A MONTE CARLO SIMULATION OF THE CARBON CYCLE
Posted June 10, 2020
on:CARBON CYCLE DIAGRAM FROM THE IPCC
[LINK TO THE HOME PAGE OF THIS SITE]
RELATED POSTS ON THE CARBON CYCLE [LINK] [LINK]
RELATED POST: AN EXCLUSIVE RELIANCE ON FOSSIL FUEL EMISSIONS OVERLOOKS NATURAL CARBON FLOWS. [LINK]
THIS POST IS A STUDY OF THE UNCERTAINTY IN CARBON CYCLE FLOWS MADE WITH MONTE CARLO SIMULATION. STATED UNCERTAINTIES ARE USED FOR FLOWS FOR WHICH UNCERTAINTY ESTIMATES ARE AVAILABLE. FLOWS FOR WHICH UNCERTAINTY ESTIMATES ARE NOT STATED BY THE IPCC, AN UNCERTAINTY VALUE IS DERIVED FROM THE STATED VALUES.
PART-1: CARBON CYCLE FLOWS AND THE AIRBORNE FRACTION
The IPCC describes the carbon cycle in terms of carbon dioxide flows among multiple sources and sinks. The atmosphere plays a role in nine of these flows. These mean flows, averaged over the decade 2000-2009 (Figure 7) and their standard deviations (SD) as reported by the IPCC are listed below in units of GTC/y (IPCCAR5, 2013). Non availability of data is indicated by N/A.
- Natural: Ocean surface to atmosphere:Mean=78.4,SD=N/A.
- Natural: Atmosphere to ocean:surface:Mean=80.0,SD=N/A
- Human: Fossil fuel emissions:surface to atmosphere:Mean=7.8,SD=0.6
- Human: Land use change:surface to atmosphere:Mean=1.1,SD=0.8
- Natural: Photosynthesis:atmosphere to surface:Mean=123.0,SD=8.0
- Natural: Respiration/fire:surface to atmosphere:Mean=118.7,SD=N/A
- Natural: Freshwater to atmosphere:Mean=1.0,SD=N/A
- Natural: Volcanic emissions surface to atmosphere:Mean=0.1,SS =N/A
- Natural: Rock weathering:surface to atmosphere:Mean=0.3,SD=N/A
- TOTAL TO ATMOSPHERE: 207.4
- TOTAL FROM ATMOSPHERE: 203
- NET TO ATMOSPHERE=4.4 = 56% AIRBORNE FRACTION OF EMISSIONS.
- THIS RESULT SITS AT THE FOUNDATION OF THE THEORY OF ANTHROPOGENIC GLOBAL WARMING (AGW) AND CLIMATE CHANGE BECAUSE THIS IS THE ONLY CLAIMED ROLE OF HUMANS, THE SOLE ARGUMENT FOR HUMAN CAUSE, AND THE SOLE BASIS FOR THE CALL TO CLIMATE ACTION.
- THE THEORY OF AGW STATES THAT FOSSIL FUEL EMISSIONS CAUSE GLOBAL WARMING BECAUSE THE AIRBORNE FRACTION INCREASES ATMOSPHERIC CO2 CONCENTRATION.
- HOWEVER, AS WE SHOW BELOW, THE COMPUTED AIRBORNE FRACTION HAS NO INTERPRETATION IN TERMS OF ATMOSPHERIC COMPOSITION BECAUSE IT DOES NOT TAKE UNCERTAINTIES INTO ACCOUNT; AND WHEN UNCERTAINTIES ARE TAKEN INTO ACCOUNT NO STATISTICALLY SIGNIFICANT AIRBORNE FRACTION IS FOUND IN THE DATA AND THAT THEREFORE THERE IS NO EVIDENCE OF HUMAN CAUSE AND NO EVIDENCE OF EITHER THE NEED OR THE EFFECTIVENESS OF CLIMATE ACTION.
PART-2: A CARBON CYCLE FLOW BALANCE IN THE PRESENCE OF UNCERTAINTY
FIGURE 1: MONTE CARLO SIMULATION VIDEO
FINDINGS OF THE MONTE CARLO SIMULATION ANALYSIS
FIGURE 2: FLOWS TO AND FROM THE ATMOSPHERE WITH FOSSIL FUEL EMISSIONS
FIGURE 3: FLOWS TO AND FROM THE ATMOSPHERE: NO FOSSIL FUEL EMISSIONS
FIGURE 4: NET CO2 FLOW TO THE ATMOSPHERE WITH FOSSIL FUEL EMISSIONS
FIGURE 5: NET CO2 FLOW TO THE ATMOSPHERE: NO FOSSIL FUEL EMISSIONS
ANALYSIS
- THE IMPORTANT CARBON CYCLE FLOWS ARE AN ORDER OF MAGNITUDE LARGER THAN FOSSIL FUEL EMISSIONS AND THEY CANNOT BE DIRECTLY MEASURED BUT MUST BE INFERRED FROM RELATED DATA. THEREFORE, THEY ARE SUBJECT TO LARGE UNCERTAINTIES THAT ARE OFTEN LARGER THAN FOSSIL FUEL EMISSIONS.
- THE COMPLEX MASS BALANCE OF UNCERTAIN FLOWS IS CARRIED OUT WITH MONTE CARLO SIMULATION WHERE 150 RANDOM VALUES ARE DRAWN FROM ALL POSSIBLE VALUES WITHIN THE STATED UNCERTAINTY OF CARBON CYCLE FLOWS.
- THE IPCC PROVIDED AN UNCERTAINTY VALUE FOR THE FLOW OF CO2 REMOVED FROM THE ATMOSPHERE BY PHOTOSYNTHESIS AS A STANDARD DEVIATION OF σ=8 IN A FLOW WITH A MEAN VALUE OF μ=123. THE UNCERTAINTY IN THIS CASE CAN BE REPRESENTED AS σ=8/123 OR 6.5% OF THE MEAN . THE UNCERTAINTY FOR THE OTHER UNCERTAIN CARBON CYCLE FLOWS ARE NOT PROVIDED AND ARE THEREFORE ESTIMATED AS 6.5% OF THE MEAN.
- IN THE MONTE CARLO SIMULATION, 150 POSSIBLE VALUES ARE DRAWN FROM WITHIN THIS UNCERTAINTY BAND FOR EACH UNCERTAIN CARBON CYCLE FLOW. LINES DRAWN THROUGH THESE 150 VALUES ARE DEPICTED IN THE CHARTS ABOVE FROM FIGURE 1 TO FIGURE 5.
- IN FIGURE 4 ABOVE WE FIND THAT WHEN FOSSIL FUEL EMISSIONS ARE INSERTED INTO THE CARBON CYCLE FLOWS, THE MEAN OF THE 150 RANDOM MONTE CARLO SIMULATION VALUES OF THE AIRBORNE FRACTION IS μ=4.77 WITH A STANDARD DEVIATION OF σ=12.7 . THE RESULTS SHOW NO STATISTICALLY SIGNIFICANT CONTRIBUTION OF FOSSIL FUEL EMISSIONS TO ATMOSPHERIC COMPOSITION.
- THE MASS BALANCE IS REPEATED IN FIGURE 5 ABOVE WITHOUT FOSSIL FUEL EMISSIONS. HERE WE FIND THE MEAN OF THE AIRBORNE FRACTION IS CLOSE TO ZERO AS WE WOULD EXPECT WITH A COMPUTED MEAN OF μ= –1.7 BUT WITH A LARGE STANDARD DEVIATION OF σ=12.1. THE LARGE STANDARD DEVIATION IMPLIES THAT THE COMPUTED MEAN HAS NO INTERPRETATION BECAUSE IT IS NOT STATISTICALLY SIGNIFICANT.
SUMMARY OF NET CO2 FLOWS TO THE ATMOSPHERE
CASE 1: NO FOSSIL FUEL EMISSIONS: MEAN=-1.7, STDEV=12.1, TSTAT=0.14
CASE 2: WITH FOSSIL FUEL EMISSIONS: MEAN=4.77, STDEV=12.7, TSTAT=0.375
THE RESULTS IMPLY THAT THE TWO MEAN CONTRIBUTIONS OF THE CARBON CYCLE WITH AND WITHOUT FOSSIL FUEL EMISSIONS TO ATMOSPHERIC CO2 CONCENTRATION HAVE NO INTERPRETATION BECAUSE OF A COMPLETE ABSENCE OF STATISTICAL SIGNIFICANCE DUE TO LARGE UNCERTAINTIES.
CONCLUSION: WE CONCLUDE THAT WITHIN THE STATED UNCERTAINTIES OF CARBON CYCLE FLOWS, NO EVIDENCE IS FOUND IN THE DATA THAT FOSSIL FUEL EMISSIONS CAUSE CHANGES IN ATMOSPHERIC CO2 CONCENTRATION. THE UNCERTAINTIES IN CARBON CYCLE FLOWS ARE TOO LARGE TO DETECT THESE ASSUMED EFFECTS.
THE ASSUMED SENSITIVITY OF ATMOSPHERIC COMPOSITION TO FOSSIL FUEL EMISSIONS IS THE ESSENTIAL BASIS FOR THE THEORY OF ANTHROPOGENIC GLOBAL WARMING BY THE INDUSTRIAL ECONOMY AND THE CALL FOR COSTLY CLIMATE ACTION; BUT NO SUCH SENSITIVITY IS FOUND IN THE DATA. THIS RESULT IS SUPPORTED BY CORRELATION ANALYSIS PRESENTED IN A RELATED POST AT THIS SITE [LINK TO CORRELATION ANALYSIS].
POSTSCRIPT: IT IS NOTED THAT THE ESSENTIAL MESSAGE OF THE CLIMATE MOVEMENT IS NOT CLIMATE CHANGE BUT CLIMATE ACTION. CLIMATE CHANGE IS SEEN THROUGHOUT THE HOLOCENE AS CYCLES OF WARMING AND COOLING [LINK] . CATASTROPHIC CLIMATE CHANGE SERVES ONLY AS THE RATIONALE FOR CLIMATE ACTION. AS SUCH AGW CLIMATE CHANGE IS JUST THE LATEST INCARNATION OF THE ANTI FOSSIL FUEL MOVEMENT AS DESCRIBED IN A RELATED POST [LINK] . THE REAL ISSUE IN THE CLIMATE CHANGE ISSUE IS HUMAN CAUSE AND NOT CLIMATE CHANGE.
RELATED POSTS [LINK] [LINK] [LINK]
WHAT IS MONTE CARLO SIMULATION?
29 Responses to "A MONTE CARLO SIMULATION OF THE CARBON CYCLE"

