timproved wording - cosmo - front and backend for Markov-Chain Monte Carlo inversion of cosmogenic nuclide concentrations
git clone git://src.adamsgaard.dk/cosmo
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commit a53b33ee8911d15bcfd27b48dad8944d0fd86baa
parent 1d8bf4c603bb8c5c9084c8c7e3c82d0f6fe5a87d
Author: Anders Damsgaard 
Date:   Fri, 27 Nov 2015 16:46:59 +0100

improved wording

Diffstat:
  M pages/methods.html                  |      51 ++++++++++++++++---------------

1 file changed, 26 insertions(+), 25 deletions(-)
---
diff --git a/pages/methods.html b/pages/methods.html
t@@ -62,19 +62,18 @@
                     with uniform probability across the logarithmic parameter
                     interval. The temporal parameter (tdegla)
                     and climate record threshold value
-                    (δ18Othreshold) is tested with
+                    (δ18Othreshold) are tested with
                     uniform probability across the linear parameter interval.
-                    The user specifies the bounds of the model parameters.
                     

When model parameters (εint, εgla, tdegla, δ18Othreshold) are varied within - specified limits, they can be thought of as orthogonal axes - creating a coordinate system in higher-order space. Every - position in this model space is associated with a certain - set of model parameter values. + specified limits, they can be thought of as being orthogonal + axes spanning a coordinate system in four-dimensional space. + Each position in this model space is associated with a + unique set of model parameter values.

Given a single value of model parameters t@@ -86,7 +85,7 @@ computed. This forward model describes a possible history of exhumation and TCN production in a sample volume as it experiences the variable physical environment of the - Pleistocene.

+ Quaternary.

t@@ -105,7 +104,9 @@ require more than 10 m of ice thickness for production due to spallation (>50 m for muons). Interglacial periods are assumed to have been characterized by 100% exposure and zero - shielding.

+ shielding. The production of TCNs takes place during the + interglacials, while erosion removes the land surface at + different rates during the glacials and interglacials.

t@@ -121,8 +122,8 @@ evaluates if the output result matches the observational record better or worse than the output at its previous position in model space. If the new results better matches - the observed dataset, it continues walking along - approximately in the same direction in model space. + the observed dataset, it continues walking in the same + direction in model space.

t@@ -142,19 +143,19 @@

For a given observational data set more than one set of model parameters may produce forward models which - sufficiently satisfy the MCMC walker as solution - approximations. In this case the solution is - non-unique. Even worse, a single MCMC walker may find - an area in model space which seemingly is in good - correspondence with the observational data set, but is - missing a much better set of model parameters since they are - located somewhere entirely different in the model space. In - order to mitigate these issues, MCMC inversions are often - performed using several MCMC walkers. The starting point of - each MCMC walker is chosen at random, resulting in unique - walks through the model space. If a single walker is caught - in an area of non-ideal solutions, chances are that the - other walkers will find the area of better model parameters. + sufficiently satisfy the MCMC walker. + In this case the solution is non-unique. Even worse, + a single MCMC walker may find an area in model space which + seemingly is in good correspondence with the observational + data set, but the walker is missing a much better set of + model parameters since they are located somewhere entirely + different in the model space. In order to mitigate these + issues, MCMC inversions are often performed using several + MCMC walkers. The starting point of each MCMC walker is + chosen at random, resulting in unique walks through the + model space. If a single walker is caught in an area of + non-ideal solutions, chances are that the other walkers will + find the area of better model parameters.

t@@ -162,8 +163,8 @@ walkers. When casually trying out the calculator we recommend using low numbers of MCMC walkers (1 to 2) in order to obtain fast results and reduce load on the server. - When attempting to produce high-quality reliable results, - the number of walkers should be increased (3 to 4). + When attempting to produce high-quality and reliable + results, the number of walkers should be increased (3 to 4).