Troy's Scratchpad

October 17, 2013

How well do the IPCC’s statements about the 2°C target for RCP4.5 and RCP6.0 scenarios reflect the evidence?

Filed under: Uncategorized — troyca @ 7:57 pm

1. Introduction

In the IPCC AR5 summary for policy makers (SPM), there are few statements that are likely to garner more attention than those related to projected warming for this century under various scenarios.  In particular, given the prominence placed on the 2 degrees Celsius target, I would argue that Section E.1 is of great importance for policy makers. In the top box, we read:

Global surface temperature change for the end of the 21st century is likely to exceed 1.5°C relative to 1850 to 1900 for all RCP scenarios except RCP2.6. It is likely to exceed 2°C for RCP6.0 and RCP8.5, and more likely than not to exceed 2°C for RCP4.5.

(My bold).  Note that RCP4.5 involves a continual increase of global CO2 emissions up until ~2040, whereas RCP6.0 shows a large increase in emissions until ~2060 (see below, from Figure 6 of van Vuuren et al., 2011)  It is obviously of interest to know the likelihood of staying under the 2°C since pre-industrial target this century without reducing global emissions (note that reducing emissions is not the same as reducing the rate of emissions increase) for another 30 – 50 years.


Figure 6, van Vuuren et al., 2011

The statement is repeated in a bullet point below E.1, along with the reference to where we can find more information in the heart of the report:

Relative to the average from year 1850 to 1900, global surface temperature change by the
end of the 21st century is projected to likely exceed 1.5°C for RCP4.5, RCP6.0 and RCP8.5
(high confidence). Warming is likely to exceed 2°C for RCP6.0 and RCP8.5 (high confidence),
more likely than not to exceed 2°C for RCP4.5 (high confidence), but unlikely to exceed 2°C
for RCP2.6 (medium confidence). Warming is unlikely to exceed 4°C for RCP2.6, RCP4.5 and
RCP6.0 (high confidence) and is about as likely as not to exceed 4°C for RCP8.5 (medium
confidence). {12.4}

My Bold.  Based on my reading,  I think the current state of evidence makes it difficult to agree with the qualitative expressions of probability given for RCP4.5 ("more likely than not") and RCP6.0 ("likely") regarding the 2 degrees target, as well as the "high confidence" given, which I will explain in more depth below.

My interest in this was sparked recently when using a two-layer model with prescribed TCR and effective sensitivities to trace the warming up to the year 2100.  Somewhat surprisingly, I found that for many realistic TCR scenarios, the simulated earth warmed less than 2°C  by the end of the century.  I began to do a scan of the recently released AR5 to find the justification for the scenarios mentioned above.

2. Probabilistic Statements and Confidence

First, let’s discuss what the SPM means by "more likely than not to exceed 2°C for RCP4.5 (high confidence)".  Based on my reading of the Uncertainty Guidance, I believe this should mean there is more than a 50% chance of reaching 2°C by the end of the century ("more likely than not"), and that there is plenty of evidence that is in widespread agreement ("high confidence") about this probability.  Regarding the statement about RCP6.0, "Warming is likely to exceed 2°C for RCP6.0 and RCP8.5 (high confidence)", the "likely" refers to a greater than 66% probability.

Anyhow, since SPM points us to Chapter 12 (and section 12.4 in particular) that’s where I’ll start.  From section

The percentage calculations for the long-term projections in Table 12.3 are based solely on the CMIP5 ensemble, using one ensemble member for each model. For these long-term projections, the 5–95% ranges of the CMIP5 model ensemble are considered the likely range, an assessment based on the fact that the 5–95% range of CMIP5 models’ TCR coincides with the assessed likely range of the TCR (see Section below and Box 12.2). Based on this assessment, global mean temperatures averaged in the period 2081–2100 are projected to likely exceed 1.5°C above preindustrial for RCP4.5, RCP6.0 and RCP8.5 (high confidence). They are also likely to exceed 2°C above preindustrial for RCP6.0 and RCP8.5 (high confidence).

This seems to suggest that for the long-term projections (that is, the warming expected by the end of the century), this is based solely on the CMIP5 model runs.  The observational assessments of TCR (transient climate response) only come into play in so much as that “likely” range approximately matches the 5%-95% range of CMIP5 models.  Notice that the statement of greater than 2°C being “more likely than not” for RCP4.5 is absent right here, despite being present in the relevant portion of the SPM.  So how does that statement find justification in the SPM, and how does it have "high confidence"?

