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Radiative-Convective Modelling of the Earth’s Climate:The
     Effect of Observed Changes in Cloud Amounts




    Roger Davies, Physics Department, The University of Auckland
     http://www.physics.auckland.ac.nz/uoa/professor-roger-davies
climate physics at Auckland
•   observations                            •    theory
    – MISR on Terra (global)                     – equilibrium climate sensitivity
         • albedos, heights, winds               – global balance of energy
    – cloud heights                              – radiative transfer
    – ‘effective’ height, H = ò f (h)h dh            •    shortwave (albedo)
         • H´ = H – <H>                              •    longwave (greenhouse effect)
    – decadal time series of H´                      •    gases
                                                     •    clouds
    – correlations of H´ with SOI (El
      Niño/La Niña)                              – cloud physics
    – hints of decreasing H                      – convection
                                                 – radiative-convective
                                                   equilibrium (RCE)
                                                     • with detailed clouds




                                       NZIP_11                                           2
MISR: Multiangle Imaging SpectroRadiometer

                                   •   9 fixed view angles
                                        – +70.5° to –70.5°
                                        – reflected solar radiances (4 bands)
                                   •   climate data records
                                        – self-consistent: 5/2000 – present
                                   •   deseasonalized interannual
                                       variations
                                        – albedo anomalies
                                             •   onboard calibration ≈1% relative
                                                 radiometric accuracy
                                        – height anomalies
                                             •   geometrically (stereo) derived: no
                                                 calibration drift




Terra: 10:30 am sun-synchronous,
pole-pole, 14.6 orbits per day

                                                                                      3
NZIP_11   4
300 km
         NZIP_11   5
NZIP_11   6
NZIP_11   7
Cloud-Top Heights measured by MISR

• stereo pattern-matching from the A-cameras (±26°)
   –   measurements with horizontal resolution 275 m: heights every 2.2 km
   –   effective height: max contrast in SW reflectivity, may include surface
   –   rms instantaneous height uncertainty: ≈500 m (validated)
   –   O(108) measurements per month, globally at 10:30 am local time
   –   global sampling error: ≈30 m/month; ≈8 m/year
• March 2000 — February 2010: the first 10 years
• consistent climate data record of cloud heights
   – insensitive to radiometric calibration
   – high resolution measurements
   – uniform technique from pole-pole (no view angle effects)
• deseasonalized anomalies, globally and regionally
                                    NZIP_11                                     8
Why bother with global cloud heights?


• Cloud-Climate feedback
• Changes in effective height, H
   – emitted longwave radiation to space controls temperatures at z > H
       • this temperature is fixed for a given albedo, in equilibrium
   – if H decreases, the convective layer is reduced
       • results in lower equilibrium surface temperature

• In radiative-convective equilibrium (RCE)
   – height increase implies warming, decrease implies cooling
• Over 1 decade, CO2 forcing ≈0.28 W m-2 (IPCC)
   – In RCE this is equivalent to an increase of ≈28 m in global average
     effective height



                                            NZIP_11                        9
the simplest of equilibrium climate models
                                    the simplest of equilibrium climate models
                20
                20

                                          temperature controlled by albedo
                                           Tmin temperature controlled by albedo, a


                15
                15
                                                 altitude controlled by thethe greenhouse effect
                                                  he altitude controlled by greenhouse effect
altitude (km)
altitude (km)




                10
                10

                                                                           convection, with lapse rate G
                                                                    convection


                5
                5




                0
                0
                     -70
                      -70   -60
                             -60   -50
                                    -50         -40
                                                 -40         -30
                                                              -30       -20
                                                                         -20          -10
                                                                                       -10         0
                                                                                                   0       10
                                                                                                           10   20
                                                                                                                20
                                                            temperature (°C)
                                                             temperature (°C)




                                                           NZIP_11                                                   10
the simplest of equilibrium climate models
                20




                15               raising tropopause height by 154m (≈2xCO2)
                                 increases surface temperature by ≈1°C
altitude (km)




                10




                 5




                 0
                     -70   -60      -50       -40        -30       -20        -10   0   10   20
                                                       temperature (°C)




                                                        NZIP_11                                   11
The Effect of Carbon Dioxide on Equilibrium Surface Temperature
                                               3
Change of Equilibrium Surface Temperature °C




                                               2


                                                                                                                                           784
                                               1
                                                          change CO2 only                                                            554
                                                          keep clouds constant
                                               0          keep albedo constant                                            392
                                                          keep water vapour constant
                                                                                                          277


