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h1.
Baye
si
a
n
uncertainty analysis
h1.
N2O emis
si
o
n
from nitrification
{{
>
toc}}
# Math markup
h2. Description
Here is some math markup: $
`a^2 + b^2 = c^2`
$
$x^{yield}_{t}$
Or more complicated:
$
`\sum_{i=1}^n i^3 = \left( \frac{n(n+1)}{2} \right)^2`
$
Parameter determination for processes in LPJmL is mostly achieved by
literature values. In case, data are available, the estimation of
uncertainties and evaluation of current parameterization is possible by
Bayesian analysis. Here, we give an example how to use data for a better
grass parametrization.
It's based on $
`\KaTeX`
$
h2. Details
# GitLab-specific markup
I can refer to a specific commit, just by pasting the hash here: b3ede2e52b64026c68d90519d93b3bce58f4c46d
a more detailed description of it (data sources, data preparation,
meaning, usage...). Refer to references if you have any using
footnotes
\[
1
\]
Or here: 80fbf7b1627d45d8d857481585d23430fb9b354b
h2. Technical Note
I can refer to an issue, starting with the $
`#`
$: #2
What you need are
\*
data
\*
the R package FME
\[
1
\]
Here is another wiki page about
[
Something Else
](
something-else
)
Following the procedure there, you can
\*
define a cost function that
gives the deviation of the model output from the observations
\*
determine the local sensitivity to a large set of parameters
\*
evaluate
the most prominent parameters that should be included in the Monte Carlo
simulations by determining the collinearity
\*
fit the model to the data
using the chosen subset of parameters
\*
perform the Markov chain
Monte-Carlo simulations
\*
evaluate the uncertainty of the model output
due to the parameter values accepted in the Monte Carlo chain.
# Another heading
-
[ ] a task
-
[x] a completed task
h2. Developer(s)
========================================
Susanne Rolinski, Anja Rammig, Werner von Bloh
# h1
h2. See Also
# N2O emission from nitrification
\[\[
Upscaling
\]\]
,
\[\[
Downscaling
\]\]
,
\[\[
Wiki
\]\]
,
\[\[
Mathematical
Description
\]\]
,
\[\[
Missing wiki page
\]\]
"Parton et al. 1996":http://onlinelibrary.wiley.com/doi/10.1029/96GB01455/abstract gives function
Links to other Wiki pages, that are related. It doesn't matter if the
wiki page already exists or not. Also link pages that do not exist yet!
Links to existing pages are written blue, links to non-existing pages
are writtn in red.
$
`N_{N2O} = N_{H2O} \cdot N_{pH} \cdot N_T \cdot (Kmx + Nmx \cdot N_{NH4})`
$
h2. References
with
$N_{N2O} = ((WFPS-b)/(a-b))^{d
\c
dot (b-a)/(a-c)}
\c
dot ((WFPS-c)/(a-c))^d$
*
$WFPS$ is water filled pore space of the soil
*
parameters $a$ to $d$ given for sandy and medium soil
*
source for functions given as Doran et al. 1988
fn1. K. Soetaert and T. Petzoldt (2010): Inverse Modelling, Sensitivity
and Monte Carlo Analysis in R Using Package FME. Journal of Statistical
Software, 33, 3, 1-28.
\ No newline at end of file
$N_{pH} = 0.56+1/
\p
i
\c
dot
\a
rctan(
\p
i
\c
dot 0.45
\c
dot(pH-5))$
*
we ignore this limitation
$N_T = -0.06+0.13
\c
dot
\e
xp(0.07
\c
dot T_{soil})$
*
based on data by Sabey et al. (1959)
$Kmx = 0.00038$ gN m$^{-2}$ d$^{-1}$
*
N turnover coefficient
*
site specific but given for different sites
*
for natural soils given as 3.8 and 3.9 (gN ha$^{-1}$ d$^{-1}$)
$Nmx = 0.003$ gN m$^{-2}$ d$^{-1}$
*
maximum nitrification flux of N$_2$O with excess NH$_4$.
$N_{NH4} = 1 -
\e
xp(-0.0105
\c
dot NH4)$
*
NH4 here given as $
\m
u$g N per g soil
*
in the same range as gN m$^{-2}$ so that formula taken as it is
Process is incorporated in source:branches/nitrogen_rev2142/src/soil/littersom.c after mineralization.
\ No newline at end of file