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CORDEX Central America and South America Training Workshop on Downscaling Techniques La Paz, Bolivia, June 25-27 2018 Empirical Statistical Downscaling (ESD): Analog Method

Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

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Page 1: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

Empirical Statistical Downscaling

(ESD): Analog Method

Page 2: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

ESD TechniquesESD methods can be classified accordingthe type of the Statistical Technique

Transfer FunctionsBased on linear or nonlinear

regression models

Analogs and Weather Typing

Weather Generators

Wilby et al., 2004; Wilby & Fowler, 2010

Page 3: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

ESD TechniquesESD methods can be classified accordingthe type of the Statistical Technique

Transfer FunctionsBased on linear or nonlinear

regression models

Analogs and Weather Typing

Weather Generators

Page 4: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

ESD TechniquesESD methods can be classified accordingthe type of the Statistical Technique

Analogs and Weather Typing

The downscaling methods relate weatherclasses to local and regional weather conditions.

Page 5: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

For instanceAnalogs and Weather

Typing

The downscaling methods relate weatherclasses to local and regional weather conditions.

SLP and Vector Wind at 1000 hPa

Page 6: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

Analog Method In the analogue method, historical large-scale weather situations similar (according to a selected metric) to the large-scale weather situation on a given target day are identified.

Page 7: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

Analog Method In the analogue method, historical large-scale weather situations similar (according to a selected metric) to the large-scale weather situation on a given target day are identified.

Historical data

1979 2000 2018

Period of interest to be downscaled

Page 8: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

Analog Method In the analogue method, historical large-scale weather situations similar (according to a selected metric) to the large-scale weather situation on a given target day are identified.

Historical data

1979 2000 2018

23/01/2004

Target day

Period of interest to be downscaled

Page 9: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

Analog Method In the analogue method, historical large-scale weather situations similar (according to a selected metric) to the large-scale weather situation on a given target day are identified.

Historical data

1979 2000 2018

23/01/2004

Target day

Period of interest to be downscaled

Large-scale weather situation on the target day (SLP)

Page 10: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

Analog Method In the analogue method, historical large-scale weather situations similar (according to a selected metric) to the large-scale weather situation on a given target day are identified.

Historical data

1979 2000 2018

23/01/2004

Target day

Period of interest to be downscaled

Large-scale weather situation on the target day (SLP)

Local climate associated to this situation: ???

Page 11: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

Analog Method In the analogue method, historical large-scale weather situations similar (according to a selected metric) to the large-scale weather situation on a given target day are identified.

Historical data

1979 2000 2018

23/01/2004

Target day

Period of interest to be downscaled

Large-scale weather situation on the target day (SLP)

We look for the most similar structure in the historical data

Local climate associated to this situation: ???

Page 12: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

Analog Method In the analogue method, historical large-scale weather situations similar (according to a selected metric) to the large-scale weather situation on a given target day are identified.

Historical data

1979 2000 2018

23/01/2004

Target day

Period of interest to be downscaled

Large-scale weather situation on the target day (SLP)

We look for the most similar structure in the historical data

Local climate associated to this situation: ???

Page 13: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

Analog Method In the analogue method, historical large-scale weather situations similar (according to a selected metric) to the large-scale weather situation on a given target day are identified.

Historical data

1979 2000 2018

23/01/2004

Target day

Period of interest to be downscaled

Large-scale weather situation on the target day (SLP)

We look for the most similar structure in the historical data

Known Surface local variables

Local climate associated to this situation: ???

TxTnPr

TxTnPr

TxTnPr

TxTnPr

TxTnPr

Page 14: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

Analog MethodThen, the corresponding historical local weather conditions are used to estimate local weather conditions on the target day.

Historical data

1979 2000 2018

23/01/2004

Target day

Period of interest to be downscaled

Large-scale weather situation on the target day (SLP)

We look for the most similar structure in the historical data

Known Surface local variables

Local climate associated to this situation: ???

