Regional Dynamical Downscaling of Mediterranean Climate – Climate Change Perspectives Heiko Paeth, Institute of Geography, University of Würzburg, I. Introduction II.Dynamical downscaling III.Extreme value statistics IV.Simulated extreme events V. Simulated changes VI.Postprocessing of model data VII.Conclusions MedCLIVAR Workshop 2007, La Londe les Maures
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Regional Dynamical Downscaling of Mediterranean Climate – Climate Change Perspectives Heiko Paeth, Institute of Geography, University of Würzburg, I.Introduction.
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Heiko Paeth, Institute of Geography, University of Würzburg,
I. Introduction
II. Dynamical downscaling
III. Extreme value statistics
IV. Simulated extreme events
V. Simulated changes
VI. Postprocessing of model data
VII. Conclusions
MedCLIVAR Workshop 2007, La Londe les Maures
I. Introduction
industrialemissions
trafficemissions
biomassburning
over-grazing
heat stress
flood
wind extremes
drought
I. Introduction
How can we infer future changes in the frequency and intensity
of extreme events?
dynamical aspect (climate modelling) statististical aspect (assessment of uncertainty)
II. Dynamical downscaling
low latitudes are dominated by convective rain events the spatial heterogeneity of individual rain events is high regional rainfall estimates are subject to large sampling errors
station data global model regional model statist. interpol.
II. Dynamical downscalingd
ay
-to
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y v
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ab
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a
nn
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ipit
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on
station data are often too sparse to represent regional rainfall global models are too coarse-grid for regional details statistically interpolated data sets fail in mountainous areas dynamic nonlinear regional models account for the effect of orography
II. Dynamical downscaling
the rainfall trends predicted by the global model are barely relevant to political plannings and measures the rainfall trends predicted by the regional model are much more detailed and of higher amplitude more detailed fingerprint or spatial noise added value ???
3 x CO2
II. Dynamical downscaling
consideration of various ensemble members enables the statistical quantification of the human impact on climate in the climate model
The main features of Mediterranean climate are well reproduced by REMO.
III. Extreme value statistics
The processes, which cause climate extremes, are not necessarily the same as for weak climate variations.
Hence, they usually do not obey a normally distributed random process.
f
climate parameter
III. Extreme value statistics
The Generalized Pareto Distribution (GPD) is a useful statistical distribution, since it is a parent distribution for other extreme value distributions (Gumbel, Exponential, Pareto).
The quantile function x(F) is given by:
= location parameter (expectation)
= scale parameter (dispersion)
= shape parameter (skewness)
The parameters of the GPD can be estimated by the method of L-moments.
Estimation of T-year return values (RVs):
k
F)(æx(F)
k−−+=
11α
k
αζ
kTRV
k
T ˆ
))1
1(1(1ˆˆ
ˆ−−−
+= αζ
dispersion parameter: threshold quantile
T = 5a
q = 99%
RV = 43mm
cumulative GPDs
III. Extreme value statistics
uncertainty of the RV estimate is inferred from bootstrap sampling:
1) from fitted GPD b random samples of size N generated
2) from random samples b indi- vidual RVs estimated
3) these b RVs are normal distri-buted such that STD is a mea-sure of the standard error of the RV estimate
4) signal-to-noise ratio is given by MEAN/STD over b RVs
f
cGPD
0
1
mmnew samples of size N
change in RV is significant at the 1% level, if 90% confidence inter-vals of two PDFs of RVs over b bootstrap samples do not overlap:
RV
Nrandom
numbers
STD
90% conf. interv.
f
RV
present-dayclimate
forcedclimate
III. Extreme value statistics
100-year RV in mm
The 100-year RV estimate ranges between 200 mm and 800 mm, depending on the random sample.
III. Extreme value statistics
probabilistic forecast of future rainfall changes provides a reasonable scientific basis for political plannings and measures
one predicted valuewithout uncertainty range:pretended precision
probabilistic forecastwith mean and uncertaintyrange:more objective basis fordecision makers
se
cu
rity
co
sts
single estimate / simulation
Monte Carlo approach
1%
10%
90%
99%
x=50%
s+=84%
s-=16%
2000
2000
2050
2050
RV
RV
IV. Simulated extreme events
The occurrence of extreme rain events is a function of the land-sea contrast, orography, geographical latitude and seasonal cycle.
1-year return values of heavy daily rainfall
IV. Simulated extreme events
1-year return values of high daily temperature
The occurrence of high temperature is also a function of the land-sea contrast, orography, geographical latitude and seasonal cycle.
IV. Simulated extreme events
The estimate of extrem values is more robust in regions and seasons with large-scale rather than convective precipitation. The choice of long return times in the pre-sence of short time series is unappropriate.
S/N ratio for 1-year RVs of heavy daily rainfall
sea
so
na
l me
an
se
xtre
me
s (1
y-R
V)
α = 5%
V. Simulated changes
PRECIPITATION
2025 minuspresent-day
α = 5%
ext
rem
es
(1y-
RV
)s
eas
on
al m
ea
ns
V. Simulated changes
TEMPERATURE
2025 minuspresent-day
VI. Postprocessing of model data
The assessment of changes in weather extremes is very sensitive to inhomogeneities in observational data. No problem with model data.
1840 1860 1880 1900 1920 1940 1960 1980 2000
da
ily
pre
cip
ita
tio
n
discontinuity
assessed variability
VI. Postprocessing of model data
precipitation is the end product of a complex causal chain each step imposes addititional uncertainty, particularly if it is based on a physical parameterization in the model