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Matrix Adjustments – How to build
better matrices.
Plus a National Update on the TMN
11 November 2015
Topics
• Matrix Adjustments / Matrix Estimation
– approaches available to create matrices (base and forecast year)
– common mistakes
– mitigating these mistakes
– reporting
• Transport Modellers Network
– an update on the TMN following the recent national meeting;
– an interactive session on the direction of local TMN branch:
o broadening the reach of TMN
o objectives for TMN locally / nationally
o how best the TMN can service the local members
o hot topics that should be discussed
o other issues/ideas
Matrix Adjustments / Matrix Estimation
• Derivation of demand matrices that can be used in Transport Models
– Utilise traffic count data to adjust matrices
– Used to derive base year demand i.e. require existing count information
• Reasons for use
– Most often: lack of data
– Fast efficient process
– Refining existing matrices to improve accuracy
– Requires little data
Approaches
• Preferred approach –
– Trip Generation to derive origins/destinations
– Trip Distribution to generate OD demand
– Mode Choice/Time Period Splicing to derive demand to be assigned
• In the absence of information, or where not suitable to apply, three main
approaches to deriving matrices
– Matrix Estimation/Adjustment <-Base Year
– Furnessing/Fratar <-Base Year/Forecast Year
– Manual Adjustment <-Base Year/Forecast Year
Approaches
• Base Year Inputs –
– Preferably a prior matrix
– At a min should have origin and destination totals
– No input should be treated very carefully
– Bluetooth data?
– Traffic Count data
• Approach should be assessed based on information available, data quality
and timelines of project
Common Mistakes
• Matrix Estimation is a mathematical process
– It does not think
– It does not question outputs
– It attempts to produce the best statistical fit
– It is only good as the inputs provided
• So what does that mean?
– A good r-squared is not necessarily a good indication of a fit-for-purpose matrix
– Don’t trust the results on face value
– But a good fit may indeed be a good result
Common Mistakes
• Common Mistakes made include
– Not checking that demand has been assigned to illogical OD routes
– Checking that the key movements still contain the majority of the demand
– Confirming that the matrix has not been altered significantly
– Assuming that a good r-squared confirms that the demand is suitable
– Assuming that errors in the fit are attributed to the demand
– Software
Mitigating Mistakes
• Illogical OD Routes
– Banned Turn
– Demand assigned to OD Pair 1->2
– Resultant trip
1
2
6 5
3
4
1
2
6 5
3
4
Mitigating Mistakes
• Illogical OD Routes
– Trip recorded against multiple counts
– For simple networks
• Check prior matrix for OD pairs that are not sensible to be included
• Ensure no large allocation applied before or after estimation
– For complex/large networks
• Note possible OD pairs that would ideally use turn
• Check quantum
• Review path data i.e. select-link
1
2
6 5
3
4
Mitigating Mistakes
• Fixing Demand
– The performance of the matrix may vary by location
– Certain cells or row/column totals may be known
– Good Matrix Estimation Tools will allow you to fix cell values, rows / column totals
– Provides flexibility and helps remove potential distortion / compensating errors
– Allows for new land developments not to distort process
Matrix 1 2 3 4 5 6
1
2
3
4
5
6
Mitigating Mistakes
• Reviewing Distribution
– Important to understand changes to matrix
– Need to understand if large/small multipliers have been used
– Large/small adjustments imply poor fit of prior matrix
– Need to understand if adjustments valid or masking an underlying issue
– What is impact of changes
Mitigating Mistakes
• Reviewing Distribution
– Calculate factors applied on OD level
– Adjustment Factor = Estimated Matrix / Prior Matrix
– Plot as a distribution
– Should follow normal distribution
if good fit of prior
– Quick and easy check
0.0%
2.0%
4.0%
6.0%
8.0%
10.0%
12.0%
14.0%
16.0%
18.0%
20.0%
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
2.2
2.4
ProportionofODCells
ME Adjustment Factors
Mitigating Mistakes
• Reviewing Distribution
– Important to review prior and post estimation matrix statistics
• Total Demand
• Vehicle Kilometres Travelled
• Vehicle Hours Travelled
• Trip Ends Profile / Trip Distribution profile
– Large changes indicate change in travel patterns and a need to investigate further
Mitigating Mistakes
• Network, Counts and Assignment
– Don’t just review the demand matrices
– Is network correctly coded?
