Processes with the influence on Earth’s temperature and their modelling Ing. Pavel Oupicky Institute of Plasma Physics AV ČR ,v.v.i. Department of Optical Diagnostic Turnov Keywords: TSI (total solar irradiation), black and grey body, albedo, greenhouse effekt ,effektive temperature, climate modeling, Daisyworld, Greenhouseworld , Wimovac,Moses radiometers, spectroradiometers, satellites
Procesy ovliňující teplotu Země a jejich modelování Ing. Pavel Oupický Ústav fyziky plazmatu AV ČR ,v.v.i. Oddělení optické diagnostiky Turnov Klíčová slova: TSI (total solar irradiation), černé a šedé těleso, albedo, skleníkový efekt ,efektivní teplota, klimatické modely, Daisyworld, Greenhouseworld , Wimovac,Moses radiometry, spektroradiometry, satelity
Earth reflection + irradiation -> ….. <- Solar irradiation [1] Sun + Earth Earth reflection + irradiation -> ….. <- Solar irradiation [1]
Energy comming <=> Enegry leaving Climate Change and Greenhouse Effect. A briefing from the Hadley Centre for Climate Prediction Professor John Mitchell et al, Chief Scientist, Met Office December 2005
Black body - Planck law (for wavelength) I is irradiation of black body of temperature T on wavelength λ
Planck law (for wave number) I is irradiation of black body of temperature T on wave number ν l=1/ν [l in meters ] l=10000/ν [l in micrometers ]
Stefan-Boltzman law derivation I is total irradiation of black body of temperature T
Prof. Mike Barnsley, University of Wales Swansea
Sun and Earth as black bodies Earth irradiation (T effective ~ 14ºC) = 385W/m2
Earth radiation The amount of energy radiated by the surface of the Earth depends only on the temperature of the surface of the Earth. The type of radiation is also determined by the temperature of the Earth, most of the energy it loses is in the form of infrared radiation. The quantity of radiation lost is proportional to T ^ 4, where T is the Earth’s temperature in kelvins (K).
Black, grey and real body Black body: EBB = σ T s 4 Grey body: EGB = ε σ T s 4 ε (or α) < 1 Emisivity (or absorbance) ε (λ) = const Real Body: ERB = ε (λ) σ T s 4
Sun <---> Earth Power Balance PDISK = PSR ~ PEI = PKOULE
Sun + {geothermal + fosil} power π r 2 ETSI {+ 4 π r 2 EGI + 4 π r2 EFI }
Earth outgoing power (Earth as real body) PEI (λ) = 4 π r 2 ε (λ) ETEI ε (λ) = ( 1 - G (λ) ) / ( 1 – A (λ) ) PEI (λ) = 4 π r 2 (( 1 - G (λ) ) / ( 1 – A (λ) )) ETEI
Sun <---> Earth Power Balance π r 2 ETSI + {4 π r 2 EGI + 4 π r 2 EFI } = 4 π r 2 (( 1 - G ) / ( 1 – A )) ETEI Next: dividing by 4 π r 2 and multipling by (1-A) :
Sun <=> Earth Radiation Balance (1- A) ( ETSI / 4 + {EGI + EFI} ) = (1- G) ETEI where : ETEI = σ T e 4 A(l,φ,t,h,etc.) is albedo, A<1 G(l,φ,t,etc.) is greenhouse “albedo”, G<1 Te is effective temperature in Kelvins
Sun <=> Earth Radiance Balance EGI= 0 , EFI = 0 (1 - A) ETSI / 4 = (1- G) σ T e 4 Basic equation of Solarworld (of black and grey bodies)
Effective (emissive) temperature definition Te ~ ETSI / 4 ESI (φ) = ETSI cos2(φ)/ 2 (change between day and night, φ is latitude) on equator ( φ = 0 ) ESI (0) = ETSI / 2 ETSI cos2(φ)/ 2 = ETSI / 4 => φ cos 2(φ) = 1/2 => cos(φ) = 0.707 => 45º ~ Te
Effective and global temperature Temperature is monitored on the many places on Earth for the long time “Global temperature” is the average from many measurement
On earth globe temperature Observed mean temperature from January to December 1961 - 1990
TSI data from NASA Next data were obtained from the NASA Langley Research Center Atmospheric Science Data Center.
