Climate Feedbacks

Atmospheric Science · Part 6

231 KB10 sections4 key equationsLaTeX typeset

Table of Contents

  1. 1.Feedback Loop Framework
  2. 2.Climate Sensitivity Parameter
  3. 3.Planck Feedback (Stabilizing Baseline)
  4. 4.Water Vapor Feedback
  5. 5.Ice-Albedo Feedback
  6. 6.Lapse Rate Feedback
  7. 7.Cloud Feedbacks
  8. 8.Combined Feedback Budget
  9. 9.Tipping Points and Abrupt Transitions
  10. 10.Fortran: Time-Dependent Feedback Model

Key Equations

$$G = \frac{1}{1 - f} \quad \text{where } f = \sum_i f_i \text{ is the total feedback factor}$$
$$\lambda_0 = \frac{1}{4\sigma T_e^3} \approx \frac{1}{4 \times 5.67 \times 10^{-8} \times 255^3} \approx 0.27 \text{ K/(W/m}^2\text{)}$$
$$\Delta T = \frac{\Delta F}{-\sum_i \lambda_i} = \frac{\Delta F}{\lambda_{\text{Planck}} + \lambda_{\text{WV}} + \lambda_{\text{LR}} + \lambda_{\text{ice}} + \lambda_{\text{cloud}}}$$
$$\frac{1}{e_s}\frac{de_s}{dT} \approx \frac{L_v}{R_v T^2} \approx 0.07 \text{ K}^{-1} \quad \text{(at T = 288 K)}$$

Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.

Course Context

This PDF is part of the Atmospheric Science course on CoursesHub.World. Study the physics of weather and climate from atmospheric thermodynamics to planetary atmospheres. Covers atmospheric dynamics, synoptic meteorology, clouds and precipitation, radiation budgets, clima...