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Multilevel Random Slope Approach and Nonparametric Inference for River Temperature, Under Haphazard Sampling

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Machine Learning and Data Mining Approaches to Climate Science

Abstract

Environmental scientists face multiple challenges when analyzing unevenly recorded time series with small sample sizes. For example, trends in water temperature may be confounded with time and date of sampling when the latter represent convenience samples and thus introduce bias into regression estimates. We address these concerns using multilevel random slope models and nonparametric bootstrap inference for assessing the statistical significance of the annual trend in river temperature when measurement times and dates are haphazard.

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References

  • Araujo HA, Cooper AB, Hassan MA, Venditti J (2012) Estimating suspended sediment concentrations in areas with limited hydrological data using a mixed-effects model. Hydrol Process 26(24):3678–3688

    Article  Google Scholar 

  • Freedman DA (1981) Bootstrapping regression models. Ann Stat 9:1218–1228

    Article  Google Scholar 

  • Gilleland E (2010a) Confidence intervals for forecast verification. NCAR Technical Note NCAR/TN-479+STR. https://opensky.library.ucar.edu/collections/TECH-NOTE-000-000-000-846

  • Gilleland E (2010b) Confidence intervals for forecast verification: practical considerations. http://www.rap.ucar.edu/~ericg/Gilleland2010.pdf

  • Kasurak A, Kelly R, Brenning A (2009) Mixed-effects regression for snow distribution modeling in the Central Yukon. In: The 66th eastern snow conference, Niagara-on-the-Lake

    Google Scholar 

  • Lewis J (2006) Fixed and mixed-effects models for multi-watershed experiments. In: Proceedings of the 3rd federal interagency hydrologic modeling conference, 2–6 Apr 2006, Reno

    Google Scholar 

  • Liu RY, Singh K (1992) Efficiency and robustness in resampling. Ann Stat 20(1):370–384

    Article  Google Scholar 

  • Preud’homme EB, Stefan HG (1992) Errors related to random stream temperature data collection in upper Mississippi river watershed. J Am Water Resour Assoc 28(6):1077–1082

    Article  Google Scholar 

  • Qian SS, Cuffney TF, Alameddine I, McMahon G, Reckhow KH (2010) On the application of multilevel modeling in environmental and ecological studies. Ecology 91(2):355–361

    Article  Google Scholar 

  • Roberts J, Fan X (2004) Bootstrapping within the multilevel/hierarchical linear modeling framework: a primer for use with SAS and SPLUS. Mult Linear Regres Viewp 30(1):23–34

    Google Scholar 

  • Shang J, Cavanaugh JE (2008) An assumption for the development of bootstrap variants of the Akaike information criterion in mixed models. Stat Probab Lett 78(12):1422–1429

    Article  Google Scholar 

  • van der Leeden R, Meijer E, Busing FMTA (2008) Resampling multilevel models. Handbook of multilevel analysis. Springer, New York, pp 401–433

    Google Scholar 

Download references

Acknowledgements

Authors thank anonymous reviewers for their helpful comments and suggestions. The research is supported by the US Army Corps of Engineers – Upper Mississippi River Restoration – Environmental Management Program, Natural Sciences and Engineering Research Council of Canada, and Mitacs Canada.

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Correspondence to Vyacheslav Lyubchich .

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Lyubchich, V., Gray, B.R., Gel, Y.R. (2015). Multilevel Random Slope Approach and Nonparametric Inference for River Temperature, Under Haphazard Sampling. In: Lakshmanan, V., Gilleland, E., McGovern, A., Tingley, M. (eds) Machine Learning and Data Mining Approaches to Climate Science. Springer, Cham. https://doi.org/10.1007/978-3-319-17220-0_13

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