                                               -1                                      190




                                               -2



                                               -3
                                                    100                                                                                          1000
                                                                                             CO2 concentration (parts per million)



                                                                                                         NZIP_11                                  12
The Effect of Carbon Dioxide on Equilibrium Surface Temperature
                                               3
Change of Equilibrium Surface Temperature °C




                                                                                                      with water vapour feedback at 8%/K
                                               2                                                      and cloud fraction at 5%/K
                                                          change CO2, water vapour
                                                          and low cloud fraction
                                                                                                                                                 784
                                               1          and cloud height by ±300 m/K

                                                                                                                                           554



                                               0                                                                        392


                                                                                                        277


                                               -1                                    190




                                               -2



                                               -3
                                                    100                                                                                                1000
                                                                                           CO2 concentration (parts per million)



                                                                                                       NZIP_11                                          13
Annual Mean Effective Height




                               meters




             NZIP_11                    14
Interannual rms Fluctuation of Cloud-top
                Heights




                                           meters




                   NZIP_11                          15
Correlation of anomalies in cloud-top height with
            anomalies in sea level pressure
                                                                        r




sea level pressure from NCEP reanalysis
                                                    Mar 2000–Feb 2010
     cloud-top heights from MISR
                                          NZIP_11                       16
Correlation of anomalies in cloud-top height with
          anomalies in surface temperature
                                                                         r




surface temperature from NCEP reanalysis
                                                     Mar 2000–Feb 2010
     cloud-top heights from MISR
                                           NZIP_11                       17
Correlation of anomalies in cloud-top height with
       anomalies in Southern Oscillation Index
                                                                          r




SOI from Australian Bureau of Meteorology
                                                      Mar 2000–Feb 2010
     cloud-top heights from MISR
                                            NZIP_11                       18
Central Pacific, –Indonesia, –SOI
                       1500                                                                                15




                       1000                                                                                10




                        500                                                                                5
Height anomalies (m)




                          0                                                                                 0
                           2000                  2002                 2004             2006      2008   2010


                        -500                                                                               -5




                       -1000                                                                               -10




                       -1500                                                                               -15
                                                                                Year

                               Indonesian heights inverted
                               SOI inverted
                                                                             NZIP_11                        19
global cloud height anomalies
                      60


                      40


                      20
height anomaly (m)




                       0


                      -20


                      -40


                      -60


                      -80


                     -100
                        2000              2002         2004                 2006     2008                  2010
                                                                    year


                       12-month running mean         overall decrease: 45 ±5 m     max departure: –80 m
                       sampling error ±8 m                                         interannual rms: 26 m
                                                               NZIP_11                                            20
mean annual global stereo height distribution
                                          clouds+surface (12/05-6/08)
                                             WITHOUT THIN CIRRUS



              20



              18



              16


                                      Total fractions
              14
                                      surface:          0.366
                                      non-surface:      0.634
              12
height (km)




                                        low (0-3 km): 0.363
                                        mid (3-7 km): 0.144
                                        high (>7 km): 0.128
                                                                                                         all
              10
                                                                                                         cloud only


              8



              6



              4



              2



              0
               0.00   0.05   0.10            0.15               0.20      0.25      0.30   0.35   0.40

                                                         fraction/km




                                                                NZIP_11                                               21
Standard Atmosphere with Clouds
                    1
pressure (hPa)




                   10



                                                                          RCE
                                                                          RE

                  100




                 1000
                     190   210   230   250   270        290   310   330     350   370   390
                                             temperature (K)
                                                   NZIP_11                               22
Standard Atmosphere with Clouds
                    1
pressure (hPa)




                   10



                                                                         RCE
                                                                         RE

                  100




                 1000
                     190   210   230   250   270       290   310   330     350   370   390
                                             temperature (K)
                                                   NZIP_11                               23
relative trapping of longwave emission from
                 the surface
       (adapted from Kiehl and Trenberth)


           clouds                 45%


        water vapour              33%


       carbon dioxide             15%


           others                 7%


                        NZIP_11             24
Equilibrium Surface Temperatures: with constant albedo



      Observed                                    288 K


      No Atmosphere                               255 K


      Model, no clouds                            278 K


      Model, observed clouds                      291 K


      Model, no high clouds                       286 K


      Model, observed clouds, 50% CO2             290 K




                                        NZIP_11           25
The Effect of Carbon Dioxide on Equilibrium Surface Temperature
                                               3

