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Quark Matter 99 summary: hadronic signals
(1999)
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Reinhard Stock
- I review the new data presented at QM99. The main emphasis is placed on the CERN SPS hadron production systematics concluding that the boundary between a partonic and a hadronic phase has now been located at $T=180 \pm10\:MeV$ and $\epsilon \approx 1 \:GeV$ per $fm^3$.
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The parton to hadron phase transition observed in Pb+Pb collisions at 158 GeV per nucleon
(1999)
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Reinhard Stock
- Hadronic yields and yield ratios observed in Pb+Pb collisions at the SPS energy of 158 GeV per nucleon are known to resemble a thermal equilibrium population at T=180 +/- 10 MeV, also observed in elementary e+ + e- to hadron data at LEP. We argue that this is the universal consequence of the QCD parton to hadron phase transition populating the maximum entropy state. This state is shown to survive the hadronic rescattering and expansion phase, freezing in right after hadronization due to the very rapid longitudinal and transverse expansion that is inferred from Bose-Einstein pion correlation analysis of central Pb+Pb collisions.
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Simulation of global temperature variations and signal detection studies using neural networks
(1998)
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Andreas Walter
Michael Denhard
Christian-Dietrich Schönwiese
- The concept of neural network models (NNM) is a statistical strategy which can be used if a superposition of any forcing mechanisms leads to any effects and if a sufficient related observational data base is available. In comparison to multiple regression analysis (MRA), the main advantages are that NNM is an appropriate tool also in the case of non-linear cause-effect relations and that interactions of the forcing mechanisms are allowed. In comparison to more sophisticated methods like general circulation models (GCM), the main advantage is that details of the physical background like feedbacks can be unknown. Neural networks learn from observations which reflect feedbacks implicitly. The disadvantage, of course, is that the physical background is neglected. In addition, the results prove to be sensitively dependent from the network architecture like the number of hidden neurons or the initialisation of learning parameters. We used a supervised backpropagation network (BPN) with three neuron layers, an unsupervised Kohonen network (KHN) and a combination of both called counterpropagation network (CPN). These concepts are tested in respect to their ability to simulate the observed global as well as hemispheric mean surface air temperature annual variations 1874 - 1993 if parameter time series of the following forcing mechanisms are incorporated : equivalent CO2 concentrations, tropospheric sulfate aerosol concentrations (both anthropogenic), volcanism, solar activity, and ENSO (all natural). It arises that in this way up to 83% of the observed temperature variance can be explained, significantly more than by MRA. The implication of the North Atlantic Oscillation does not improve these results. On a global average, the greenhouse gas (GHG) signal so far is assessed to be 0.9 - 1.3 K (warming), the sulfate signal 0.2 - 0.4 K (cooling), results which are in close similarity to the GCM findings published in the recent IPCC Report. The related signals of the natural forcing mechanisms considered cover amplitudes of 0.1 - 0.3 K. Our best NNM estimate of the GHG doubling signal amounts to 2.1K, equilibrium, or 1.7 K, transient, respectively.
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Ursachen der Lufttemperaturvariationen in Deutschland 1865 - 1997
(1999)
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Andreas Walter
Christian-Dietrich Schönwiese
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Nonlinear statistical attribution and detection of anthropogenic climate change using a simulated annealing algorithm
(2003)
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Andreas Walter
Christian-Dietrich Schönwiese
- The climate system can be regarded as a dynamic nonlinear system. Thus, traditional linear statistical methods fail to model the nonlinearities of such a system. These nonlinearities render it necessary to find alternative statistical techniques. Since artificial neural network models (NNM) represent such a nonlinear statistical method their use in analyzing the climate system has been studied for a couple of years now. Most authors use the standard Backpropagation Network (BPN) for their investigations, although this specific model architecture carries a certain risk of over-/underfitting. Here we use the so called Cauchy Machine (CM) with an implemented Fast Simulated Annealing schedule (FSA) (Szu, 1986) for the purpose of attributing and detecting anthropogenic climate change instead. Under certain conditions the CM-FSA guarantees to find the global minimum of a yet undefined cost function (Geman and Geman, 1986). In addition to potential anthropogenic influences on climate (greenhouse gases (GHG), sulphur dioxide (SO2)) natural influences on near surface air temperature (variations of solar activity, explosive volcanism and the El Nino = Southern Oscillation phenomenon) serve as model inputs. The simulations are carried out on different spatial scales: global and area weighted averages. In addition, a multiple linear regression analysis serves as a linear reference. It is shown that the adaptive nonlinear CM-FSA algorithm captures the dynamics of the climate system to a great extent. However, free parameters of this specific network architecture have to be optimized subjectively. The quality of the simulations obtained by the CM-FSA algorithm exceeds the results of a multiple linear regression model; the simulation quality on the global scale amounts up to 81% explained variance. Furthermore the combined anthropogenic effect corresponds to the observed increase in temperature Jones et al. (1994), updated by Jones (1999a), for the examined period 1856–1998 on all investigated scales. In accordance to recent findings of physical climate models, the CM-FSA succeeds with the detection of anthropogenic induced climate change on a high significance level. Thus, the CMFSA algorithm can be regarded as a suitable nonlinear statistical tool for modeling and diagnosing the climate system.
