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The Math Behind Climate Models (in 4 levels of complexity)

math

snowball earth

climate model

math of climate

climate modelling

energy balance

boltzmann

climate change

global warming

greenhouse gas

ice age

Автор: Dr. Trefor Bazett

Загружено: 2025-04-29

Просмотров: 19080

Описание: Get better at MATH with Brilliant at https://brilliant.org/TreforBazett to get started for free and to get 20% off an annual premium subscription!

REFERENCES:
Image Credit for 0:12 Paul Hoffman (winner of the prestiguous Kyoto prize and fellow UVic professor!), including many great resources for the Snowball Earth: https://www.snowballearth.org/index.html
Level 1-2 energy balance model with one layer atmospheric effects is found many places, I used the specific values found in Eli Tziperman's Global Warming Science: https://courses.seas.harvard.edu/clim...
Level 3 model considering variable albedo code adapted from here: https://iow-lectures.pages.io-warnemu...
Level 4 one-dimensional model with lattitude bands more explanation here: https://www.e-education.psu.edu/meteo... and you can find MATLAB code for the model here: https://math.nyu.edu/~kleeman/one_dim...

♡♡♡SUPPORT THE CHANNEL♡♡♡
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0:00 The Snowball Earth Hypothesis
0:57 Level 1 - Energy Balance Model
3:22 Level 2 - Adding a one layer atmosphere
8:01 Level 3 - Variable Albedo effects
13:21 Level 4 -One Dimensional Model with latitude bands

COURSE PLAYLISTS:
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►CALCULUS I:    • Calculus I (Limits, Derivative, Integrals)...  
►CALCULUS II:    • Calculus II (Integration Methods, Series, ...  
►MULTIVARIABLE CALCULUS (Calc III):    • Calculus III: Multivariable Calculus (Vect...  
►VECTOR CALCULUS (Calc IV)    • Calculus IV: Vector Calculus (Line Integra...  
►DIFFERENTIAL EQUATIONS:    • Ordinary Differential Equations (ODEs)  
►LAPLACE TRANSFORM:    • Laplace Transforms and Solving ODEs  
►GAME THEORY:    • Game Theory  

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The Math Behind Climate Models (in 4 levels of complexity)

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