4.5 Article

The half-order energy balance equation - Part 2: The inhomogeneous HEBE and 2D energy balance models

Related references

Note: Only part of the references are listed.
Article Meteorology & Atmospheric Sciences

An observation-based scaling model for climate sensitivity estimates and global projections to 2100

Raphael Hebert et al.

Summary: This study makes global temperature projections based on historical data and a Climate Response Function, estimating model and forcing parameters through Bayesian inference. The 2100 projections show that to keep the warming below 1.5 K, emissions must undergo cuts similar to RCP 2.6.

CLIMATE DYNAMICS (2021)

Article Meteorology & Atmospheric Sciences

The fractional energy balance equation

Shaun Lovejoy et al.

Summary: The Fractional Energy Balance Equation introduces complex climate sensitivities and describes the process of temperature relaxation to equilibrium when the Earth is perturbed, with stability and finite climate sensitivity. Solving the FEBE using Green's functions results in solutions with power law limits in high and low frequencies.

QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY (2021)

Article Meteorology & Atmospheric Sciences

Using regional scaling for temperature forecasts with the Stochastic Seasonal to Interannual Prediction System (StocSIPS)

Lenin Del Rio Amador et al.

Summary: StocSIPS is a stochastic model that utilizes statistical scale symmetries in the atmospheric fields to make long-term forecasts, solving temperature predictions by addressing fractional order relaxation equations. Compared to traditional global circulation models, StocSIPS is able to better simulate real-world climate without suffering from model drift.

CLIMATE DYNAMICS (2021)

Article Geosciences, Multidisciplinary

Long-Range Forecasting as a Past Value Problem: Untangling Correlations and Causality With Scaling

L. Del Rio Amador et al.

Summary: Granger causality analysis demonstrates that spatial correlations in temperature are not useful for improving predictions based on long memory, indicating that long-term stochastic temperature forecasting is a past value problem. The m-StocSIPS model, despite reproducing teleconnection patterns and El Nino events, does not have causal relationships between different locations useful for long-range predictions. Real-world statistics and teleconnection patterns can be accurately represented through stochastic simulations without causal relationships.

GEOPHYSICAL RESEARCH LETTERS (2021)

Article Geosciences, Multidisciplinary

The half-order energy balance equation - Part 1: The homogeneous HEBE and long memories

Shaun Lovejoy

Summary: This study focuses on advancements in energy balance models, addressing issues with radiative-conductive surface boundary conditions and introducing the half-ordered energy balance equation. Research on periodically forced Earth systems is conducted, explaining the phase lag between summer maximum forcing and maximum surface temperature response using a semi-empirical model.

EARTH SYSTEM DYNAMICS (2021)

Article Astronomy & Astrophysics

Topography of (exo)planets

F. Landais et al.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2019)

Article Meteorology & Atmospheric Sciences

Predicting the global temperature with the Stochastic Seasonal to Interannual Prediction System (StocSIPS)

Lenin Del Rio Amador et al.

CLIMATE DYNAMICS (2019)

Article Multidisciplinary Sciences

Spectra, intermittency, and extremes of weather, macroweather and climate

S. Lovejoy

SCIENTIFIC REPORTS (2018)

Article Mathematics

Babenko's Approach to Abel's Integral Equations

Chenkuan Li et al.

MATHEMATICS (2018)

Article Computer Science, Software Engineering

A NetCDF version of the two-dimensional energy balance model based on the full multigrid algorithm

Kelin Zhuang et al.

SOFTWAREX (2017)

Article Meteorology & Atmospheric Sciences

How accurately do we know the temperature of the surface of the earth?

S. Lovejoy

CLIMATE DYNAMICS (2017)

Article Multidisciplinary Sciences

Parameter estimation for energy balance models with memory

Lionel Roques et al.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2014)

Article Geosciences, Multidisciplinary

Do GCMs predict the climate ... or macroweather?

S. Lovejoy et al.

EARTH SYSTEM DYNAMICS (2013)

Article Geosciences, Multidisciplinary

Haar wavelets, fluctuations and structure functions: convenient choices for geophysics

S. Lovejoy et al.

NONLINEAR PROCESSES IN GEOPHYSICS (2012)

Article Meteorology & Atmospheric Sciences

EARTH'S GLOBAL ENERGY BUDGET

Kevin E. Trenberth et al.

BULLETIN OF THE AMERICAN METEOROLOGICAL SOCIETY (2009)

Article Thermodynamics

Fractional-diffusion solutions for transient local temperature and heat flux

VV Kulish et al.

JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME (2000)