TxTnPr

TxTnPr

TxTnPr

TxTnPr

TxTnPr

ANALOGS

Page 15: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

Analog MethodThen, the corresponding historical local weather conditions are used to estimate local weather conditions on the target day.

Historical data

1979 2000 2018

23/01/2004

Target day

Period of interest to be downscaled

Large-scale weather situation on the target day (SLP)

Known Surface local variables

Local climate associated to this situation: ???

TxTnPr

TxTnPr

TxTnPr

TxTnPr

TxTnPr

TxTnPr

Page 16: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

Analog Method In the whole process several decisions have to be made ….

Page 17: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

Analog Method In the whole process several decisions have to be made ….

Historical data

1979 2000 2018

23/01/2004

Target day

Period of interest to be downscaled

Large-scale weather situation on the target day (SLP)• What large scale variables should be considered to

define de large scale weather situation?• Which is the best domain size for those variables?• How do we get the information about those

variables? Raw data? EOF?

Page 18: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

Analog Method

How do we look for the most similar large scale weather situation? Which is the best period of historical data to be considered?Which is the best metric? (Euclidean Distance is the most common)

Historical data

1979 2000 2018

23/01/2004

Target day

Period of interest to be downscaled

Large-scale weather situation on the target day (SLP)

We look for the most similar structure in the historical data

Local climate associated to this situation: ???

In the whole process several decisions have to be made ….

Page 19: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

Analog Method

Historical data

1979 2000 2018

23/01/2004

Target day

Period of interest to be downscaled

Large-scale weather situation on the target day (SLP)

We look for the most similar structure in the historical data

Known Surface local variables

Local climate associated to this situation: ???

TxTnPr

TxTnPr

TxTnPr

TxTnPr

TxTnPr

In the whole process several decisions have to be made ….

How do we estimate local weather conditions using the analogs?

Page 20: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

Analog Method

Historical data

1979 2000 2018

23/01/2004

Target day

Period of interest to be downscaled

Large-scale weather situation on the target day (SLP)

Known Surface local variables

Local climate associated to this situation: ???

TxTnPr

TxTnPr

TxTnPr

TxTnPr

TxTnPr

TxTnPr

In the whole process several decisions have to be made ….

How do we estimate local weather conditions using the analogs?

The nearest neighbor: we consider the most similar large-scale situation (lowest distance), just one analog.

Page 21: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

Analog Method

Historical data

1979 2000 2018

23/01/2004

Target day

Period of interest to be downscaled

Large-scale weather situation on the target day (SLP)

Known Surface local variables

Local climate associated to this situation: ???

TxTnPr

TxTnPr

TxTnPr

TxTnPr

TxTnPr

TxTnPr

In the whole process several decisions have to be made ….

How do we estimate local weather conditions using the analogs?

We can also consider the average of several analogs (n).

Page 22: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

Analog Method

Historical data

1979 2000 2018

23/01/2004

Target day

Period of interest to be downscaled

Large-scale weather situation on the target day (SLP)

Known Surface local variables

Local climate associated to this situation: ???

TxTnPr

TxTnPr

TxTnPr

TxTnPr

TxTnPr

TxTnPr

In the whole process several decisions have to be made ….

How do we estimate local weather conditions using the analogs?

Or we just can pick a random analog among the n analogs

Page 23: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

Analog Method

It is able to be applied to both normally and non-normally variables such as local temperatures and precipitation.

With a relatively simple design, the analog method has shown to perform as well as more complicated methods.

However, it is incapable of predicting new values that are outside the range of the historical data.

Our training is on Analogs ….

Page 24: Empirical Statistical Downscaling (ESD): Analog Method · Empirical Statistical Downscaling (ESD): Analog Method. CORDEX Central America and South America Training Workshop on Downscaling

CORDEX Central America and South America

Training Workshop on Downscaling Techniques

La Paz, Bolivia, June 25-27 2018

Analog Method We will use the Climate4R tool developed by the Santander Meteorology Grouphttps://www.meteo.unican.es/en/climate4R