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Producing and validating small area estimates
of household electricity demand

Dr Ben Anderson
Sustainable Energy Research Centre
University of Southampton
@dataknut

IMA 2013
Canberra, December 12th 2013
Small Area Estimates of Electricity Consumption

Contents
 What & Why

 How?
 Results
– Overall consumption
– Consumption inequalities

 Conclusions & future Directions
@dataknut

2
Small Area Estimates of Electricity Consumption

Contents
 What & Why

 How?

?

 Results
– Overall consumption
– Consumption inequalities

 Conclusions & future Directions
@dataknut

3
Small Area Estimates of Electricity Consumption

Digression: Geography
 Southampton (UK)

@dataknut

4
Small Area Estimates of Electricity Consumption

Digression: What’s a small area?
 In this case…
– English Lower Layer
Super Output Areas
– Census 2001 LSOAs
– c. 630 households each
– 148 in Southampton City

@dataknut

5
Small Area Estimates of Electricity Consumption

What & Why
 Basically we want something for nothing
– Small area estimates of energy demand
– Without a bespoke energy census

 Why?
– Infrastructure planning
– Energy efficiency intervention analysis
– Politics!
@dataknut

6
Small Area Estimates of Electricity Consumption

The problem:
 Small area summaries exist
 But they are aggregates
– Or averages

 And we want a micro-level model
– To micro-simulate change…

@dataknut

7
Small Area Estimates of Electricity Consumption

What can we do?
 A bespoke energy census
– ££££££££££££££££££££

@dataknut

8
Small Area Estimates of Electricity Consumption

What can we do?
 A bespoke energy census
– ££££££££££££££££££££

 A large sample energy survey covering all
LSOAs
– ££££££££££

@dataknut

9
Small Area Estimates of Electricity Consumption

What can we do?
 A bespoke energy census
– ££££££££££££££££££££

 A large sample energy survey covering all LSOAs
– ££££££££££

 Small Area Estimation
– Take existing area level data
– Take (ideally) an existing large n survey
– Combine £
@dataknut

10
Small Area Estimates of Electricity Consumption

Small Area Estimation
 Econometric approaches

Income, income deprivation,
income inequality
smoking prevalence,
obesity,
consumption expenditure,
CO2, water…

– Well known
– Multi-level Models
– Usually requires census microdata for anything other
Innovation Network:
than means
“Evaluating and improving small area
estimation methods”

 Re-weighting (and other) approaches
– Increasingly http://eprints.ncrm.ac.uk/3210/
well known
– 'Spatial microsimulation'
– Does not require census microdata
@dataknut

11
Small Area Estimates of Electricity Consumption

Contents
 What & Why

Estimation

 How?
 Results
– Overall consumption
– Consumption inequalities

 Conclusions & Future Directions
@dataknut

12
Small Area Estimates of Electricity Consumption

Data
 Data
– Living Costs and Food Survey 2008-2010
Consumption proxies (reported energy expenditure)

– Census 2001 (2011)

 Projection
– Projected ‘surveys’
– Projected ‘census’

 So far…
@dataknut

13
Small Area Estimates of Electricity Consumption

Conceptually…
LSOA census ‘constraint’ tables

Survey data cases
If Region = 1

LSOA 1.1
(Region1)

If Region = 2

@dataknut

Weights

LSOA 2.1
(Region2)

Iterative proportional fitting

Ballas et al (2005)
14
Small Area Estimates of Electricity Consumption

Key First Job:
 Choose your constraints
Census data

Survey data

 You may have little choice

@dataknut

16
Small Area Estimates of Electricity Consumption

Key First Job:
 The constraints
– Selected by stepwise regression
Expenditure
Number of persons

Employment Status

Accommodation type

Number of earners

Age of HRP

Age of HRP

Employment Status

Most important

Share of expenditure

Composition

Number of rooms
Number of children
Least important
R sq
@dataknut

Ethnicity (non-white)
0.136

0.01
19
Small Area Estimates of Electricity Consumption

IPF…
 Well known!
 Deming and Stephan 1940
– Fienberg 1970; Wong 1992

 A way of iteratively adjusting statistical tables
– To give known margins (row/column totals)

 In this case
– Create weights for each case so LSOA totals ‘fit’
constraints
– Weighting ‘down’
@dataknut

20
Small Area Estimates of Electricity Consumption

Internal Validation methods
 Use of constraints to re-create the Census
tables
 Difference = Absolute Error
–
–

Total Absolute Error (TAE) = sum of all
errors
Standardised AE = TAE/(n persons x n
constraint categories)

 Smith et al:
–

SAE of less than 20% and ideally less
than 10%

–

Consumption

Mean SAE

p90

Ethnicity

2.18%

3.05%

Number of children

0.11%

0.22%

Number of rooms

0.05%

0.10%

Employment status
(HRP)

0.88%

1.22%

Age (HRP)

0.34%

0.75%

Tenure

0.07%

0.14%

Accomodation type

0.21%

0.51%

Number of persons

0.00%

0.00%

in 90% of the areas is desirable.

