That doesn't seem to be the case in climate science: there is a gigantic gap between first principles and
the climate modeling equations, and rather fundamental new mechanisms are being discovered every decade or two it seems.
Not exact matches
This is because the
models are based on
equations representing the best understanding of the physical processes that govern
climate, and in 2001 they were not fine - tuned to reproduce the most recent data.
Many previous
models also assume independence between
climate models, whereas this paper accounts for commonalities shared by various
models — such as physical
equations or fluid dynamics — and correlates between data sets.
For that half of the sun - blocking
equation, Bergin turned to Drew Shindell, professor of
climate sciences at Duke and an expert in using the NASA GISS Global Climate
climate sciences at Duke and an expert in using the NASA GISS Global
ClimateClimate Model.
A global
climate model or general circulation
model aims to describe
climate behavior by integrating a variety of fluid - dynamical, chemical, or even biological
equations that are either derived directly from physical laws (e.g.
With an underlying scientific
climate equation created by environmental economist Dr. Yoram Bauman, players are sure to experience hours of entertainment in a provocative and satirical, yet realistically -
modeled simulation genre.
While some of the
equations in
climate models are based on the laws of physics, many key processes in the
model are only approximated and are not directly related to physical laws.
This describes an improvement on an old method for solving systems of
equations which may be useful in computation fluid mechanics, and
climate models, according to the paper.
(1) In this case even if they were correct and the
models failed to predict or match reality (which, acc to this post has not been adequately established, bec we're still in overlapping data and
model confidence intervals), it could just as well mean that AGW stands and the modelers have failed to include some less well understood or unquantifiable earth system variable into the
models, or there are other unknowns within our weather /
climate / earth systems, or some noise or choas or catastrophe (whose
equation has not been found yet) thing.
Hence, it is possible that incorporation of this multifaceted CO2 - induced cooling effect into the suite of
equations that comprise the current generation of global
climate models might actually tip the climatic scales in favor of global cooling in the face of continued growth of anthropogenic CO2 emissions.»
Not only is the
climate of the Lorenz
model easy to understand, it is also simple to predict how it will respond to a variety of «external forcings», in the form of either a parameter perturbation or direct forcing term in the dynamical
equations.
«''»»» Bill Illis says: January 10, 2011 at 6:29 pm George E. Smith, I'm the one who said the Clausius - Clapeyron
equations indicate there should be a 7 % increase per degree C. All the
climate model build in 6 % to 8 % for this amount.
Syllabus: Lecture 1: Introduction to Global Atmospheric
Modelling Lecture 2: Types of Atmospheric and
Climate Models Lecture 3: Energy Balance
Models Lecture 4: 1D Radiative - Convective
Models Lecture 5: General Circulation
Models (GCMs) Lecture 6: Atmospheric Radiation Budget Lecture 7: Dynamics of the Atmosphere Lecture 8: Parametrizations of Subgrid - Scale Physical Processes Lecture 9: Chemistry of the Atmosphere Lecture 10: Basic Methods of Solving
Model Equations Lecture 11: Coupled Chemistry -
Climate Models (CCMs) Lecture 12: Applications of CCMs: Recent developments of atmospheric dynamics and chemistry Lecture 13: Applications of CCMs: Future Polar Ozone Lecture 14: Applications of CCMs: Impact of Transport Emissions Lecture 15: Towards an Earth System
Model
The lecture gives an overview of the main components of global
climate models and explains the underlying basics and the numerical formulation of the fundamental
equations.
so if I am reading it correctly the
equation is based on the result of
climate models.
«The
climate model is run, using standard numerical
modeling techniques, by calculating the changes indicated by the
model's
equations over a short increment of time — 20 minutes in the most advanced GCMs — for one cell, then using the output of that cell as inputs for its neighboring cells.
«Willis builds a strawman Willis makes a logical fallacy known as the strawman fallacy here, when he says: The current
climate paradigm says that the surface air temperature is a linear function of the «forcing»... Change in Temperature (∆ T) = Change in Forcing (∆ F) times Climate Sensitivity What he seems to have done is taking an equation relating to a simple energy balance model (probably from this Wikipedia entry) and applied it to the much more complex climate
climate paradigm says that the surface air temperature is a linear function of the «forcing»... Change in Temperature (∆ T) = Change in Forcing (∆ F) times
Climate Sensitivity What he seems to have done is taking an equation relating to a simple energy balance model (probably from this Wikipedia entry) and applied it to the much more complex climate
Climate Sensitivity What he seems to have done is taking an
equation relating to a simple energy balance
model (probably from this Wikipedia entry) and applied it to the much more complex
climate climate system.
Definitions of «feedback» in use by
climate scientists today are limited to Arrhenius»
equations and to computer
models.
Both use the
equations apparently derived from the 1D
model to calculate
climate sensitivity.
They can't even predict the next decade, much less ten decades; despite tuning they only poorly replicate the historical
climate; their
equations can't be shown to converge; the number of tunable parameters is far too large for comfort; they show absolutely no skill at regional scales; their results for things they are not tuned to replicate (e.g. rainfall) are abysmal — in short they are glorified Tinkertoy ™
models which have one common characteristic... they don't work well.
The
climate system is in some way similar, except that the constants in the Lorenz
model are being changed by the forcing (CO2 content can be regarded as a slowly varying constant in those
equations).
