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Content Introduction into basic physical processes causing - - PowerPoint PPT Presentation

C LIMATE AND E NVIRONMENTAL C HANGE M.Sc. Module Global Transformation and Environmental Change Prof. Dr. Jrgen Scheffran & Prof. Dr. Udo Schickhoff with slides provided by Jrgen Bhner Prof. Dr. Jrgen Scheffran Abteilung


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SLIDE 1
  • Prof. Dr. Jürgen Scheffran & Prof. Dr. Udo Schickhoff

with slides provided by Jürgen Böhner

CLIMATE AND ENVIRONMENTAL CHANGE

M.Sc. Module ‚Global Transformation and Environmental Change‘

  • Prof. Dr. Jürgen Scheffran

Abteilung Integrative Geographie, Universität Hamburg Research Group Climate Change and Security Grindelberg 7, Room 2014 (Sprechstunde nach Vereinbarung) Tel: 040 – 42838 7722 Email: juergen.scheffran@zmaw.de Web: www.clisec-hamburg.de

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SLIDE 2

Part A: Climate and Environment – Jürgen Scheffran I Introduction II The Climate System III Climate Change IV Environmental Change Part B: Human Impact on World Vegetation – Udo Schickhoff Final Exam

CLIMATE AND ENVIRONMENTAL CHANGE

M.Sc. Module ‚Global Transformation and Environmental Change‘

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SLIDE 3

CLIMATE AND ENVIRONMENTAL CHANGE

M.Sc. Module ‚Global Transformation and Environmental Change‘

Literature:

  • Barry, R.G.; Chorley, R.J. (2003) Atmosphere, weather, and climate, Routledge.
  • Schönwiese, Christian-Dietrich (2013) Klimatologie, 4.th edition, UTB.
  • IPCC (2013) Climate Change 2013: The Physical Science Basis, Contribution of WG I

to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change, WGI AR5 4th Assessment Report.

  • Gebhardt, H., Glaser, R., Radtke, U., Reuber, P. (eds.) (2012) Geographie - Physische

Geographie und Humangeographie, Berlin: Springer.

  • IPCC (2007) Climate Change 2007 – The Physical Science Basis, Contribution of WG

I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press, UK und NY, USA.

  • Oke, T.R. (1987): Boundary Layer Climates. – Wiley & Sons, New York.
  • McKnight, T.L. & D. Hess (2008): Physical Geography. – Pearson. London
  • Hess, D. & T.L. McKnight (2009): Physische Geographie. – Pearson. London.
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SLIDE 4

Aims of the lecture Knowledge of the fundamentals of climate system dynamics and factors affecting climate change in present, past and future; Insights in climate and human-induced environmental changes and pressures on environmental resources, ecosystem functions and services with a particular focus on human impact on world vegetation

CLIMATE AND ENVIRONMENTAL CHANGE

M.Sc. Module ‚Global Transformation and Environmental Change‘

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SLIDE 5

Content

CLIMATE AND ENVIRONMENTAL CHANGE

M.Sc. Module ‚Global Transformation and Environmental Change‘

Introduction into basic physical processes causing fluctuations in the Earth's climate Evolution of the Earth’s climate system and the climate history Climate-determined process domains and environments Impact of climate change on environmental resources (soil, water, vegetation) Interdependencies of climate and human induced degradation processes and deterioration of ecosystem functions and services with a particular focus on human impact on world vegetation Scenario-based projections of future climate and environmental change; climate change adaptation and mitigation strategies.

