Visit ArabTopics.com

Reassessing the RCPs

by Kevin Murphy

A response to: “Is RCP8.5 an impossible scenario?”. This post demonstrates that RCP8.5 is so highly improbable that it should be dismissed from consideration, and thereby draws into question the validity of RCP8.5-based assertions such as those made in the Fourth National Climate Assessment from the U.S. Global Change Research Program.

Analyses of future climate change since the IPCC’s 5th Assessment Report (AR5) have been based on representative concentration pathways (RCPs) that detail how a range of future climate forcings might evolve.

Several years ago, a set of RCPs were requested by the climate modeling research community to span the range of net forcing from 2.6 W/m2 to 8.5 W/m2 (in year 2100 relative to 1750) so that physics within the models could be fully exercised. Four of them were developed and designated as RCP2.6, RCP4.5, RCP6.0 and RCP8.5. They have been used in ongoing research and as the basis for impact analyses and future climate projections.

AR5 does not provide probability assignments for any of the RCPs, and yet many impact assessments utilize RCP8.5 to declare consequences of inaction. For example, while RCP4.5 and RCP8.5 are utilized for the Fourth National Climate Assessment (NCA4), the majority of its assertions are based in RCP8.5. The NCA4 states, “RCP8.5 implies a future with continued high emissions growth, whereas the other RCPs represent different pathways of mitigating emissions.” (Executive Summary, p.7). The reader is left with the impression that, although “high” is not defined, it is the present state of things and RCP8.5 delineates how it will grow higher. Further, the statement portrays the other RCPs as mitigation scenarios that are not being acted upon. Therefore, RCP8.5 has been portrayed as the “business as usual” scenario, and impact assessments continue to spread this falsehood.

This article employs some quantitative analysis and the original RCP documentation to demonstrate how the use of RCP8.5 is misleadingly wrong and a lower, narrower range of future CO2 atmospheric concentrations can be identified.

A Long-Range Forecast Based in the Evidence

The “C” in RCP is for concentration (and not emissions), to emphasize that greenhouse gas (GHG) concentrations are the primary product of the RCPs and inputs to climate models. The Earth’s radiative balance responds to the net result of GHG sources, sinks, and sub-processes as expressed in atmospheric concentration levels. CO2 is by far the dominant GHG contributor and therefore the subject of this analysis.

Long, rigorous ongoing CO2 measurement data sets are available from the South Pole since 1957 and from Mauna Loa since 1958. The values are reported with very small measurement uncertainties, and they reveal a consistent positive trend over the past 60 years with a slightly concave-upward shape. While their annual CO2 values were similar in the late-1950s (at 315 ppm), Mauna Loa data have been increasing slightly more than South Pole data and both now exceed 400 ppm (Fig. 2). Other measurement stations subsequently added to global CO2 monitoring comprise a marine surface data set with values between the South Pole and Mauna Loa series. South Pole and Mauna Loa data are employed for this analysis since they are the longest time series and they bracket other data.

Figure 2. History and forecasts of CO2 concentration. RCP8.5 is defined by 936 ppm in 2100.

Increasing CO2 is a long-term substitution process as it transitions to a larger fractional share of atmospheric concentration. If well underway, such a process can be studied utilizing a logistic function as described by J.C. Fisher & R.H. Pry in their landmark forecasting paper, A Simple Substitution Model of Technological Change. The methodology provides a top-down appraisal of an ongoing transition assuming continuity in evolution of its contributing elements into the future. The method has been successfully employed in thousands of long-range forecasting applications across many fields of study. Its form is shown in Figure 1.

Figure 1. Fisher-Pry formulation of a logistic substitution model.

If sufficient historical data is available, the differential equation in Figure 1 can be readily solved through minimization of a rigorously constructed Chi-Square function. A solution reveals the ceiling value, process mid-point and rate constant; and it thereby has predictive power. The early portion of the S-curve is approximately exponential, followed by a transition towards the inflection point at which growth rate peaks, thereafter declining as the cumulative curve approaches its long-term ceiling.