3. On the “More Likely Than Not / High Confidence” RCP4.5 Statement

My impression is that this statement arises based on table 12.3, where 79% of the models produce a warming of more than 2°C under the RCP4.5 scenario.  The high confidence presumably comes from the agreement between the assessed likely  range of TCR estimates and the 5-95% range of TCR in models, but the problem with this becomes obvious when looking at box 12.2, figure 2:


Box 12.2, Figure 2

Note that while the assessed grey ranges roughly match, the actual distributions are largely different.  The CMIP5 models have a mode for TCR > 2 (with a mean of 1.8, per chapter 9), while most of the AR5 estimates show a mode to the left of it.  In other words, just because there is "high confidence" in the 5% and 95% boundaries for CMIP5 projections, this does NOT give a legitimate basis for translating it into confidence about more specific aspects of the CMIP5 projected temperature rise distributions, particularly the "most likely" values (implied by the "more likely than not" statement).  Moreover, our best current evidence suggests the average of CMIP5 models is running too hot (as seen below), so one must be especially careful about making such specific statements based AOGCM results.

In section, the report alludes to the higher CMIP5 transient response issue:

A few recent studies indicate that some of the models with the strongest transient climate response might overestimate the near term warming (Otto et al., 2013; Stott et al., 2013) (see Sections 10.8.1,, but there is little evidence of whether and how much that affects the long term warming response.

This last statement is quite curious.  After all, the report claimed above that the rough matching of the range of TCR estimates with the 5-95% range of CMIP5 TCRs increased confidence in CMIP5 projections of long-term warming, but here the discrepancy in TCRs between estimates and models is dismissed due to lack of evidence of how it affects long-term warming? This seems hard to reconcile with Box 12.2, which notes:

For scenarios of increasing radiative forcing, TCR is a more informative indicator of future climate than ECS
(Frame et al., 2005; Held et al., 2010).

Indeed, this relative importance of TCR for end of century warming is one of the things I talked about in my last post Further investigation using that 2-layer model (script here) produces the following chart of TCR vs. 2081-2100 temperature above pre-industrial: 


While the model is simplified and only uses one mean forcing series (from Forster et al., 2013), it indicates that a TCR less than 1.6 K likely indicates less than 2 degrees of warming by the end of the century for the RCP4.5 scenario.  Again, going back to table 12.3, we see that 79% of the models produce a warming of more than 2°C under the RCP4.5 scenario.  However, by my count, only 8 of the 31 models (26%) have a TCR of less than 1.6K, so this matches up decently with expectations based on TCR (although the picture isn’t quite that pretty, as 2 have TCRs of 1.6K).  Nonetheless, I would suggest that if the true TCR is less than 1.6K, the RCP4.5 scenario is unlikely to produce a warming of more than 2°C by the end of this century (relative to pre-industrial). 

Thus, our question comes down to this – given the best possible evidence, what is the probability that TCR is < 1.6K?  I would suggest it is "more likely than not".  First of all, it appears that the bulk of the AR5 estimates that include a pdf show a most likely value <= 1.6K.  This is despite the fact that (I believe) only Otto et al. include the lesser impact of aerosols assessed in AR5 in their estimate, which would further reduce the estimated likely values for TCR.  Second, it is generally accepted now that the multi-model mean, with its 1.8K TCR, is running on the warm side.  Either way, given the discrepancy between most-likely values in the various estimates, I would downgrade the confidence.

My rewrite of the SPM for this part: "Relative to the average from year 1850 to 1900, global surface temperature change by the end of the 21st century will more likely than not stay below 2°C for RCP4.5 (medium confidence)."    

