Marc Shapiro’s research while affiliated with Breakthrough and other places

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Publications (17)


Multivariate distribution of aircraft mass and nvPM EIn for one aircraft-engine group (light aircraft mass and nominal nvPM EIn, see Table 2) at 32 000 ft (9754 m, in blue) and 40 000 ft (12 192 m, in orange). The underlying data are provided by the 2019 Global Aviation emissions Inventory based on the Automatic Dependent Surveillance–Broadcast (ADS-B) (GAIA) (Teoh et al., 2024b). The multi-modal distribution of the aircraft mass and nvPM EIn is due to the inclusion of two comparable aircraft engine families (Boeing 737 and Airbus A320 families) in the same group, each exhibiting distinct operating characteristics. The variations in nvPM EIn with altitude results from changes in aircraft mass and air density, both of which influence the engine thrust settings and subsequently nvPM emissions (EASA, 2021).
Performance curves for the trajectory-based CoCiP (black line) and the grid-based CoCiP when it is configured using the exact/original aircraft-engine types (i.e. the same as the trajectory-based CoCiP; blue line) and with N=7 (orange line), N=3 (green line), and N=1 (red line) aircraft-engine groups respectively. Further methodological information used to construct these performance curves can be found in Appendix A5.
Pointwise errors between EFcontrailtraj and EFcontrailgrid when the grid-based CoCiP is configured (a) using the exact/original aircraft-engine types (i.e. the same as the trajectory-based CoCiP) and with (b) N=7, (c) N=3, and (d) N=1 aircraft-engine groups respectively. Each panel contains 107 randomly sampled flight waypoints. The axes use a logarithmic scale for |EFcontrail|>107 J m⁻¹ and a linear scale between 10⁻⁷ and 10⁷ J m⁻¹. For both axes, the box-like structures observed around 10⁻⁷ and 10⁷ J m⁻¹ arise from the transition between the linear and the logarithmic scale.
The (a) absolute EFcontrail per flight distance for the aircraft-engine group with nominal nvPM and the absolute difference in EFcontrail per flight distance between the (b) nominal and high-nvPM aircraft-engine group and (c) nominal and low-nvPM aircraft-engine group. The global contrail climate forcings shown here are simulated at FL360 (10 973 m) on 7 January 2019 at 03:00:00 UTC. The basemap was plotted using Cartopy 0.22.0 and sourced from Natural Earth; it is licensed under public domain.
Daily means of the percentage of airspace volume (a) globally and (b) over the North Atlantic region (between 40 and 63° N and 70 and 5° W) in 2019, where the EFcontrail per flight distance is (i) greater than 1.54×109 J m⁻¹ (95th percentile; blue lines), (ii) greater than 5.0×108 J m⁻¹ (80th percentile; orange lines), (iii) negative (i.e. cooling contrails; green lines), (iv) positive (i.e. warming contrails; red lines), and (v) non-zero (i.e. all contrails; black lines).

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Forecasting contrail climate forcing for flight planning and air traffic management applications: the CocipGrid model in pycontrails 0.51.0
  • Article
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January 2025

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72 Reads

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3 Citations

Zebediah Engberg

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Roger Teoh

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Tristan Abbott

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Marc L. Shapiro

The global annual mean contrail climate forcing may exceed that of aviation's cumulative CO2 emissions. As only 2 %–3 % of all flights are likely responsible for 80 % of the global annual contrail energy forcing (EFcontrail), re-routing these flights could reduce the occurrence of strongly warming contrails. Here, we develop a contrail forecasting tool that produces global maps of persistent contrail formation and their EFcontrail formatted to align with standard weather and turbulence forecasts for integration into existing flight planning and air traffic management workflows. This is achieved by extending the existing trajectory-based contrail cirrus prediction model (CoCiP), which simulates contrails formed along flight paths, to a grid-based approach that initializes an infinitesimal contrail segment at each point in a 4D spatiotemporal grid and tracks them until their end of life. Outputs are provided for N aircraft-engine groups, with groupings based on similarities in aircraft mass and engine particle number emissions: N=7 results in a 3 % mean error between the trajectory- and grid-based CoCiP, while N=3 facilitates operational simplicity but increases the mean error to 13 %. We use the grid-based CoCiP to simulate contrails globally using 2019 meteorology and compare its forecast patterns with those from previous studies. Two approaches are proposed to apply these forecasts for contrail mitigation: (i) monetizing EFcontrail and including it as an additional cost parameter within a flight trajectory optimizer or (ii) constructing polygons to avoid airspace volumes with strongly warming contrails. We also demonstrate a probabilistic formulation of the grid-based CoCiP by running it with ensemble meteorology and excluding grid cells with significant uncertainties in the simulated EFcontrail. This study establishes a working standard for incorporating contrail mitigation into flight management protocols and demonstrates how forecasting uncertainty can be incorporated to minimize unintended consequences associated with increased CO2 emissions from re-routes.