• Capacities of links?
• Junction layouts?
• Phasing?
• Turn bans?
– How reliable is the count information supplied?
• Is it current year?
• What type of count?
• Do counts provide screenline to assess demand?
1
2
6
5
3
4
Mitigating Mistakes
• Network, Counts and Assignment
– What do the travel paths look like?
• Select link
• Key corridors
• Bandwidth plots
– Count performance by location?
• Systematic/geographical bias/issues?
– Centroid loadings
• Suitable location
• Representative of network access/egress
Reporting
• TELL A STORY!
– If the changes or the results seem counter-intuitive are they correct?
– Report on the process adopted
• Document assumptions – where professional judgement applies
• Refer to guidelines for validation/confirmation of suitable process adopted
• No of iterations, constraints, checks, source of prior (inc development)
– Report on the level of performance and provide key reporting statistics
• Change in network stats
• Distribution of factors
• Modelled vs observed (scatter plot)
• Screenline demands (bar charts)
TMN National Meeting
• AITPM TMN Vision:
– Better connecting people and organisations within the discipline and “outside”
the discipline
– Manage modelling stream of National Conference and Forum annually (as a focus)
in partnership with the State Committee
– Hosting State based events
– Enabling national and international links
– Doing all this within the umbrella of AITPM
TMN In South Australia
• How do we broaden the reach of TMN?
• What should be the objectives for TMN locally / nationally?
• How best can the TMN can service the local members?
• What are the hot topics that should be discussed?
• Any other issues or ideas?

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Matrix Adjustments – How to build better matrices

  • 1. Insert Heading Matrix Adjustments – How to build better matrices. Plus a National Update on the TMN 11 November 2015
  • 2. Topics • Matrix Adjustments / Matrix Estimation – approaches available to create matrices (base and forecast year) – common mistakes – mitigating these mistakes – reporting • Transport Modellers Network – an update on the TMN following the recent national meeting; – an interactive session on the direction of local TMN branch: o broadening the reach of TMN o objectives for TMN locally / nationally o how best the TMN can service the local members o hot topics that should be discussed o other issues/ideas
  • 3. Matrix Adjustments / Matrix Estimation • Derivation of demand matrices that can be used in Transport Models – Utilise traffic count data to adjust matrices – Used to derive base year demand i.e. require existing count information • Reasons for use – Most often: lack of data – Fast efficient process – Refining existing matrices to improve accuracy – Requires little data
  • 4. Approaches • Preferred approach – – Trip Generation to derive origins/destinations – Trip Distribution to generate OD demand – Mode Choice/Time Period Splicing to derive demand to be assigned • In the absence of information, or where not suitable to apply, three main approaches to deriving matrices – Matrix Estimation/Adjustment <-Base Year – Furnessing/Fratar <-Base Year/Forecast Year – Manual Adjustment <-Base Year/Forecast Year
  • 5. Approaches • Base Year Inputs – – Preferably a prior matrix – At a min should have origin and destination totals – No input should be treated very carefully – Bluetooth data? – Traffic Count data • Approach should be assessed based on information available, data quality and timelines of project
  • 6. Common Mistakes • Matrix Estimation is a mathematical process – It does not think – It does not question outputs – It attempts to produce the best statistical fit – It is only good as the inputs provided • So what does that mean? – A good r-squared is not necessarily a good indication of a fit-for-purpose matrix – Don’t trust the results on face value – But a good fit may indeed be a good result
