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The ProgTrans/IWW infrastructure cost calculation model

• an analysis of three road categories

INSTITUTE FOR ECONOMIC POLICY RESEARCH (IWW) NETWORK ECONOMICS

Cornelia Bange, Gernot Liedtke, 08.10.2011, 11th Infraday, Berlin

INSTITUTE FOR ECONOMIC POLICY RESEARCH (IWW), NETWORK ECONOMICS

KIT – University of the State of Baden-Wuerttemberg and National Laboratory of the Helmholtz Association

www.kit.edu

Outline

1

Model premises

1.

Model premises

2.

Economic depreciation

3.

ProgTrans/IWW Model description

4.

Results Concl sion

5.

Conclusion

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ProgTrans/IWW infrastructure cost calculation model

Premises

Public enterprise Financing in terms of public market conditions Financing in terms of public market conditions Long-term high-quality and self-financing road infrastructure Market-based sustainability of substance Concept of economic depreciation Current depreciated values Efficient and fair cost allocation Static and dynamic efficiency Usage-based, intergenerational and causative fairness

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ProgTrans/IWW infrastructure cost calculation model

Usage based, intergenerational and causative fairness

Economic depreciation I p

Open depreciation method Gross asset GA(t) e al ated ith replacement prices Gross asset GA(t) evaluated with replacement prices NA(t) = GA(t) * ((T-t)/T)) = current depreciated value D(t) = NA(t) – NA(t-1) + RI(t) Success neutrality S th ti M th d Synthetic Method

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ProgTrans/IWW infrastructure cost calculation model

Economic depreciation II p

16

Linear depreciation Economic depreciation Example: capital costs bridges

12 14 16

in %

12 14 16

in %

8 10

he net asset

8 10

he net asset

2 4 6

share of th

2 4 6

share of t

10 20 30 40 50 60

interest depreciation

10 20 30 40 50 60

interest depreciation

Intergenerational fairness, sustainability of substance

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ProgTrans/IWW infrastructure cost calculation model

ProgTrans/IWW model description I g p

Overview

step1

Calculating infrastructure costs

by

• Road sections
• Construction elements

step 2: allocation infrastructurecosts

by to

• road sections

vehicle categories

• elements

step 3: toll rate differentiation

• Vertically by axle classes
• Horizontally by euroclasses

land earthworks W) GVW

Motor- cycles

Costs HGV more than 12 t GVW

counter d i t

nodes base layer road surface ally to mileage c costs cars/others sts (3.5 to 12 t (GVW s HGV 12t or more G pendent costs based costs

Cars and

• thers

bus Light good

Mileage HGV more than 12 t GVW Average toll rate HGV more than 12 t GVW

denominator quotient

tunnel bridges

maintance area resting facility

Proportiona System-specific System-specific cos stem-specific costs Capacity-dep Weight-b

vehicles (<3,5t) HGV under 12 t GVW HGV with

euro 1 euro 2 euro 4 euro 5 euro 6 euro 1 euro 2 euro 4 euro 5 euro 6 euro 3 euro 3

resting facility

• peration

toll system S Sy

HGV with 12t ore more GVW

euro 1 euro 2 euro 4 euro 5 euro 6

Horizontal differentiation Vertical differentiation

euro 3

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ProgTrans/IWW infrastructure cost calculation model

Basics: determining and predicting the mileage by

– road sections – vehicle categories

ProgTrans/IWW model description II

Step 1.1 Inventory in the base year Step 1.2: Prediction in the fical year Step 1.3 Calculation infrastructure costs

g p

Determination of gross assest, net assets and economic depreciations R d i t Prediction of the road Inventory in the base year Prediction in the fical year Calculation infrastructure costs depreciations by ‐ Sections ‐ Constructive elements Road inventory in the base year Prediction of the road inventory in the fiscal year

Asset erosion Reinvestments New constructions

nodes road surface earthworks land aquisition Determining the replacement unit cost rates in the base year Prediction of the replacement unit cost rates in the fiscal year equipment tunnels maintenance depots service areas bridges bridges + operational costs = total infrastructure costs

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ProgTrans/IWW infrastructure cost calculation model