TSI data from SORCE / TIM TSI on the top of earth orbit on the earth distance from Sun and re-count on A.U. TSI data from SORCE / TIM
TSI on the top of earth orbit in A.U. and earth distance from Sun TSI data from SORCE / TIM / detail
TSI on the top of earth orbit in A.U. TSI data comparison from ACRIM and SORCE satelites
TSI on the top of earth orbit in A.U. TSI data comparison from ACRIM and SORCE satelites - detail
TSI on the top of earth orbit in A.U. Data Quality Description (updated 13 December 2005) To date the TIM is proving very stable with usage and solar exposure, and long-term relative uncertainties are estimated to be less than 0.014 W/m2/yr (10 ppm/yr). Present absolute accuracy is estimated to be 0.48 W/m^2 (350 ppm), largely determined by the agreement between all four TIM radiometers. There remains an unresolved 4.5 W/m2 difference between the TIM and other space-borne radiometers, and this difference is being studied by the TSI and radiometry communities.
TSI on the top of earth orbit in A.U. TSI data from ACRIM / ACRIM3 satelite - detail
TSI in three solar cycles TSI from the maxima of 21. solar cycle to the minima of 21.solar one
Data from ACRIM3 - example
Sun and Earth as ideal black body radiators Theoretical count of spectra
Sun and Earth as ideal black body radiators Theoretical count of normalised spectra
Solar irradiation measuring On the top of atmosphere and on the Earth in sea level
Solar irradiation measuring Measuring on the Earth surface Malá Skála (near of Turnov city, Czech Republic)
Earth reflection and absorption (Campbell and Norman 1998) Shortwave radiation budget [1] Reflection : a) Atmosphere c) clouds e) surface Absorption: b) atmosphere d) clouds f) surface
Incoming Solar radiation 342 = 1368 / 4 [ W/m2]
Reflected solar radiation Picture from NASA / Satellite Terra/Modis measuring
Earth and atmosphere irradiation Longwave irradiation budget a) absorbed by atmospheric gases b) lost to space c) from atmospheric gases d) sensible heat flux e) from clouds f) latent heat flux
Earth and atmosphere irradiation Satellite measuring (Modis) (Data from NASA, Earth Observatory)
Total Sun <-> Earth radiation balance Radiation - all in W/m2
Total Sun <-> Earth radiation balance Picture from NASA / Earth Observatory
Total Sun <-> Earth radiation balance
Earth incoming <-> outgoing energy balance all in W/m2 What is the net energy at the top of the atmosphere? Incomming : 1368/4 = 342–77(clouds)–30(surface) = 235 W/m2 Outgoing: 165(a)+30(c) + 40(w) = 235 W/m2 The Earth (planet and atmosphere) receives as much energy from the Sun as it loses to space What is the net energy of the centre of the atmosphere? Incoming : 67(aa) + 78(vap) + 24(thermal) + 350(es) = 519 Outgoing: 324(back)+165(e)+30(c) = 519 The atmosphere receives as much energy from the Sun as it loses to Space What is the net energy of the surface of the Earth? Incoming: 168(Sun) + 324(gases) = 492 Outgoing: 390(surface) + 78(vap) + 24(thermal) = 492
Earth incoming <-> outgoing energy balance Atmosphere
Earth incoming <-> outgoing energy balance results The surface of the Earth receives as much energy from the Sun as it loses to space All the elements of the Earth/atmosphere system lose as much energy as they gain. Therefore, their temperature stays stable.
Climate models Zero-dimensional models Higher Dimension Models Radiative-Convective Models EMICs (Earth-system Models of Intermediate Complexity) GCMs (Global Climate Models or General Circulation Models
Zero-dimensional models A very simple model of the radiative equilibrium of the Earth is (1 − a) S πr2 = 4πr2 ε σT4 where the left hand side represents the incoming energy from the Sun the right hand side represents the outgoing energy from the Earth, calculated from the Stefan-Boltzmann law assuming a constant radiative temperature, T, that is to be found, and
Zero-dimensional models The constant πr2 can be factored out, giving (1 − a) S = 4 ε σ T 4 This yields an average earth temperature of 288 K. This is because the above equation represents the effective radiative temperature of the Earth (including the clouds and atmosphere).