4. On the “Likely” / “High Confidence” RCP6.0 Statement

Things start out a bit confusing for the "likely"  greater than  2°C statement for RCP6.0, per the following comment under the chapter 12 executive summary notes:

Under the assumptions of the concentration-driven RCPs, global-mean surface  temperatures for 2081–2100, relative to 1986–2005 will likely
be in the 5–95% range of the CMIP5 models

(My italics)  I say that this is somewhat confusing because a 5%-95% range – according to the chapter  – is associated with "very likely", and not simply "likely".  However, we must distinguish between the range of model outcomes and that of real world possibilities, which the authors appear to do as well.  Given that the assessed "likely" range of TCR is approximately as wide as the 5%-95% TCR range of the CMIP5 models, it is clear that some sort of probabilistic downgrade is required (that is, using only 1 standard deviation of CMIP5 model TCR does not properly capture the whole "likely "range of real-world TCRs).  So the authors assess that the "very likely" range of CMIP5 models is only expected to capture the "likely" range of real-world possibilities (Sect again):

The likely ranges for 2046–2065 do not take into account the possible influence of factors that lead to near-term (2016–2035) projections of GMST that are somewhat cooler than the 5–95% model ranges (see Section 11.3.6), because the influence of these factors on longer term projections cannot be quantified. A few recent studies indicate that some of the models with the strongest transient climate response might overestimate the near term warming (Otto et al., 2013; Stott et al., 2013) (see Sections 10.8.1,, but there is little evidence of whether and how much that affects the long term warming response. One perturbed physics ensemble 
combined with observations indicates warming that exceeds the AR4 at the top end but used a relatively short time period of warming (50 years) to constrain the models’ projections (Rowlands et al., 2012) (see Sections and Global-mean surface temperatures for 2081–2100 (relative to 1986–
2005) for the CO2 concentration driven RCPs is therefore assessed to likely fall in the range 0.3°C–1.7°C (RCP2.6), 1.1°C–2.6°C (RCP4.5), 1.4°C–3.1°C (RCP6.0), and 2.6°C–4.8°C (RCP8.5) estimated from CMIP5

My bold.   (Note that the chapter indicates 0.6°C as the difference between pre-industrial and 1986-2005, so the RCP6.0 range is 2.0°C–3.7°C above pre-industrial, as confirmed in table 12.3). 
So, what are the problems here?

First, this seems awfully casual about the divergence between model projections and observed temperatures.  I understand that it may be unclear about how this relates to long-term projections (although several recent observational studies find a lower ECS than most model CMIP5 ECS’s as well), but this should not then translate into "high confidence" in the CMIP5 projections, particularly the lower end of that range.

Second, the assessed "likely" TCR range includes TCR values that would probably keep the RCP6.0 scenario below 2.0°C by the end of the century.  Note that the floor of the RCP6.0 range for CMIP5 is exactly 2.0°C above pre-industrial, which is presumably why the executive summary was able to say warming will "likely" be above 2.0°C for that scenario, but just barely.  Again, the confidence is "based on the fact that the 5–95%  range of CMIP5 models’ TCR coincides with the assessed likely range of the TCR".  But the ranges don’t match exactly, per Box 12.2 again:     

This assessment concludes with high confidence that the transient climate response (TCR) is likely in the range 1°C–2.5°C, close to the estimated 5–95% range of CMIP5 (1.2°C–2.4°C, see Table 9.5).

So the lower end of the "likely" range of TCR is 1.0°C (all evidence) rather than 1.2°C (CMIP5 only).  This would be a rather trivial difference, except that the lower floor for projected "likely" range using CMIP5 for RCP6.0 is exactly 2.0°C, so that lowering this 5% range to reflect all evidence – even if only from 1.2°C to 1.0°C – means probably lowering that projected warming above pre-industrial floor to around 1.7°C (1.0/1.2 * 2.0).  In other words, the "likely" range actually includes values below 2.0°C, and it would be difficult to say that that rise for RCP6.0 is "likely" to be above 2.0°C.***

Moreover, as you can see from my simple two-layer model tests below, a TCR <= 1.4K would mean we would probably see less than 2.0°C in this scenario:


Obviously, there is not much to suggest that the possibility of a TCR <= 1.4K is "unlikely", particularly when examining Box 12.2, Figure 2.  What’s more, the Otto et al. estimates, which are (I think) the only ones listed to use the AR5 aerosol estimates, indicate the "most likely" value is in this range!  So we are left in the rather awkward position that one of the more high-profile studies, using the most up-to-date data, suggests a "most likely" value for TCR that implies less than 2.0°C warming by the end of the century for RCP6.0, but the executive summary says that there is "high confidence" that greater than 2.0°C warming is "likely".

