Extracting the temporal signal from a winter and summer mass-balance series: Application to a six-decade record at Glacier de Sarennes, French Alps

Journal of Glaciology

Volumn 57, Issue 201, 2011, Pages 134-150

  Eckert, N ^a   Baya, H ^a   Thibert, E ^a   Vincent, C ^b  

^a Cemagref   (France)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ANNUAL VARIATION; GEOSTATISTICS; GLACIER DYNAMICS; GLACIER MASS BALANCE; SUMMER; TEMPORAL ANALYSIS; TREND ANALYSIS; VARIANCE ANALYSIS; WINTER;

ALPS; FRANCE; ISERE; RHONE-ALPES; SARENNES GLACIER;

EID: 79958814918     PISSN: 00221430     EISSN: None     Source Type: Journal    
DOI: 10.3189/002214311795306673     Document Type: Article

References (61)

1. Banerjee, S., B. P. Carlin and A. E. Gelfand. 2004. Hierarchical modeling and analysis for spatial data. Boca Raton, FL, Chapman & Hall.
2. Berger, J. O. 1985. Statistical decision theory and Bayesian analysis. Second edition. New York, Springer-Verlag.
3. Bloomfield, P. 1992. Trends in global temperature. Climatic Change, 21(1), 1-16.
4. Booth, N. B. and A. F. M. Smith. 1982. A Bayesian approach to retrospective identification of change-points. J. Econ., 19(1), 7-22.
5. Brooks, S. 1998. Markov chain Monte Carlo method and its application. J. R. Stat. Soc., Ser. D, 47(1), 69-100. (Pubitemid 128469062)
6. Brooks, S. P. and A. Gelman. 1998. General methods for monitoring convergence of iterative simulations. J. Comput. Graph. Stat., 7(4), 434-455. (Pubitemid 128635035)
7. Carlin, B. P., A. E. Gelfand and A. F. M. Smith. 1992. Hierarchical Bayesian analysis of changepoint problems. Appl. Stat., 41(2), 389-405.
8. Clark, J. S. 2005. Why environmental scientists are becoming Bayesians. Ecol. Lett., 8(1), 2-14. (Pubitemid 40172132)
9. Clark, J. S. and A. Gelfand, eds. 2006. Applications of computational statistics in the environmental sciences: hierarchical Bayes and MCMC methods. Oxford, etc., Oxford University Press.
10. Diaz, J. 1982. Bayesian detection of a change of scale parameter in sequences of independent gamma random variables. J. Econ., 19(1), 23-29.
11. Durand, Y., M. Laternser, G. Giraud, P. Etchevers, B. Lesaffre and L. Mérindol. 2009a. Reanalysis of 44 years of climate in the French Alps (1958-2002): methodology, model validation, climatology, and trends for air temperature and precipitation. J. Appl. Meteorol. Climatol., 48(3), 429-449.
12. Durand, Y., G. Giraud, M. Laternser, P. Etchevers, L. Mérindol and B. Lesaffre. 2009b. Reanalysis of 47 years of climate in the French Alps (1958-2005): climatology and trends for snow cover. J. Appl. Meteorol. Climatol., 48(12), 2487-2512.
13. Dyurgerov, M. B. and J. D. Dwyer. 2001. The steepening of glacier mass balance gradients with northern hemisphere warming. Z. Gletscherkd. Glazialgeol., 36(1-2), 107-118.
14. Eckert, N., E. Parent, L. Bélanger and S. Garcia. 2007. Hierarchical Bayesian modelling for spatial analysis of the number of avalanche occurrences at the scale of the township. Cold Reg. Sci. Technol., 50(1-3), 97-112. (Pubitemid 47430481)
15. Eckert, N., E. Parent, M. Naaim and D. Richard. 2008. Bayesian stochastic modelling for avalanche predetermination: from a general system framework to return period computations. Stoch. Environ. Res. Risk Assess., 22(2), 185-206.
16. Eckert, N., H. Baya and M. Deschatres. 2010a. Assessing the response of snow avalanche runout altitudes to climate fluctuations using hierarchical modeling: application to 61 winters of data in France. J. Climate, 23(12), 3157-3180.
17. Eckert, N., M. Naaim and E. Parent. 2010b. Long-term avalanche hazard assessment with a Bayesian depth-averaged propagation model. J. Glaciol., 56(198), 563-586.