For the case of CO2, the cumulative S-curve rests upon the pre-industrial starting level of 270-280 ppm. The rate of change in CO2 concentration is presently still increasing (Fig. 3), so the inflection point has not been reached; and second-difference calculations show no acceleration, indicating we are beyond the early exponential phase. The current substitution level should therefore lie between 15% and 50%, and this is found to be the case for the solutions shown in Figures 2 & 3.

Figure 3. Rate of change in CO2 concentration. RCP8.5 abruptly deviates from the historical trend.

The logistic CO2 forecasts project South Pole reaching 587 ppm and Mauna Loa reaching 654 ppm in the year 2100 (Fig. 2). The 90% confidence limits are calculated from variance of observations relative to the logistic fit and as a function of substitution level reached (Mauna Loa 24%, South Pole 33%). The result is well-constrained limits, and the slight divergence between data series continues into the future. RCP4.5 and RCP6.0 are similar to the South Pole forecast until mid-century, when RCP4.5 plateaus under mitigation assumptions and RCP6.0 increases towards the Mauna Loa forecast. RCP6.0 eventually reaches a ceiling below the Mauna Loa logistic ceiling. Results are detailed in Table 1 along with the values defining the RCPs.

Table 1. Atmospheric CO2 concentration projections.

Figure 3 displays the rate of change in CO2 concentration for the historical record, the logistic forecasts, and what is required to attain the defined RCP concentrations. The 60 year histories have a consistent upward trend, although with year-to-year variability. The highest transients above the trend are attributable to strong El Niño years (most recently 1998, 2016), which impair global vegetative response forming the seasonal CO2 cycle so that the annual value is temporarily elevated. The logistic rates-of-change are projected to attain their maximums (50% substitution) around 2037-2051 for South Pole and 2060-2080 for Mauna Loa. RCP4.5 and RCP6.0 rates bracket the South Pole forecast until mid-century, with transitions thereafter.

But what is glaringly apparent is the excessive rate-of-change required to attain RCP8.5’s 936 ppm in the year 2100. The rate would have to immediately depart from the historical pattern towards more than double any other forecast or RCP. In fact, since the RCPs were developed several years ago, it should have already transitioned to a very high trend to support an RCP8.5 expectation. This has clearly not occurred, and ongoing measurements show it is not happening. Other mathematical formulations were attempted for 936 ppm, but no logically consistent one was found. Even if it were assumed we remain in the early exponential phase of a substitution process the numbers do not support such a high expectation. RCP8.5 is a mathematically flawed projection for the future and clearly not the “business as usual” case. Rather, something similar to RCP6.0 should be assigned that designation, although with some modifications as to how it will evolve.

Revisiting the Origins of RCP8.5

The RCPs were presented in detail in a set of papers published in Climatic Change in 2011, and are worth reviewing. Recall that there was a desire to perform climate modeling over a wide range of forcing values – to fully exercise them from 2.6 W/m2 to 8.5 W/m2. This is understandable from an exploratory research standpoint, but says nothing about the likelihood of specific future outcomes. But, the papers do shed some light upon that.

RCP8.5 is described by the van Vuuren et al.  The representative concentration pathways: an overview  as a very high emissions scenario required to attain the desired forcing level. “RCP8.5 is a highly energy-intensive scenario as a result of high population growth and a lower rate of technology development.” Figures published in the paper identify where each RCP’s assumptions lie within the literature available at the time they were developed. Those taken for RCP8.5 lie at limits of 90th or 98th percentile bands (1% to 5% probability). The population projection is at the high limit of United Nations scenarios. Its primary energy consumption projection lies at the 99th percentile through most of this century. Energy intensity of the economy (energy/GDP) aligns with the 99th percentile from the literature. Improvement in RCP8.5’s carbon factor (CO2/energy) is minimal and at the 95th percentile, reflecting heavy reliance on fossil fuels. Coal comprises nearly 50% of RCP8.5’s energy mix, something which has not been seen since early in the last century. RCP8.5 has consequently been called a “return to coal” scenario (Why do climate change scenarios return to coal?, ). This is inconsistent with natural long-term sequential evolutions of energy technologies that project a declining share of the energy mix for coal.

