Design and evaluation of methodology for nonstationary precipitation frequency analysis in the Northeastern United States

Momcilo MARKUS , Shu WU , Fuyao WANG , David LORENZ , Seid KORIC , Kevin GRADY , James ANGEL

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Front. Earth Sci. ›› DOI: 10.1007/s11707-025-1196-4
RESEARCH ARTICLE
Design and evaluation of methodology for nonstationary precipitation frequency analysis in the Northeastern United States
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Abstract

Observed data show an increase in the intensity and frequency of heavy precipitation events in various parts of the United States and other geographic regions worldwide, and projected climate data suggest these trends are likely to continue. Consequently, the conventional belief in the stationarity of precipitation time series and the traditional statistical frequency methodologies are now outdated. The nonstationary nature of heavy precipitation data necessitates the development of new approaches for frequency analysis to better represent the present day and projected precipitation frequency. This paper describes a framework to translate future climate scenarios into the nonstationary precipitation frequency estimates needed for hydrologists, developers, water managers, environmental planners, and other professionals. Two main approaches were designed to estimate time-varying precipitation frequency depths for multiple future time horizons up to 2075 based on the climate model runs from 1960 to 2100. One approach involves dividing the time period into sub-periods, treating each sub-period as stationary. This piecewise stationary method is referred to as the quasi-stationary (QS) approach. The second approach, referred to as the nonstationary (NS) approach, expresses precipitation frequency distribution statistics as a function of annual precipitation, time, or other covariates. These approaches were applied to the Northeastern United States for different data sources (LOCA vs. UWPD), types of data (AMS vs. PDS), and scenarios (RCP4.5 vs. RCP8.5). The study findings highlight the distinctive variations between different approaches and assumptions. A sensitivity analysis was conducted to identify critical decision points and assumptions in the modeling process. These results aim to assist researchers and practitioners in making informed choices for future nonstationary precipitation frequency studies. Keywords precipitation frequency, nonstationary precipitation data, climate change

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Momcilo MARKUS, Shu WU, Fuyao WANG, David LORENZ, Seid KORIC, Kevin GRADY, James ANGEL. Design and evaluation of methodology for nonstationary precipitation frequency analysis in the Northeastern United States. Front. Earth Sci. DOI:10.1007/s11707-025-1196-4

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References

[1]

Angel J R, Markus M, Wang K A, Kerschner B M, Singh S (2020). Precipitation Frequency Study for Illinois. ISWS Bulletin 75.Illinois State Water Survey,

[2]

Bonnin G M, Martin D, Lin B, Parzybok T, Yekta M, Riley D (2006). Precipitation-Frequency Atlas of the United States. NOAA Atlas 14, Vol. 3, 65 pp

[3]

Cheng L, AghaKouchak A, Gilleland E, Katz R W (2014). Non-stationary extreme value analysis in a changing climate.Clim Change, 127(2): 353–369

[4]

Coles S (2001). Extremes of non-stationary sequences. In: An Introduction to Statistical Modeling of Extreme Values. Springer Series in Statistics. London: Springer, 105–123

[5]

Dunne J P, Hewitt H T, Arblaster J, Bonou F, Boucher O, Cavazos T, Durack P J, Hassler B, Juckes M, Miyakawa T, Mizielinski M, Naik V, Nicholls Z, O’Rourke E, Pincus R, Sanderson B M, Simpson I R, Taylor K E (2024). An evolving Coupled Model Intercomparison Project phase 7 (CMIP7) and fast track in support of future climate assessment. EGUsphere, 2024

[6]

Easterling D R, Kunkel K E, Arnold J R, Knutson T, LeGrande A N, Leung L R, Vose R S, Waliser D E, Wehner M F (2017). Precipitation change in the United States. In: Wuebbles D J, Fahey D W, Hibbard K A, Dokken D J, Stewart B C, Maycock T K, eds. Climate Science Special Report: Fourth National Climate Assessment. U. S. Global Change Research Program: Washington, DC, USA, Volume, I, pp. 207–230

