Bayesian analysis of climate change impacts in phenology

The identification of changes in observational data relating to the climate change hypothesis remains a topic of paramount importance. In particular, scientifically sound and rigorous methods for detecting changes are urgently needed. In this paper, we develop a Bayesian approach to nonparametric function estimation. The method is applied to blossom time series of Prunus avium L., Galanthus nivalis L. and Tilia platyphyllos SCOP. The functional behavior of these series is represented by three different models: the constant model, the linear model and the one change point model. The one change point model turns out to be the preferred one in all three data sets with considerable discrimination of the other alternatives. In addition to the functional behavior, rates of change in terms of days per year were also calculated. We obtain also uncertainty margins for both function estimates and rates of change. Our results provide a quantitative representation of what was previously inferred from the same data by less involved methods.

[1]  Robert E. Davis,et al.  Climate Influences on Grapevine Phenology, Grape Composition, and Wine Production and Quality for Bordeaux, France , 2000, American Journal of Enology and Viticulture.

[2]  Klaus Hasselmann,et al.  Detection and Attribution of Recent Climate Change: A Status Report , 1999 .

[3]  Mark D. Schwartz,et al.  Changes in North American spring , 2000 .

[4]  Benjamin F. Hobbs,et al.  Bayesian methods for analysing climate change and water resource uncertainties , 1997 .

[5]  Richard S. J. Tol,et al.  A Bayesian Statistical Analysis of the Enhanced Greenhouse Effect , 1998 .

[6]  J. Magnuson,et al.  Historical trends in lake and river ice cover in the northern hemisphere , 2000, Science.

[7]  T. Sparks,et al.  The Responses of Species to Climate Over Two Centuries: An Analysis of the Marsham Phenological Record, 1736-1947 , 1995 .

[8]  H. Freeland,et al.  Spring phenology trends in Alberta, Canada: links to ocean temperature , 2000, International journal of biometeorology.

[9]  J. Peñuelas,et al.  Changed plant and animal life cycles from 1952 to 2000 in the Mediterranean region , 2002 .

[10]  R. Smithers,et al.  Is spring getting earlier? , 2002 .

[11]  S. Schneider,et al.  Fingerprints of global warming on wild animals and plants , 2003, Nature.

[12]  Bernard Bobée,et al.  Bayesian change-point analysis in hydrometeorological time series. Part 2. Comparison of change-point models and forecasting , 2000 .

[13]  C. Defila,et al.  Phytophenological trends in Switzerland , 2001, International journal of biometeorology.

[14]  R. Ahas,et al.  Changes in European spring phenology , 2002 .

[15]  T. Bayes An essay towards solving a problem in the doctrine of chances , 2003 .

[16]  O. Hoegh‐Guldberg,et al.  Ecological responses to recent climate change , 2002, Nature.

[17]  Robert G. Aykroyd,et al.  A kernel-based Bayesian approach to climatic reconstruction , 1999 .

[18]  Klaus Hasselmann,et al.  Conventional and Bayesian approach to climate‐change detection and attribution , 1998 .

[19]  A. Menzel,et al.  Spatial and temporal variability of the phenological seasons in Germany from 1951 to 1996 , 2001 .

[20]  J. Houghton,et al.  Climate change 2001 : the scientific basis , 2001 .

[21]  G. Walther,et al.  "Fingerprints" of climate change : adapted behaviour and shifting species ranges , 2001 .

[22]  T. Loredo,et al.  A new method for the detection of a periodic signal of unknown shape and period , 1992 .

[23]  M. Andersson,et al.  Brood parasitism: Female ducks can double their reproduction , 2001, Nature.

[24]  M. Kozlov,et al.  Decline in Length of the Summer Season on the Kola Peninsula, Russia , 2002 .

[25]  N. L. Bradley,et al.  Phenological changes reflect climate change in Wisconsin. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[26]  V. Dose Bayesian inference in physics: case studies , 2003 .

[27]  A. Menzel,et al.  Trends in phenological phases in Europe between 1951 and 1996 , 2000, International journal of biometeorology.

[28]  G. C. Tiao,et al.  Bayesian inference in statistical analysis , 1973 .

[29]  J. N. Kapur,et al.  Entropy optimization principles with applications , 1992 .

[30]  E. Jaynes Information Theory and Statistical Mechanics , 1957 .

[31]  Annette Menzel,et al.  Growing season extended in Europe , 1999, Nature.

[32]  Climate Change in Nontraditional Data Sets , 2001, Science.

[33]  F. Lauscher Neue Analysen ältester und neuerer phänologischer Reihen , 1978 .

[34]  R. Ahas Long-term phyto-, ornitho- and ichthyophenological time-series analyses in Estonia , 1999 .

[35]  Thomas Rötzer,et al.  Annual and spatial variability of the beginning of growing season in Europe in relation to air temperature changes , 2002 .

[36]  A. Menzel Plant Phenological Anomalies in Germany and their Relation to Air Temperature and NAO , 2003 .

[37]  R. Katz Techniques for estimating uncertainty in climate change scenarios and impact studies , 2002 .

[38]  John S. J. Hsu,et al.  Bayesian Methods: An Analysis for Statisticians and Interdisciplinary Researchers , 1999 .

[39]  Stephen S. Leroy Detecting Climate Signals: Some Bayesian Aspects , 1998 .

[40]  A. Fitter,et al.  Rapid Changes in Flowering Time in British Plants , 2002, Science.

[41]  Annette Menzel,et al.  Observed changes in seasons: an overview , 2002 .

[42]  W. Schöner,et al.  Regional temperature variability in the European Alps: 1760–1998 from homogenized instrumental time series , 2001 .