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SLIDE 6

CLIMATE AND ENVIRONMENTAL CHANGE

M.Sc. Module ‚Global Transformation and Environmental Change‘

  • 0.6
  • 0.4
  • 0.2

0.0 0.2 0.4 0.6 0.8 1.0 1860 1880 1900 1920 1940 1960 1980 2000

Temperatureanomalies [°C]

  • bservation (global mean)



Global Temperatures 1860–2008 (SCHÖNWIESE 2009)

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SLIDE 7

CLIMATE AND ENVIRONMENTAL CHANGE

M.Sc. Module ‚Global Transformation and Environmental Change‘

  • 0.6
  • 0.4
  • 0.2

0.0 0.2 0.4 0.6 0.8 1.0 1860 1880 1900 1920 1940 1960 1980 2000

Temperatureanomalies [°C]

  • bservation (global mean)

statistical simulation (neuronal net)



Global Temperatures 1860–2008 (SCHÖNWIESE 2009)

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SLIDE 8

CLIMATE AND ENVIRONMENTAL CHANGE

M.Sc. Module ‚Global Transformation and Environmental Change‘

  • 0.6
  • 0.4
  • 0.2

0.0 0.2 0.4 0.6 0.8 1.0 1860 1880 1900 1920 1940 1960 1980 2000

Temperatureanomalies [°C]

Kr SM Ag SA EC Pi Ka

  • bservation (global mean)

statistical simulation (neuronal net)



explosive volcanic eruption: Kr = Krakatau (1883) SM = Santa Maria (1902) Ag = Agung (1963) SA = St. Augustine (1976) EC = El Chichon (1982) Pi = Pinatubo (1991) Ka = Kasatochi (2008)

Global Temperatures 1860–2008 (SCHÖNWIESE 2009)

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SLIDE 9

CLIMATE AND ENVIRONMENTAL CHANGE

M.Sc. Module ‚Global Transformation and Environmental Change‘

  • 0.6
  • 0.4
  • 0.2

0.0 0.2 0.4 0.6 0.8 1.0 1860 1880 1900 1920 1940 1960 1980 2000

Temperatureanomalies [°C]

Kr SM Ag SA EC Pi Ka

  • bservation (global mean)

statistical simulation (neuronal net) sulfat signal



explosive volcanic eruption: Kr = Krakatau (1883) SM = Santa Maria (1902) Ag = Agung (1963) SA = St. Augustine (1976) EC = El Chichon (1982) Pi = Pinatubo (1991) Ka = Kasatochi (2008)

Global Temperatures 1860–2008 (SCHÖNWIESE 2009)

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SLIDE 10

CLIMATE AND ENVIRONMENTAL CHANGE

M.Sc. Module ‚Global Transformation and Environmental Change‘

  • 0.6
  • 0.4
  • 0.2

0.0 0.2 0.4 0.6 0.8 1.0 1860 1880 1900 1920 1940 1960 1980 2000

Temperatureanomalies [°C]

Kr SM Ag SA EC Pi Ka

  • bservation (global mean)

statistical simulation (neuronal net) sulfat signal

      

explosive volcanic eruption: Kr = Krakatau (1883) SM = Santa Maria (1902) Ag = Agung (1963) SA = St. Augustine (1976) EC = El Chichon (1982) Pi = Pinatubo (1991) Ka = Kasatochi (2008) El Niño

Global Temperatures 1860–2008 (SCHÖNWIESE 2009)

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SLIDE 11

CLIMATE AND ENVIRONMENTAL CHANGE

M.Sc. Module ‚Global Transformation and Environmental Change‘

  • 0.6
  • 0.4
  • 0.2

0.0 0.2 0.4 0.6 0.8 1.0 1860 1880 1900 1920 1940 1960 1980 2000

Temperatureanomalies [°C]

Kr SM Ag SA EC Pi Ka

  • bservation (global mean)

statistical simulation (neuronal net) sulfat signal greenhouse gas signal

      

explosive volcanic eruption: Kr = Krakatau (1883) SM = Santa Maria (1902) Ag = Agung (1963) SA = St. Augustine (1976) EC = El Chichon (1982) Pi = Pinatubo (1991) Ka = Kasatochi (2008) El Niño

Global Temperatures 1860–2008 (SCHÖNWIESE 2009)