[7]

Fowler H J, Mearns L O, Wilby R L (2025). Downscaling Future Climate Projections: Compounding uncertainty but adding value? In: Mearns L O, Forest C E, Fowler H J, Lempert R, Wilby R L, eds. Uncertainty in Climate Change Research. Springer, Cham

[8]

Grady K, Markus M, Wu S, Wang F, Koric S (2023). Assessment of the benefits of climate model weights for ensemble analysis in three urban precipitation frequency studies.J Am Water Resour Assoc, 59(3): 498–509

[9]

HDSC (2022). Analysis of Impact of Nonstationary Climate on NOAA Atlas 14 Estimates (pp. 1–275). See hdsc.nws.noaa.gov/pub/hdsc/data/papers/NA14_Assessment_report_202201v1.pdf website

[10]

Hershfield D M (1961). Rainfall Frequency Atlas of the United States. U. S. Weather Bur. Tech. Pap., 40: 111 pp

[11]

Hoerling M, Eischeid J, Perlwitz J, Quan X W, Wolter K, Cheng L (2016). Characterizing recent trends in U. S. heavy precipitation. J Clim, 29(7): 2313-2332

[12]

Huang H P, Winter J M, Osterberg E C, Horton R M, Beckage B (2017). Total and extreme precipitation changes over the Northeastern United States.J Hydrometeorol, 18(6): 1783–1798

[13]

Huff F A, Angel J R (1989). Frequency Distributions and Hydroclimatic Characteristics of Heavy Rainstorms in Illinois (Bulletin 70). Illinois State Water Survey, Champaign, IL

[14]

IPCC (2014). Climate Change 2014: Synthesis Report. Contribution of Working Groups I, II and III to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change; Pachauri, R. K., Meyer, L. A. , Eds.; IPCC: Geneva, Switzerland, 151p

[15]

IPCC (2021). Climate Change 2021: The Physical Science Basis. Contribution of Working Group I to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change [Masson-Delmotte, V. , P. Zhai, A. Pirani, S. L. Connors, C. Péan, S. Berger, N. Caud, Y. Chen, L. Goldfarb, M. I. Gomis, M. Huang, K. Leitzell, E. Lonnoy, J. B. R. Matthews, T. K. Maycock, T. Waterfield, O. Yelekçi, R. Yu, and B. Zhou (eds. )]. Cambridge University Press, Cambridge, United Kingdom and New York, NY, USA

[16]

Knutti R (2010). The end of model democracy.Clim Change, 102: 395–404

[17]

Kunkel K E, Stevens L E, Stevens S E, Sun L Q, Janssen E, Wuebbles D, Rennells J, Degaetano A, Dobson J G (2013). Regional climate trends and scenarios for the U. S. National Climate Assessment: Part. 1—Climate of the Northeast; NOAA Technical report NESDIS 142–1; U. S. Department of Commerce: Washington, DC, USA

[18]

Lafferty D C, Sriver R L (2023). Downscaling and bias-correction contribute considerable uncertainty to local climate projections in CMIP6.NPJ Clim Atmos Sci, 6: 158

[19]

Langbein W B (1949). Annual floods and the partial-duration flood series.Trans Am Geophys Union, 30(6): 879–881

[20]

Lopez-Cantu T, Prein A F, Samaras C (2020). Uncertainties in future U. S. extreme precipitation from downscaled climate projections.Geophysical Research Letters, 47: e2019GL086797

[21]

Lorenz D J (2015). Downscaled climate projections. See djlorenz.github.io/downscaling2/main.html website (last accessed on June 27, 2024)

[22]

Madsen H, Pearson C P, Rosbjerg D (1997). Comparison of annual maximum series and partial duration series methods for modeling extreme hydrologic events regional modeling.Water Resour Res, 33(4): 759–769