@dataknut

21
Small Area Estimates of Electricity Consumption

Preliminary results: Electricity
 Mean weekly £

 Modelled
 Census 2001
 LC&F Survey 20082010

@dataknut

22
Small Area Estimates of Electricity Consumption

Validation: Electricity
 Mean weekly £

 Observed @LSOA
 DECC 2010
 Spearman: 0.317

@dataknut

23
Small Area Estimates of Electricity Consumption

Preliminary results: Electricity
 Total weekly £

 Modelled
 Census 2001
 LC&F Survey 2008-2010

@dataknut

24
Small Area Estimates of Electricity Consumption

Validation: Electricity
 Total weekly £

 Observed @LSOA
 DECC 2010
 Spearman: 0.509

@dataknut

25
Small Area Estimates of Electricity Consumption

What is causing the error?
 Heating!
–

@dataknut

2011 data

26
Small Area Estimates of Electricity Consumption

What is causing the error?
 Heating!
–

2011 data

 Housing growth
 Combined

@dataknut

27
Small Area Estimates of Electricity Consumption

Consumption inequality
 Area level gini

 R = -0.413
–

@dataknut

(p < 0.001)

28
Small Area Estimates of Electricity Consumption

Consumption inequality
 Area level gini

 R = 0.463
–

@dataknut

(p < 0.001)

29
Small Area Estimates of Electricity Consumption

My big worry
 Data quality

@dataknut

30
Small Area Estimates of Electricity Consumption

Contents
 What & Why

 How?
 Results
– Overall consumption
– Consumption inequalities

 Conclusions & Future Directions
@dataknut

31
Small Area Estimates of Electricity Consumption

Conclusions
 Outliers and errors are informative
 Reported consumption data
– Could be dangerous

 Census 2011 central heating
– Critical new constraint

@dataknut

32
Small Area Estimates of Electricity Consumption

Future directions
 Update for 2011 data
 Census projection 1981 -> 2021
 Use measured energy consumption
 Contact:
– b.anderson@soton.ac.uk

@dataknut

33

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Producing and validating small area estimates of household electricity demand