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SLIDE 12

CLIMATE AND ENVIRONMENTAL CHANGE

M.Sc. Module ‚Global Transformation and Environmental Change‘

  • 0.6
  • 0.4
  • 0.2

0.0 0.2 0.4 0.6 0.8 1.0 1860 1880 1900 1920 1940 1960 1980 2000

Temperatureanomalies [°C]

Kr SM Ag SA EC Pi Ka

  • bservation (global mean)

statistical simulation (neuronal net) sulfat signal greenhouse gas signal greenhouse gas & particle signal

      

explosive volcanic eruption: Kr = Krakatau (1883) SM = Santa Maria (1902) Ag = Agung (1963) SA = St. Augustine (1976) EC = El Chichon (1982) Pi = Pinatubo (1991) Ka = Kasatochi (2008) El Niño

Global Temperatures 1860–2008 (SCHÖNWIESE 2009)

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SLIDE 13

CLIMATE AND ENVIRONMENTAL CHANGE

M.Sc. Module ‚Global Transformation and Environmental Change‘

Left (a): Comparison between global mean surface temperature anomalies (°C) from obser- vations (black) and AOGCM simulations forced with anthropogenic and natural forcings (58 simulations produced by 14 models). Right (b): Comparison between global mean surface temperature anomalies (°C) from obser- vations (black) and AOGCM simulations forced with natural forcings only (19 simulations produced by 5 models). According to the Fourth Assessment Report (AR4) of the IPCC (2007), the likelihood of solely natural forcings for the warming in the last 50 years is below 5 % (IPCC 2007).

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SLIDE 14

Left (a): Comparison between global mean surface temperature anomalies (°C) from obser- vations (black) and AOGCM simulations forced with anthropogenic and natural forcings (58 simulations produced by 14 models). Right (b): Comparison between global mean surface temperature anomalies (°C) from obser- vations (black) and AOGCM simulations forced with natural forcings only (19 simulations produced by 5 models). According to the Fourth Assessment Report (AR4) of the IPCC (2007), the likelihood of solely natural forcings for the warming in the last 50 years is below 5 % (IPCC 2007).

CLIMATE AND ENVIRONMENTAL CHANGE

M.Sc. Module ‚Global Transformation and Environmental Change‘

Multi-model averages and assessed ranges for surface warming (IPCC 2007)

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SLIDE 15

Part A: Climate and Environment – Jürgen Scheffran I Introduction II The Climate System III Climate Change IV Environmental Change Part B: Human Impact on World Vegetation – Udo Schickhoff

CLIMATE AND ENVIRONMENTAL CHANGE

M.Sc. Module ‚Global Transformation and Environmental Change‘

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SLIDE 16

II THE CLIMATE SYSTEM Basics

The Earth-Atmosphere System Components, Processes and Interactions

(Source:www.bom.gov.au/lam/climate)

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SLIDE 17

II THE CLIMATE SYSTEM Basics

The Earth-Atmosphere System Components, Processes and Interactions

(Source:www.bom.gov.au/lam/climate)

(Source: http://co2now.org/Know-the-Changing-Climate)

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SLIDE 18

Scales Spatiotemporal Dimensions

II THE CLIMATE SYSTEM Basics

Time and Space scales of various atmospheric phenomena according to OKE (1978) Micro-scale: 10-2 to 103 m Local-scale: 102 to 5 x 104 m Meso-scale: 104 to 2 x 105 m Macro-scale: 105 to 108 m

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SLIDE 19

Scales Spatiotemporal Dimensions

II THE CLIMATE SYSTEM Basics

Time and Space scales of various atmospheric phenomena according to OKE (1978) Micro-scale: 10-2 to 103 m Local-scale: 102 to 5 x 104 m Meso-scale: 104 to 2 x 105 m Synoptic-scale Macro-scale: 105 to 108 m

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SLIDE 20

Scales Spatiotemporal Dimensions

II THE CLIMATE SYSTEM Basics

(Source: BENDIX 2004)

topo-climate climate zone regional climate sub-regional climate landscape climate micro- local- meso- macro-climate climate of a forest stand valley climate climate of the lake district tropical climate week day hour minute second turbulence thermal lift con- vection thunder

