This course presents a comprehensive review of statistical approaches and methods that are essential
for the analysis of hydroclimatic data and for evaluating climate variability and change influences but
can also be of widespread interest for a general audience. The course emphasizes three main issues:
(1) data analysis, (2) statistical methodologies, and (3) application of techniques. The course provides
an exhaustive background and in-depth review of exploratory data analysis, statistical (both
parametric and nonparametric), and data mining methods to evaluate changes, trends, anomalies, and
extremes detection and appropriate treatment. Applications of statistical methods and practical
laboratory work with real-world data for climate change and variability assessments will be part of
this course.
This course presents a comprehensive review of statistical approaches and methods that are essential
for the analysis of hydroclimatic data and for evaluating climate variability and change influences but
can also be of widespread interest for a general audience. The course emphasizes three main issues:
(1) data analysis, (2) statistical methodologies, and (3) application of techniques. The course provides
an exhaustive background and in-depth review of exploratory data analysis, statistical (both
parametric and nonparametric), and data mining methods to evaluate changes, trends, anomalies, and
extremes detection and appropriate treatment. Applications of statistical methods and practical
laboratory work with real-world data for climate change and variability assessments will be part of
this course.
-
-
Understanding Hydroclimatic Data: Climate Change and Variability
Data: Observations and estimates; understanding climate variability and change especially from a
data perspective, data scarcity, exploratory data analysis, visual evaluation of time series data,
evaluation of spatial data and outlies, handling of data anomalies, summary statistics, univariate and
multivariate analysis: basics, smoothing methods and introduction to data mining and assimilation,
and time series analysis, development of univariate and multivariate forecasting approaches.
Parametric Statistical Methods
Introduction; Paired and unpaired tests, assessment of changes in statistical moments, changes in
distributions, Data transformations (e.g., Box-Cox transformation and others), Trends, and
Changepoint assessments. Detection of homogeneity.
Non-Parametric Statistical Methods
Introduction to rank-based methods, measures of associations, trends, and changes, changes in data:
moments, rank-based methods, assessment of homogeneity, evaluation of persistence, smoothing
methods, resampling methods (e.g., bootstrap).
Climate Variability Evaluation
Introduction to climate variability, manifestations of climate variability, coupled oceanic and
atmospheric oscillations, changes in essential climatic variables, assessment of changes in
precipitation, temperature, and streamflow, use of parametric and nonparametric methods, resampling
methods.
Climate Change and Stationarity Assessment
Introduction to climate change, downscaling, bias corrections, statistical methods for assessment of
climate change, stationarity and its assessment, frequency analysis, hydrologic design, and water
resources management under climate change and climate change adaptation.
Understanding Hydroclimatic Data: Climate Change and Variability
Data: Observations and estimates; understanding climate variability and change especially from a
data perspective, data scarcity, exploratory data analysis, visual evaluation of time series data,
evaluation of spatial data and outlies, handling of data anomalies, summary statistics, univariate and
multivariate analysis: basics, smoothing methods and introduction to data mining and assimilation,
and time series analysis, development of univariate and multivariate forecasting approaches.
Parametric Statistical Methods
Introduction; Paired and unpaired tests, assessment of changes in statistical moments, changes in
distributions, Data transformations (e.g., Box-Cox transformation and others), Trends, and
Changepoint assessments. Detection of homogeneity.
Non-Parametric Statistical Methods
Introduction to rank-based methods, measures of associations, trends, and changes, changes in data:
moments, rank-based methods, assessment of homogeneity, evaluation of persistence, smoothing
methods, resampling methods (e.g., bootstrap).
Climate Variability Evaluation
Introduction to climate variability, manifestations of climate variability, coupled oceanic and
atmospheric oscillations, changes in essential climatic variables, assessment of changes in
precipitation, temperature, and streamflow, use of parametric and nonparametric methods, resampling
methods.
Climate Change and Stationarity Assessment
Introduction to climate change, downscaling, bias corrections, statistical methods for assessment of
climate change, stationarity and its assessment, frequency analysis, hydrologic design, and water
resources management under climate change and climate change adaptation.