18. Eckert, N., E. Parent, R. Kies and H. Baya. 2010c. A spatio-temporal modelling framework for assessing the fluctuations of avalanche occurrence resulting from climate change: application to 60 years of data in the northern French Alps. Climatic Change, 101(3-4), 515-553.
19. Elsberg, D. H., W. D. Harrison, K. A. Echelmeyer and R. M. Krimmel. 2001. Quantifying the effects of climate and surface change on glacier mass balance. J. Glaciol., 47(159), 649-658. (Pubitemid 34495070)
20. Funk, M., R. Morelli and W. Stahel. 1997. Mass balance of Griesgletscher 1961-1994: different methods of determination. Z. Gletscherkd. Glazialgeol., 33(1), 41-55.
21. Gaucherel, C., F. Campillo, L. Misson, J. Guiot and J.-J. Boreux. 2008. Parameterization of a process-based tree-growth model: comparison of optimization, MCMC and Particle Filtering algorithms. Environ. Model. Softw., 23(10-11), 1280-1288.
22. Geman, S. and D. Geman. 1984. Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images. IEEE Trans. Patt. Anal. Mach. Intell., 6(6), 721-741. (Pubitemid 15453722)
23. Gilks, W. R., S. Richardson and D. J. Spiegelhalter, eds. 1996. Markov chain Monte Carlo in practice. London, Chapman & Hall.
24. Haeberli, W. 1995. Glacier fluctuations and climate change detection. Geogr. Fís. Din. Quat., 18(2), 191-199. (Pubitemid 28005456)
25. Hoinkes, H. 1970. Methoden und Möglichkeiten von Massenhaushaltsstudien auf Gletschern: Ergebnisse der Messreihe Hintereisferner (Ötztaler Alpen) 1953-1968. Z. Gletscherkd. Glazialgeol., 6(1-2), 37-90.
26. Huss, M. and A. Bauder. 2009. 20th-century climate change inferred from four long-term point observations of seasonal mass balance. Ann. Glaciol., 50(50), 207-214.
27. Huss, M., A. Bauder, M. Funk and R. Hock. 2008. Determination of the seasonal mass balance of four Alpine glaciers since 1865. J. Geophys. Res., 113(F1), F01015. (10.1029/2007JF000803.)
28. Kaser, G., J. G. Cogley, M. B. Dyurgerov, M. F. Meier and A. Ohmura. 2006. Mass balance of glaciers and ice caps: consensus estimates for 1961-2004. Geophys. Res. Lett., 33(19), L19501. (10.1029/2006GL027511.) (Pubitemid 46535067)
29. Kuhn, M. 1984. Mass budget imbalances as criterion for a climatic classification of glaciers. Geogr. Ann., 66 A (3), 229-238.
30. Lauritzen, S. L. 1996. Graphical models. Oxford, etc., Oxford University Press.
31. Letréguilly, A. and L. Reynaud. 1990. Space and time distribution of glacier mass-balance in the Northern Hemisphere. Arct. Alp. Res., 22(1), 43-50.
32. Lliboutry, L. 1974. Multivariate statistical analysis of glacier annual balances. J. Glaciol., 13(69), 371-392.
33. Mayo, L. R., M. F. Meier and W. V. Tangborn. 1972. A system to combine stratigraphic and annual mass-balance systems: a contribution to the International Hydrological Decade. J. Glaciol., 11(61), 3-14.
34. Mearns, L. O., C. Rosenzweig and R. Goldberg. 1997. Mean and variance change in climate scenarios: methods, agricultural applications, and measures of uncertainty. Climatic Change, 35(4), 367-396.
35. Meier, M. F. and W. V. Tangborn. 1965. Net budget and flow of South Cascade Glacier, Washington. J. Glaciol., 5(41), 547-566.
36. Müller, H. and G. Kappenberger. 1991. Claridenfirn-Messungen 1914-1984. Zürcher Geogr. Schr. 40.
37. Nogaj, M., S. Parey and D. Dacunha-Castelle. 2007. Non-stationary extreme models and a climatic application. Nonlinear Proc. Geophys., 14(3), 305-316. (Pubitemid 47137628)
38. Oerlemans, J. and J. P. F. Fortuin. 1992. Sensitivity of glaciers and small ice caps to greenhouse warming. Science, 258(5079), 115-117. (Pubitemid 23375096)
39. Oerlemans, J. and N. C. Hoogendoorn. 1989. Mass-balance gradients and climatic change. J. Glaciol., 35(121), 399-405.