  • storm

local wind cold front cy- clone rosby wave Climatology Scales Meteorology micro-/ local climate

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SLIDE 21

Earth-Sun Relations The Solar System

II THE CLIMATE SYSTEM Basics

The Solar System (McKNIGHT & HESS 2008)

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SLIDE 22

Earth-Sun Relations The Sun

II THE CLIMATE SYSTEM Basics

RADIATION: Transport of energy via electromagnetic waves The emitted radiation of the photosphere of the sun is called solar flux. The Earth only receives 0,000000002 % of the whole energy emitted by the sun DIMENSIONS diameter: 1.390.000 km mass: 2 × 1030 kg

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SLIDE 23

Erdkruste Ozeanische Kruste 6 km (0-9 km) Kontinentale Kruste 40 km (10-80 km)

Dimensions Mean Radius: 6.371,0 km

  • Equat. Radius: 6.378.1 km

Polar Radius: 6.356.8 km

  • Equat. Perimeter: 40.075 km
  • Merid. Perimeter: 40.008 km

Surface: 510.072.000 km2 Gravity: g = 9,81 [m·s-2] Earth-Sun Relations The Earth

II THE CLIMATE SYSTEM Basics

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SLIDE 24

Earth-Sun Relations The Earth's Orbit

II THE CLIMATE SYSTEM Basics

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SLIDE 25

Earth-Sun Relations Insolation

II THE CLIMATE SYSTEM Basics

Average Temperature [°C]

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SLIDE 26

Earth-Sun Relations Irradiation

II THE CLIMATE SYSTEM Basics

Solar constant I0 = 1368 W·m-2 =1368 J·m-2·s-1 with a range of 0.1% (sunspots) I0 = 1420 W·m-2 in Perihelion (3. January) I0 = 1319 W·m-2 in Aphelion (3. July) Daily sums of incoming solar radiation at the top of the atmosphere: 13 kWh·m-2·d-1 Pole (Summer Solstice) 12 kWh·m-2·d-1 Mid Latitudes (Summer Solstice) 8-9 kWh·m-2·d-1 Equatorial Latitudes (Summer Solstice)

   

h I h I I      90 cos sin Lambert’s Cosine Law I = intensity of radiation for a sun’s altitude h [W·m-2], I0 = solar constant [W·m-2], h = sun’s altitude [°], 90 – h = solar zenith angle [°]

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SLIDE 27

The Atmosphere Structure and Composition

II THE CLIMATE SYSTEM Basics

Composition of the atmosphere (McKNIGHT & HESS 2008; BENDIX 2004) Acceleration of gravity

   

z g          

9 2 2

10 1 cos 000000059 . cos 0000267 . 1 806 . 9    g = acceleration of gravity [m·s-2], φ = latitude [°], z = altitude [m] Mass of the Atmosphere: 5 × 1018 kg (5.000.000.000.000.000 tons)

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SLIDE 28

The Atmosphere Structure and Composition

II THE CLIMATE SYSTEM Basics

[°C] suface

Left: Principal layers of the atmosphere and vertical temperature profile (WOFSY 2006) Right: Structure and layers of the troposphere (GEBHARDT et al. 2007)

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SLIDE 29

The Atmosphere Structure and Composition

II THE CLIMATE SYSTEM Basics

Principal layers of the atmosphere Layers of the troposphere

─ ─ ─ ─ ─ ─ ─ ─ Turbulent Surface Layer

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SLIDE 30

Forms of Energy and Energy Transmission Overview

(Source: Jensen 2000)

II THE CLIMATE SYSTEM Energy and Mass Exchange

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SLIDE 31

n h E   with  C n  E = energy [J], h = Planck constant = 6.626·10-34 [J·s], n = frequency [n·s-1], C = speed of light = 2.99792·108 [m·s-1], λ = wavelength [m] Energy of electromagnetic waves Forms of Energy and Energy Transmission Radiation

