Abstract
We applied a simple statistical downscaling procedure for transforming daily global climate model (GCM) rainfall to the scale of an agricultural experimental station in Katumani, Kenya. The transformation made was two-fold. First, we corrected the rainfall frequency bias of the climate model by truncating its daily rainfall cumulative distribution into the station’s distribution based on a prescribed observed wet-day threshold. Then, we corrected the climate model rainfall intensity bias by mapping its truncated rainfall distribution into the station’s truncated distribution. Further improvements were made to the bias corrected GCM rainfall by linking it with a stochastic disaggregation scheme to correct the time structure problem inherent with daily GCM rainfall. Results of the simple and hybridized GCM downscaled precipitation variables (total, probability of occurrence, intensity and dry spell length) were linked with a crop model for a more objective evaluation of their performance using a non-linear measure based on mutual information based on entropy. This study is useful for the identification of both suitable downscaling technique as well as the effective precipitation variables for forecasting crop yields using GCM’s outputs which can be useful for addressing food security problems beforehand in critical basins around the world.
Similar content being viewed by others
References
Baigorria GA, Jones JW, O’Brien JJ (2008) Potential predictability of crop yield using an ensemble climate forecast by a regional circulation model. Agric For Meteorol 148:1353–1361
Baron C, Sultan B, Balme M, Sarr B, Traore S, Lebel T, Janicot S, Dingkuhn M (2005) From GCM grid cell to agricultural plot: scale issues affecting modelling of climate impact. Philos Trans R Soc B 360:2095–2108
Fraser AM, Swinney HL (1986) Independent coordinates for strange attractors from mutual information. Phys Rev A 33(2):1134–1140
Hansen JW, Indeje M (2004) Linking dynamic seasonal climate forecasts with crop simulation for maize yield prediction in semi-arid Kenya. Agric For Meteorol 125:143–157
Hansen JW, Ines AVM (2005) Stochastic disaggregation of monthly rainfall data for crop simulation studies. Agric For Meteorol 131:233–246
Hansen JW, Mavromatis T (2001) Correcting low-frequency variability bias in stochastic weather generators. Agric For Meteorol 109:297–310
Hansen JW, Tippett M, Bell M, Ines AVM (2010) Linking seasonal forecasts into riskview to enhance food security contingency planning. TR10-12. IRI Technical Report, New York
Indeje M, Semazzi FHM, Ogallo LJ (2000) ENSO signals in East African rainfall and their prediction potentials. Int J Climatol 20:19–46
Ines AVM, Hansen JW (2006) Bias correction of daily GCM rainfall for crop simulation studies. Agric For Meteorol 138:44–53
Ines AVM, Hansen JW, Robertson AW (2011) Enhancing the utility of daily GCM rainfall for crop yield prediction. Int J Climatol 31:2168–2182
Jeong DI, St-Hilaire A, Ouarda TBMJ, Gachon P (2012) Comparison of transfer functions in statistical downscaling models for daily temperature and precipitation over Canada. Stoch Environ Res Risk Assess 26:633–653
Katz RW, Parlange MB (1998) Overdispersion phenomenon in stochastic modeling of precipitation. J Clim 11:591–601
Keating BA, Wafula BM, Watiki JM (1992) Exploring strategies for increased productivity—the case for maize in semi-arid Eastern Kenya. In: A search for strategies for sustainable dryland cropping in Semi-arid Eastern Kenya, ACIAR proceedings, no. 41. Australian Centre for International Agricultural Research, Canberra, pp 90–101
Kyoung MS, Kim HS, Sivakumar B, Singh VP, Ahn KS (2010) Dynamic characteristics of monthly rainfall in the Korean Peninsula under climate change. Stoch Environ Res Risk Assess 25:613–625
Maurer EP (2007) Uncertainty in hydrologic impacts of climate change in the Sierra Nevada, California under two emissions scenarios. Clim Chang 82(3–4):309–325
Mishra AK, Coulibaly P (2010) Hydrometric network evaluation for Canadian watersheds. J Hydrol 380(2010):420–437
Mishra AK, Singh VP (2009) Analysis of drought severity–area–frequency curves using a general circulation model and scenario uncertainty. J Geophys Res 114:D06120. doi:10.1029/2008JD010986
Moon Y, Rajagopalan B, Lall U (1995) Estimation of mutual information using kernel density estimators. Phys Rev E 52(3):2318–2321
Moron V, Robertson AW, Ward MN, Camberlin P (2007) Spatial coherence of tropical rainfall at the regional scale. J Clim 20:5244–5263
Ritchie JT, Singh U, Godwin DC, Bowen WT (1998) Cereal growth, development and yield. In: Tsuji GY, Hoogenboom G, Thornton PK (eds) Understanding options for agricultural production. Kluwer Academic Publishers, Dordrecht, pp 79–98
Robertson AW, Ines AVM, Hansen JW (2007) Downscaling of seasonal precipitation for crop simulation. J Appl Meteorol Climatol 46:677–693
Roeckner E, Arpe K, Bengtsson L, Claussen CM, Dümenil L, Esch M, Giorgetta M, Schiese U, Schulzweida U (1996) The atmospheric general circulation model ECHAM-4: model description and simulation of present-day climate, report no. 218. Max Planck Institute for Meteorology, Hamburg
Scott DW (1992) Multivariate density estimation: theory, practice and visualisation. In: Probability and mathematical statistics. Wiley, New York, p 317
Sharma A (2000) Seasonal to interannual rainfall probabilistic forecasts for improved water supply management: part 1: a strategy for system predictor identification. J Hydrol 239:232–239
Silverman BW (1986) Density estimation for statistics and data analysis. Chapman and Hall, New York
Sivakumar B (2011) Global climate change and its impacts on water resources planning and management: assessment and challenges. Stoch Environ Res Risk Assess 25:583–600
Wand MP, Jones MC (1995) Kernel smoothing. Chapman & Hall, London
Wood AW, Leung LR, Sridhar V, Lettenmaier DP (2004) Hydrologic implications of dynamical and statistical approaches to downscaling climate model outputs. Clim Chang 62:189–216
Acknowledgments
The authors wish to thank the Associate Editor and the Reviewers for their useful comments and suggestions that helped to improve the quality of the manuscript. AKM and VPS acknowledge the support from USGS Grant 2009TX334G. AVMI and JWH acknowledge the support from NOAA Grant No. #NA05OAR4311004. The model outputs from IRI have been funded by a computing grant from the multi-agency Climate Simulation Laboratory (CSL) program.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Mishra, A.K., Ines, A.V.M., Singh, V.P. et al. Extraction of information content from stochastic disaggregation and bias corrected downscaled precipitation variables for crop simulation. Stoch Environ Res Risk Assess 27, 449–457 (2013). https://doi.org/10.1007/s00477-012-0667-9
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00477-012-0667-9