40. Ohmura, A., A. Bauder, H. Müller and G. Kappenberger. 2007. Long-term change of mass balance and the role of radiation. Ann. Glaciol., 46, 367-374.
41. Parent, E. and J. Bernier. 2007. Le raisonnement bayésien: modélisation et inférence. Paris, etc., Springer-Verlag.
42. Perreault, L., J. Bernier, B. Bobée and E. Parent. 2000a. Bayesian change-point analysis in hydrometeorological time series. Part 1. The normal model revisited. J. Hydrol., 235(3-4), 221-241.
43. Perreault, L., J. Bernier, B. Bobée and E. Parent. 2000b. Bayesian change-point analysis in hydrometeorological time series. Part 2. Comparison of change-point models and forecasting. J. Hydrol., 235(3-4), 242-263.
44. Rao, A. R. and W. Tirtotjondro. 1996. Investigation of changes in characteristics of hydrological time series by Bayesian methods. Stoch. Hydrol. Hydraul., 10(4), 295-317. (Pubitemid 126839067)
45. Rasmussen, L. A. 2004. Altitude variation of glacier mass balance in Scandinavia. Geophys. Res. Lett., 31(13), L13401. (10.1029/2004GL020273.) (Pubitemid 39250764)
46. Rasmussen, L. A. and L. M. Andreassen. 2005. Seasonal massbalance gradients in Norway. J. Glaciol., 51(175), 601-606.
47. Solomon, S. and 7 others, eds. 2007. Climate change 2007: the physical science basis. Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge, etc., Cambridge University Press.
48. Soruco, A. and 9 others. 2009. Mass balance of Glaciar Zongo, Bolivia, between 1956 and 2006, using glaciological, hydrological and geodetic methods. Ann. Glaciol., 50(50), 1-8.
49. Spiegelhalter, D. J., N. G. Best, B. P. Carlin and A. van der Linde. 2002. Bayesian measures of model complexity and fit. J. R. Stat. Soc., 64(4), 583-639.
50. Tanner, M. A. 1992. Tools for statistical inference: observed data and data augmentation methods. Berlin, etc., Springer.
51. Thibert, E. and C. Vincent. 2009. Best possible estimation of mass balance combining glaciological and geodetic methods. Ann. Glaciol., 50(50), 112-118.
52. Thibert, E., R. Blanc, C. Vincent and N. Eckert. 2008. Glaciological and volumetric mass-balance measurements: error analysis over 51 years for Glacier de Sarennes, French Alps. J. Glaciol., 54(186), 522-532.
53. Valla, F. 1989. Forty years of mass-balance observations on Glacier de Sarennes, French Alps. Ann. Glaciol., 13, 269-272.
54. Valla, F. and C. Piedallu. 1997. Volumetric variations of the Glacier de Sarennes, French Alps, during the last two centuries. Ann. Glaciol., 24, 361-366.
55. Vallon, M. and J. C. Leiva. 1981. Bilans de masse et fluctuations récentes du Glacier de Saint-Sorlin (Alpes Françaises). Z. Gletscherkd. Glazialgeol., 17(2), 143-167.
56. Vallon, M., C. Vincent and L. Reynaud. 1998. Altitudinal gradient of mass-balance sensitivity to climatic change from 18 years of observations on glacier d'Argentière, France. J. Glaciol., 44(146), 93-96. (Pubitemid 28497196)
57. Vincent, C. 2002. Influence of climate change over the 20th century on four French glacier mass balances. J. Geophys. Res., 107(D19), 4375. (10.1029/2001JD000832.) (Pubitemid 43206184)
58. Vincent, C. and M. Vallon. 1997. Meteorological controls on glacier mass balance: empirical relations suggested by measurements on glacier de Sarennes, France. J. Glaciol., 43(143), 131-137.
59. Vincent, C., G. Kappenberger, F. Valla, A. Bauder, M. Funk and E. Le Meur. 2004. Ice ablation as evidence of climate change in the Alps over the 20th century. J. Geophys. Res., 109(D10), D10104. (10.1029/2003JD003857.) (Pubitemid 39102678)
60. Von Storch, H. and F. W. Zwiers. 2002. Statistical analysis in climate research. Cambridge, Cambridge University Press.
61. Wikle, C. K. 2003. Hierarchical Bayesian models for predicting the spread of ecological processes. Ecology, 84(6), 1382-1394. (Pubitemid 37435724)