It should come as no surprise then that a concatenation of very low probability assumptions yields a highly unlikely CO2 concentration at end-century. This result is given by van Vuuren et al. and shown in Figure 4. The RCP8.5 curve exits the literature envelope. The logistic forecasting exercise above confirms the most likely CO2 level that van Vuuren reported several years ago in the vicinity of 600 ppm in 2100 (Fig. 4). Their graph also serves as guidance for what might constitute a “worst case” CO2 scenario, which could be assessed to be in the range of 700-750 ppm.

Figure 4. Graph from van Vuuren et al. 2011 (Fig.9, p.23), the RCP CO2 concentrations. Gray areas indicate 90th and 98th percentile bands (dark/light gray) of referenced literature. RCP4.5/6.0 is centered; RCP8.5 exceeds the upper limit.

So, since it was documented years ago that RCP8.5’s CO2 concentration has a vanishingly small probability of actually occurring, then why has it been promulgated for impact assessments and to inform climate policy? And why have researchers who realize that a true “business as usual” future lies closer to RCP6.0 found that when they go to the climate model library the RCP6.0 model runs do not exist? Have they been purposefully directed to RCP8.5, or is anything less than RCP8.5 unable to force a hypothesized impact?

Conclusions

The 60-year records of rigorous CO2 concentration measurements provide valuable forecasting information that is highly amenable to logistic growth modeling. It is clear that a substitution process is well underway that can be quantified to provide constraints upon expectations of future concentrations. The consistent concave-upward CO2 trend, rising rate-of-change, and well-bounded variance about the logistic solution provide confidence in the resulting forecasts and rejection of significantly inconsistent projections such as RCP8.5.

CO2 concentrations in 2100 will likely fall in the 565-680 ppm range and well short of 936 ppm indicated by RCP8.5. In preparation for the next IPCC assessment report, RCP8.5 has been redefined at even higher CO2 concentrations [link]. Modifications to inconsistent assumptions in minor-GHGs cause CO2 in the new RCP8.5 to exceed 1000 ppm in 2100 through even more coal consumption to retain 8.5 W/m2 forcing. RCP8.5 requires a CO2 rate of change inconsistent with the observed record that will be worsened by higher concentrations.

The RCP reference literature documents how RCP8.5 was based on low probabilities and questionable assumptions. It is not “business as usual” or even a worst case scenario. Consequently, the findings of any impact assessment based in RCP8.5 should be critically reviewed, as they reflect a highly unlikely, if not impossible, outcome.

The NCA4 (Executive Summary, p.22) states “The observed increase in global carbon emissions over the past 15-20 years has been consistent with higher scenarios (e.g., RCP8.5) (very high confidence).” This statement suggests either dismissal of observational evidence or that carbon budget model calculations from emissions to concentration are unable to replicate the historical CO2 measurement record. As evident in Figure 3, the recent record does not support an RCP8.5 pathway, and the statement is false.

Unfortunately the compulsion towards exaggeration can be stronger than duty to facts, and without them it will be impossible to make progress towards preparing for the future. The RCP6.0 pathway is the scenario coming closest to the forecast presented above and therefore a more realistic expectation of the future, and mitigation actions could evolve it towards RCP4.5.

Acknowledgements. The author thanks his colleague, Theodore Modis (growth-dynamics.com), for conducting the logistic forecast calculations. For those interested, the methodology is well-documented in his book Natural Laws in the Service of the Decision Maker (2013).

Moderation note:  As with all guest posts, please keep your comments civil and relevant.

