# An Introduction to Twomey Effect

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1 An Introduction to Twomey Effect Guillaume Mauger Aihua Zhu Mauna Loa, Hawaii on a clear day Mauna Loa, Hawaii on a dusty day

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3 Rayleigh scattering Mie scattering Non-selective scattering.

4 The impact of clouds Clouds have two competing influences in the radiation budget: 1) They reflect solar radiation and prevent it from reaching the surface of earth, similar to an umbrella, and preventing the warming of the atmosphere through absorption of the radiation. 2) They absorb the infrared radiation escaping from the surface of the earth and thus trap the warmth in atmosphere, similar to a greenhouse.

5 Cloud types High cloud Middle cloud Low cloud

6 Different impacts of different clouds Low level clouds: large albedo, weak absorption of infrad radiation----cooling Upper level clouds: weak albedo, strong absorption of infrad radiation---warming

7 Optical thickness is the extinction efficiency, is given by Mie theory, nearly equal to 2 is the extinction efficient For solar wavelengths and for realistic (polydisperse) drop distributions we can eliminate the integration and adopt the simple formula Where N is the drop concentration per cubic centimeter and can be any representative of mean or model radius

8 Extinction efficiencies: general behaviour and deviations Size dependence of the extinction efficiency factors for homogeneous spherical particles. The influence of variations of the real part (upper panel) and imaginary part (lower panel) of the refractive index is illustrated. Typical refractive index m of cloud droplet is: m= *10-9 i

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10 The liquid water content W is given by the volume-mean radius W (in number) = W (in mass) ρ water W (in number) = A water content of 1/3 gm -3 (which is typical at least of lower level clouds) was adopted to calculate values of extinction coefficient k E (cm -1 ) and optical thickness per kilometer of cloud depth2 2 k E = 2πN r τ = 2π Nr km h

11 Parameters needed to give the extinction Optical thickness: τ = 2π Nr km 2 h Single scattering albedo: Asymmetry factor: ω = 0 β s / β e g = + 1 up( u) du 1 P( u) du Where P(u) is the phase function u = cos(θ ) β = β + τ e a s β a = τ ( 1 ω0) is the extinction coefficient is absorption optical thickness

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13 Increase pollution (pollution index x) will increase the albedo if ds/dx is positive: becaus e: ds = dx so we need to prescribe and

14 Becaus e: τ a = τ ( 1 ω0)

15 Typical cloud nuclei concentration Clean air over the tropical oceans cm-3 Continental concentrations run from cm-3; Moderate to heavy pollution has values >5000 The values cm and 0.1 represent a reasonable and an extreme value of, respectively, for the absorption km -1 depth in continental conditions when N=1000cm -3

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17 Spherical (or global) albedo: As= Spherical albedo eliminates geometric variables and gives a reasonably representative global value of albedo, It represents the fraction of incident radiation reflected by a sphere covered by a layer of the prescribed properties. According to Liou, spherical albedo can be calculated f as: (0) 1 r = = 2 r( µ 2 0) µ 0dµ 0 πa F * 0 Fdif (0) 1 2π 1 r( µ 0 ) = = R( µ, Φ; µ 0, Φ 0) µ dµ dφ µ F * π R( µ, Φ; µ, Φ 0) = πi r (0; µ, Φ)/( µ 0 0 F *)

18 Frequency distributions of the reflectances at 1,535 nm versus reflectances at 754 nm determined during the ACE-2 experiment. Isolines of geometrical thickness (H) and droplet number concentration (N) demonstrate the higher reflectance in polluted cloud if normalised by a similar geometrical thickness (Brenguier et al. 2000).

19 Indirect Forcing of Aerosols Flow chart showing the processes linking aerosol emissions or production with changes in cloud optical depth and radiative forcing. Bars indicate functional dependence of the quantity on top of the bar to that under the bar. Symbols: CCN (Cloud conden-sation nuclei); CDNC (Cloud droplet number concentration); IN (Ice nuclei); IP (Ice particles); OD (Optical depth); HC (Hydrometeor concentration); A (Albedo); fc (Cloud fraction); Dc (Cloud optical depth); tc (Radiative forcing).

20 conclusio n Pollution may increase or decrease the brightness of clouds depending on the optical thickness of the clouds and the way in which cloud nucleus concentration varies with absorption optical thickness. In all but the thickest clouds the pollution increases the albedo. Since most of the earth s cloud cover is not very thick this result suggest that the planetary albedo also will increase with increase of pollution.

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