  • 7. Common Mistakes • Common Mistakes made include – Not checking that demand has been assigned to illogical OD routes – Checking that the key movements still contain the majority of the demand – Confirming that the matrix has not been altered significantly – Assuming that a good r-squared confirms that the demand is suitable – Assuming that errors in the fit are attributed to the demand – Software
  • 8. Mitigating Mistakes • Illogical OD Routes – Banned Turn – Demand assigned to OD Pair 1->2 – Resultant trip 1 2 6 5 3 4 1 2 6 5 3 4
  • 9. Mitigating Mistakes • Illogical OD Routes – Trip recorded against multiple counts – For simple networks • Check prior matrix for OD pairs that are not sensible to be included • Ensure no large allocation applied before or after estimation – For complex/large networks • Note possible OD pairs that would ideally use turn • Check quantum • Review path data i.e. select-link 1 2 6 5 3 4
  • 10. Mitigating Mistakes • Fixing Demand – The performance of the matrix may vary by location – Certain cells or row/column totals may be known – Good Matrix Estimation Tools will allow you to fix cell values, rows / column totals – Provides flexibility and helps remove potential distortion / compensating errors – Allows for new land developments not to distort process Matrix 1 2 3 4 5 6 1 2 3 4 5 6
  • 11. Mitigating Mistakes • Reviewing Distribution – Important to understand changes to matrix – Need to understand if large/small multipliers have been used – Large/small adjustments imply poor fit of prior matrix – Need to understand if adjustments valid or masking an underlying issue – What is impact of changes
  • 12. Mitigating Mistakes • Reviewing Distribution – Calculate factors applied on OD level – Adjustment Factor = Estimated Matrix / Prior Matrix – Plot as a distribution – Should follow normal distribution if good fit of prior – Quick and easy check 0.0% 2.0% 4.0% 6.0% 8.0% 10.0% 12.0% 14.0% 16.0% 18.0% 20.0% 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4 ProportionofODCells ME Adjustment Factors
  • 13. Mitigating Mistakes • Reviewing Distribution – Important to review prior and post estimation matrix statistics • Total Demand • Vehicle Kilometres Travelled • Vehicle Hours Travelled • Trip Ends Profile / Trip Distribution profile – Large changes indicate change in travel patterns and a need to investigate further
  • 14. Mitigating Mistakes • Network, Counts and Assignment – Don’t just review the demand matrices – Is network correctly coded? • Capacities of links? • Junction layouts? • Phasing? • Turn bans? – How reliable is the count information supplied? • Is it current year? • What type of count? • Do counts provide screenline to assess demand? 1 2 6 5 3 4
  • 15. Mitigating Mistakes • Network, Counts and Assignment – What do the travel paths look like? • Select link • Key corridors • Bandwidth plots – Count performance by location? • Systematic/geographical bias/issues? – Centroid loadings • Suitable location • Representative of network access/egress
  • 16. Reporting • TELL A STORY! – If the changes or the results seem counter-intuitive are they correct? – Report on the process adopted • Document assumptions – where professional judgement applies • Refer to guidelines for validation/confirmation of suitable process adopted • No of iterations, constraints, checks, source of prior (inc development) – Report on the level of performance and provide key reporting statistics • Change in network stats • Distribution of factors • Modelled vs observed (scatter plot) • Screenline demands (bar charts)
  • 17. TMN National Meeting • AITPM TMN Vision: – Better connecting people and organisations within the discipline and “outside” the discipline – Manage modelling stream of National Conference and Forum annually (as a focus) in partnership with the State Committee – Hosting State based events – Enabling national and international links – Doing all this within the umbrella of AITPM
  • 18. TMN In South Australia • How do we broaden the reach of TMN? • What should be the objectives for TMN locally / nationally? • How best can the TMN can service the local members? • What are the hot topics that should be discussed? • Any other issues or ideas?