Assessing Computational Complexity in Selecting Periods for LMDI Techniques in Energy‐Related Carbon Dioxide Emissions: An Alternative Approach

ABSTRACT The Logarithmic Mean Divisia Index (LMDI) decomposition analysis is widely employed to examine the drivers behind changes in carbon dioxide emissions related to energy consumption. This analysis has been applied using single‐period, year‐by‐year, and multi‐period time frames worldwide. Howe...

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Main Authors: Juan David Rivera‐Niquepa, Jose M. Yusta, Paulo M. De Oliveira‐De Jesus
Format: Article
Language:English
Published: Wiley 2025-07-01
Series:Energy Science & Engineering
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Online Access:https://doi.org/10.1002/ese3.70187
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author Juan David Rivera‐Niquepa
Jose M. Yusta
Paulo M. De Oliveira‐De Jesus
author_facet Juan David Rivera‐Niquepa
Jose M. Yusta
Paulo M. De Oliveira‐De Jesus
author_sort Juan David Rivera‐Niquepa
collection DOAJ
description ABSTRACT The Logarithmic Mean Divisia Index (LMDI) decomposition analysis is widely employed to examine the drivers behind changes in carbon dioxide emissions related to energy consumption. This analysis has been applied using single‐period, year‐by‐year, and multi‐period time frames worldwide. However, these time frames often overlook trend changes in carbon emission time series, which may lead to inaccurate and biased identification of driving factors. This study replicates previous findings and proposes a novel multi‐period methodology for defining time frames in decomposition analysis. The proposed approach addresses the limitations of traditional methods by accounting for trend changes in the time series and performing an exhaustive search to optimally identify the most suitable time frames for LMDI‐based decomposition. The methodology comprises two stages: the first generates an exhaustive list of possible time series partitions, and the second determines the optimal partition by minimizing the total mean square error (TMSE) using sequential linear models. The results, supported by computational performance tests, demonstrate that the proposed method effectively identifies optimal time frame definitions, making it particularly suitable for annualized case studies on carbon dioxide emissions decomposition in the context of the energy transition.
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spelling doaj-art-7d8a7332e0934d1282ecceccc0ad16d02025-08-20T03:11:46ZengWileyEnergy Science & Engineering2050-05052025-07-011373464347210.1002/ese3.70187Assessing Computational Complexity in Selecting Periods for LMDI Techniques in Energy‐Related Carbon Dioxide Emissions: An Alternative ApproachJuan David Rivera‐Niquepa0Jose M. Yusta1Paulo M. De Oliveira‐De Jesus2Department of Electrical and Electronic Engineering, School of Engineering Universidad de los Andes Bogota ColombiaDepartment of Electrical Engineering Universidad de Zaragoza Zaragoza SpainDepartment of Electrical and Electronic Engineering, School of Engineering Universidad de los Andes Bogota ColombiaABSTRACT The Logarithmic Mean Divisia Index (LMDI) decomposition analysis is widely employed to examine the drivers behind changes in carbon dioxide emissions related to energy consumption. This analysis has been applied using single‐period, year‐by‐year, and multi‐period time frames worldwide. However, these time frames often overlook trend changes in carbon emission time series, which may lead to inaccurate and biased identification of driving factors. This study replicates previous findings and proposes a novel multi‐period methodology for defining time frames in decomposition analysis. The proposed approach addresses the limitations of traditional methods by accounting for trend changes in the time series and performing an exhaustive search to optimally identify the most suitable time frames for LMDI‐based decomposition. The methodology comprises two stages: the first generates an exhaustive list of possible time series partitions, and the second determines the optimal partition by minimizing the total mean square error (TMSE) using sequential linear models. The results, supported by computational performance tests, demonstrate that the proposed method effectively identifies optimal time frame definitions, making it particularly suitable for annualized case studies on carbon dioxide emissions decomposition in the context of the energy transition.https://doi.org/10.1002/ese3.70187computational timeLMDImean square errorperiods selectiontime series
spellingShingle Juan David Rivera‐Niquepa
Jose M. Yusta
Paulo M. De Oliveira‐De Jesus
Assessing Computational Complexity in Selecting Periods for LMDI Techniques in Energy‐Related Carbon Dioxide Emissions: An Alternative Approach
Energy Science & Engineering
computational time
LMDI
mean square error
periods selection
time series
title Assessing Computational Complexity in Selecting Periods for LMDI Techniques in Energy‐Related Carbon Dioxide Emissions: An Alternative Approach
title_full Assessing Computational Complexity in Selecting Periods for LMDI Techniques in Energy‐Related Carbon Dioxide Emissions: An Alternative Approach
title_fullStr Assessing Computational Complexity in Selecting Periods for LMDI Techniques in Energy‐Related Carbon Dioxide Emissions: An Alternative Approach
title_full_unstemmed Assessing Computational Complexity in Selecting Periods for LMDI Techniques in Energy‐Related Carbon Dioxide Emissions: An Alternative Approach
title_short Assessing Computational Complexity in Selecting Periods for LMDI Techniques in Energy‐Related Carbon Dioxide Emissions: An Alternative Approach
title_sort assessing computational complexity in selecting periods for lmdi techniques in energy related carbon dioxide emissions an alternative approach
topic computational time
LMDI
mean square error
periods selection
time series
url https://doi.org/10.1002/ese3.70187
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AT josemyusta assessingcomputationalcomplexityinselectingperiodsforlmditechniquesinenergyrelatedcarbondioxideemissionsanalternativeapproach
AT paulomdeoliveiradejesus assessingcomputationalcomplexityinselectingperiodsforlmditechniquesinenergyrelatedcarbondioxideemissionsanalternativeapproach