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Ground-based contrail observations: comparisons with reanalysis weather data and contrail model simulations

January 2025

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72 Reads

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2 Citations

Observations of contrails are vital for improving our understanding of the contrail formation and life cycle, informing models, and assessing mitigation strategies. Here, we developed a methodology that utilises ground-based cameras for tracking and analysing young contrails (< 35 min) formed under clear-sky conditions, comparing these observations against reanalysis meteorology and simulations from the contrail cirrus prediction model (CoCiP) with actual flight trajectories. Our observations consist of 14 h of video footage recorded over 5 different days in Central London, capturing 1582 flight waypoints from 281 flights. The simulation correctly predicted contrail formation and absence for around 75 % of these waypoints, with incorrect contrail predictions occurring at warmer temperatures than those with true-positive predictions (7.8 K vs. 12.8 K below the Schmidt–Appleman criterion threshold temperature). When evaluating contrails with observed lifetimes of at least 2 min, the simulation's correct prediction rate for contrail formation increases to over 85 %. Among all waypoints with contrail observations, 78 % of short-lived contrails (observed lifetimes < 2 min) formed under ice-subsaturated conditions, whereas 75 % of persistent contrails (observed lifetimes > 10 min) formed under ice-supersaturated conditions. On average, the simulated contrail geometric width was around 100 m smaller than the observed (visible) width over its observed lifetime, with the mean underestimation reaching up to 280 m within the first 5 min. Discrepancies between the observed and simulated contrail formation, lifetime, and width can be associated with uncertainties in reanalysis meteorology due to known model limitations and sub-grid-scale variabilities, contrail model simplifications, uncertainties in aircraft performance estimates, and observational challenges, among other possible factors. Overall, this study demonstrates the potential of ground-based cameras to create essential observational and benchmark datasets for validating and improving existing weather and contrail models.


Fig. 1 | Successful contrail avoidance as seen on the PACE panel. The PACE panel shows the vertical profile (purple) of a late ascent contrail avoidance maneuver. A contrail likely zone (CLZ) is shown in gray, just above the left side of the flight path. The pilot originally planned to fly at FL360 (36,000 feet), the level of the gray line. By staying at FL320 (32,000 feet) for part of the flight, the CLZ was avoided and no detectable contrails were created.
Fig. 2 | GOES-16 satellite perspective of original and wind-advected flight paths, with contrail detections. Example of one frame of the GOES-16 satellite imagery sequence over the Gulf Coast area. This was used for labeling whether American Airlines flight 189 created a detectable contrail. Thick lines show the original flight path and wind-advected flight trajectory, along with contrails detected by the computer vision system 21 . Other advected flight paths have a variety of lighter colors on thinner lines. In this case the alignment between the advected flight path and the observed contrail led the evaluators to conclude that this flight made a detectable contrail.
Feasibility test of per-flight contrail avoidance in commercial aviation

December 2024

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30 Reads

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2 Citations

Communications Engineering

Contrails, formed by aircraft engines, are a major component of aviation’s impact on anthropogenic climate change. Contrail avoidance is a potential option to mitigate this warming effect, however, uncertainties surrounding operational constraints and accurate formation prediction make it unclear whether it is feasible. Here we address this gap with a feasibility test through a randomized controlled trial of contrail avoidance in commercial aviation at the per-flight level. Predictions for regions prone to contrail formation came from a physics-based simulation model and a machine learning model. Participating pilots made altitude adjustments based on contrail formation predictions for flights assigned to the treatment group. Using satellite-based imagery we observed 64% fewer contrails in these flights relative to the control group flights, a statistically significant reduction (p = 0.0331). Our targeted per-flight intervention allowed the airline to track their expected vs actual fuel usage, we found that there is a 2% increase in fuel per adjusted flight. This study demonstrates that per-flight detectable contrail avoidance is feasible in commercial aviation.