Zero-dimensional models S is the solar constant - the incoming solar radiation per unit area - about 1367 W·m-2 a is the Earth's average albedo, measured to be 0.3 [1] [2] r is Earth's radius — approximately 6.371×106m π is well known, approximately 3.14159 σ is the Stefan-Boltzmann constant — approximately 5.67×10-8 J·K-4·m-2·s-1 ε is the effective emissivity of earth, about 0.612
( 1/Ghf(λ) ) = 1- G(λ) = ε (λ) Greenhouse effect EEI = ε (λ) σ T s 4 EEI = (1- G(λ)) σ T s 4 ( 1/Ghf(λ) ) = 1- G(λ) = ε (λ) EEI = σ T s 4 ε < 1, G<1 , Ghf >1 Greenhouse factor or emissivity or Greenhouse “albedo” equivalents
Earth Balance Radiation Experiment (ERBE) Greenhouse factor derivation – equation (1),(2)
Earth Balance Radiation Experiment (ERBE) Greenhouse factor derivation – equation (3),(4),(5)
Earth Balance Radiation Experiment (ERBE) 4 * Ghf = 2 / (1+ τau ) ?? 1 / Ghf = 2 / (1+ τau ) Ghf = (1+ τau ) Ghf > 1, τau < 1 Greenhouse factor derivation – result ?
Climate modelling (1- A) ETSI /4 + {EGI + EFI} = ( 1- G ) σ T e 4 Solarworld, Waterworld Cloudsworld Daisyworld, Greenhouseworld, Wimovac, Stella Moses (HadSm, HadCm) etc.
Basic counts from the basic equation and constants Solarworld Basic counts from the basic equation and constants
=> Tef earth = 288ºK (15ºC) Solarworld T solar ~ 5780ºK A = 0, G = 0 T ef earth ~ 279ºK (6ºC) A = 0.3, G = 0 T ef earth = 255ºK (-18ºC) A = 0.3 , 1 – G = 0.612 ( G = 0.388 ) => Tef earth = 288ºK (15ºC)
Water -> vapor -> clouds + reflection Cloudsworld Water-Clouds-Cycle Water -> vapor -> clouds + reflection -> rain -> Water … and so one
Daisyworld (John Lovelock, Gaia hypothese) Daisyworld (according to Phillipe Senssini-Gill from University of Calgary)
Daisyworld – close to reality Dark green and light green plants
Daisyworld (according to prof. Mike Barnsley) Globally-averaged temperature of Daisyworld
Daisyworld (according to prof. Mike Barnsley) Example of canopy
Daisyworld (according to prof. Mike Barnsley) Albedo of leaf and soil
Daisyworld from prof. Mike Barnsley Optimal (local) temperature for black and white daisies
Daisyworld (according to prof. Mike Barnsley) Daisies - growth and death rate
Daisyworld (according to prof. Mike Barnsley) New area of black and white daisies
Daisyworld (according to prof. Mike Barnsley) Temperature stability with daisies
Daisyworld from prof. Mike Barnsley Spectral reflectance of leafs and soil
Daisyworld ? / leafs and plants Transmitance of leafs
Daisyworld ? / leafs and plants Relative reflectance of leafs (100% = glass)
Daisyworld ? / leafs and plants Measuring of leaf reflectance - device
Daisyworld ? / leafs and plants Absolute reflectance of leafs (100% - Al, USB2000)
Daisyworld ? / leafs and plants Absolute reflectance of leafs (NIR) (100% = Al , NIR512)
Daisyworld ? / tiles and plant Fiber coupled solar radiation sensor
Daisyworld ? / tiles and plant Fiber coupled solar radiation sensor
Daisyworld ? / tiles and plant Spectroradiometer USB 2000 with cosine extender
Daisyworld ? / tiles and plant Measuring of plant reflectance - schema
Daisyworld ? / tiles and plants Measuring of direct and reflected solar radiation Sun / Yellow , shadow / black, tile / brown, grass / green
Daisyworld ? / tiles and plant Measuring of direct and reflected solar radiation - detail
