Two days, 3 hours each day ------------------------------------------------------------------------ Supporting materials and assignments: http://www.seas.harvard.edu/climate/eli/Courses/misc/201209-Mallorca/ Day 1: Energy balance and ocean (1) Energy balance and climate bifurcations, Snowball Earth 1.1 Energy balance (energy-balance.ppt) 1.2 energy balance model, solutions, graphic method stability (energy_balance_0d.pdf) 1.3 saddle node bifurcation (lecture_02_bif1d1.pdf), two saddle nodes & hysteresis. 1.4 snowball earth (Boyle-snowball-MIT12.842-abbreviated.pdf) Assignment: question 1 (2) Ocean meridional overturning circulation (MOC)/ thermohaline circulation (THC) 2.1 Motivation (from EPS131: 1a-THC-belt.jpeg 1c-THC-cfc-animation-horizontal.gif 1d-THC-cfc-animation-vertical.mpg 1e-YouTube - The Day After Tomorrow.webloc 1g-Surface_air-T_deviations-from-zonal-mean-Rahmstrof.jpg) 2.2 Stommel 1961 model, bifurcations, multiple equilibria, hysteresis (from EPS131: 3-notes-THC-Stommel-model.pdf 1h-vellinga-wood-THC-collapse-Hadley-model.pdf 4b-Rahmstorf-et-al-2005-Stommel-bifurcation-GCM-intercomparison.pdf 6c-THC-in-global-warming-Bryden_etal_2005.pdf) 2.3 THC variability motivation: present day and past climate variability (from EPS131: 2a-rapid_transports2.png little ice age: slide #33, EPS-131-lecture-01-intro-2-phys-oceanogr.pptx) non-normal transient growth, optimal i.c. non normal excitation of THC variability (slides #2,3,5,6,7,9 from nonormal_THC_short.pdf) 2.3 THC during Snowball Earth events Assignment: question 2 Day 2: Atmosphere (3) Atmospheric superrotation and permanent El Nino 3.1 Pliocene intro (slides) 3.2 vorticity, solid body rotation, planetary vs relative vorticity, Coriolis parameter, beta plane, Rossby waves heuristic based on propagation of highs and lows on a beta plane, group & phase velocities (ripples animation), teleconnections via R.W (Shaman paper); [quasi-geostrophy-didn't cover eventually, see notes-shallow-water-quasigeostrophy.pdf] , 3.2 atmospheric superrotation: momentum flux u'v' vs energy flux c_g for Rossby waves. 3.3 permanent El Nino in the Pliocene (2-5 Myr, and in the future?) (slides) Assignment: question 3 (4) Convection, clouds, radiation and equable climate 4.1 Arctic cloud feedback, multiple equilibria, warm climate of the Eocene (50 Million years ago) and relevance to global warming. (slides) 4.2 time permitting: simple convection model Assignment: question 4