Source: 
Judith Curry

Dear friends of this aggregator

  • Yes, I intentionally removed Newsbud from the aggregator on Mar 22.
  • Newsbud did not block the aggregator, although their editor blocked me on twitter after a comment I made to her
  • As far as I know, the only site that blocks this aggregator is Global Research. I have no idea why!!
  • Please stop recommending Newsbud and Global Research to be added to the aggregator.

Support this site

News Sources

Source Items
WWI Hidden History 51
Grayzone Project 343
Pass Blue 306
Dilyana Gaytandzhieva 16
John Pilger 423
The Real News 367
Scrutinised Minds 29
Need To Know News 3078
FEE 5170
Marine Le Pen 396
Francois Asselineau 25
Opassande 53
HAX on 5July 220
Henrik Alexandersson 1126
Mohamed Omar 403
Professors Blog 10
Arg Blatte Talar 40
Angry Foreigner 18
Fritte Fritzson 12
Teologiska rummet 32
Filosofiska rummet 133
Vetenskapsradion Historia 182
Snedtänkt (Kalle Lind) 247
Les Crises 3351
Richard Falk 202
Ian Sinclair 125
SpinWatch 61
Counter Currents 11251
Kafila 571
Gail Malone 43
Transnational Foundation 221
Rick Falkvinge 95
The Duran 10676
Vanessa Beeley 187
Nina Kouprianova 9
MintPress 5887
Paul Craig Roberts 2251
News Junkie Post 60
Nomi Prins 27
Kurt Nimmo 191
Strategic Culture 5685
Sir Ken Robinson 25
Stephan Kinsella 110
Liberty Blitzkrieg 875
Sami Bedouin 65
Consortium News 2685
21 Century Wire 3919
Burning Blogger 324
Stephen Gowans 98
David D. Friedman 159
Anarchist Standard 16
The BRICS Post 1532
Tom Dispatch 590
Levant Report 18
The Saker 4830
The Barnes Review 569
John Friend 514
Psyche Truth 160
Jonathan Cook 162
New Eastern Outlook 4626
School Sucks Project 1801
Giza Death Star 2083
Andrew Gavin Marshall 15
Red Ice Radio 653
GMWatch 2504
Robert Faurisson 150
Espionage History Archive 35
Jay's Analysis 1105
Le 4ème singe 90
Jacob Cohen 219
Agora Vox 18106
Cercle Des Volontaires 447
Panamza 2454
Fairewinds 118
Project Censored 1090
Spy Culture 599
Conspiracy Archive 82
Crystal Clark 11
Timothy Kelly 618
PINAC 1482
The Conscious Resistance 949
Independent Science News 87
The Anti Media 6877
Positive News 820
Brandon Martinez 30
Steven Chovanec 61
Lionel 305
The Mind renewed 454
Natural Society 2627
Yanis Varoufakis 1069
Tragedy & Hope 122
Dr. Tim Ball 114
Web of Debt 159
Porkins Policy Review 452
Conspiracy Watch 174
Eva Bartlett 635
Libyan War Truth 357
DeadLine Live 1916
Kevin Ryan 66
BSNEWS 2107
Aaron Franz 260
Traces of Reality 166
Revelations Radio News 121
Dr. Bruce Levine 155
Peter B Collins 1713
Faux Capitalism 205
Dissident Voice 11517
Climate Audit 226
Donna Laframboise 490
Judith Curry 1167
Geneva Business Insider 40
Media Monarchy 2596
Syria Report 78
Human Rights Investigation 93
Intifada (Voice of Palestine) 1685
Down With Tyranny 13035
Laura Wells Solutions 46
Video Rebel's Blog 460
Revisionist Review 485
Aletho News 22153
ضد العولمة 27
Penny for your thoughts 3235
Northerntruthseeker 2631
كساريات 37
Color Revolutions and Geopolitics 27
Stop Nato 4836
AntiWar.com Blog 3333
AntiWar.com Original Content 7443
Corbett Report 2545
Stop Imperialism 491
Land Destroyer 1260
Webster Tarpley Website 1143

Compiled Feeds

Public Lists

Title Visibility
Funny Public