Statistical Modelling of the Annual Rainfall Pattern in Guanacaste, Costa Rica

Rainfall in Guanacaste, Costa Rica, has marked wet/dry phases: the rainy season is punctuated by a short midsummer drought, and the dry season frequently has months of no rain. In this region, spring and summer rainfall peaks are important for local rain-fed agriculture and annual total for groundwa...

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Main Authors: Rachel MacKay Altman, Ofir Harari, Nadya Moisseeva, Douw Steyn
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Water
Subjects:
Online Access:https://www.mdpi.com/2073-4441/15/4/700
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author Rachel MacKay Altman
Ofir Harari
Nadya Moisseeva
Douw Steyn
author_facet Rachel MacKay Altman
Ofir Harari
Nadya Moisseeva
Douw Steyn
author_sort Rachel MacKay Altman
collection DOAJ
description Rainfall in Guanacaste, Costa Rica, has marked wet/dry phases: the rainy season is punctuated by a short midsummer drought, and the dry season frequently has months of no rain. In this region, spring and summer rainfall peaks are important for local rain-fed agriculture and annual total for groundwater recharge and hydroelectricity production. We propose a novel model of rainfall in this region, the double-Gaussian model, which uses monthly total rainfall data collected from 1980 to 2020 from two meteorological observation stations. Our model provides an intuitive way of describing the seasonality of rainfall, the inter-annual variability of the cycle, and variability due to the monthly Oceanic Niño Index, ONI. We also consider two alternative models, a regression model with ARMA errors and a Tweedie model, as a means of assessing the robustness of our conclusions to violations of the assumptions of the double-Gaussian model. We found that the data provide strong evidence of an increase/decrease in rainfall in both temporal maxima during La Niña/El Niño (negative/positive ONI) conditions but no evidence of a decade-scale trend after accounting for ONI effects. Finally, we investigated the problem of forecasting future rainfall based on our three models. We found that when ONI is incorporated as a predictor variable, our models can produce substantial gains in prediction accuracy of spring, summer, and annual totals over naive methods based on monthly sample means or medians.
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spelling doaj.art-1de605278a4544f5af48a2305eb3d8a52023-11-16T23:52:18ZengMDPI AGWater2073-44412023-02-0115470010.3390/w15040700Statistical Modelling of the Annual Rainfall Pattern in Guanacaste, Costa RicaRachel MacKay Altman0Ofir Harari1Nadya Moisseeva2Douw Steyn3Department of Statistics and Actuarial Science, Simon Fraser University, Burnaby, BC V5A 1S6, CanadaDepartment of Statistics and Actuarial Science, Simon Fraser University, Burnaby, BC V5A 1S6, CanadaDepartment of Earth, Ocean and Atmospheric Sciences, The University of British Columbia, Vancouver, BC V6T 1Z4, CanadaDepartment of Earth, Ocean and Atmospheric Sciences, The University of British Columbia, Vancouver, BC V6T 1Z4, CanadaRainfall in Guanacaste, Costa Rica, has marked wet/dry phases: the rainy season is punctuated by a short midsummer drought, and the dry season frequently has months of no rain. In this region, spring and summer rainfall peaks are important for local rain-fed agriculture and annual total for groundwater recharge and hydroelectricity production. We propose a novel model of rainfall in this region, the double-Gaussian model, which uses monthly total rainfall data collected from 1980 to 2020 from two meteorological observation stations. Our model provides an intuitive way of describing the seasonality of rainfall, the inter-annual variability of the cycle, and variability due to the monthly Oceanic Niño Index, ONI. We also consider two alternative models, a regression model with ARMA errors and a Tweedie model, as a means of assessing the robustness of our conclusions to violations of the assumptions of the double-Gaussian model. We found that the data provide strong evidence of an increase/decrease in rainfall in both temporal maxima during La Niña/El Niño (negative/positive ONI) conditions but no evidence of a decade-scale trend after accounting for ONI effects. Finally, we investigated the problem of forecasting future rainfall based on our three models. We found that when ONI is incorporated as a predictor variable, our models can produce substantial gains in prediction accuracy of spring, summer, and annual totals over naive methods based on monthly sample means or medians.https://www.mdpi.com/2073-4441/15/4/700precipitationCosta Ricastatistical modellingOceanic Niño Indextime trends
spellingShingle Rachel MacKay Altman
Ofir Harari
Nadya Moisseeva
Douw Steyn
Statistical Modelling of the Annual Rainfall Pattern in Guanacaste, Costa Rica
Water
precipitation
Costa Rica
statistical modelling
Oceanic Niño Index
time trends
title Statistical Modelling of the Annual Rainfall Pattern in Guanacaste, Costa Rica
title_full Statistical Modelling of the Annual Rainfall Pattern in Guanacaste, Costa Rica
title_fullStr Statistical Modelling of the Annual Rainfall Pattern in Guanacaste, Costa Rica
title_full_unstemmed Statistical Modelling of the Annual Rainfall Pattern in Guanacaste, Costa Rica
title_short Statistical Modelling of the Annual Rainfall Pattern in Guanacaste, Costa Rica
title_sort statistical modelling of the annual rainfall pattern in guanacaste costa rica
topic precipitation
Costa Rica
statistical modelling
Oceanic Niño Index
time trends
url https://www.mdpi.com/2073-4441/15/4/700
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