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

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♡♡♡ ►Support on PATREON:   / drtrefor   ► CURIOSITY BOX: https://www.CuriosityBox.com/DrTrefor use CODE drtrefor for 25% off awesome STEM merch boxes ► MATH BOOKS I LOVE (affiliate link): https://www.amazon.com/shop/treforbazett 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: ►DISCRETE MATH:    • Discrete Math (Full Course: Sets, Logic, P...   ►LINEAR ALGEBRA:    • Linear Algebra (Full Course)   ►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   OTHER PLAYLISTS: ►Cool Math Series:    • Cool Math Series   ► Learning Math Series    • 5 Tips To Make Math Practice Problems Actu...   SOCIALS: ►X/Twitter: http://X.com/treforbazett ►TikTok:   / drtrefor   ►Instagram (photography based):   / treforphotography