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Material for 'Statistical-Topographical Mapping of Rainfall Over Mountainous Terrain Using Beta Scaling'


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Type: Resource
Storage: The size of this resource is 1.9 GB
Created: Apr 07, 2023 at 4 p.m.
Last updated: Apr 25, 2023 at 12:32 p.m.
DOI: 10.4211/hs.fa0007d553ae4c8682dd9c464e91913d
Citation: See how to cite this resource
Content types: Single File Content  Geographic Feature Content  Multidimensional Content  Geographic Raster Content 
Sharing Status: Published
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Abstract

This resource belongs to the manuscript "Statistical-Topographical Mapping of Rainfall Over Mountainous Terrain Using Beta Scaling". It collects the R code and the data needed to reproduce the analyses and generate the figures.

We present a robust approach for quantitative precipitation estimation (QPE) for water resources management in mountainous catchments, where rainfall sums and variability are correlated with orographic elevation, but density of rain gauges does not allow for advanced geostatistical interpolation of rainfall fields.
Key of the method is modelling rainfall at unobserved locations by their elevation-dependent expected daily mean, and a daily fluctuation which is determined by spatial interpolation of the residuals of neighbouring rain gauges, which are scaled according to the elevation difference. The scaling factor is defined as the ratio of covariance and variance, in analogy to the "beta" used in economics.
The approach is illustrated for the Chirilu catchments (Chillón, Rímac, Lurín) in the Andes near Lima, Peru. The results are compared to conventional IDW interpolation and a merged national rainfall product. The method results in QPE that are better matching with observed discharges. The β-IDW approach thus provides a robust and flexible means to estimate rainfall input to mesoscale mountainous catchments.

Subject Keywords

Coverage

Spatial

Coordinate System/Geographic Projection:
WGS 84 EPSG:4326
Coordinate Units:
Decimal degrees
Place/Area Name:
Chirilu
North Latitude
-11.3000°
East Longitude
-76.0000°
South Latitude
-12.3000°
West Longitude
-77.2000°

Temporal

Start Date:
End Date:

Content

README.md

betaIDW

Material for the paper of Wienhoefer, Alcamo, Bondy & Zehe, submitted to Water Resources Research

(c) 2023 Jan Wienhoefer

Usage

The analyses were done using the R programming environment.

Copy the files and subdirectories into a working directory on your computer.

Folder structure

      /data/
      /figs/
      /R/
      /R/functions
      /runs

Open and run the script "main.r" at the root level of the resource. In default form, the analyses and figures are reproduced using existing data from the folder "/runs". To reproduce the calculations, set "make.calculations = TRUE" before executing the respective part from the main script. Warning: This can take several hours.

Further comments are in the scripts.

Data Services

The following web services are available for data contained in this resource. Geospatial Feature and Raster data are made available via Open Geospatial Consortium Web Services. The provided links can be copied and pasted into GIS software to access these data. Multidimensional NetCDF data are made available via a THREDDS Data Server using remote data access protocols such as OPeNDAP. Other data services may be made available in the future to support additional data types.

Credits

Funding Agencies

This resource was created using funding from the following sources:
Agency Name Award Title Award Number
Federal Ministry of Education and Research of Germany TRUST 02WGR1426A-G

How to Cite

Wienhöfer, J. (2023). Material for 'Statistical-Topographical Mapping of Rainfall Over Mountainous Terrain Using Beta Scaling', HydroShare, https://doi.org/10.4211/hs.fa0007d553ae4c8682dd9c464e91913d

This resource is shared under the Creative Commons Attribution CC BY.

http://creativecommons.org/licenses/by/4.0/
CC-BY

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