A flow diagram to determine the performance curves for short-term and climatological contrail EF prediction.
Scatter plots between predictions and ground truth. Intra-ensemble scatter for ERA5 is shown on the left and ERA5/IAGOS scatter is shown on the right. Ice super-saturation region (ISSR) misprediction quadrants are outlined with red boxes.
Mean EFpcm calculated for each 10 degrees of latitude, 3 hours of time of day, three months out of the year, all of the flight levels and all of the parameter samples. Error bars are available in the Supplemental material.
Contrails avoided if we try to avoid the top 20% of contrail distance. With perfect knowledge, we would avoid all contrails above a certain threshold and none of the ones below it. With imperfect knowledge we avoid all contrails whose predicted forcing is above some threshold (indicated by dots in the figure), but the proxy forcing may be smaller. We can see that even with this imperfect knowledge, using short-term predictions we end up avoiding almost all contrails with high EFpcm, and few of the contrails we avoid have a small EFpcm. Each point in the figure represents an average of all the contrails with proxy EFpcm within 60 MJ/m of that point.
Performance curves showing trade-offs between contrail distance avoided vs contrail forcing avoided for different predictions. The Perfect knowledge curve shows how this tradeoff could work if one knew the weather exactly. The other curves show how the tradeoff would work using short-term and climatological predictions.
The effect of uncertainty in humidity and model parameters on the prediction of contrail energy forcing

September 2024

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124 Reads

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1 Citation

Previous work has shown that while the net effect of aircraft condensation trails (contrails) on the climate is warming, the exact magnitude of the energy forcing per meter of contrail remains uncertain. In this paper, we explore the skill of a Lagrangian contrail model (CoCiP) in identifying flight segments with high contrail energy forcing. We find that skill is greater than climatological predictions alone, even accounting for uncertainty in weather fields and model parameters. We estimate the uncertainty due to humidity by using the ensemble ERA5 weather reanalysis from the European Centre for Medium-Range Weather Forecasts (ECMWF) as Monte Carlo inputs to CoCiP. We unbias and correct under-dispersion on the ERA5 humidity data by forcing a match to the distribution of in situ humidity measurements taken at cruising altitude. We take CoCiP energy forcing estimates calculated using one of the ensemble members as a proxy for ground truth, and report the skill of CoCiP in identifying segments with large positive proxy energy forcing. We further estimate the uncertainty due to model parameters in CoCiP by performing Monte Carlo simulations with CoCiP model parameters drawn from uncertainty distributions consistent with the literature. When CoCiP outputs are averaged over seasons to form climatological predictions, the skill in predicting the proxy is 44%, while the skill of per-flight CoCiP outputs is 84%. If these results carry over to the true (unknown) contrail EF, they indicate that per-flight energy forcing predictions can reduce the number of potential contrail avoidance route adjustments by 2x, hence reducing both the cost and fuel impact of contrail avoidance.


Figure 1. For each contrail segment, the location in the LIDAR return is estimated to be centered
Figure 2. Calculations of depolarization for a mixture of ice particles (anisotropic) with loss
Figure 3. Empirical Probability Density Function (PDF) estimates of a) the volume
Figure 4. Depolarization ratios (y-axis) plotted against the base-10 logarithm of extinction
Black Carbon Inclusion in Aviation-Induced Cirrus Induces Increased Depolarization

June 2024

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36 Reads

Black carbon emitted in the aircraft exhaust plume has the potential to seed cirrus clouds, as well as modify optical properties of existing clouds. Optical differences between natural- and aviation-induced cirrus are not well characterized or understood. This study combines datasets containing advected aircraft locations with two sources of LIDAR observations. We find that ice clouds that correspond to the locations of aircraft exhaust plumes show higher depolarization ratios (mean increase of 3.36% [95% CI: 3.19% to 3.54%]). This increase in depolarization occurs without a proportional increase in backscatter, but with a large increase in extinction (mean increase from 5.58e-5 [95% CI: 3.70e-5 to 7.50e-5] to 1.78e-4 [95% CI: 1.38e-4 to 2.17e-4]). Using linear optical scattering theory, we show that these changes are well explained by the inclusion of black carbon within the ice crystals. No suitable explanation has previously been offered to explain this measured increase in depolarization.


