1 cluster analysis of european daily temperature series: an extreme value approach andrés m. alonso...

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1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de Madrid Spain

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Page 1: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

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CLUSTER ANALYSIS OF EUROPEAN DAILY

TEMPERATURE SERIES: AN EXTREME VALUE APPROACH

Andrés M. Alonso Departamento de Estadística

Universidad Carlos II de MadridSpain

Page 2: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

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JOINT WORK WITH

Page 3: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

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OUTLINE OF THE TALK

Page 4: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

INTRODUCTORY REMARKS

Page 5: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

INTRODUCTORY REMARKS

Page 6: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

MAIN PURPOSE

Page 7: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

TIME SERIES CLUSTER METHODOLOGY

Page 8: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

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TIME SERIES CLUSTER METHODOLOGY

Page 9: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

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COMPUTATION OF THE PDF’s

Page 10: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

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COMPUTATION OF THE PDF’s

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COMPUTATION OF THE PDF’s

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COMPUTATION OF THE PDF’s

Page 13: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

COMPUTATION OF THE PDF’s

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Our parameter of interest will be the quantile xp for a specified exceedance probability p

Assuming that the Generalized Extreme Value corresponds to the annual maximum.

Then, roughly speaking, xp is the return level that is associated with the return period 1/p for small p, in unit of years.

Page 14: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

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COMPUTATION OF THE PDF’s

Page 15: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

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COMPUTATION OF THE PDF’s

Page 16: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

COMPUTATION OF THE PDF’s

Page 17: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

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COMPUTATION OF THE PDF’s

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DISSIMILARITY MATRIX

Page 19: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

Exploring the European Climate Assessment dataset

Page 20: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

Exploring the European Climate Assessment dataset

Page 21: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

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TEMPERATURES

Page 22: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

RESULTS

Page 23: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

RESULTS

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DENDROGRAM FOR 25-YEARS RETURN VALUES (AVERAGE LINKAGE METHODS)

Page 25: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de

CONCLUSIONS

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REFERENCES