                                                                                                                  with water vapour feedback @8%/1°C
Change of Equilibrium Surface Temperature °C




                                               2
                                                          change CO2 and water vapour
                                                          keep relative humidity constant
                                                          keep clouds constant                                                                         784
                                               1          keep albedo constant
                                                                                                                                          554



                                               0                                                                          392


                                                                                                         277


                                               -1                                     190




                                               -2



                                               -3
                                                    100                                                                                                      1000
                                                                                            CO2 concentration (parts per million)



                                                                                                        NZIP_11                                               26
The Effect of Carbon Dioxide on Equilibrium Surface Temperature
                                               3
Change of Equilibrium Surface Temperature °C




                                                                                                      with water vapour feedback at 8%
                                               2                                                      and cloud fraction at 5%/degree

                                                          change CO2, water vapour
                                                          and low cloud fraction                                                               784
                                               1
                                                                                                                                         554



                                               0                                                                        392


                                                                                                        277


                                               -1                                    190




                                               -2



                                               -3
                                                    100                                                                                              1000
                                                                                           CO2 concentration (parts per million)



                                                                                                       NZIP_11                                        27
The Effect of Carbon Dioxide on Equilibrium Surface Temperature
                                               5

                                               4
Change of Equilibrium Surface Temperature °C




                                                                                 Maximum Arctic ice-albedo feedback
                                               3

                                               2

                                                                                                                                           784
                                               1          change CO2 only
                                                          keep clouds constant                                                       554

                                               0          keep albedo constant                                            392
                                                          keep water vapour constant
                                                                                                          277

                                               -1                                      190


                                               -2

                                               -3
                                                                                                  Last Glacial Maximum
                                               -4

                                               -5
                                                    100                                                                                          1000
                                                                                             CO2 concentration (parts per million)



                                                                                                         NZIP_11                                  28
Standard Deviation of Annual Average of
             Cloud-top Heights




                                                        meters

Pacific box: 30°S–30°N, 100°E–230°E (130°W)
Area: 1/6 of globe


                                              NZIP_11            29
Local Height Anomalies: Pacific Box (30°N–30°S, 100°E–130°W)
                                                       rest of world
                     250




                     200




                     150
Height anomaly (m)




                     100




                      50




                       0
                        2000           2002          2004             2006      2008          2010




                      -50




                     -100




                     -150
                                                               Year


                                                            NZIP_11                                  30
Normalized Height anomalies: Pacific Box/6, Remainder*5/6, Total
                      80


                      60


                      40


                      20
Height anomaly (m)




                       0
                        2000            2002          2004              2006       2008           2010

                      -20


                      -40


                      -60


                      -80


                     -100
                                                                 Year



                                                             NZIP_11                                     31
Zonal annual mean fraction by height


              20


              18


              16


              14


              12
height (km)




                                                                                                     58°S
              10                                                                                     9°N
                                                                                                     21°N
               8


               6


               4


               2


               0
                0.00   0.05   0.10   0.15    0.20      0.25       0.30   0.35   0.40   0.45   0.50
                                                    fraction/km




                                                        NZIP_11                                        32
In Summary

• MISR cloud heights provide a useful climate data record
• additional CO2 forcing over the last decade ≈ +0.28 W m-2
   – equivalent to an increase in effective emission altitude of ≈28 m in
     RCE
• globally averaged effective height shows this level of
  fluctuation at the annual level (26 m rms)
   – heights have decreased by ≈45 m over the last decade
• the major event of the decade is coincident with the 2007-8
  La Niña
   – offsetting height changes between Indonesia and Central Pacific
   – teleconnections elsewhere appear to dominate the global result



