1) Do you expect to see and accurately measure temperature dynamics in the Marcott study that have features SHORTER than 500 years in duration?
2) If NOT --- how would you EVER discuss rates of change or RELATIVE HIGH temperatures being higher NOW in a 100 year period compared to the data processing result in the Marcott Hockey Stick?
1) Nope.
2) Show me a natural forcing that is global in scope, goes on for a few decades, or a century, produces a global temperature increase of almost 1°C, then completely reverses itself, and passes without leaving a single trace in multiple temperature proxies, and neither anything in sediments etc., and you've obliterated the term "unprecedented" in the hokeystick debate. Go.
Well good on 1) because NOBODY will know if current peaks and rates of rise in OUR lifetimes are "extraodinary" from looking at GLOBAL proxy studies. In FACT -- you have to drop the ruse of PRETENDING to do GLOBAL studies to get ANY accurate clues as to past climate variance.
And you CAN DO THAT by using High Resolution studies of CO2 and temperature at specific LOCAL sites to do just that. They show A LOT of natural variance during our latest "interglacial" period. I can show you the difference.
As for 2) --- neither I or science in general are required to SPECULATE as to exact mathematically backed conclusions to ANY mystery.. HOWEVER -- we've only had tools accurate enough and well-placed enough (like in space) to study short term trends in climate variability.. That USUALLY leads to discontinuity in what we THOUGHT we knew and over-REPORTING of concerns. This happened when we fielded 1000 NextRad doppler radar systems in "tornadic activity" reports for instance.. Or new higher estimates for hurricane statistics since science was given the great satellite toys a mere 30 or so years ago...
So to answer your question ---
1) We KNOW that the Earth climate is TOO complex to have a linear correlated response to a SINGLE nearly linear variable (like CO2) that tracks EXACTLY with time. The thermal distribution paths and time to equilibriums are TOO COMPLEX to do that. You can see that from basic systems analysis. ANY system with massive storage (like heat in the oceans) will have a VARIETY of time constants associated with responses to forcings. These include BOTH GHouse gas forcings, ocean current forcings, and most important of all -- solar forcings. The idea that you can blame ANY of these SOLELY on what happened last Tuesday or the last decade-- is dog shit braindead non-science.. See works from Max Planck or Wood Hole or Judith Curry's group for BETTER science on this.
2) We KNOW that any number of NATURAL CYCLICAL forcings can have a major effect on short term (less than a century) surface temperatures. El Nino demonstrates that regularly. But it is only ONE of dozens of known such events. In mathematics when you combine multiple periodic component (ala Fourier analysis) you can show ANY NUMBER of RESULTANT system output shapes from the addition of these components as they vary with frequency and relative phase to each other.
3) We KNOW that CO2 and Methane DOES have an effect on GH gas forcing in thermal equilibrium. The basic physics and chemistry of this effect yields about a 1.1 DegC per DOUBLING of CO2. At the rate we're going -- this BASIC estimate (without postulated feedbacks and accelerations that are the CONTENTIOUS part of GW theory) would NEVER be an issue. So even I accept that maybe 1/2 or less of the observed warming COULD BE due to increased emissions. It could also because we have the dependence backwards. Because increased temperatures (even without release of addition GH components from calthrates) will lead to higher CO2 concentrations. I don't however buy the add-on GW postulates concerning runaway accelerations, trigger temperatures or dominance of positive feedbacks.
I'm not doing MORE work on your question until I determine that you're here to DISCUSS and not just ***** and protest....