Haven’t had time to read the full post, but I was struck by this point:
THIS RESULT SITS AT THE FOUNDATION OF THE THEORY OF ANTHROPOGENIC GLOBAL WARMING AND CLIMATE CHANGE.
The real fundament of all the climate nonsense is the idea that our cold, thin atmosphere “further heats” the surface above what the sun is able to provide. So suggest to attack this claim as much as possible.
See https://www.researchgate.net/publication/47429333_Atmospheric_CO2_Principal_Control_Knob_Governing_Earth's_Temperature
specifically:
The Sun is the source of energy that heats
Earth. Besides direct solar heating of the ground,
there is also indirect longwave (LW) warming
arising from the thermal radiation that is emitted
by the ground, then absorbed locally within the
atmosphere, from which it is re-emitted in both
upward and downward directions, further heating
the ground and maintaining the temperature gradient in the atmosphere.
The article also claims that the avg temperature of Earth without atmosphere would be ~255K. Our moon proves this claim wrong.
If the atmosphere “further heats” the surface from ~255K to ~288K, it must also have heated the deep oceans from ~255K to ~275K.
Totally impossible.
The deep oceans were heated during their creation by sitting on (almost) bare magma. With a cooling world, the crust increased in thickness and the oceans cooled as well, to “normal” temperatures in the 275-300K range. The sun provides the last 10-15K to the surface AND thus creates the insulating layer that keeps geothermal heat mostly in the deeper oceans.
The atmosphere only reduces the energy loss from the surface to space.
Due to the hydrostatic equilibrium the atmosphere is in, the entire atmosphere must be involved in this process. Role of CO2 irrelevant at best.


