Another core that comes with rbacon is RLGH31. This core has a lower
dating density than MSB2K and has a section where there appear to be
outlying dates (or in other words, some of the dates don’t seem to agree
with other nearby dates). Since initial checks indicate a slower
accumulation rate (or rather, sedimentation time) than rbacon’s default
of 20 yr/cm, rbacon will ask if the prior should be changed to 50 yr/cm.
For now, respond with
Enter, so that the
default, non-adapted settings will be used.
Note that with the default settings, the age-model bypasses some of
the younger dates between 130 and 60 cm core depth, since the older
dates within that core section seem to fit better with the model and the
dates further downcore and higher up the core. On top of this, the model
bypasses the bottom date, because if the age-model were to go through
this date, it would require large-scale changes in sedimentation times
which seem to be prohibited by the default settings for the prior
information. So let’s run the model again, this time accepting the
suggested value of 50 yr/cm for the accumulation rate
y and press
With the adapted prior for the accumulation rate, now the lowermost date is taken into account. Now, what if someone you trusted told you that they had some very strong information from other nearby lakes that sedimentation times are very likely to be 50 yr/cm? Then we can set the prior to be much more restrictive/stronger than the default - we let the green curve peak higher so that the accumulation rates are ‘forced’ to values around 50 yr/cm:
Bacon did what it was told to do. The posterior accumulation rates
fit very well with the prior’s mean of 50 yr/cm. The age-depth model
itself however is very straight and isn’t very realistic, and most of
the dates don’t fit with the model. Note also the top-left panel which
shows the MCMC run; the first thousand or so iterations are still
sub-optimal and should really be removed using the
function. In all, not a good age-depth model, and it’s probably a good
idea to talk to your expert again, or find another one with more
realistic prior information.
When comparing the prior (green) and posterior (grey) distributions of the accumulation rate and the memory, it can be helpful to consider that the Bayesian approach aims to combine prior information with new data in order to ‘learn’ about the process, in other words to update its information about the parameters involved. The default priors were chosen to be sufficiently broad to allow the data to inform us about the accumulation rate and its variability.
Besides the prior for accumulation rates, the other prior is that of the memory, and this defines how much accumulation rate can change from one core depth to another. To take an example, in the previous run the memory (rightmost top panel) is all the way at 1 or 100%. In other words, the accumulation rate at one depth is highly correlated with those at neighbouring depths, i.e. it’s a nearly straight line. If you have a site where you have information about how constant the accumulation rate must have been (e.g., a riverine site could have had very episodical and varying accumulation), this can thus be included using the memory prior.
If your site has hiatuses (gaps in accumulation), these can be set by providing their depths. By default, the maximum length of hiatuses is 10,000 years, but this can be adapted, for example:
If your core had episodes of instantaneous sedimentation (e.g., visible tephra layers), they can be modelled too:
The model underlying Bacon is made up of piece-wise linear sections,
and for each section the accumulation rate is modelled as constrained by
the priors for accumulation rate and memory. The sections, are 5 cm
thick by default (
thick=5). However, for very short cores
this would result in a very elbowy model. For very long cores, the
default section thickness could result in too many parameters and the
model losing itself. Therefore, for very short or long cores, different
values for will be suggested for
Sometimes for difficult cores it can be a good idea to first run it with fewer, thicker sections in order to find useful combinations of priors and settings, and then running it again with more, thinner sections to obtain an age-depth model that looks ‘smooth enough’. Each time, also check that the MCMC run looks fine and stable, and please check and show all panels of the age-model plot.
To see all options and settings, ask for help:
and to see all options and settings for the age-model plot, type:
Jones, V.J., Stevenson, A.C., Battarbee, R.W., 1989. Acidification of lakes in Galloway, south west Scotland - a diatom and pollen study of the post-glacial history of the Round Loch of Glenhead. Journal of Ecology 77, 1-23↩︎