EGU21-7501, updated on 04 Mar 2021
EGU General Assembly 2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.

Combining statistical learning and geostatistical approaches in a spatiotemporal framework for low flow estimation

Johannes Laimighofer1, Michael Melcher1, Juraj Parajka2, and Gregor Laaha1
Johannes Laimighofer et al.
  • 1University of Natural Resources and Life Sciences, Institute of Statistics, Department of Landscape, Spatial and Infrastructure Sciences, Austria
  • 2Vienna University of Technology, Institute for Hydraulic and Water Resources Engineering, Austria

This paper aims to develop a spatiotemporal model to estimate monthly low flow quantiles Q95 [P(Q<Q95=0.05)] standardized by catchment area in Austria. Our dataset consists of 325 gauging stations that where consistently monitored between 1976 to 2015, and it covers about 60% of the national territory of Austria.

In a first step we are adapting a spatiotemporal model initially designed for modeling air pollution data. This approach is based on empirical orthogonal functions (EOF), that should capture the temporal structure of the spatiotemporal model. The EOFs are weighted by regression coefficients estimated by universal kriging. We extend the model by using GLM-boosting, LASSO, Principal Component Regression (PCR) and Random Forest (RF) for selecting the regression coefficients of the EOFs. Furthermore, we do not limit the kriging structure of the residual field to geographical coordinates but use a broader approach of physiographic kriging. In a second step we implement separate models for the mean parts of the model and the residual parts of the model. The mean field is defined by statistical learning methods as RF, GAM-boosting, LASSO and Support Vector Machines (SVM). For the residual field we define two different approaches, either the method developed in the first step or spatiotemporal kriging.

Model performance is evaluated by cross validation and the best model is selected by the mean squared error (MSE).


How to cite: Laimighofer, J., Melcher, M., Parajka, J., and Laaha, G.: Combining statistical learning and geostatistical approaches in a spatiotemporal framework for low flow estimation, EGU General Assembly 2021, online, 19–30 Apr 2021, EGU21-7501,, 2021.

Display materials

Display file

Comments on the display material

to access the discussion