The material balance is always fulfilled for the system :
Inlets + Produced = Outlets + Accumulated
For the atmosphere there is inlet CO2 flowing from the nature (land and oceans), from fossil fuel combustion, cement production, and land use (Anthropogenic) :
• Inlets = Nature_in + Anthrop_in
• Produced = 0 (CH4 & CO concentration is ~0)
• Outlets = Nature_out + Anthrop_out
==>
Nature_in + Anthrop_in + 0 = Nature_out + Anthrop_out + Accumulated
and
• Accumulated, measured at e.g. Mauna Loa.
• Anthrop_out = 0 ppm/year.
==>
(Nature_in – Nature_out) + Anthrop_in = Accumulated
==>
Nature_out – Nature_in = Anthrop_in – Accumulated
The right hand parts of the equation are rather well known and bigger than zero, then the left hand part also is bigger than zero, i.e. atmosphere’s CO3 flow is net to the nature.
Kind regards
Anders Rasmusson

The fallacy of this argument follows from circular reasoning. It has been undressed by Professor Salby.



The CO2 concentration in the atmosphere is calculated to increase by approximately 4.5 ppm/year if nothing else happens (fossil fuel CO2 emission = 36*10^12 kg/year ; 44 kg/kmole ; atmos weight = 5.2*10^18 kg ; 29 kg/kmole ==> 36/44/5.2*29*10^-6 = 4.5 ppm/year).
If the nature (land and oceans) also are net adding CO2, then the atmospheric CO2 concentration would increase by more than 4.5 ppm/year.
At Mauna Loa the atmospheric CO2 concentration is measured to increase, accumulate, by only 2.5 ppm/year.
The difference, 2 ppm/year, has to be accumulated elsewhere – into the nature. This figure is calculated, without knowing anything about the nature’s CO2 flow, from the atmos material balance, which always is fulfilled :
Nature_out – Nature_in = Anthrop_in – Accumulated
With figures :
Nature_out – Nature_in = 4.5 – 2.5 = 2.0
Even if the nature’s flow into the atmosphere is very big and not fully known, the flow out from the atmosphere into the nature is bigger. All according to the atmos CO2 material balance, net 2 ppm/year to the nature.
Kind regards
Anders Rasmusson

June 10, 2020 at 5:00 pm
Reblogged this on uwerolandgross.
June 10, 2020 at 5:15 pm
Thank you sir.
June 10, 2020 at 7:14 pm
Thank you Uwe
June 12, 2020 at 1:05 pm
https://tambonthongchai.com/2020/06/11/racism-and-climate-change/