Extreme Events

in the Radiocarbon Record

Slides available at benjaminpope.github.io/talks/ansto/ansto.html

Miyake Events

Miyake Figure

774-775 AD

Miyake Figure

Miyake et al, 2012

Anglo-Saxon Chronicle: 774 AD

“This year also appeared in the heavens a red crucifix, after sunset; the Mercians and the men of Kent fought at Otford; and wonderful serpents were seen in the land of the South-Saxons.”

Allen, 2012

Also in 993-994 AD

Miyake Figure

Miyake et al, 2013

Comparison

Miyake Figure

Miyake et al, 2013

Four more now known: 660 BC, 5259 BC, 5410 BC, 7176 BC

Ancient Egypt

Uncertain chronology

Dee Figure

Dee et al., 2013

Solved by Miyake events?

Dee Figure

Dee et al., 2016A

Vikings in North America!

Leif Eriksson, 'Leif the Lucky' from Iceland, landed in Vínland far to the West around 1000 AD.

Was this North America? Ruins at L'Anse aux Meadows in Newfoundland consistent with this!

NYT Headline

Dated to 1021 CE by tree rings containing the 993 event!

Kuitems et al, 2021

So what is the physics?

Supernovae?

No!

Dee Figure

Dee, Pope et al., 2016a

Magnetars?

Wang et al, 2019

Connection to fast radio bursts?

magnetar burst bochenek

Bochenek et al, 2020

The Sun

Carrington Event

Aurora

F.E. Church, "Aurora Borealis", 1865.

Superflares in Kepler

Maehara Figure

Maehara et al., 2012

Superflares vs. the Sun

Shibata Figure

Shibata et al., 2013

Cause still unknown!

Open-Source Software

To model these time series, you have to model the entire global carbon cycle!

carbon cycle diagram

Archaeologists adapt carbon 'box models' from geoscience/climate models, with systems of transport equations between carbon reservoirs

eg this model from Güttler et al, 2015

guttler model diagram

The problem is, none of the work in the field is reproducible! All these carbon box models are closed-source.

But we want to do astrophysics - infer event amplitudes, durations...

Working with Utkarsh Sharma, Qingyuan Zhang & Jordan Dennis

Built open-source Python package

sharmallama.github.io/ticktack

Features:

  • Literature carbon box models
  • Built on Google Jax for autodiff + speed
  • Multiple, fast (~10ms) numerical and analytic ODE solvers
  • Nonparametric inverse solvers, using GPs or an exact ODE inverse
  • MCMC and Nested Sampling support for Bayesian parameter inference

Students are leading a paper in prep applying this to all known Miyake events!

Example Posterior Draws

posterior samples

Example Posterior Distribution

corner plot

Uusitalo et al, 2018 claim trend with latitude

corner plot

With more data we find no trend

corner plot

Amplitude of the events - equivalent years

corner plot

Relation to the solar cycle

corner plot

And using a less precise method...

corner plot

The Future

Upcoming projects...

Robust, reproducible data analysis for archaeology!
Infer parameters of the global carbon cycle using events as a "bomb curve" probe, rather than the reverse?
What is the true occurrence rate and amplitude distribution?

Injection-recovery tests!

Extend to stable isotope modelling: carbon-13 is treated differently by biological processes, and tells archaeologists about ecosystems & geology.
Contribute to ticktack!

Questions!