Forecasting contrail climate forcing for flight planning and air traffic management applications: The CocipGrid model in pycontrails 0.51.0

June 2024

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108 Reads

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1 Citation

The global annual mean contrail net radiative forcing may exceed that of aviation’s cumulative CO2 emissions by at least two-fold. As only around 2–3 % of all flights are likely responsible for 80 % of the global annual contrail climate forcing, re-routing these flights could reduce the formation of strongly warming contrails. Here, we develop a contrail forecasting model that produces global predictions of persistent contrail formation and their associated climate forcing. This model builds on the methods of the existing contrail cirrus prediction model (CoCiP) to efficiently evaluate infinitesimal contrail segments initialized at each point in a regular 4D spatiotemporal grid until their end-of-life. Outputs are reported in a concise meteorology data format that integrates with existing flight planning and air traffic management workflows. This “grid-based” CoCiP is used to conduct a global contrail simulation for 2019 to compare with previous work and analyze spatial trends related to strongly warming/cooling contrails. We explore two approaches for integrating contrail forecasts into existing flight planning and air traffic management systems: (i) using contrail forcing as an additional cost parameter within a flight trajectory optimizer; or (ii) constructing polygons of airspace volumes with strongly-warming contrails to avoid. We demonstrate a probabilistic formulation of the grid-based model by running a Monte Carlo simulation with ensemble meteorology to mask grid cells with significant uncertainties in the simulated contrail climate forcing. This study establishes a working standard for incorporating contrail mitigation within existing flight planning and management workflows and demonstrates how forecasting uncertainty can be incorporated to minimize unintended consequences associated with increased CO2 emissions of avoidance.


Ground-based contrail observations: comparisons with flight telemetry and contrail model estimates

June 2024

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77 Reads

Observations of contrail are vital for improving understanding of contrail formation and lifecycle, informing models, and assessing contrail mitigation strategies. Ground-based cameras offer a cost-effective means to observe the formation and evolution of young contrails and can be used to assess the accuracy of existing models. Here, we develop a methodology to track and analyse contrails from ground-based cameras, comparing these observations against simulations from the contrail cirrus prediction model (CoCiP) with actual flight trajectories. The ground-based contrail observations consist of 14 h of video footage recorded on five different days over Central London, capturing a total of 1,619 flight waypoints from 283 unique flights. Our results suggest that the best agreement between the observed and simulated contrail formation occurs at around 35,000–40,000 feet and at temperatures at least 10 K below the Schmidt-Appleman Criterion threshold temperature (TSAC). Conversely, the largest discrepancies occurred when contrails are formed below 30,000 feet and at temperatures within 2.5 K of TSAC. On average, the simulated contrail width is 17.5 % smaller than the observed geometric width. This discrepancy could be caused by the underestimation of sub-grid scale wind shear and turbulent mixing in the simulation, and model representation of the contrail cross-sectional shape. Overall, these findings demonstrate the capability of ground-based cameras to inform weather and contrail model development when combined with flight telemetry.