  • 1. Producing and validating small area estimates of household electricity demand Dr Ben Anderson Sustainable Energy Research Centre University of Southampton @dataknut IMA 2013 Canberra, December 12th 2013
  • 2. Small Area Estimates of Electricity Consumption Contents  What & Why  How?  Results – Overall consumption – Consumption inequalities  Conclusions & future Directions @dataknut 2
  • 3. Small Area Estimates of Electricity Consumption Contents  What & Why  How? ?  Results – Overall consumption – Consumption inequalities  Conclusions & future Directions @dataknut 3
  • 4. Small Area Estimates of Electricity Consumption Digression: Geography  Southampton (UK) @dataknut 4
  • 5. Small Area Estimates of Electricity Consumption Digression: What’s a small area?  In this case… – English Lower Layer Super Output Areas – Census 2001 LSOAs – c. 630 households each – 148 in Southampton City @dataknut 5
  • 6. Small Area Estimates of Electricity Consumption What & Why  Basically we want something for nothing – Small area estimates of energy demand – Without a bespoke energy census  Why? – Infrastructure planning – Energy efficiency intervention analysis – Politics! @dataknut 6
  • 7. Small Area Estimates of Electricity Consumption The problem:  Small area summaries exist  But they are aggregates – Or averages  And we want a micro-level model – To micro-simulate change… @dataknut 7
  • 8. Small Area Estimates of Electricity Consumption What can we do?  A bespoke energy census – ££££££££££££££££££££ @dataknut 8
  • 9. Small Area Estimates of Electricity Consumption What can we do?  A bespoke energy census – ££££££££££££££££££££  A large sample energy survey covering all LSOAs – ££££££££££ @dataknut 9
  • 10. Small Area Estimates of Electricity Consumption What can we do?  A bespoke energy census – ££££££££££££££££££££  A large sample energy survey covering all LSOAs – ££££££££££  Small Area Estimation – Take existing area level data – Take (ideally) an existing large n survey – Combine £ @dataknut 10
  • 11. Small Area Estimates of Electricity Consumption Small Area Estimation  Econometric approaches Income, income deprivation, income inequality smoking prevalence, obesity, consumption expenditure, CO2, water… – Well known – Multi-level Models – Usually requires census microdata for anything other Innovation Network: than means “Evaluating and improving small area estimation methods”  Re-weighting (and other) approaches – Increasingly http://eprints.ncrm.ac.uk/3210/ well known – 'Spatial microsimulation' – Does not require census microdata @dataknut 11
  • 12. Small Area Estimates of Electricity Consumption Contents  What & Why Estimation  How?  Results – Overall consumption – Consumption inequalities  Conclusions & Future Directions @dataknut 12
  • 13. Small Area Estimates of Electricity Consumption Data  Data – Living Costs and Food Survey 2008-2010 Consumption proxies (reported energy expenditure) – Census 2001 (2011)  Projection – Projected ‘surveys’ – Projected ‘census’  So far… @dataknut 13
  • 14. Small Area Estimates of Electricity Consumption Conceptually… LSOA census ‘constraint’ tables Survey data cases If Region = 1 LSOA 1.1 (Region1) If Region = 2 @dataknut Weights LSOA 2.1 (Region2) Iterative proportional fitting Ballas et al (2005) 14
  • 15. Small Area Estimates of Electricity Consumption Key First Job:  Choose your constraints Census data Survey data  You may have little choice @dataknut 16
  • 16. Small Area Estimates of Electricity Consumption Key First Job:  The constraints – Selected by stepwise regression Expenditure Number of persons Employment Status Accommodation type Number of earners Age of HRP Age of HRP Employment Status Most important Share of expenditure Composition Number of rooms Number of children Least important R sq @dataknut Ethnicity (non-white) 0.136 0.01 19
  • 17. Small Area Estimates of Electricity Consumption IPF…  Well known!  Deming and Stephan 1940 – Fienberg 1970; Wong 1992  A way of iteratively adjusting statistical tables – To give known margins (row/column totals)  In this case – Create weights for each case so LSOA totals ‘fit’ constraints – Weighting ‘down’ @dataknut 20
  • 18. Small Area Estimates of Electricity Consumption Internal Validation methods  Use of constraints to re-create the Census tables  Difference = Absolute Error – – Total Absolute Error (TAE) = sum of all errors Standardised AE = TAE/(n persons x n constraint categories)  Smith et al: – SAE of less than 20% and ideally less than 10% – Consumption Mean SAE p90 Ethnicity 2.18% 3.05% Number of children 0.11% 0.22% Number of rooms 0.05% 0.10% Employment status (HRP) 0.88% 1.22% Age (HRP) 0.34% 0.75% Tenure 0.07% 0.14% Accomodation type 0.21% 0.51% Number of persons 0.00% 0.00% in 90% of the areas is desirable. @dataknut 21
  • 19. Small Area Estimates of Electricity Consumption Preliminary results: Electricity  Mean weekly £  Modelled  Census 2001  LC&F Survey 20082010 @dataknut 22
  • 20. Small Area Estimates of Electricity Consumption Validation: Electricity  Mean weekly £  Observed @LSOA  DECC 2010  Spearman: 0.317 @dataknut 23
  • 21. Small Area Estimates of Electricity Consumption Preliminary results: Electricity  Total weekly £  Modelled  Census 2001  LC&F Survey 2008-2010 @dataknut 24
  • 22. Small Area Estimates of Electricity Consumption Validation: Electricity  Total weekly £  Observed @LSOA  DECC 2010  Spearman: 0.509 @dataknut 25
  • 23. Small Area Estimates of Electricity Consumption What is causing the error?  Heating! – @dataknut 2011 data 26
  • 24. Small Area Estimates of Electricity Consumption What is causing the error?  Heating! – 2011 data  Housing growth  Combined @dataknut 27
  • 25. Small Area Estimates of Electricity Consumption Consumption inequality  Area level gini  R = -0.413 – @dataknut (p < 0.001) 28
  • 26. Small Area Estimates of Electricity Consumption Consumption inequality  Area level gini  R = 0.463 – @dataknut (p < 0.001) 29
  • 27. Small Area Estimates of Electricity Consumption My big worry  Data quality @dataknut 30
  • 28. Small Area Estimates of Electricity Consumption Contents  What & Why  How?  Results – Overall consumption – Consumption inequalities  Conclusions & Future Directions @dataknut 31
  • 29. Small Area Estimates of Electricity Consumption Conclusions  Outliers and errors are informative  Reported consumption data – Could be dangerous  Census 2011 central heating – Critical new constraint @dataknut 32
  • 30. Small Area Estimates of Electricity Consumption Future directions  Update for 2011 data  Census projection 1981 -> 2021  Use measured energy consumption  Contact: – b.anderson@soton.ac.uk @dataknut 33

Notas del editor

  1. Data from SPRG linked water demand survey2 implications:Error in the estimates (spurious correlation with constraints)Error in any policy microsimulation