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Comparison of missing value imputation methods in time series: the case of Turkish meteorological data
Date
2013-04-01
Author
Yozgatlıgil, Ceylan
İyigün, Cem
Batmaz, İnci
Metadata
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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This study aims to compare several imputation methods to complete the missing values of spatio-temporal meteorological time series. To this end, six imputation methods are assessed with respect to various criteria including accuracy, robustness, precision, and efficiency for artificially created missing data in monthly total precipitation and mean temperature series obtained from the Turkish State Meteorological Service. Of these methods, simple arithmetic average, normal ratio (NR), and NR weighted with correlations comprise the simple ones, whereas multilayer perceptron type neural network and multiple imputation strategy adopted by Monte Carlo Markov Chain based on expectation-maximization (EM-MCMC) are computationally intensive ones. In addition, we propose a modification on the EM-MCMC method. Besides using a conventional accuracy measure based on squared errors, we also suggest the correlation dimension (CD) technique of nonlinear dynamic time series analysis which takes spatio-temporal dependencies into account for evaluating imputation performances. Depending on the detailed graphical and quantitative analysis, it can be said that although computational methods, particularly EM-MCMC method, are computationally inefficient, they seem favorable for imputation of meteorological time series with respect to different missingness periods considering both measures and both series studied. To conclude, using the EM-MCMC algorithm for imputing missing values before conducting any statistical analyses of meteorological data will definitely decrease the amount of uncertainty and give more robust results. Moreover, the CD measure can be suggested for the performance evaluation of missing data imputation particularly with computational methods since it gives more precise results in meteorological time series.
Subject Keywords
North-Atlantic Oscillation
,
Temperature Variability
,
Monthly Precipitation
,
Minimum Temperatures
,
Rainfall Variations
,
Strange Attractors
,
Forest Climatology
,
Turkey
,
Maximum
,
Trends
URI
https://hdl.handle.net/11511/42652
Journal
THEORETICAL AND APPLIED CLIMATOLOGY
DOI
https://doi.org/10.1007/s00704-012-0723-x
Collections
Department of Statistics, Article
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C. Yozgatlıgil, C. İyigün, and İ. Batmaz, “Comparison of missing value imputation methods in time series: the case of Turkish meteorological data,”
THEORETICAL AND APPLIED CLIMATOLOGY
, pp. 143–167, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42652.