Global aviation contrail climate effects from 2019 to 2021

May 2024

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113 Reads

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25 Citations

The current best-estimate of the global annual mean radiative forcing (RF) attributable to contrail cirrus is thought to be 3 times larger than the RF from aviation's cumulative CO2 emissions. Here, we simulate the global contrail RF for 2019–2021 using reanalysis weather data and improved engine emission estimates along actual flight trajectories derived from Automatic Dependent Surveillance–Broadcast telemetry. Our 2019 global annual mean contrail net RF (62.1 mW m-2) is 44 % lower than current best estimates for 2018 (111 [33, 189] mW m-2, 95 % confidence interval). Regionally, the contrail net RF is largest over Europe (876 mW m-2) and the USA (414 mW m-2), while the RF values over East Asia (64 mW m-2) and China (62 mW m-2) are close to the global average, because fewer flights in these regions form persistent contrails resulting from lower cruise altitudes and limited ice supersaturated regions in the subtropics due to the Hadley Circulation. Globally, COVID-19 reduced the flight distance flown and contrail net RF in 2020 (-43 % and -56 %, respectively, relative to 2019) and 2021 (-31 % and -49 %, respectively) with significant regional variations. Around 14 % of all flights in 2019 formed a contrail with a net warming effect, yet only 2 % of all flights caused 80 % of the annual contrail energy forcing. The spatiotemporal patterns of the most strongly warming and cooling contrail segments can be attributed to flight scheduling, engine particle number emissions, tropopause height, and background radiation fields. Our contrail RF estimates are most sensitive to corrections applied to the global humidity fields, followed by assumptions on the engine particle number emissions, and are least sensitive to radiative heating effects on the contrail plume and contrail–contrail overlapping. Using this sensitivity analysis, we estimate that the 2019 global contrail net RF could range between 34.8 and 74.8 mW m-2.


Feasibility of contrail avoidance in a commercial flight planning system: an operational analysis

March 2024

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464 Reads

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13 Citations

Aircraft condensation trails, also known as contrails, contribute a substantial portion of aviation’s overall climate footprint. Contrail impacts can be reduced through smart flight planning that avoids contrail-forming regions of the atmosphere. While previous studies have explored the operational impacts of contrail avoidance in simulated environments, this paper aims to characterize the feasibility and cost of contrail avoidance precisely within a commercial flight planning system. This study leverages the commercial Flightkeys 5D (FK5D) algorithm, developed by Flightkeys GmbH, with a prototypical contrail forecast model based on the Contrail Cirrus Prediction (CoCiP) model to simulate contrail avoidance on 49,411 flights during the first two weeks of June 2023, and 35,429 flights during the first two weeks of January 2024. The utilization of a commercial flight planning system enables high-accuracy estimates of additional cost and fuel investments by operators to achieve estimated reductions in contrail-energy forcing and overall flight Global Warming Potential (GWP). The results show that navigational contrail avoidance will require minimal additional cost (0.08%) and fuel (0.11%) investments to achieve notable reductions in contrail climate forcing (-73.0%). This simulation provides evidence that contrail mitigation entails very low operational risks, even regarding fuel. This study aims to serve as an incentive for operators and air traffic controllers to initiate contrail mitigation testing as soon as possible and begin reducing aviation’s non-CO2 emissions.


A scalable system to measure contrail formation on a per-flight basis

January 2024

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96 Reads

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11 Citations

Persistent contrails make up a large fraction of aviation’s contribution to global warming. We describe a scalable, automated detection and matching (ADM) system to determine from satellite data whether a flight has made a persistent contrail. The ADM system compares flight segments to contrails detected by a computer vision algorithm running on images from the GOES-16 Advanced Baseline Imager. We develop a ‘flight matching’ algorithm and use it to label each flight segment as a ‘match’ or ‘non-match’. We perform this analysis on 1.6 million flight segments. The result is an analysis of which flights make persistent contrails several orders of magnitude larger than any previous work. We assess the agreement between our labels and available prediction models based on weather forecasts. Shifting air traffic to avoid regions of contrail formation has been proposed as a possible mitigation with the potential for very low Persistent contrails are a major part of aviation’s contribution to climate change, and it may be possible to prevent them. This paper describes a method of assessing whether a flight made a contrail that can be scaled to cover all global air traffic.


Citations (14)


... We ran a gridded version of the model, which evaluates CoCiP on a regular spatiotemporal grid rather than requiring flight waypoints. In order to translate gridded outputs into CLZs, authors of this work examined visualizations of the energy forcing of each grid point predicted by the model 20 and assessed its agreement with the ML model prediction. We used ECMWF's high-resolution forecasts as input to CoCiP 27 . ...

