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Chapter 3 Daisyworld Objectives: • Albedo • Couplings between daisy coverage & T • Equilibrium states in Daisyworld • Response of Daisyworld to incr. solar output ENSC 425/625 Chapter 3UNBC 1 A view of Daisyworld from outer space ENSC 425/625 Chapter 3UNBC 2 ENSC 425/625 Chapter 3UNBC 3 Couplings between daisy coverage & T • Incr. daisy coverage of planet => decr. T. T Daisy coverage Daisy Coverage albedo Daisy Coverage T T ENSC 425/625 Chapter 3UNBC 4 • Daisies can live between a min.T & a max. T daisy coverage Daisy coverage T T daisy coverage optimum min. ENSC 425/625 Chapter 3UNBC max. T 5 • Intersection of 2 curves means the 2 effects are balanced => equilibrium points P1 & P2. Daisy coverage T daisy coverage daisy coverage T Effects of daisy coverage on T P1 Effects of T on daisy coverage P2 T ENSC 425/625 Chapter 3UNBC 6 Feedback loops Daisy coverage Effects of daisy coverage on T P1 Effects of T on daisy coverage ENSC 425/625 Chapter 3UNBC P2 T 7 • Perturb daisy coverage at P1 => sys. returns to P1 Daisy coverage (stable equil. pt.) P1 A large perturb. => daisies all die from extreme T P2 T ENSC 425/625 Chapter 3UNBC 8 • From P2, incr. daisy cov. => decr. T => Daisy coverage further incr. in daisy cov. => converge to P1 daisy T coverage P1 unstable P2 equilib. pt. T ENSC 425/625 Chapter 3UNBC 9 Daisy coverage Gradual incr. in solar luminosity For any particular value of daisy cov., T incr. P1 The effect of T on Daisy unchanged P1 To Teq P2 Tf ENSC 425/625 Chapter 3UNBC P2 T 10 Lessons from Daisyworld • Despite change in forcing, climate sys. can counter part of the change by negative feedback loops. ENSC 425/625 Chapter 3UNBC 11 Uncertainty in Climate Change Study Scenario uncertainty --- due to uncertainty of future emissions of GHGs and other forcing agents; Model uncertainty --- associated with climate models; Natural variability --- Stochastic and Nonlinear problem; Initial condition and forcing and boundary – the limitation of observation data and assimilation technique UNBC 12 A1 Family is based on the following hypothesis A1 • • • • • • • • Rapid economic growth. A global population that reaches 9 billion in 2050 and then gradually declines. The quick spread of new and efficient technologies. A convergent world - income and way of life converge between regions. Extensive social and cultural interactions worldwide. There are subsets to the A1 family based on their technological emphasis: A1FI - An emphasis on fossil-fuels. A1B - A balanced emphasis on all energy sources. A1T - Emphasis on non-fossil energy sources. UNBC A2 13 UNBC 14 • • Representative Concentration Pathways (RCPs) The four RCPs --- RCP2.6, RCP4.5, RCP6, and RCP8.5 a possible range of radiative forcing values in the year 2100 relative to pre-industrial values (+2.6, +4.5, +6.0, and +8.5 W/m2, respectively). RCP 2.6 assumes that global annual GHG emissions peak between 2010-2020, with emissions declining substantially thereafter. Emissions in RCP 4.5 peak around 2040, then decline. In RCP 6, emissions peak around 2080, then decline. In RCP 8.5, emissions continue to rise throughout the 21st century. UNBC 15 UNBC 16 Long lived GHGs UNBC 17 UNBC 18 Uncertainty in Model Model parameter uncertainty Model physics Model Resolution UNBC 19 Uncertainty in Climate Change Study Natural variability --- Stochastic and Nonlinear problem; Initial condition and boundary condition– the limitation of observation data and assimilation technique UNBC 20 UNBC 21 UNBC 22 As observational records lengthen and models improve, researchers should be able, within the limitations of the range of natural variability, to narrow that range in probable temperature in the next few decades . It is also possible to use information about the current state of the oceans and cryosphere to produce better projections up to a few years ahead. UNBC 23