Daisyworld ? / tiles and plants SPMOORAD/10/task SPM-N-Sun-P080510-11.par Spectrum of Sun and refl. from grass and tile Time: 2008-05-04,14:40,SEC User: autor Spectrometer:OO-USB2000,USB2G13027 Inputs:4 WDB/300/849/BS,GREEN/500/599/BS, RED/600/699/BS,NIR/700/799/BS ( BS = Band Sum )
Daisyworld ? / tiles and plants Table nr.1: results / reflected radiation from grass and tile in W/m2 |------------------------------------------------------------------------| |Time | WIDE | GREEN| RED | NIR |Ang.| Comment | |13:38:10.17| 29.775| 2.648| 0.390| 2.684| -45| reflectance of grass | |13:40:01.75| 27.061| 2.696| 0.409| 2.830| 0| - “ - | |13:39:19.80| 32.589| 3.272| 0.570| 2.954| 45| - “ - | |13:54:39.20|389.953|42.001|11.088| 8.322| -0| Sun direct on Earth | |13:55:01.79|150.208|14.582| 3.457| 2.495| -0| cloudy | |13:55:20.63| 34.223| 3.939| 1.151| 1.644| 0| reflectance of tile | |13:56:04.53| 40.807| 4.657| 1.349| 1.908| -45| - “ - | |13:56:30.54| 38.418| 4.486| 1.326| 1.884| 45| - “ - | -------------------------------------------------------------------------- Measuring in bands – Wide, Green, Red, NIR
Daisyworld ? / leafs and plants Table nr.2 : Spectrum of Sun and reflection from grass and tile / Malá Skala / 4.5.2008 File : Sun-080504-MS-forenoon.ftm Input : 4 (WDB,GREEN,RED,NIR) W/m2 Cas abs. || WDB || GREEN || RED || NIR || Comment | ---------------------------------------------------------------------------| | 10:37:29.31 || 49.849 || 8.021 || 3.897 || 4.414 || shadow | | 10:37:50.95 || 525.898 || 114.452 || 78.061 || 54.270 || horizont | | 10:38:37.39 || 743.284 || 157.980 || 111.348 || 78.812 || perpend. | | 10:39:04.62 || 47.412 || 7.741 || 3.805 || 4.202 || shadow | | 10:39:20.82 || 37.832 || 6.550 || 3.832 || 11.344 || grass | | 10:39:53.47 || 39.146 || 7.915 || 5.702 || 8.551 || tile | | 10:40:11.33 || 50.123 || 7.858 || 3.906 || 4.198 || shadow | | -------------------------------------------------------------------------| Measuring in bands – Wide, Green, Red, Nir
Daisyworld ? / tiles and plants Measuring of direct and reflected solar radiation - detail
Daisyworld ? / tiles and plants Programm: SPMOORAD10/data/spr Data file: Spr-Sun-MS-080511-092812.ftm Description: Spectrum of Sun and reflection from grass and tile Parameters: 2,1,1,0 Date and time: 080511*9:27:50*SEC Place: Mala Skala / near of the Turnov, Czech Republic Data: Time * WDB, GREEN, RED, NIR * comment ---------------------------------------------------------- 09:28:40.25 * 276.223, 61.546, 42.187, 29.633 * Sun hor. 09:28:54.72 * 458.327, 101.382, 71.561, 50.773 * Sun perp. 09:29:10.09 * 17.106, 2.726, 1.468, 1.411 * shadow 09:29:50.27 * 26.831, 5.442, 3.730, 6.241 * tile 09:30:12.79 * 27.285, 4.519, 2.330, 9.894 * grass Measuring in bands – Wide, Green, Red, Nir [W/m2]
Daisyworld ? / tiles and plant Measuring with spectroradiometer USB 2000 with cosine extender direct and reflected sun light
Daisyworld ? / tiles and plant Measuring with spectroradiometer USB 2000 with cosine extender direct and reflected sun light
Daisyworld ? / forest and wood Mala Skala / spruce and wood tile
Daisyworld ? / forest and wood Mala Skala / spruce and wood tile - spectra