Third and finally, note that the "likely" ECS range in AR5 includes 1.5 K (Box 12.2, fig 1).  Now consider that the "effective forcing" for the RCP6.0 scenario above pre-industrial is 4.8 W/m^2.  This means, that at an ECS of 1.5K, you would only have 1.9°C of warming (4.8/3.7 * 1.5) at equilibrium (which can take several centuries to reach), regardless of the TCR.  Given the time delay to reach that equilibrium, it is probable that any ECS below 2K is unlikely to produce more than 2°C of warming by the end of the century in the RCP6.0 scenario.  Thus, the "likely" statement for more than 2°C in RCP6.0 is again questionable, even if based solely on the AR5 likely range of ECS estimates.

One more thing I want to address is the fact that in table 12.3, 100% of the RCP6.0 model runs produce a temperature rise greater than 2°C, despite 5 of the CMIP5 models having a TCR <= 1.4K.  From what I can tell, FGOALS-g2 (1.4K TCR) and INM-CM4 (1.3K TCR) didn’t participate in the RCP6.0 runs.  For the other three models (GFDL-ESM2G, GFDL-ESM2M, and NormESM1-M), I would have expected (based on their TCRs alone) to see less than 2°C of warming, and can only offer a few possible explanations: a) The ECS values of 2.4, 2.4, and 2.8 for these models are high relative to what one might expect for their low TCR values (failing to touch the lower end of the assessed "likely" range for ECS), and despite the greater importance of TCR, the higher ECS in this case might have pushed them just over the 2C mark, and/or b) these models may have produced an "effective forcing" for the RCP6.0 scenario greater than the 4.8 W/m^2 from the model ensemble.       

My rewrite of the SPM for this part: "Relative to the average from year 1850 to 1900, global surface temperature change by the end of the 21st century are as likely as not to exceed 2°C for RCP6.0 (low confidence)."    

***Note I say "difficult" rather than "impossible", because if the "likely" range include the middle 67% (approximately +/- 1 standard deviation), then excluding a low value from this likely range actually suggests about an 84% probability of it being greater than this value, not simply the 67% required to get to "likely".  However, more discussion / justification would certainly be required about performing a one-tailed test to deem a value "unlikely". 

5. Discussion

While I disagree with these particular statements in the SPM regarding the current best evidence, I find it hard to fault the authors, as I think much of the problem results from the IPCC process.  Essentially, with the projections based almost entirely on the CMIP5 models, and the IPCC unable to present any “novel” science that doesn’t appear published elsewhere (and hence produce new projections), it is hard to incorporate various other estimates of TCR and ECS into these projections.  Moreover, one is forced to consider most (or all) studies regardless of quality and even if using outdated data.  In fact, I think the authors made a wise decision to avoid using the 5%-95% range from CMIP5 as “very likely”, instead downgrading it as “likely” to reflect the spread of estimated TCRs and ECSs.  Unfortunately, this still has implications on the edges (as with the RCP 6.0 lower boundary of 2°C instead of 1.7°C) and center (trying to figure out a “most likely” value for RCP4.5).  Moreover, we have a rather awkward situations where “likely” values of TCR and ECS imply less than 2°C warming for RCP6.0, but we the SPM says that there is “high confidence” in a “likely” diagnosis for more than 2°C warming under RCP6.0.

Overall, I do not envy the job of the IPCC authors, and tend to agree that producing these massive reports for free is probably not the best use of anyone’s time.  It might be better to just create a “living” document such as a wiki, as others have suggested, although I can only imagine the struggles one would come up with in determining the rules for that.