Reference:

Feasibility test of per-flight contrail avoidance in commercial aviation
Forecasting contrail climate forcing for flight planning and air traffic management applications: the CocipGrid model in pycontrails 0.51.0

... While observational tools such as satellite imagery and ground-based cameras have been used for observing contrail formation and evolution (Duda et al., 2019;Low et al., 2025;Mannstein et al., 2010;Rosenow et al., 2023;Schumann et al., 2013a;Vázquez-Navarro et al., 2015), estimates of the cumulative contrail climate forcing over their entire life cycle are currently only available through simulationbased models. Various physics-based modelling approaches have been employed for this purpose, including (i) largeeddy simulations (LESs) (Lewellen, 2014;Lewellen et al., 2014;Unterstrasser, 2016) and (ii) parameterized Lagrangian models, such as the Contrail Cirrus Prediction Model (Co-CiP) (Schumann, 2012); Contrail Evolution and Radiation Model (CERM) (Caiazzo et al., 2017); and Aircraft Plume Chemistry, Emissions, and Microphysics Model (APCEMM) (Fritz et al., 2020). ...

Ground-based contrail observations: comparisons with reanalysis weather data and contrail model simulations

... Yet, decarbonizing aviation is challenging. Aircraft rely on energy-dense liquid hydrocarbons and emit nitrogen oxides and condensation trails, which influence radiative forcing 1,2 . In 2019, carbon dioxide emissions from global aviation reached more than a gigaton of carbon 3 . ...

Feasibility test of per-flight contrail avoidance in commercial aviation

Communications Engineering

... Contrails which persist until the diffusion regime can spread up to ~40 km horizontally (Schumann et al., 2017) and hence have the potential to have a disproportionate climate impact. Teoh et al. (2024) shows that 10 % of flights which form persistent contrails (2 % of all flights) account for 80 % of the global annual energy forcing from contrails. For this reason, this investigation only considers the models in the diffusion regime. ...

Global aviation contrail climate effects from 2019 to 2021

... Once the ERA5 RHi values are corrected, we can feed them to the CoCiP Lagrangian model of contrail energy forcing [42,46]. We use an implementation of CoCiP published in the open-source pycontrails repository (v0.42.0) [48] that can also evaluate arbitrary grid waypoints independently and in parallel [13,49]. ...

Forecasting contrail climate forcing for flight planning and air traffic management applications: The CocipGrid model in pycontrails 0.51.0

... ISSR Threshold for Temperature ISSR Threshold for RHI [4,[10][11][12][13][14][15][24][25][26]28,29,32,33] <−40 °C >100% [2] <−40 °C >80% [6] <−40 °C >90% [30] <−53.15 °C >110% [17,31] <−40 °C >95% ...

Feasibility of contrail avoidance in a commercial flight planning system: an operational analysis

... The total Jet-A fuel consumption for 2024/25 is known to be 14.04 EJ from IATA [84] and Boeing's CASCADE tool [85]. Long-haul aviation contributes to 37% [86] -43% [87] of the total aviation fleet CO2 emissions. Therefore, the energy demand for long-haul aviation is presently 37% -43% of 14.04 EJ. ...

The high-resolution Global Aviation emissions Inventory based on ADS-B (GAIA) for 2019–2021

... • Validating the properties of contrails after the fact is useful for both scientific and regulatory purposes. It is currently often possible to observationally validate whether a given flight has made a persistent contrail [58,59], however the total EF produced by a contrail is difficult to estimate from observations. ...

A scalable system to measure contrail formation on a per-flight basis

... These contrails can overlap and merge with other contrails in traffic-congested areas, forming extended ice cloud layers with non-uniform shapes, depths, and durations. Persistent contrails may also merge with or form in natural cirri [17]. Irregular-shaped contrail cirri cannot be distinguished easily from natural cirri, hampering their observation. ...

Global aviation contrail climate effects from 2019 to 2021

... Recent research has intensified in this area, notably supported by initiatives such as Google's Project Contrails [2]. This research has focused on the automatic detection of contrails in satellite images using machine learning techniques [3], [4], estimating areas where contrails are likely to form, and optimizing flight trajectories to avoid contrail formation [5], [6]. The use of ground-based cameras has also been investigated as another source of images, an effort announced by the EUROCONTROL [7]. ...

Linear Contrails Detection, Tracking and Matching with Aircraft Using Geostationary Satellite and Air Traffic Data