ProgTrans/IWW model description III g p

St 2 Step 2: Allocation of infrastructure costs

by to ‐ Road sections ‐ vehicle categories ‐ construction elements ge thers GV an 12 t GVW nt numbers)) O‐formular) motorcycles Cars &

• thers

b tionally to mileag ecific costs cars/o ‐specific costs HG

• sts HGV more tha

nt costs (equivale ent costs (AASHO busses Light goods vehicles (<3,5t GVW) Proport system‐spe System‐ System‐specific co apacity‐dependen Weight‐depende HGV up to 12t GVW HGV more than 12t GVW S Ca GVW Basics: Determination and prediction of the mileage by – road sections – vehicles categories

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ProgTrans/IWW infrastructure cost calculation model

ProgTrans/IWW model description IV g p

Step 3: differentiation of toll rates ‐ Vertically by axle classes

Costs HGV more than 12 t GVW ‐ Horizontally by euro classes Mileage HGV more than 12 t GVW Average toll rate Euro 1 Euro 2 Euro 4 Euro 5 Euro 6 HGV more than 12 t GVW Vertical Euro 3 Horizontal differentiation Euro 1 Euro 2 Euro 4 Euro 5 Euro 6 Euro 3

Basics: Determination and prediction of mileages by

‐ road sections

hi l t i differentiation

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ProgTrans/IWW infrastructure cost calculation model

‐ vehicle categories

Results I

Four-lane federal roads: Agglomeration areas like Frankfurt, Stuttgart, Berlin a u t, Stuttga t, e Road sections of national-wide relevance relevance

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ProgTrans/IWW infrastructure cost calculation model

Results II

200

Costs comparison per km of selected infrastructure elements in 2010

140 160 180 100 120 140 per km in 1000 40 60 80 costs 20 40

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ProgTrans/IWW infrastructure cost calculation model

motorways per km four-lane federal roads per km

• ther federal roads km

Results III

Average toll rate for different vehicle categories on motorways and four-lane federal roads

0,35

motorways and four lane federal roads

0,25 0,30 0,15 0,20 in €/km 0,05 0,10 0,00 motorbycicles cars and others van bus HGV<12t HGV>12t motorways four-lane federal roads

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ProgTrans/IWW infrastructure cost calculation model

Conclusion

Future-oriented, market-based infrastructure cost model Application of different road categories Infrastructure costs of four-lane federal roads are relatively high Application for other infrastructures is feasible

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ProgTrans/IWW infrastructure cost calculation model

Feedbacks are welcome! Feedbacks are welcome! Bange@kit.edu

INSTITUTE FOR ECONOMIC POLICY RESEARCH (IWW) NETWORK ECONOMICS

CORNELIA BANGE

INSTITUTE FOR ECONOMIC POLICY RESEARCH (IWW), NETWORK ECONOMICS

KIT – University of the State of Baden-Wuerttemberg and National Laboratory of the Helmholtz Association

www.kit.edu

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INSTITUTE FOR ECONOMIC POLICY RESEARCH (IWW) NETWORK ECONOMICS

CORNELIA BANGE

INSTITUTE FOR ECONOMIC POLICY RESEARCH (IWW), NETWORK ECONOMICS

KIT – University of the State of Baden-Wuerttemberg and National Laboratory of the Helmholtz Association

www.kit.edu

ProgTrans/IWW model description IV g p

Construction categories Allocation principles Proportio- nally Specific costs cars Specific costs HGV<12t Specific costs HGV>12t Capacity- dependent Weight- dependent AASHO cars HGV 12t HGV 12t AASHO Land acquisition 100 Earthworks/ drainage (B) 100 (M) 100 B l (B) Base layers (B) X Y Z (M) Binders (B) (M) Road surface (B) 100 (M) 100 (M) 100 Tunnels (B) 45 5 50 (M) 80 20 Bridges (B) 15 85 (M) 15 85 (B) 33 67 Equipment (B) 33 67 (M) 33 67 Branches, nodes (B) 20 20 10 10 40 (M) 15 10 40 35 Motorway maintenance depots (B) 33 67 (M) 33 67 maintenance depots (M) 33 67 Service areas and lay- bys (B) 20 15 5 60 (M) 20 15 5 60 Administration/police 33 67 U k 35 15 50

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ProgTrans/IWW infrastructure cost calculation model

Upkeep 35 15 50