II THE CLIMATE SYSTEM Energy and Mass Exchange

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SLIDE 32

Forms of Energy and Energy Transmission Radiation

II THE CLIMATE SYSTEM Energy and Mass Exchange

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SLIDE 33

Emissivity values (OKE 1978) Stefan Bolzmann law A = black-body (grey-body) irradiance or energy flux density [W·m-2], ε = emissivity, σ = Stefan-Bolzmann constant = 5.67·10-8 [W·m-2·K-4], T = absolute temperature of the black-body (grey-body) [K] ) (

4

     T A Forms of Energy and Energy Transmission Radiation

II THE CLIMATE SYSTEM Energy and Mass Exchange

wavelength

energy flux density [W·m-2]

Earth Sun

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SLIDE 34

λmax = peak wavelength [μm], T = absolute temperature [K], 2898 = Wien’s constant Wien’s displacement law T 2898

max 

 Stefan Bolzmann law A = black-body (grey-body) irradiance or energy flux density [W·m-2], ε = emissivity, σ = Stefan-Bolzmann constant = 5.67·10-8 [W·m-2·K-4], T = absolute temperature of the black- body (grey-body) [K] ) (

4

     T A Forms of Energy and Energy Transmission Radiation

II THE CLIMATE SYSTEM Energy and Mass Exchange

wavelength

energy flux density [W·m-2]

Earth Sun

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SLIDE 35

Forms of Energy and Energy Transmission Radiation

II THE CLIMATE SYSTEM Energy and Mass Exchange

Comparison of solar and terrestrial radiation intensity (McKNIGHT & HESS 2008)

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SLIDE 36

Erdkruste Ozeanische Kruste 6 km (0-9 km) Kontinentale Kruste 40 km (10-80 km)

Dimensions of the Earth Mean Radius: 6.371,0 km

  • Equat. Radius: 6.378.1 km

Polar Radius: 6.356.8 km

  • Equat. Diameter: 40.075 km
  • Merid. Diameter: 40.008 km

Surface: 510.072.000 km2 Half-surf.: 255.036.000 km2 Disc-surf.: 127.518.000 km2 Gravity: g = 9,81 [m·s-2] Forms of Energy and Energy Transmission Radiation

II THE CLIMATE SYSTEM Energy and Mass Exchange

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SLIDE 37

Energy Cascades Short-wave Radiation Balance

II THE CLIMATE SYSTEM Energy and Mass Exchange

The generalized energy budget of earth and its atmosphere (LAUER & BENDIX 2006)

  • 100

+26 +4 +30 +25 -4

  • 70

+19 +51

Surface Atmosphere Space

+19

SI SD SE QS

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SLIDE 38

QS = short-wave radiation balance [W·m-2], SI = direct solar radiation [W·m-2], SD = diffuse short-wave beam [W·m-2], SE = reflected short-wave radiation [W·m-2], α = albedo Short-wave radiation balance of the Earth‘s surface Radiation Balance and Energy Budget Equations

II THE CLIMATE SYSTEM Energy and Mass Exchange

   

        1

D I E D I S

S S S S S Q Albedo values of various surface conditions (WEISCHET 1991)

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SLIDE 39

Solar Radiation Spatial Distribution

II THE CLIMATE SYSTEM Energy and Mass Exchange

Average daily solar radiation at the surface (www.3tier.com/en/support/resource-maps)

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SLIDE 40

II THE CLIMATE SYSTEM Energy and Mass Exchange

Surface Atmosphere Space

  • 100

+26 +4 +30 +25 -4 +6

  • 114

+19 +108

SI SD SE QS LE

  • 70

+19 +51

Energy Cascades Long-wave Radiation Balance

The generalized energy budget of earth and its atmosphere (LAUER & BENDIX 2006)

