The data I used came from USNO/IERS, and were reduced using standard formulas 
from the IERS Conventions.

But I have published an LOD plot of Stephenson's data, going back to  ~1770, 
with Allan deviations, here:  
https://www.gps.gov/cgsic/meetings/2014/matsakis.pdf 
<https://www.gps.gov/cgsic/meetings/2014/matsakis.pdf>.  It shows a speed up of 
comparable magnitude (but less width) at around 1870 followed by a larger slow 
down around 1900.   The speed-up after that slowdown is roughly comparable to 
what we are seeing now. 

Sorry, but I have not tapped into a mother-load of modern studies, although 
people are always Fourier-transforming these things.   I am impressed by recent 
reports of seismic data indicating large blobs at the core-mantle boundary.   
All my life I’ve heard motions down there are the possible cause of these 
fluctuations. I can’t tell you how the numbers work out, but see this:

"As part of the EGU General Assembly 2021 (https://www.egu2021.eu/ 
<https://www.egu2021.eu/>) that
will be held virtually from 19 to 30 April 2021, we like to draw your
attention to session G3.1: Earth Rotation: Theoretical aspects,
observation of temporal variations and physical interpretation
(https://meetingorganizer.copernicus.org/EGU21/session/39900 
<https://meetingorganizer.copernicus.org/EGU21/session/39900>). Below you
can find the detailed description."


> On Jan 12, 2021, at 9:01 PM, Seaman, Robert Lewis - (rseaman) 
> <rsea...@arizona.edu> wrote:
> 
> Are there citations, from F. R. Stephenson or otherwise, constraining whether 
> such dramatic short-term reversals are physically anticipated? If so, would 
> this then increase the likelihood of a subsequent period of (relatively) 
> rapid correction back to the general overall slowing trend? Which is to say 
> do we have a handle on the power spectrum of various terms (annual, decadal, 
> longer)? (Undoubtedly I’m expressing that naively, feel free to rephrase the 
> above questions.)
>  
> Rob
>  
> From: LEAPSECS <leapsecs-boun...@leapsecond.com 
> <mailto:leapsecs-boun...@leapsecond.com>> on behalf of Demetrios Matsakis via 
> LEAPSECS <leapsecs@leapsecond.com <mailto:leapsecs@leapsecond.com>>
> Reply-To: Leap Second Discussion List <leapsecs@leapsecond.com 
> <mailto:leapsecs@leapsecond.com>>
> Date: Tuesday, January 12, 2021 at 6:20 PM
> To: "leapsecs@leapsecond.com <mailto:leapsecs@leapsecond.com>" 
> <leapsecs@leapsecond.com <mailto:leapsecs@leapsecond.com>>
> Cc: Demetrios Matsakis <dnmyia...@yahoo.com <mailto:dnmyia...@yahoo.com>>
> Subject: [EXT][LEAPSECS] Five years to go?
> 
> I attach a plot of my extrapolations, which take into account known periodic 
> oscillations to predict that if the Earth continues to rotate as the same 
> rate it has for the last 100 days, a negative leap second will be “needed" in 
> five years.
> 
> The word file shows what the attached plot is based on. 
> <image001.jpg>
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