Theoretical and Applied Climatology

, Volume 133, Issue 3–4, pp 1035–1050 | Cite as

On the inherent predictability of precipitation across the United States

  • C. T. DhanyaEmail author
  • Gabriele Villarini
Original Paper


Predictability of climate variables is known to be limited to few days up to few weeks due to the inherent chaotic nature and resulting sensitivity to initial conditions. However, such generalization of limited predictability is cautioned because of the highly nonlinear nature and the known influence of localized causal factors on many climate variables. Additionally, even though an improvement in predictability is expected with coarsening in spatial and temporal resolutions, the extent and rate of this expected improvement is still unexplored. This study investigates the spatial distribution of predictability of daily precipitation across the USA. The emphasis is on determining the rate of increase in predictability with spatio-temporal averaging, by defining three predictability statistics (maximum predictability, predictive error, and predictive instability) based on the nonlinear finite-time Lyapunov exponent. From our analyses, we find that predictability increases monotonically with temporal averaging, while spatial averaging has minimal influence, pointing to the possible spatially invariant nature of precipitation dynamics. Modeling the precipitation dynamics at relatively coarser scales of 1° × 1° and higher temporal scales of 5–10 days could markedly improve the predictability statistics. Significant changes in the predictability characteristics of daily precipitation across large areas of the USA and associated non-stationarity are also identified over the 1948–2006 period. This is consistent with sudden changes in the overall nature of precipitation over time, which include a reduction in non-rainy days, an increase in signal-to-noise ratio, an increase in average precipitation events, and an increase in extremes.



G. Villarini acknowledges financial support from NOAA’s Climate Program Office’s Modeling, Analysis, Predictions, and Projections Program, Grant #NA15OAR4310073, from the Broad Agency Announcement Program and the Engineer Research and Development Center–Cold Regions Research and Engineering Laboratory under Contract W913E5-16-C-0002 and from Grant/Cooperative Agreement Number G11 AP20079 from the United States Geological Survey. The content of this study is solely the responsibility of the authors and does not necessarily represent the official views of NOAA, USACE, or USGS. The computations were performed on Helium and Neon clusters of High Performance Computing (HPC) at the University of Iowa. We thank Dr. Kaustubh Salvi for his help with some of the figures. The comments by three anonymous reviewers and the editors are gratefully acknowledged.

Supplementary material

704_2017_2231_MOESM1_ESM.docx (17.9 mb)
ESM 1 (DOCX 18322 kb)


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Copyright information

© Springer-Verlag GmbH Austria 2017

Authors and Affiliations

  1. 1.Department of Civil EngineeringIndian Institute of Technology DelhiNew DelhiIndia
  2. 2.IIHR-Hydroscience & EngineeringThe University of IowaIowa CityUSA

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