The Principal Component Linear Spline Quantile Regression Model in Statistical Downscaling for Rainfall Data

Information regarding rainfall can be obtained from global data, namely the global climate model that can be accessed through the statistical downscaling approach. Linear spline quantile regression with principal component is a statistical method that can be employed in statistical downscaling to ad...

Full description

Saved in:
Bibliographic Details
Main Authors: Andi Yulianti, Anna Islamiyati, Erna Herdiani
Format: Article
Language:English
Published: University of Tehran 2024-04-01
Series:Journal of Sciences, Islamic Republic of Iran
Subjects:
Online Access:https://jsciences.ut.ac.ir/article_98199_9e08334e8c262046ad384e0f6acb3c1b.pdf
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850152673461927936
author Andi Yulianti
Anna Islamiyati
Erna Herdiani
author_facet Andi Yulianti
Anna Islamiyati
Erna Herdiani
author_sort Andi Yulianti
collection DOAJ
description Information regarding rainfall can be obtained from global data, namely the global climate model that can be accessed through the statistical downscaling approach. Linear spline quantile regression with principal component is a statistical method that can be employed in statistical downscaling to address multicollinearity and outliers in data by using nonparametric estimators. This method is applied to rainfall data in Pangkep Regency from January 2008 to December 2022 as the response variable and global climate model data as the predictor variable. The aim of this research is to obtain the best regression model used for predicting rainfall data. The results obtained indicate that statistical downscaling with two principal components at the 0.50 quantile with respective knot points of -10.20 and -0.30 is the best model with the lowest generalized cross-validation value. The forecasted rainfall data using this model shows a high level of accuracy with a correlation of 89%.
format Article
id doaj-art-b329d618bb754a4d8ca6c1eb5d335767
institution OA Journals
issn 1016-1104
2345-6914
language English
publishDate 2024-04-01
publisher University of Tehran
record_format Article
series Journal of Sciences, Islamic Republic of Iran
spelling doaj-art-b329d618bb754a4d8ca6c1eb5d3357672025-08-20T02:25:54ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142024-04-0135215916610.22059/jsciences.2024.375343.100786098199The Principal Component Linear Spline Quantile Regression Model in Statistical Downscaling for Rainfall DataAndi Yulianti0Anna Islamiyati1Erna Herdiani2Department of Statistics, Faculty of Mathematics and Natural Sciences, Hasanuddin University, Makassar, IndonesiaDepartment of Statistics, Faculty of Mathematics and Natural Sciences, Hasanuddin University, Makassar, IndonesiaDepartment of Statistics, Faculty of Mathematics and Natural Sciences, Hasanuddin University, Makassar, IndonesiaInformation regarding rainfall can be obtained from global data, namely the global climate model that can be accessed through the statistical downscaling approach. Linear spline quantile regression with principal component is a statistical method that can be employed in statistical downscaling to address multicollinearity and outliers in data by using nonparametric estimators. This method is applied to rainfall data in Pangkep Regency from January 2008 to December 2022 as the response variable and global climate model data as the predictor variable. The aim of this research is to obtain the best regression model used for predicting rainfall data. The results obtained indicate that statistical downscaling with two principal components at the 0.50 quantile with respective knot points of -10.20 and -0.30 is the best model with the lowest generalized cross-validation value. The forecasted rainfall data using this model shows a high level of accuracy with a correlation of 89%.https://jsciences.ut.ac.ir/article_98199_9e08334e8c262046ad384e0f6acb3c1b.pdfprincipal componentquantile regressionrainfallsplinestatistical downscaling
spellingShingle Andi Yulianti
Anna Islamiyati
Erna Herdiani
The Principal Component Linear Spline Quantile Regression Model in Statistical Downscaling for Rainfall Data
Journal of Sciences, Islamic Republic of Iran
principal component
quantile regression
rainfall
spline
statistical downscaling
title The Principal Component Linear Spline Quantile Regression Model in Statistical Downscaling for Rainfall Data
title_full The Principal Component Linear Spline Quantile Regression Model in Statistical Downscaling for Rainfall Data
title_fullStr The Principal Component Linear Spline Quantile Regression Model in Statistical Downscaling for Rainfall Data
title_full_unstemmed The Principal Component Linear Spline Quantile Regression Model in Statistical Downscaling for Rainfall Data
title_short The Principal Component Linear Spline Quantile Regression Model in Statistical Downscaling for Rainfall Data
title_sort principal component linear spline quantile regression model in statistical downscaling for rainfall data
topic principal component
quantile regression
rainfall
spline
statistical downscaling
url https://jsciences.ut.ac.ir/article_98199_9e08334e8c262046ad384e0f6acb3c1b.pdf
work_keys_str_mv AT andiyulianti theprincipalcomponentlinearsplinequantileregressionmodelinstatisticaldownscalingforrainfalldata
AT annaislamiyati theprincipalcomponentlinearsplinequantileregressionmodelinstatisticaldownscalingforrainfalldata
AT ernaherdiani theprincipalcomponentlinearsplinequantileregressionmodelinstatisticaldownscalingforrainfalldata
AT andiyulianti principalcomponentlinearsplinequantileregressionmodelinstatisticaldownscalingforrainfalldata
AT annaislamiyati principalcomponentlinearsplinequantileregressionmodelinstatisticaldownscalingforrainfalldata
AT ernaherdiani principalcomponentlinearsplinequantileregressionmodelinstatisticaldownscalingforrainfalldata