Daisyworld ? / forest and wood File: Spr-Sun-MS-080517-094140.ftm Description: Radiation of Sun and plants and wood refl. Parameters: 2,1,1,0 Date*Time: 080517*9:41:20*SEC Place: Mala Skala / near of Turnov, Czech Republic Device: USB2000,USB2G13027,Spm-Kal-N-Hal-W4-080510-11.kal Bands: 4*WDB,GREEN,RED,NIR, Data: Time * WDB , GREEN , RED , NIR * comment -------------------------------------------------------- 09:41:43.14* -0.385, -0.012, -0.012, -0.075 * dark 09:41:58.83* 259.607, 57.884, 39.928, 31.020 * horizont. 09:42:22.85* 365.421, 81.802, 57.369, 42.810 * direkt 09:42:44.31* 22.313, 4.152, 2.277, 6.521 * forest 09:43:12.27* 25.948, 5.758, 4.170, 4.456 * wood 09:43:35.12* 19.542, 3.842, 1.924, 8.635 * grass =========================================================
Daisyworld ? / forest and soil Flux Tower from BOREAS project
Daisyworld ? / forest and soil Ground Flux from BOREAS project
BOREAS / forest and soil Interaction between the BOReal Forest and the AtmoSphere
Bartlett flux tower during spring-early summer 2004 J.P.Jenkins / Agricultural and Forest Meteorology 143 (2007) 64–79
Bartlett flux tower during spring-early summer 2004 J.P.Jenkins / Agricultural and Forest Meteorology 143 (2007) 64–79
NASA / Satellites Launching of Terra
NASA / Satellites / ERBS, TERRA, GLORY ERBS / ERBE Earth Radiation Budget Experiment Scanner - A set of three co-planar detectors (longwave, shortwave and total energy), all of which scan from one limb of the Earth to the other, across the satellite track (in it's normal operational mode). Nonscanner - A set of five detectors; one which measures the total energy from the Sun, two which measure the shortwave and total energy from the entire Earth disk, and two of which measure the shortwave and total energy from a medium resolution area beneath the satellite.
NASA / Satellites / ERBS, TERRA, GLORY Terra / ACER, MODIS, CERES, ….. MODerate-resolution Imaging Spectroradiometer (MODIS) , Clouds and Earth's Radiant Energy System (CERES) Advanced Spaceborne Thermal Emission and Reflection Radiometer (ASTER)
Satellite Terra
TERRA / MODIS
CERES / Clouds and Earth Radiation Energy System Shortwave radiation
CERES / Clouds and Earth Radiation Energy System Longwave radiation
Albedo of ecosystems without snow Satellite/Modis – snow free albedo Shortwave reflection
Albedo of ecosystems with snow Satellite/Modis – albedo with snow
Albedo of ecosystems with snow Ecosystems that have some vegetative canopy generally have a lower albedo. Canopied ecosystems exhibit a peak around 0.86 μm that suggests contribution by the snow on the canopy (leaf/needle or otherwise). Evergreen needleleaf forests have the lowest overall spectral albedo, undoubtedly due to the relatively lush winter canopy that obscures the ground-level snow. The deciduous broadleaf and deciduous needleleaf forests have nearly identical spectral signatures, as their winter canopies (of dense branches) are similar. These results are in accordance with modeling studies that show canopies that cover snow reduce the surface albedo during winter times (Bonan,1997; Bounoua et al., 2000). Effect of evergreen needleaf forests with snow
Albedo of ecosystems with snow Graph of albedos of different ecosystems
Albedo of ecosystems with snow The research reported in this article was supported by EOS MODIS support, the MODIS Science Team under NASA contract 621-30-H4, and to Goddard Space Flight Center (E.G. Moody, M.D. King, D.K. Hall, S. Platnick) and NASA contract NAS5-31369 to Boston University (CBS).