6. Summary

In my opinion, the IPCC summary for policymaker’s overstates both the probability and the confidence in hitting the 2°C target by the end of the century for the RCP4.5 and RCP6.0 scenarios.  This is because:

  • The statements about the probability were based primarily upon CMIP5 projections
  • Confidence in these long-term projections was primarily justified by the 5%-95% range of CMIP5 transient climate responses (TCRs) matching up with the assessed likely range of TCRs from a variety of other sources, yet
  • Where the real-world transient responses began to diverge from models, this was not determined to decrease confidence in the long-term range of projections, and
  • Confidence in the 5%-95% range of CMIP5 TCRs was deemed to imply confidence in the “most likely” (50%) CMIP5 projections for RCP4.5, despite the AR5 “all-evidence” assessed TCR having a largely different distribution than that of the CMIP5 TCRs.
  • Despite the fact that several assessed “likely” values for TCR imply less than 2°C warming for RCP6.0, it was still determined that there was “high confidence” that greater than 2°C warming was “likely” for RCP6.0
  • Despite the fact that several assessed “likely” values for equilibrium sensitivity (ECS) imply less than 2°C warming for RCP6.0, it was still determined that there was “high confidence” that greater than 2°C warming was “likely” for RCP6.0


  1. Hi Troy,

    I found very similar results.

    You are a lot more forgiving of the IPCC authors than I am.

    Essentially, with the projections based almost entirely on the CMIP5 models, and the IPCC unable to present any “novel” science that doesn’t appear published elsewhere (and hence produce new projections), it is hard to incorporate various other estimates of TCR and ECS into these projections. Moreover, one is forced to consider most (or all) studies regardless of quality and even if using outdated data.

    You seem to be arguing that the IPCC is obliged to accept the CMIP5 models. Moreover, they have to accept all of them irrespective of the degree of divergence of any single model from observational data!

    This may indeed be true in terms of realpolitik but it makes a nonsense of scientific objectivity, and it does not form part of the IPCC (written) rules. I would note that, historically, the IPCC reports have quite happily dismissed numerous studies with one-line justifications or has simply failed to mention them at all because those studies have not meshed with the main storyline. I can see nothing in the rules which prevents them from arguing intelligently that something published may not be usable because it is self-evidently unreliable or wrong. In any case, the rules for the production of the IPCC report have actually been shown to be very malleable, especially when the bending of those rules helped movement in the politically correct direction.

    In an objective assessment of the science, they could and should have legitimately declared that none of the CMIP5 projections could be considered sufficiently reliable at the present time to inform policy. They could then have used instead the available observation-based papers to give some indication of the likelihood of future temperature gain. This would have given a very different picture to policymakers, and would then quite genuinely have been the best science available.

    The alternative, which is what we now have, was to (a) paper over the CMIP5 model problems with very poor quality wallpaper, (the production of which required the introduction of novel science by the IPCC authors) (b) produce a report still founded on models which are significantly at odds with observable reality and (c) declare an increase in confidence in a far more uncertain future. Irrespective of the rules for production of the report and the rigour with which they have been applied, I would be thoroughly ashamed as a scientist to be associated with the production of these likelihood statements, knowing KNOWING that they are demonstrably crap. This is quite simply a corruption of science.

    Comment by Paul_K — November 10, 2013 @ 7:08 am

    • Thanks Paul. I agree that if I were giving projections to inform policy for a global temperature change at this time, I would probably use some simpler models with which I could more easily specify realistic values of TCR, effective sensitivity, and ocean heat uptake, to give an indication of the expected temperature change. However, such an approach would not work for regional projections, impacts, etc, which again rely largely on CMIP5 projections. I don’t think that “bad projections are better than no projections”, but I can see how one may be tempted to say, “well, the projections aren’t perfect, but they cover most of the likely range of TCR, so perhaps if we just downgraded from ‘very likely’ to ‘likely’ we’d still be mostly capturing the lower end” instead of upsetting the whole report, particularly when there are still quite a few fig leaves out there to cover the CMIP5 / observation discrepancies as well (forcing differences, ocean heat uptake efficiency, etc). Not the best science in my opinion, but then again I don’t work in a field where “upsetting the IPCC applecart” would have negative consequences on my career…