The 1 - D
climate model uses physically based
equations to determine changes in the
climate system as a result of changes in solar intensity, ice reflectance and greenhouse gas changes.
This spread results because the
model equations provide a deterministic set of results that each can be different since the
climate is a chaotic nonlinear system both in the
model, and even more so in the real world.
The consequences of the latter are of great importance to
climate change
modelling, indicating that continuous differential
equation dynamic
models can not work.
In a system such as the
climate, we can never include enough variables to describe the actual system on all relevant length scales (e.g. the butterfly effect — MICROSCOPIC perturbations grow exponentially in time to drive the system to completely different states over macroscopic time) so the best that we can often do is
model it as a complex nonlinear set of ordinary differential
equations with stochastic noise terms — a generalized Langevin
equation or generalized Master
equation, as it were — and average behaviors over what one hopes is a spanning set of butterfly - wing perturbations to assess whether or not the resulting system trajectories fill the available phase space uniformly or perhaps are restricted or constrained in some way.
Any change in a
model can produce divergent solutions that are not predictable beforehand — it is the nature of the nonlinear Navier - Stokes
equations — this extends to the range of uncertainty in
climate data and to the number and breadth of couplings.
Some people think that because the
climate models contain only
equations based upon fluid dynamics and thermodynamics that that makes them valid.
For a
climate model that has some correlation with the past data the
model estimates should be converted into a recalibrated estimate using the regression
equation.
And then you have to accept that the
climate models do a very poor job of predicting CO2 - AGW because the
equation introduced by Lacis and Hansen in 1974 to predict cloud albedo change from pollution is useless even though Sagan derived it.
A
climate model is, as I've already stated, merely an ensemble of
equations which are computed in order to analyze the properties of the
climate system and how they shift over time as the composition of the system changes.
Point two suggested an alternative between «This needs to be demonstrated either in the context of a more comprehensive scale analysis that includes the Navier Stokes
equations» and «numerical
model simulations using mesoscale or weather or
climate models.»
A
climate model divides the atmosphere, land, oceans, and whatever other features which are coupled to it into a finite grid, and integrates these
equations with respect to time and the environment.
«Our
climate simulations, using a simplified three - dimensional
climate model to solve the fundamental
equations for conservation of water, atmospheric mass, energy, momentum and the ideal gas law, but stripped to basic radiative, convective and dynamical processes, finds upturns in
climate sensitivity at the same forcings as found with a more complex global
climate model»
A
climate model is a sophisticated array of the physics
equations and dynamics which govern our atmosphere and the
climate system in general.
There is quite a difference between the Stefan - Boltzmann
equations (the fundamental
equations governing radiation physics and temperature) and the
climate models.
The fact that all the
models generally come up with similar solutions is a function of the initial assumptions and arbitrary «governors» on their
equations to prevent run - away solutions, not a testament to their ability to accurately
model real
climate.
Between this shortcut / mistake (which violates the Stephan - Boltzmann
equations and was copied by all the following
climate scientists) and through the
climate model's assumption of a constant linear lapse rate of 6C / kilometre when it is probably not constant), they have changed all the logarithmic radiation
equations into linear ones.
These
equations are written in different ways in the different
climate models, and somehow the interactions between the
equations produce
models with a high
climate sensitivity, or with a low
climate sensitivity.
Quotes from my hero, Nikola Tesla (10/07/1856 — 07/01/1943) On
climate models: «Today's scientists have substituted mathematics for experiments, and they wander off through
equation after
equation, and eventually build a structure which has no relation to reality.»
I sent Judith Curry (your coauthor) a link to my discussion about the
climate models using the wrong dynamical
equations with no response.
Simply using the calculated age factor in the multiplicative
model equation will give wrong results for the
climate factor for those trees.
Climate models are, at heart, giant bundles of equations — mathematical representations of everything we've learned about the climate
Climate models are, at heart, giant bundles of
equations — mathematical representations of everything we've learned about the
climate climate system.
For the atmospheric
equations of motion that system is not the hydrostatic
equations of motion that all
climate models are based on, e.g., vertical columnar heating does not lead to a solution that is smooth (large scale) in space.
Researchers project future
climate using
climate models — computer - based numerical simulations that use the
equations for fluid dynamics and energy transfer to represent atmospheric weather patterns and ocean circulation.
Put this all together, and you find that while individual solutions of the
climate equations may have predicted the slowed warming of the last few years, that single solution wasn't statistically valid as a projection and so was given only a small weight in the overall
model or multi-
model means.
Our
climate simulations, using a simplified three - dimensional
climate model to solve the fundamental
equations for conservation of water, atmospheric mass, energy, momentum and the ideal gas law, but stripped to basic radiative, convective and dynamical processes, finds upturns in
climate sensitivity at the same forcings as found with a more complex global
climate model [66].
Nor is there much understanding of the nonlinear
equations at the core of
climate models — and why that curtails
climate prediction.
So
climate scientists simulate regional changes by zooming in on global
models — using the same
equations, but solving them for a much larger number of grid points in particular locations.
It's plausible that this lag could take an entire solar cycle or that it started 2 decades ago and is one reason that the global
climate model projections have all been too warm (since they do not have
equations to represent this dynamic).
Outside of a few well known fluid dynamics
equations, the
climate models are really just algorithms trying to replicate past planetary
climate conditions (both from the recent past and the very distant past).