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TOPIC III THE GREENHOUSE EFFECT. SOLAR IRRADIANCE SPECTRA. 1 m = 1000 nm = 10 -6 m. Note: 1 W = 1 J s -1. TOTAL SOLAR RADIATION RECEIVED BY EARTH. Solar constant for earth: 1368 W m -2. Solar radiation received outside atmosphere per unit area of sphere
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SOLAR IRRADIANCE SPECTRA 1 m = 1000 nm = 10-6 m • Note: 1 W = 1 J s-1
TOTAL SOLAR RADIATION RECEIVED BY EARTH • Solar constant for earth: 1368 W m-2 • Solar radiation received outside atmosphere • per unit area of sphere • = (1370) x ( re2)/(4 re2) = 342 W m-2
EFFECTIVE TEMPERATURE OF EARTH • Effective temperature of earth (Te) • Temperature detected from space • Albedo of surface+atmosphere ~ 0.3 • 30% of incoming solar energy is reflected by clouds, ice, etc. • Energy absorbed by surface+atmosphere = 1-0.3 = 0.7 • 70% of 342 W m-2 = 239.4 W m-2 • Balanced by energy emitted by surface+atmosphere • Stefan-Boltzman law: Energy emitted = Te4 • = 5.67 x 10-8 W m-2 K-4 • Solve Te4 = 239.4 • Te = 255 K
GLOBAL TEMPERATURE • Annual and global average temperature ~ 15 C, i.e. 288 K • Te = 255 K --> not representative of surface temp. of earth • Te is the effective temp. of the earth + atmosphere system • that would be detected by an observer in space
ENERGY TRANSITIONS • Gas molecules absorb radiation by increasing internal energy • Internal energy electronic, vibrational, & rotational states • Energy requirements • Electronic transitions • UV (< 0.4 m) • Vibrational transitions • Near-IR (< 0.7-20 m) • Rotational transitions • Far-IR (> 20 m) • Little absorption in visible range (0.4-0.7 m) • Gap between electronic and vibrational transitions • Greenhouse gases absorb in the range 5-50 m • Vibrational and rotational transitions
GREENHOUSE GASES • Vibrational transitions must change dipole moment of molecule • Important greenhouse gases • H2O, CO2, CH4, N2O, O3, CFCs • Non-greenhouse gases • N2, O2, H2, Noble gases
ATMOSPHERIC ABSORPTION OF RADIATION • ~100% absorption of UV • Electronic transitions of • O2 and O3 • Weak absorption of visible • Gap in electronic and • vibrational transition energies • Efficient absorption of terrestrial radiation • Greenhouse gas absorption • Important role of H2O • Atmospheric window between 8 and 13 m
A SIMPLE GREENHOUSE MODEL 239.4 W m-2 (1-f) To4 f T14 absorbed = f To4 f T14 To4 • Incoming solar radiation = 70% of 342 W m-2 = 239.4 W m-2 • IR flux from surface = To4 • Assume atmospheric layer has an absorption efficiency = f • Kirchhoff’s law: efficiency of abs. = efficiency of emission • IR flux from atmospheric layer = f T14 (up and down)
RADIATION BALANCE EQUATIONS 239.4 W m-2 (1-f) To4 f T14 absorbed = f To4 f T14 To4 • Balance at top of atmosphere • f T14 + (1-f) To4 = 239.4 • Balance for atmospheric layer • f T14+f T14 = f To4
THE GREENHOUSE EFFECT 239.4 W m-2 (1-f) To4 f T14 f T14 absorbed = f To4 To4 • To = 288 K • f = 0.77; T1 = 241 K • Greenhouse gases gases that affect f • As f increases, To and T1 increase
CONCEPT OF RADIATIVE FORCING 239.4 W m-2 (1-f) To4 f T14 absorbed = f To4 f T14 To4 • Consider increase in concentration of a greenhouse gases • If nothing else changes • f increases outgoing terrestrial radiation decreases • Change in outgoing terrestrial radiation = radiative forcing
RADIATIVE FORCING AND TEMPERATURE CHANGE 239.4 W m-2 (1-f) To4 f T14 absorbed = f To4 f T14 To4 • Response to imbalance • To and T1 increase may cause other greenhouse gases to • change f (positive feedback) or (negative feedback) • To and T1 may or f T … Rad. balance • Radiative forcing is measure of initial change in • outgoing flux
RADIATIVE FORCING • Permits assessment of potential climate effects of • different gases • Radiative forcing of a gas depends not only on change in • concentration, but also what wavelengths it absorbs • Aerosols can exert a negative radiative effect (i.e. have a • cooling effect) by reflecting radiation (direct effect) and • by increasing reflectivity of clouds (indirect effect)
GLOBAL WARMING POTENTIAL • Index used to quant. • compare radiative forcings • of various gases • Takes into account lifetimes, • saturation of absorption
FORCINGS AND SURFACE TEMPERATURE • Climate sensitvity parameter (): To = F • Global climate models = 0.3-1.4 K m2 W-1
RECENT CHANGES IN SURFACE TEMPERATURE • Trend differences due to • differences in spatial av., • diff. in sea-surface temps., • and handling of urbanization • Same basic trend over last • 100 years • Increase in T by 0.6-0.7 C
POTENTIAL CAUSES OF TEMPERATURE CHANGES 239.4 W m-2 absorbed = f To4 • Variations in solar radiation at top of atmosphere • Changes in albedo (e.g. due to changes in cloud cover) • Changes in greenhouse gas forcing (i.e., change in f)
SOLAR VARIABILITY • Changes in sunspots and surface conditions
CHANGES IN CLOUD COVER • Incoming solar radiation = 0.7 x 342 W m-2 = 239.4 W m-2 • Consider albedo change of 2.5% • Albedo = 0.3 x 1.025 = 0.3075 • Incoming solar radiation = 0.6925 x 342 W m-2 = 236.8 W m-2 • Radiative forcing =236.8 – 239.4 = - 2.6 W m-2 • Comparable but opposite to greenhouse gas forcing • Clouds are also efficient absorbers of terrestrial radiation • Positive forcing • Cloud effects are larege source of uncertainty in climate • projections