for the last glacial termination: Journal of Geophysical Research-Atmospheres, v. 111, D06102, doi:10.1029/2005JD006079. (Pubitemid 43675909)
27. Rohling, E. J., Liu, Q. S., Roberts, A. P., Stanford, J. D., Rasmussen, S. O., Langen, P. L., and Siddall, M., 2009, Controls on the East Asian monsoon during the last glacial cycle, based on comparison between Hulu Cave and polar ice-core records: Quaternary Science Reviews, v. 28, n. 27-28, p. 3291-3302, doi:10.1016/j.quascirev.2009.09.007.
28. Schreiber, T., 2000, Measuring information transfer: Physical Review Letters, v. 85, p. 461-464, doi:10.1103/PhysRevLett.85.461.
29. Schreiber, T., and Schmitz, A., 2000, Surrogate time series: Physica D-Nonlinear Phenomena, v. 142, n. 3-4, p. 346-382, doi:10.1016/S0167-2789(00) 00043-9.
30. Shannon, C. E., 1948, A mathematical theory of communication: Bell Systems Technical Journal, v. 27, p. 379-423 and p. 623-656.
31. Shields, G., and Veizer, J., 2002, Precambrian marine carbonate isotope database: Version 1.1: Geochemistry Geophysics Geosystems, v. 3, 1031, doi:10.1029/2001GC000266.
32. Staniek, M., and Lehnertz, K., 2008, Symbolic transfer entropy: Physical Review Letters, v. 100, 158101, doi:10.1103/PhysRevLett.100.158101. (Pubitemid 351549488)
33. Veizer, J., Ala, D., Azmy, K., Bruckschen, P., Buhl, D., Bruhn, F., Carden, G. A. F., Diener, A., Ebneth, S., Godderis, Y., Jasper, T., Korte, C., Pawellek, F., Podlaha, O. G., and Strauss, H., 1999, 87Sr/86Sr, -13C and -18O evolution of Phanerozoic seawater: Chemical Geology, v. 161, p. 59-88, doi:10.1016/S0009-2541(99)00081-9.
34. Vejmelka, M., and Paluš, M., 2008, Inferring the directionality of coupling with conditional mutual information: Physical Review E, v. 77, 026214, doi:10.1103/PhysRevE.77.026214. (Pubitemid 351366245)
35. Verdes, P. F., 2005, Assessing causality from multivariate time series: Physical Review E, v. 72, 026222, doi:10.1103/PhysRevE.72.026222. (Pubitemid 41520929)
36. Waltham, D., and Grocke, D. R., 2006, Non-uniqueness and interpretation of the seawater 87Sr/86Sr curve: Geochimica et Cosmochimica Acta, v. 70, n. 2, p. 384-394, doi:10.1016/j.gca.2005.09.014. (Pubitemid 43109702)
37. Wang, Y. J., Cheng, H., Edwards, R. L., An, Z. S., Wu, J. Y., Shen, C. C., and Dorale, J. A., 2001, A high-resolution absolute-dated late Pleistocene monsoon record from Hulu Cave, China: Science, v. 294, n. 5550, p. 2345-2348, doi:10.1126/science.1064618. (Pubitemid 33140556)
38. Wu, N. P., Farquhar, J., Strauss, H., Kim, S. T., and Canfield, D. E., 2010, Evaluating the S-isotope fractionation associated with Phanerozoic pyrite burial: Geochimica et Cosmochimica Acta, v. 74, n. 7, p. 2053-2071, doi:10.1016/j.gca.2009.12.012.
39. Yuan, D. X., Cheng, H., Edwards, R. L., Dykoski, C. A., Kelly, M. J., Zhang, M. L., Qing, J. M., Lin, Y. S., Wang, Y. J., Wu, J. Y., Dorale, J. A., An, Z. S., and Cai, Y. J., 2004, Timing, duration, and transitions of the last interglacial Asian monsoon: Science, v. 304, n. 5670, p. 575-578, doi:10.1126/science.1091220. (Pubitemid 38541913)