Understanding the Mechanical Biases of Tipping-Bucket Rain Gauges: A Semi-Analytical Calibration Approach

Tipping bucket rain gauges (TBR) are widely used worldwide because they are simple, cheap, and have low-energy consumption. However, their main disadvantage lies in measurement errors, such as those caused by rainfall intensity (RI) variation, which results in data underestimation, especially during...

Full description

Bibliographic Details
Main Authors: Daniel A. Segovia-Cardozo, Leonor Rodríguez-Sinobas, Andrés Díez-Herrero, Sergio Zubelzu, Freddy Canales-Ide
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Water
Subjects:
Online Access:https://www.mdpi.com/2073-4441/13/16/2285
id doaj-12d6ff8b6f7448f58250b867af9000f0
record_format Article
spelling doaj-12d6ff8b6f7448f58250b867af9000f02021-08-26T14:27:56ZengMDPI AGWater2073-44412021-08-01132285228510.3390/w13162285Understanding the Mechanical Biases of Tipping-Bucket Rain Gauges: A Semi-Analytical Calibration ApproachDaniel A. Segovia-Cardozo0Leonor Rodríguez-Sinobas1Andrés Díez-Herrero2Sergio Zubelzu3Freddy Canales-Ide4Research Group Hydraulics for Irrigation, Department Ingeniería Agroforestal, E.T.S.I. Agronómica, Alimentaria y Biosistemas, Universidad Politécnica de Madrid, Ciudad Universitaria s/n, 28040 Madrid, SpainResearch Group Hydraulics for Irrigation, Department Ingeniería Agroforestal, E.T.S.I. Agronómica, Alimentaria y Biosistemas, Universidad Politécnica de Madrid, Ciudad Universitaria s/n, 28040 Madrid, SpainGeological Hazards Division, Geological Survey of Spain, Instituto Geológico y Minero de España (IGME-CSIC), Ríos Rosas 23, 28003 Madrid, SpainResearch Group Hydraulics for Irrigation, Department Ingeniería Agroforestal, E.T.S.I. Agronómica, Alimentaria y Biosistemas, Universidad Politécnica de Madrid, Ciudad Universitaria s/n, 28040 Madrid, SpainResearch Group Hydraulics for Irrigation, Department Ingeniería Agroforestal, E.T.S.I. Agronómica, Alimentaria y Biosistemas, Universidad Politécnica de Madrid, Ciudad Universitaria s/n, 28040 Madrid, SpainTipping bucket rain gauges (TBR) are widely used worldwide because they are simple, cheap, and have low-energy consumption. However, their main disadvantage lies in measurement errors, such as those caused by rainfall intensity (RI) variation, which results in data underestimation, especially during extreme rainfall events. This work aims to understand these types of errors, identifying some of their causes through an analysis of water behavior and its effect on the TBR mechanism when RI increases. The mechanical biases of TBR effects on data were studied using 13 years of data measured at 10 TBRs in a mountain basin, and two semi-analytical approaches based on the TBR mechanism response to RI have been proposed, validated in the laboratory, and contrasted with a simple linear regression dynamic calibration and a static calibration through a root-mean-square error analysis in two different TBR models. Two main sources of underestimation were identified: one due to the cumulative surplus during the tipping movement and the other due to the surplus water contributed by the critical drop. Moreover, a random variation, not related to RI, was also observed, and three regions in the calibration curve were identified. Proposed calibration methods have proved to be an efficient alternative for TBR calibration, reducing data error by more than 50% in contrast with traditional static calibration.https://www.mdpi.com/2073-4441/13/16/2285rain gaugeundercatchmentprecipitationrainfall measurement error
collection DOAJ
language English
format Article
sources DOAJ
author Daniel A. Segovia-Cardozo
Leonor Rodríguez-Sinobas
Andrés Díez-Herrero
Sergio Zubelzu
Freddy Canales-Ide
spellingShingle Daniel A. Segovia-Cardozo
Leonor Rodríguez-Sinobas
Andrés Díez-Herrero
Sergio Zubelzu
Freddy Canales-Ide
Understanding the Mechanical Biases of Tipping-Bucket Rain Gauges: A Semi-Analytical Calibration Approach
Water
rain gauge
undercatchment
precipitation
rainfall measurement error
author_facet Daniel A. Segovia-Cardozo
Leonor Rodríguez-Sinobas
Andrés Díez-Herrero
Sergio Zubelzu
Freddy Canales-Ide
author_sort Daniel A. Segovia-Cardozo
title Understanding the Mechanical Biases of Tipping-Bucket Rain Gauges: A Semi-Analytical Calibration Approach
title_short Understanding the Mechanical Biases of Tipping-Bucket Rain Gauges: A Semi-Analytical Calibration Approach
title_full Understanding the Mechanical Biases of Tipping-Bucket Rain Gauges: A Semi-Analytical Calibration Approach
title_fullStr Understanding the Mechanical Biases of Tipping-Bucket Rain Gauges: A Semi-Analytical Calibration Approach
title_full_unstemmed Understanding the Mechanical Biases of Tipping-Bucket Rain Gauges: A Semi-Analytical Calibration Approach
title_sort understanding the mechanical biases of tipping-bucket rain gauges: a semi-analytical calibration approach
publisher MDPI AG
series Water
issn 2073-4441
publishDate 2021-08-01
description Tipping bucket rain gauges (TBR) are widely used worldwide because they are simple, cheap, and have low-energy consumption. However, their main disadvantage lies in measurement errors, such as those caused by rainfall intensity (RI) variation, which results in data underestimation, especially during extreme rainfall events. This work aims to understand these types of errors, identifying some of their causes through an analysis of water behavior and its effect on the TBR mechanism when RI increases. The mechanical biases of TBR effects on data were studied using 13 years of data measured at 10 TBRs in a mountain basin, and two semi-analytical approaches based on the TBR mechanism response to RI have been proposed, validated in the laboratory, and contrasted with a simple linear regression dynamic calibration and a static calibration through a root-mean-square error analysis in two different TBR models. Two main sources of underestimation were identified: one due to the cumulative surplus during the tipping movement and the other due to the surplus water contributed by the critical drop. Moreover, a random variation, not related to RI, was also observed, and three regions in the calibration curve were identified. Proposed calibration methods have proved to be an efficient alternative for TBR calibration, reducing data error by more than 50% in contrast with traditional static calibration.
topic rain gauge
undercatchment
precipitation
rainfall measurement error
url https://www.mdpi.com/2073-4441/13/16/2285
work_keys_str_mv AT danielasegoviacardozo understandingthemechanicalbiasesoftippingbucketraingaugesasemianalyticalcalibrationapproach
AT leonorrodriguezsinobas understandingthemechanicalbiasesoftippingbucketraingaugesasemianalyticalcalibrationapproach
AT andresdiezherrero understandingthemechanicalbiasesoftippingbucketraingaugesasemianalyticalcalibrationapproach
AT sergiozubelzu understandingthemechanicalbiasesoftippingbucketraingaugesasemianalyticalcalibrationapproach
AT freddycanaleside understandingthemechanicalbiasesoftippingbucketraingaugesasemianalyticalcalibrationapproach
_version_ 1721189330956845056