Downscaling projections of Indian monsoon rainfall using a non‐homogeneous hidden Markov model

Downscaled rainfall projections for the Indian summer monsoon are generated using a non-homogeneous hidden Markov model (NHMM) and information from both a dense observational dataset and an ensemble of general circulation models (GCMs). The projections are conditioned on two types of GCM information, corresponding approximately to dynamic and thermodynamic components of precipitation change. These have opposing effects, with a weakening circulation compensating not quite half of the regional precipitation increase that might otherwise be expected. GCM information is taken at the largest spatial scales consistent with regional physics and modelling constraints, while the NHMM produces a disaggregation consistent with the observed fine-scale spatiotemporal variability. Projections are generated using multimodel mean predictors, with intermodel dispersion providing a measure of the uncertainty due to GCM differences. The downscaled simulations exhibit small increases in the number of dry days, in the average length of dry spells, in mean daily intensity and in the exceedance frequency of nearly all daily rainfall percentiles. Copyright © 2011 Royal Meteorological Society

[1]  P. Guttorp,et al.  A non‐homogeneous hidden Markov model for precipitation occurrence , 1999 .

[2]  D. Rosbjerg,et al.  Downscaling atmospheric patterns to multi-site precipitation amounts in southern Scandinavia , 2010 .

[3]  D. Wilks Multisite generalization of a daily stochastic precipitation generation model , 1998 .

[4]  C. Leith Climate Response and Fluctuation Dissipation , 1975 .

[5]  Bin Wang,et al.  Choice of South Asian Summer Monsoon Indices , 1999 .

[6]  Sulochana Gadgil,et al.  On the Maximum Cloud Zone and the ITCZ over Indian, Longitudes during the Southwest Monsoon , 1980 .

[7]  Jr. G. Forney,et al.  The viterbi algorithm , 1973 .

[8]  M. Rajeevan,et al.  High resolution daily gridded rainfall data for the Indian region: Analysis of break and active monsoon spells , 2006 .

[9]  A. Robertson,et al.  Spatial Coherence and Seasonal Predictability of Monsoon Onset over Indonesia , 2009 .

[10]  John F. B. Mitchell,et al.  THE WCRP CMIP3 Multimodel Dataset: A New Era in Climate Change Research , 2007 .

[11]  Sergey Kirshner,et al.  Analysis of Indian monsoon daily rainfall on subseasonal to multidecadal time‐scales using a hidden Markov model , 2008 .

[12]  Eric P. Smith,et al.  An Introduction to Statistical Modeling of Extreme Values , 2002, Technometrics.

[13]  Christian W. Dawson,et al.  SDSM - a decision support tool for the assessment of regional climate change impacts , 2002, Environ. Model. Softw..

[14]  Philippe Naveau,et al.  Stochastic downscaling of precipitation: From dry events to heavy rainfalls , 2007 .

[15]  D. Wilks Adapting stochastic weather generation algorithms for climate change studies , 1992 .

[16]  Frank Ewert,et al.  Crops and climate change: progress, trends, and challenges in simulating impacts and informing adaptation. , 2009, Journal of experimental botany.

[17]  David A. Woolhiser,et al.  Stochastic daily precipitation models: 2. A comparison of distributions of amounts , 1982 .

[18]  D. Vere-Jones Markov Chains , 1972, Nature.

[19]  A. Robertson,et al.  Seasonal predictability of daily rainfall statistics over Indramayu district, Indonesia , 2009 .

[20]  James P. Hughes,et al.  A class of stochastic models for relating synoptic atmospheric patterns to regional hydrologic phenomena , 1994 .

[21]  Charles Doutriaux,et al.  Performance metrics for climate models , 2008 .

[22]  E. Lorenz Deterministic nonperiodic flow , 1963 .

[23]  David R. Cox,et al.  The Theory of Stochastic Processes , 1967, The Mathematical Gazette.

[24]  James P. Hughes,et al.  Incorporating Spatial Dependence and Atmospheric Data in a Model of Precipitation , 1994 .

[25]  S. Bony,et al.  On dynamic and thermodynamic components of cloud changes , 2004 .

[26]  A. Dai Precipitation Characteristics in Eighteen Coupled Climate Models , 2006 .

[27]  Padhraic Smyth,et al.  Downscaling of Daily Rainfall Occurrence over Northeast Brazil Using a Hidden Markov Model , 2004, Journal of Climate.

[28]  James P. Hughes,et al.  Stochastic downscaling of numerical climate model simulations , 1998 .

[29]  Daniel J. Vimont,et al.  Assessing risks of climate variability and climate change for Indonesian rice agriculture , 2007, Proceedings of the National Academy of Sciences.

[30]  B. Soden,et al.  Robust Responses of the Hydrological Cycle to Global Warming , 2006 .

[31]  Corinne Le Quéré,et al.  Climate Change 2013: The Physical Science Basis , 2013 .

[32]  B. Goswami,et al.  Intraseasonal Oscillations and Interannual Variability of the Indian Summer Monsoon , 2001 .

[33]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[34]  Pierre Ailliot,et al.  Space–time modelling of precipitation by using a hidden Markov model and censored Gaussian distributions , 2009 .

[35]  R. Reynolds,et al.  The NCEP/NCAR 40-Year Reanalysis Project , 1996, Renewable Energy.

[36]  Padhraic Smyth,et al.  Subseasonal‐to‐interdecadal variability of the Australian monsoon over North Queensland , 2006 .

[37]  H. L. Miller,et al.  Climate Change 2007: The Physical Science Basis , 2007 .

[38]  R. Mehrotra,et al.  A nonparametric nonhomogeneous hidden Markov model for downscaling of multisite daily rainfall occurrences , 2005 .

[39]  Tim Palmer,et al.  A Nonlinear Dynamical Perspective on Climate Prediction , 1999 .