      Comment by troyca — November 11, 2013 @ 3:06 pm

      • Hi again, Troy,
        The fig-leaf looks to me like a desiccated blade of grass. I am working on a post for Lucia at the moment. With conventional assumptions, simultaneous matching of ocean heat content and temperature data gives me a modal value of TCR of 1.34 – using Levitus 0-2000 ocean and the Otto et al forcing data. This result seems entirely compatible with a number of published studies based on energy budget. Forecast temperature gain from the unadjusted RCP4.5 forcings works out to be about 1.7-1.8 deg K relative to 1850-1900. This looks very similar to your results.
        However, I don’t think the story ends there. It is easily shown that the “fit” of this model over the instrumental period leaves residuals which reflect the multidecadal oscillations observable in the temperature dataset. The forcing data does not contain these multidecadal frequencies, and hence cannot explain this variation, yet the late 20th century heating is all attributed to the known forcings. The variation can only be explained as (some combination of) a regular areal heat redistribution (unlikely), or an unaccounted-for oscillatory heat flux (quite possible) or an unaccounted-for oscillatory radiative flux in the SW. Some component of the latter is looking increasingly likely to me given the independent evidence from satellite measurements plus data on tropical cloud formation. The main point, though, is that if this heat flux or radiative flux is correctly accounted for as an additional oscillatory forcing, the estimate of sensitivity is reduced. This makes it even less likely that you can get above a 2 deg K change for RCP 4.5.

        Comment by Paul_K — November 15, 2013 @ 3:21 am

      • Interesting Paul, I look forward to reading your post at Lucia’s.

        Comment by troyca — November 17, 2013 @ 10:23 am

    • in 2100 the temp will be same as today, because CO2 has nothing to do with the temperature, which is regulated by oxygen&nitrogen expanding when warmed extra / shrink when cooled extra, CO2 not guilty:

      Comment by stefanthedenier — November 12, 2013 @ 6:31 pm

  2. Troy, I was wondering if perhaps you could help me out with a bit of a problem I’m having. I am trying to get a simple timeseries of daily CERES radiation fluxes and I tried ordering data from the link you suggested a while back but as it turns out, I don’t know what the heck to do with .nc files at all.

    Comment by Andrew — December 16, 2013 @ 7:29 pm

    • Hi Andrew, the NC files are netCDF files. It is an open file format and most languages have a pre-built package for reading it. For instance, in R I use “ncdf”:

      ceres.ts<-ts(get.var.ncdf(, 'gtoa_net_all_mon'), start=c(2000,3), freq=12)

      The examples above show how to open an NC file and read the variable "gtoa_net_all_mon" and put it into a timeseries. But there are packages for Python, Java, etc. as well. The tricky thing you may encounter with the daily data (if I recall), is that I don't know if they provide a global average (at least they don't for SSF1 degree)? You may have to take the 1×1 grid and do a weighted global average yourself.

      Comment by troyca — December 17, 2013 @ 6:56 am

      • Thanks Troy. I thought I *was* ordering a global average, but I guess I could be wrong, I’ll find out soon I guess!

        Comment by Andrew — December 17, 2013 @ 8:02 am

  3. Very interesting. In the latest version of the SPM (, it appears the statement about RCP4.5 “more likely than not” exceeding 2C has been removed:

    By the end of the century (2081–2100), global mean surface warming,
    relative to preindustrial, is likely to exceed 1.5°C for RCP4.5, RCP6.0 and RCP8.5 (high confidence) and is
    likely to exceed 2°C for RCP6.0 and RCP8.5 (high confidence). Global mean surface warming above 2°C
    under RCP2.6 is unlikely (medium confidence). Global mean surface warming above 4°C by 2081–2100 is
    unlikely in all RCPs (high confidence) except for RCP8.5 where it is as likely as not (medium confidence).
    All targets here are defined as global average surface temperature change relative to preindustrial. {11.3.6,
    12.4.1; Table 12.3}

    Comment by troyca — January 6, 2014 @ 8:20 pm

    • Upon closer inspection, and as Pekka pointed out at Climate Etc., that link was to the technical summary, not the summary for policy maker’s. The link to the latest version of the SPM is here:, where the “more likely than not” exceeding 2C IS still present for RCP4.5, despite almost identical language omitting this statement in the technical summary and the summary of chapter 12. Very odd that this is included in the summary for policy maker’s with seemingly no support in the technical aspects of the report.

      Comment by troyca — January 7, 2014 @ 2:11 pm

      • That strikes me as a deliberate attempt to convey, rather than the best evidence, information to policy makers justifying policy.

        Which makes sense, in a kind of twisted way. Giving policymakers information justifying policy is what policymakers want.

        Basically if you want to understand why this would happen, it would make more sense to read James Buchanan than James Hansen.

        Comment by timetochooseagain — January 8, 2014 @ 7:36 pm

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