Principle of Greenhouseworld
Greenhouseworld ILW = (1- G) σ T4 G = kGE CE C ~ CO2 CO2 + light => photosynthesis dC/dt = - kG N Tmin < T < Tmax dC/dt = kM N T < Tmin , T > Tmax G = kGE CE Where N is number of leaf population (or leaf index), kG is constant of photosynthesis, kM is constant of mortality
Greenhouseworld (Lee Worden) A (albedo) = konst, (1–G) is function of resources R and population N
Greenhouseworld (Lee Worden) h0, h1 is amount of „greenhouse effect“ potential, R0 is resource, R1 is waste product N0 is population of individuals t0 is optimal temperature ( ~ 50F ), Mtotal is total mass in system ( R0 + R1 + N0 = 1.0 )
Greenhouseworld (Lee Worden) Social - ecological System of Individuals
Greenhouseworld (Lee Worden) General model parameters
Greenhouseworld (Lee Worden) Model phenotypic and resource-specific parameters
Greenhouseworld (Lee Worden) Basic equations
Greenhouseworld (Lee Worden) Result ( y is relative time, x is temperature [ºF] )
Greenhouseworld – carbon balance Carbon is stored on Earth in a number of major reservoirs: Carbon dioxide (CO2) in the atmosphere Carbon dioxide dissolved in water Carbonate (CaCO3) rocks (limestones and corals) Fossil fuels - deposits of coal, petroleum, and natural gas derived from once-living things Living plants Dead organic matter - e.g. harvested wood and wood products, plant litter, humus in the soil Carbon is continuously cycled between these reservoirs in the ocean, on the land, and in the atmosphere. This carbon cycle has been continuing naturally since plant life took hold on land about 400 million years ago.
Greenhouseworld – carbon balance Redrawn from NASA's Earth Observatory and Cooperative Research Centre for Greenhouse Accounting
Greenhouseworld – carbon balance Redrawn from NASA's Earth Observatory and Cooperative Research Centre for Greenhouse Accounting
Cooperative Research Centre for Greenhouse Accounting Greenhouse effect The blanket of gases covering the Earth traps some of this radiation while the rest is re-radiated towards space. This absorption of heat maintains the Earth's surface temperature at a level necessary to support life. This natural process is called the greenhouse effect. Without heat-trapping greenhouse gases, the surface of the Earth would have an average temperature of -18°C rather than our current average of 15°C. Unfortunately, human actions such as burning fossil fuels and land clearing are increasing the concentration of greenhouse gases in the atmosphere, resulting in an increase in the heat trapped. This is called the enhanced greenhouse effect. The major consequence of this is an increase in temperature on the Earth's surface resulting in climate changes. Cooperative Research Centre for Greenhouse Accounting
Wimovac Windows Intuitive Model Of Vegetation response to Atmospheric & Climate change University of Essex and Brookhaven National Laboratory Free Air Carbon dioxide Enrichment (FACE) experiments.
Wimovac Plant in Wimovac model
1/2 scheme of Wimovac model
2/2 scheme of Wimovac model
GCM / MOSES MOSES I. MOSES II. (2.2) (Cox et al (1999)) MOSES II. (2.2) (Richard Essery, Martin Best and Peter Cox (2001)) Tiled model of subgrid heterogenity The set of equations represented by 126 ones is solved by a two-sweep algorithm (subroutine GAUSS). Hadley Centre, Met Office, London Road, Bracknell, Berks R12 2SY, UK
Princip of 3D Global Climate Model GCM / MOSES II. Princip of 3D Global Climate Model
GCM / MOSES II. + TRIFFID => HadCM3
GCM / MOSES II. + TRIFFID Albedos of snow free vegetated and unvegetated tiles
GCM / MOSES II. + TRIFFID
Basic equation for carbon cycle GCM / MOSES II. + TRIFFID Basic equation for carbon cycle
Global climate modeling and prediction Input data
Global climate modeling and prediction Input data
Global climate modeling and prediction Output data (without men influence)
Global climate modeling and prediction Output data (with men influence)
Global climate modeling and prediction BOINC – Climate prediction experiment
Global climate modeling and prediction BOINC – Climate prediction experiment
Processes with the influence on Earth’s temperature and their modelling Special thanks to all from which I took their science info and pictures
Thank you very much for your attention Published on conference The man in his earth and space environment Upice Observatory / Czech Republic At 2008-05-22 (1. revision for web pages at 2008-07-10)