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/climate/eli/Courses/EPS231/Sources/02-energy-balance-and-greenhouse/notes-energy-balance-and-greenhouse.pdf Level 3 model considering variable albedo code adapted from here: https://iow-lectures.pages.io-warnemuende.de/climateoftheearth/exercise/03_ice-albedo.html Level 4 one-dimensional model with lattitude bands more explanation here: https://www.e-education.psu.edu/meteo469/book/export/html/212#:~:text=Recall%20that%20the%20disparity%20in,and%20the%20equator%20increasingly%20war and you can find MATLAB code for the model here: https://math.nyu.edu/~kleeman/one_dim_ebm.html ♡♡♡SUPPORT THE CHANNEL♡♡♡ ►Support on PATREON: https://patreon.com/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: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS ►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6 ►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m ►CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n ►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd ►VECTOR CALCULUS (Calc IV) https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa ►DIFFERENTIAL EQUATIONS: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw ►LAPLACE TRANSFORM: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1 ►GAME THEORY: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX OTHER PLAYLISTS: ►Cool Math Series: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho ► Learning Math Series https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw SOCIALS: ►X/Twitter: http://X.com/treforbazett ►TikTok: http://tiktok.com/@drtrefor ►Instagram (photography based): http://instagram.com/treforphotography