                                   NZIP_11                                  33

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14.20 o7 r davies

  • 1. Radiative-Convective Modelling of the Earth’s Climate:The Effect of Observed Changes in Cloud Amounts Roger Davies, Physics Department, The University of Auckland http://www.physics.auckland.ac.nz/uoa/professor-roger-davies
  • 2. climate physics at Auckland • observations • theory – MISR on Terra (global) – equilibrium climate sensitivity • albedos, heights, winds – global balance of energy – cloud heights – radiative transfer – ‘effective’ height, H = ò f (h)h dh • shortwave (albedo) • H´ = H – <H> • longwave (greenhouse effect) – decadal time series of H´ • gases • clouds – correlations of H´ with SOI (El Niño/La Niña) – cloud physics – hints of decreasing H – convection – radiative-convective equilibrium (RCE) • with detailed clouds NZIP_11 2
  • 3. MISR: Multiangle Imaging SpectroRadiometer • 9 fixed view angles – +70.5° to –70.5° – reflected solar radiances (4 bands) • climate data records – self-consistent: 5/2000 – present • deseasonalized interannual variations – albedo anomalies • onboard calibration ≈1% relative radiometric accuracy – height anomalies • geometrically (stereo) derived: no calibration drift Terra: 10:30 am sun-synchronous, pole-pole, 14.6 orbits per day 3
  • 5. 300 km NZIP_11 5
  • 8. Cloud-Top Heights measured by MISR • stereo pattern-matching from the A-cameras (±26°) – measurements with horizontal resolution 275 m: heights every 2.2 km – effective height: max contrast in SW reflectivity, may include surface – rms instantaneous height uncertainty: ≈500 m (validated) – O(108) measurements per month, globally at 10:30 am local time – global sampling error: ≈30 m/month; ≈8 m/year • March 2000 — February 2010: the first 10 years • consistent climate data record of cloud heights – insensitive to radiometric calibration – high resolution measurements – uniform technique from pole-pole (no view angle effects) • deseasonalized anomalies, globally and regionally NZIP_11 8
  • 9. Why bother with global cloud heights? • Cloud-Climate feedback • Changes in effective height, H – emitted longwave radiation to space controls temperatures at z > H • this temperature is fixed for a given albedo, in equilibrium – if H decreases, the convective layer is reduced • results in lower equilibrium surface temperature • In radiative-convective equilibrium (RCE) – height increase implies warming, decrease implies cooling • Over 1 decade, CO2 forcing ≈0.28 W m-2 (IPCC) – In RCE this is equivalent to an increase of ≈28 m in global average effective height NZIP_11 9
  • 10. the simplest of equilibrium climate models the simplest of equilibrium climate models 20 20 temperature controlled by albedo Tmin temperature controlled by albedo, a 15 15 altitude controlled by thethe greenhouse effect he altitude controlled by greenhouse effect altitude (km) altitude (km) 10 10 convection, with lapse rate G convection 5 5 0 0 -70 -70 -60 -60 -50 -50 -40 -40 -30 -30 -20 -20 -10 -10 0 0 10 10 20 20 temperature (°C) temperature (°C) NZIP_11 10
  • 11. the simplest of equilibrium climate models 20 15 raising tropopause height by 154m (≈2xCO2) increases surface temperature by ≈1°C altitude (km) 10 5 0 -70 -60 -50 -40 -30 -20 -10 0 10 20 temperature (°C) NZIP_11 11
  • 12. The Effect of Carbon Dioxide on Equilibrium Surface Temperature 3 Change of Equilibrium Surface Temperature °C 2 784 1 change CO2 only 554 keep clouds constant 0 keep albedo constant 392 keep water vapour constant 277 -1 190 -2 -3 100 1000 CO2 concentration (parts per million) NZIP_11 12
  • 13. The Effect of Carbon Dioxide on Equilibrium Surface Temperature 3 Change of Equilibrium Surface Temperature °C with water vapour feedback at 8%/K 2 and cloud fraction at 5%/K change CO2, water vapour and low cloud fraction 784 1 and cloud height by ±300 m/K 554 0 392 277 -1 190 -2 -3 100 1000 CO2 concentration (parts per million) NZIP_11 13
  • 14. Annual Mean Effective Height meters NZIP_11 14
  • 15. Interannual rms Fluctuation of Cloud-top Heights meters NZIP_11 15
  • 16. Correlation of anomalies in cloud-top height with anomalies in sea level pressure r sea level pressure from NCEP reanalysis Mar 2000–Feb 2010 cloud-top heights from MISR NZIP_11 16