[23]

Maraun D, Wetterhall F, Ireson A M, Chandler R E, Kendon E J, Widmann M, Brienen S, Rust H W, Sauter T, Themeßl M, Venema V K C, Chun K P, Goodess C M, Jones R G, Onof C, Vrac M, Thiele-Eich I (2010). Precipitation downscaling under climate change: recent developments to bridge the gap between dynamical models and the end user.Rev Geophys, 48(3): RG3003

[24]

Markus M, Angel J R, Yang L, Hejazi M I (2007). Changing estimates of design precipitation in Northeastern Illinois: comparison between different sources and sensitivity analysis.J Hydrol (Amst), 347(1−2): 211–222

[25]

Markus M, Angel J, Woolford K, Wang K, Singh S, Kerschner B (2023). Illinois State Water Survey Bulletin 75: new precipitation frequency study for Illinois.J Am Water Resour Assoc, 59(3): 466–480

[26]

Markus M, Wu S (2025). Projected Precipitation Frequency for Illinois. Illinois State Water Survey Bulletin 76, Champaign, IL. Seewww.ideals.illinois.edu/items/132431 website

[27]

Melillo J M, Richmond T C, Yohe G W (2014). Climate Change Impacts in the United States: The Third National Climate Assessment. U. S. Government Printing Office: Washington, DC, USA, p. 841

[28]

Notaro M, Lorenz D J, Vimont D, Vavrus S, Kucharik C, Franz K (2011). 21st century Wisconsin snow projections based on an operational snow model driven by statistically downscaled climate data.Int J Climatol, 31(11): 1615–1633

[29]

Ossandón A, Rajagopalan B, Kleiber W (2021). Spatial-temporal multivariate semi-Bayesian hierarchical framework for extreme precipitation frequency analysis.J Hydrol (Amst), 600(May): 126499

[30]

Perica S, Pavlovic S, Laurent M S, Trypaluk C, Unruh D, Martin D, Wilhite O (2019). NOAA Atlas 14. Volume 10, Version 3, Precipitation-frequency atlas of the United States. Northeastern States. National Weather Service, Silver Spring, MD

[31]

Pierce D W, Cayan D R, Thrasher B L (2014). Statistical downscaling using localized constructed analogs (LOCA).J Hydrometeor, 15: 2558–2585

[32]

Salas J D, Obeysekera J, Vogel R M (2018). Techniques for assessing water infrastructure for nonstationary extreme events: a review.Hydrol Sci J, 63(3): 325–352

[33]

Schlef K E, Kunkel K E, Brown C, Demissie Y, Lettenmaier D P, Wagner A, Wigmosta M S, Karl T R, Easterling D R, Wang K J, François B, Yan E (2023). Incorporating non-stationarity from climate change into rainfall frequency and intensity-duration-frequency (IDF) curves.J Hydrol (Amst), 616: 128757

[34]

Winters B A, Angel J R, Ballerine C, Byard J, Flegel A, Gambill D, Jenkins E, McConkey S, Markus M, Bender B A, O’Toole M J (2015). Report for the Urban Flooding Awareness Act. Springfield, IL: Illinois Department of Natural Resources. See hdl.handle.net/2142/78150 website

[35]

Wootten A M, Dixon K W, Adams-Smith D J, McPherson R A (2021). Statistically downscaled precipitation sensitivity to gridded observation data and downscaling technique.Int J Climatol, 41(2): 980–1001

[36]

Wootten A, Terando A, Reich B J, Boyles R P, Semazzi F (2017). Characterizing sources of uncertainty from global climate models and downscaling techniques.J Appl Meteorol Climatol, 56(12): 3245–3262

[37]

Wu S, Markus M, Lorenz L, Angel J R, Grady K (2019). A comparative analysis of the historical accuracy of the point precipitation frequency estimates of four data sets and their projections for the northeastern United States.Water, 11(6): 1279

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