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SLIDE 41

Energy Cascades Absorption

II THE CLIMATE SYSTEM Energy and Mass Exchange

Absorptivity of selected gases of the atmosphere (www.ees.rochester.edu/fehnlab)

solar window atmosph. window

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SLIDE 42

II THE CLIMATE SYSTEM Energy and Mass Exchange

Surface Atmosphere Space

  • 100

+26 +4 +30 +25 -4 +70

  • 49
  • 21

+64 +6

  • 114

+93 +19 +108

  • 93
  • 64

SI SD SE QS LE LA QL

  • 70

+19 +51

Energy Cascades Long-wave Radiation Balance

The generalized energy budget of earth and its atmosphere (LAUER & BENDIX 2006)

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SLIDE 43

II THE CLIMATE SYSTEM Energy and Mass Exchange

Surface Atmosphere Space

  • 100

+26 +4 +30 +25 -4

  • 70

+19 +51 +64 +6

  • 114

+93 +19 +108

  • 93
  • 64

SI SD SE QS LE LA QL

+70

  • 49
  • 21

Energy Cascades All-wave Radiation Balance

The generalized energy budget of earth and its atmosphere (LAUER & BENDIX 2006)

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SLIDE 44

II THE CLIMATE SYSTEM Energy and Mass Exchange

Surface Atmosphere Space

  • 100

+26 +4 +30 +25 -4

  • 70

+19 +51

  • 30

+30 +64 +6

  • 114

+93 +19 +108

  • 93
  • 64

SI SD SE QS LE LA QL Q Energy Cascades Radiation Balance

The generalized energy budget of earth and its atmosphere (LAUER & BENDIX 2006)

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SLIDE 45

Q = net all-wave radiation balance [W·m-2], QS = short-wave radiation balance [W·m-2], QL = long-wave radiation balance [W·m-2], SI = direct solar radiation [W·m-2], SD = diffuse short-wave beam [W·m-2], SE = reflected short-wave radiation [W·m-2], α = albedo, LE = long-wave radiation of the earth’s surface [W·m-2], LA = downward atmospheric long-wave radiation [W·m-2] Average annual radiation balance of the Earth‘s surface Radiation Balance and Energy Budget Equations

II THE CLIMATE SYSTEM Energy and Mass Exchange

       

E A D I E A L D I E D I S L S

L L S S Q L L Q and S S S S S Q with Q Q Q                    1 1

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SLIDE 46

Radiation Balance Spatial Distribution

II THE CLIMATE SYSTEM Energy and Mass Exchange

Monthly mean net radiation [W/m²] in January (http://cimss.ssec.wisc.edu)

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SLIDE 47

Radiation Balance Spatial Distribution

II THE CLIMATE SYSTEM Energy and Mass Exchange

Monthly mean net radiation [W/m²] in July (http://cimss.ssec.wisc.edu)

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SLIDE 48

Radiation Balance Isopleths of Net-radiation

II THE CLIMATE SYSTEM Energy and Mass Exchange

highest altitude of the sun lowest altitude of the sun

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SLIDE 49

Energy Cascades Radiation Balance and Energy Budget

II THE CLIMATE SYSTEM Energy and Mass Exchange

Surface Atmosphere Space

  • 100

+26 +4 +30 +25 -4 +30 +64 +6

  • 114

+93 +19 +108

  • 93
  • 64

SI SD SE QS LE LA QL Q

  • 23
  • 7

+23 +7

  • 30

QE QH

The generalized energy budget of earth and its atmosphere (LAUER & BENDIX 2006)

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SLIDE 50

The generalized energy budget of earth and its atmosphere (McKNIGHT & HESS 2008)