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Statistisch-klimatologische Analyse des Hitzesommers 2003 in Deutschland
(2004)
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Christian-Dietrich Schönwiese
Tim Staeger
Silke Trömel
Martin Jonas
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Klimawandel - Tatsache oder Fiktion?
(2005)
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Christian-Dietrich Schönwiese
- Kurzfassung eines Vortrags vom 12. Juli 2004 bei der NaturPur Energie AG, Darmstadt.
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Langzeitänderungen des Niederschlages in Deutschland
(2005)
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Christian-Dietrich Schönwiese
Silke Trömel
- Die im Industriezeitalter und im globalen Mittel beobachtete Erwärmung der unteren Atmosphäre zeigt ausgeprägte regional-jahreszeitliche Besonderheiten (IPCC 2001, SCHÖNWIESE 2003, 2004). Dies gilt in noch höherem Maß für den Niederschlag (vgl. Kap. 3.1.2 und 3.1.8). Die Vermutung, dass eine solche Erwärmung zu einer Intensivierung des hydrologischen Zyklus führt, was im Prinzip zunächst richtig ist (vgl. Kap. 3.1.2), erweist sich jedoch als viel zu simpel, wenn daraus einfach auf eine generelle Niederschlagszunahme geschlossen wird. Dies gilt sogar innerhalb einer so kleinen Region wie Deutschland. Denn obwohl Deutschland im Mittel überproportional an der »globalen« Erwärmung teilnimmt (SCHÖNWIESE 2003, 2004), zeigen die Langzeitänderungen des Niederschlages im Detail ganz unterschiedliche Charakteristika. Dabei kann die hier vorgestellte Beschreibung der in Deutschland beobachteten Niederschlagtrends subregional noch wesentlich verfeinert werden, vgl. z.B. Analyse für Sachsen (FRANKE et al. 2004), da der Niederschlag eine nur geringe räumliche Repräsentanz aufweist (SCHÖNWIESE & RAPP 1997). Zeitliche Änderungen von Klimaelementen lassen sich nun in ganz unterschiedlicher Weise betrachten. Am meisten verbreitet sind lineare Trendberechnungen, wie sie auch einem Teil der hier vorliegenden Studie zugrunde liegen. Es können aber auch Trends anderer statistischer Kenngrößen als des Mittelwertes von Interesse sein, z.B. der Varianz. Häufigkeitsverteilungen, die in normierter Form Wahrscheinlichkeitsdichtefunktionen heißen, erlauben die Bestimmung solcher Kenngrößen in Form der Verteilungsparameter. Wird unter Nutzung geeigneter Verteilungen (z.B. Normal- oder Gumbelverteilung, vgl. unten Abb. 3.1.6-4) eine statistische Modellierung der jeweils betrachteten klimatologischen Zeitreihe vorgenommen, werden Aussagen über die Unter- bzw. Überschreitungswahrscheinlichkeiten bestimmter Schwellenwerte möglich, in verallgemeinerter Form für beliebige Schwellen und Zeiten (TRÖMEL 2004). Da dieser extremwertorientierte Aspekt von großer Wichtigkeit ist, soll auch ihm hier nachgegangen werden (vgl. alternativ Kap. 3.1.7 und 3.1.10). Die im Folgenden verwendeten Daten sind jeweils Monatssummen des Niederschlages 1901–2000 an 132 Stationen in Deutschland (teilweise unter Einbezug einiger Stationen in den angrenzenden Ländern), einschließlich der daraus abgeleiteten Flächenmittelwerte (sog. Rasterdaten; Quelle: Deutscher Wetterdienst, siehe u.a. MÜLLER-WESTERMEIER 2002; vgl. weiterhin RAPP & SCHÖNWIESE 1996, dort auch Hinweise zur Homogenitätsprüfung, sowie RAPP 2000).
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Statistical separation of observed global and European climate data into natural and anthropogenic signals
(2003)
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Tim Staeger
Jürgen Grieser
Christian-Dietrich Schönwiese
- Observed global and European spatiotemporal related fields of surface air temperature, mean-sea-level pressure and precipitation are analyzed statistically with respect to their response to external forcing factors such as anthropogenic greenhouse gases, anthropogenic sulfate aerosol, solar variations and explosive volcanism, and known internal climate mechanisms such as the El Niño-Southern Oscillation (ENSO) and the North Atlantic Oscillation (NAO). As a first step, a principal component analysis (PCA) is applied to the observed spatiotemporal related fields to obtain spatial patterns with linear independent temporal structure. In a second step, the time series of each of the spatial patterns is subject to a stepwise regression analysis in order to separate it into signals of the external forcing factors and internal climate mechanisms as listed above as well as the residuals. Finally a back-transformation leads to the spatiotemporally related patterns of all these signals being intercompared. Two kinds of significance tests are applied to the anthropogenic signals. First, it is tested whether the anthropogenic signal is significant compared with the complete residual variance including natural variability. This test answers the question whether a significant anthropogenic climate change is visible in the observed data. As a second test the anthropogenic signal is tested with respect to the climate noise component only. This test answers the question whether the anthropogenic signal is significant among others in the observed data. Using both tests, regions can be specified where the anthropogenic influence is visible (second test) and regions where the anthropogenic influence has already significantly changed climate (first test).
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Zur Aktualität von Wagenscheins Schulkritik heute : das Wirklichkeits-Defizit im schulischen Lernen
(2005)
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Susanne Düttmann
Jürgen Hasse