Control optimization of air traffic emissions in a two-variable dynamic model

Abstract Since 1999, every report released by the International Panel on Climate Change has advocated a decrease in the greenhouse gas emissions associated with aviation in order to preserve the current climate. This study used a two variable differential equations model with a non-linear control te...

Full description

Saved in:
Bibliographic Details
Main Authors: F. A. Buendía-Hernández, M. J. OrtizBevia, F. J. Alvarez-Garcia, A. RuizdeElvira, J. M. Salazar
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
Subjects:
Online Access:https://doi.org/10.1038/s41598-024-85086-5
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1841544785410654208
author F. A. Buendía-Hernández
M. J. OrtizBevia
F. J. Alvarez-Garcia
A. RuizdeElvira
J. M. Salazar
author_facet F. A. Buendía-Hernández
M. J. OrtizBevia
F. J. Alvarez-Garcia
A. RuizdeElvira
J. M. Salazar
author_sort F. A. Buendía-Hernández
collection DOAJ
description Abstract Since 1999, every report released by the International Panel on Climate Change has advocated a decrease in the greenhouse gas emissions associated with aviation in order to preserve the current climate. This study used a two variable differential equations model with a non-linear control term to address several aspects of the emissions stabilization issue. By optimizing the control term parameter, several management alternatives can be obtained based on the properties of the phase plane of the model solutions, as identified by a stability analysis. The system can be stabilised around an equilibrium point that maintains the present number of passengers, or maintains the emissions level or is nearest to its present state. Each of these options entails different issues of growth or reduction in the number of passengers and/or the emissions rate, directly obtained from the model results. The last option seems especially novel and promising, since only short-distance flight passengers are severely reduced, while long-distance and international passengers are allowed to growth, and their associated emissions are reduced to below 50 percent of their actual value. Moreover, in a scenario of slow growth in air traffic, these rates could improve, with fewer reductions in the number of short-distance passengers.
format Article
id doaj-art-e459501113384a3081ac38200d15a353
institution Kabale University
issn 2045-2322
language English
publishDate 2025-01-01
publisher Nature Portfolio
record_format Article
series Scientific Reports
spelling doaj-art-e459501113384a3081ac38200d15a3532025-01-12T12:17:59ZengNature PortfolioScientific Reports2045-23222025-01-0115111110.1038/s41598-024-85086-5Control optimization of air traffic emissions in a two-variable dynamic modelF. A. Buendía-Hernández0M. J. OrtizBevia1F. J. Alvarez-Garcia2A. RuizdeElvira3J. M. Salazar4Department of Physics and Mathematics, University of AlcaláDepartment of Physics and Mathematics, University of AlcaláDepartment of Physics and Mathematics, University of AlcaláDepartment of Physics and Mathematics, University of AlcaláDepartment of Physics and Mathematics, University of AlcaláAbstract Since 1999, every report released by the International Panel on Climate Change has advocated a decrease in the greenhouse gas emissions associated with aviation in order to preserve the current climate. This study used a two variable differential equations model with a non-linear control term to address several aspects of the emissions stabilization issue. By optimizing the control term parameter, several management alternatives can be obtained based on the properties of the phase plane of the model solutions, as identified by a stability analysis. The system can be stabilised around an equilibrium point that maintains the present number of passengers, or maintains the emissions level or is nearest to its present state. Each of these options entails different issues of growth or reduction in the number of passengers and/or the emissions rate, directly obtained from the model results. The last option seems especially novel and promising, since only short-distance flight passengers are severely reduced, while long-distance and international passengers are allowed to growth, and their associated emissions are reduced to below 50 percent of their actual value. Moreover, in a scenario of slow growth in air traffic, these rates could improve, with fewer reductions in the number of short-distance passengers.https://doi.org/10.1038/s41598-024-85086-5Air traffic emissionsTwo variable dynamic modelFlight types by distance travelledStability analysisNonlinear feedback controlEmissions stabilization
spellingShingle F. A. Buendía-Hernández
M. J. OrtizBevia
F. J. Alvarez-Garcia
A. RuizdeElvira
J. M. Salazar
Control optimization of air traffic emissions in a two-variable dynamic model
Scientific Reports
Air traffic emissions
Two variable dynamic model
Flight types by distance travelled
Stability analysis
Nonlinear feedback control
Emissions stabilization
title Control optimization of air traffic emissions in a two-variable dynamic model
title_full Control optimization of air traffic emissions in a two-variable dynamic model
title_fullStr Control optimization of air traffic emissions in a two-variable dynamic model
title_full_unstemmed Control optimization of air traffic emissions in a two-variable dynamic model
title_short Control optimization of air traffic emissions in a two-variable dynamic model
title_sort control optimization of air traffic emissions in a two variable dynamic model
topic Air traffic emissions
Two variable dynamic model
Flight types by distance travelled
Stability analysis
Nonlinear feedback control
Emissions stabilization
url https://doi.org/10.1038/s41598-024-85086-5
work_keys_str_mv AT fabuendiahernandez controloptimizationofairtrafficemissionsinatwovariabledynamicmodel
AT mjortizbevia controloptimizationofairtrafficemissionsinatwovariabledynamicmodel
AT fjalvarezgarcia controloptimizationofairtrafficemissionsinatwovariabledynamicmodel
AT aruizdeelvira controloptimizationofairtrafficemissionsinatwovariabledynamicmodel
AT jmsalazar controloptimizationofairtrafficemissionsinatwovariabledynamicmodel