Energy Cascades Radiation Balance and Energy Budget

II THE CLIMATE SYSTEM Energy and Mass Exchange

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SLIDE 51

Q = net all-wave radiation balance [W·m-2], QS = short-wave radiation balance [W·m-2], QL = long-wave radiation balance [W·m-2], SI = direct solar radiation [W·m-2], SD = diffuse short-wave beam [W·m-2], SE = reflected short-wave radiation [W·m-2], α = albedo, LE = long-wave radiation of the earth’s surface [W·m-2], LA = downward atmospheric long- wave radiation [W·m-2] Average annual radiation balance of the Earth‘s surface Q = net all-wave radiation balance = energy budget [W·m-2], QH = sensible heat flux [W·m-2], QE = latent heat flux [W·m-2], QG = heat conduction to or from the underlying ground [W·m-2] Energy balance of the Earth‘s surface Radiation Balance and Energy Budget Equations

II THE CLIMATE SYSTEM Energy and Mass Exchange

 

G E H

Q Q Q Q  

       

E A D I E A L D I E D I S L S

L L S S Q L L Q and S S S S S Q with Q Q Q                    1 1

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SLIDE 52

Forms of Energy and Energy Transmission Conduction

II THE CLIMATE SYSTEM Energy and Mass Exchange

QG = heat flux [W·m-2], k = thermal conductivity [W·m-1·K-1], T1 = temperature [K] at depth z1 [m], T2 = temperature [K] at depth z2 [m], ∆T = temperature differences [K], ∆z = thickness or vertical depth (of the ground layer) [m] Heat conduction (ground heat flux) Thermal properties of selected Materials z T k z z T T k QG          

2 1 2 1

21

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SLIDE 53

QH = sensible heat flux [W·m-2], Ca = heat capacity of air = 1200 [J·m-3·K-1], k = Karman’s constant = 0.4, T1 = temperature [K] at level z1 [m], T2 = temperature [K] at level z2 [m], u1 = wind speed [m·s-1] at level z1 [m], u2 = wind [m·s-1] at level z2 [m] Sensible heat flux (gradient method) Forms of Energy and Energy Transmission Convection

II THE CLIMATE SYSTEM Energy and Mass Exchange    

2 1 2 1 2 1 2 2

ln              z z u u T T k C Q

a H

Latent heat flux (gradient method) QE = latent heat flux [W·m-2], Lv = latent heat of vaporization [J·kg-1], k = Karman’s constant = 0.4, u1 = wind velocity [m·s-1] at level z1 [m], u2 = wind velocity [m·s-1] at level z2 [m], a1 = absolute humidity [kg·m-3] at level z1 [m], a2 = absolute humidity [kg·m-3] at level z2 [m]

   

2 1 2 1 2 1 2 2

ln              z z a a u u k L Q

v E

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SLIDE 54

Q = net all-wave radiation balance [W·m-2], QS = short-wave radiation balance [W·m-2], QL = long-wave radiation balance [W·m-2], SI = direct solar radiation [W·m-2], SD = diffuse short-wave beam [W·m-2], SE = reflected short-wave radiation [W·m-2], α = albedo, LE = long-wave radiation of the earth’s surface [W·m-2], LA = downward atmospheric long- wave radiation [W·m-2] Average annual radiation balance of the Earth‘s surface Q = net all-wave radiation balance = energy budget [W·m-2], QH = sensible heat flux [W·m-2], QE = latent heat flux [W·m-2], QG = heat conduction to or from the underlying ground [W·m-2] Energy balance of the Earth‘s surface Radiation Balance and Energy Budget Equations

II THE CLIMATE SYSTEM Energy and Mass Exchange

 

G E H

Q Q Q Q  

       

E A D I E A L D I E D I S L S

L L S S Q L L Q and S S S S S Q with Q Q Q                    1 1

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SLIDE 55

Examples of the diur- nal course of compo- nents of the energy budget (GEBHARDT et al. 2007) a) Coniferous forest near Freiburg/Br. – 28.04 - 30.04.1976 b) Desert surface in the Gobi Desert – 11.05 - 31.05.1931 c) Tropical Atlantic with cloudless sky (8°30'N/23°30'W) – 06.07.1974

Energy Budget Examples

II THE CLIMATE SYSTEM Energy and Mass Exchange

Radiation Balance (Q) Latent Heat (QE) Sensible Heat (QH) Storage (QG)