Climate Feedbacks
Atmospheric Science · Part 6
231 KB10 sections4 key equationsLaTeX typeset
Table of Contents
- 1.Feedback Loop Framework
- 2.Climate Sensitivity Parameter
- 3.Planck Feedback (Stabilizing Baseline)
- 4.Water Vapor Feedback
- 5.Ice-Albedo Feedback
- 6.Lapse Rate Feedback
- 7.Cloud Feedbacks
- 8.Combined Feedback Budget
- 9.Tipping Points and Abrupt Transitions
- 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...