  • 17. Correlation of anomalies in cloud-top height with anomalies in surface temperature r surface temperature from NCEP reanalysis Mar 2000–Feb 2010 cloud-top heights from MISR NZIP_11 17
  • 18. Correlation of anomalies in cloud-top height with anomalies in Southern Oscillation Index r SOI from Australian Bureau of Meteorology Mar 2000–Feb 2010 cloud-top heights from MISR NZIP_11 18
  • 19. Central Pacific, –Indonesia, –SOI 1500 15 1000 10 500 5 Height anomalies (m) 0 0 2000 2002 2004 2006 2008 2010 -500 -5 -1000 -10 -1500 -15 Year Indonesian heights inverted SOI inverted NZIP_11 19
  • 20. global cloud height anomalies 60 40 20 height anomaly (m) 0 -20 -40 -60 -80 -100 2000 2002 2004 2006 2008 2010 year 12-month running mean overall decrease: 45 ±5 m max departure: –80 m sampling error ±8 m interannual rms: 26 m NZIP_11 20
  • 21. mean annual global stereo height distribution clouds+surface (12/05-6/08) WITHOUT THIN CIRRUS 20 18 16 Total fractions 14 surface: 0.366 non-surface: 0.634 12 height (km) low (0-3 km): 0.363 mid (3-7 km): 0.144 high (>7 km): 0.128 all 10 cloud only 8 6 4 2 0 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 fraction/km NZIP_11 21
  • 22. Standard Atmosphere with Clouds 1 pressure (hPa) 10 RCE RE 100 1000 190 210 230 250 270 290 310 330 350 370 390 temperature (K) NZIP_11 22
  • 23. Standard Atmosphere with Clouds 1 pressure (hPa) 10 RCE RE 100 1000 190 210 230 250 270 290 310 330 350 370 390 temperature (K) NZIP_11 23
  • 24. relative trapping of longwave emission from the surface (adapted from Kiehl and Trenberth) clouds 45% water vapour 33% carbon dioxide 15% others 7% NZIP_11 24
  • 25. Equilibrium Surface Temperatures: with constant albedo Observed 288 K No Atmosphere 255 K Model, no clouds 278 K Model, observed clouds 291 K Model, no high clouds 286 K Model, observed clouds, 50% CO2 290 K NZIP_11 25
  • 26. The Effect of Carbon Dioxide on Equilibrium Surface Temperature 3 with water vapour feedback @8%/1°C Change of Equilibrium Surface Temperature °C 2 change CO2 and water vapour keep relative humidity constant keep clouds constant 784 1 keep albedo constant 554 0 392 277 -1 190 -2 -3 100 1000 CO2 concentration (parts per million) NZIP_11 26
  • 27. The Effect of Carbon Dioxide on Equilibrium Surface Temperature 3 Change of Equilibrium Surface Temperature °C with water vapour feedback at 8% 2 and cloud fraction at 5%/degree change CO2, water vapour and low cloud fraction 784 1 554 0 392 277 -1 190 -2 -3 100 1000 CO2 concentration (parts per million) NZIP_11 27
  • 28. The Effect of Carbon Dioxide on Equilibrium Surface Temperature 5 4 Change of Equilibrium Surface Temperature °C Maximum Arctic ice-albedo feedback 3 2 784 1 change CO2 only keep clouds constant 554 0 keep albedo constant 392 keep water vapour constant 277 -1 190 -2 -3 Last Glacial Maximum -4 -5 100 1000 CO2 concentration (parts per million) NZIP_11 28
  • 29. Standard Deviation of Annual Average of Cloud-top Heights meters Pacific box: 30°S–30°N, 100°E–230°E (130°W) Area: 1/6 of globe NZIP_11 29
  • 30. Local Height Anomalies: Pacific Box (30°N–30°S, 100°E–130°W) rest of world 250 200 150 Height anomaly (m) 100 50 0 2000 2002 2004 2006 2008 2010 -50 -100 -150 Year NZIP_11 30
  • 31. Normalized Height anomalies: Pacific Box/6, Remainder*5/6, Total 80 60 40 20 Height anomaly (m) 0 2000 2002 2004 2006 2008 2010 -20 -40 -60 -80 -100 Year NZIP_11 31
  • 32. Zonal annual mean fraction by height 20 18 16 14 12 height (km) 58°S 10 9°N 21°N 8 6 4 2 0 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 fraction/km NZIP_11 32
  • 33. In Summary • MISR cloud heights provide a useful climate data record • additional CO2 forcing over the last decade ≈ +0.28 W m-2 – equivalent to an increase in effective emission altitude of ≈28 m in RCE • globally averaged effective height shows this level of fluctuation at the annual level (26 m rms) – heights have decreased by ≈45 m over the last decade • the major event of the decade is coincident with the 2007-8 La Niña – offsetting height changes between Indonesia and Central Pacific – teleconnections elsewhere appear to dominate the global result NZIP_11 33

Editor's Notes

  1. 12-month running mean of anomalies (h-hbar(time,space))overall decrease 45 m/decade. Sampling uncertainty 8 m,