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On Joint Rail and Property Development: 
Opportunities and Potential Pitfalls
Hong K. LO
Hong Kong University of Science and Technology
1
2
3
Facts and figures
• Population: ~ 7 million
• Total area:1104 km2, about 20% land developed
• Urban density: 34,000 persons/km2
• In comparison: LA ‐ 3,144; Tokyo ‐ 7,100
• 12 million daily PT trips, ~90% of all trips
• Mean journey time: 39 minutes, over 50% within 30 
minutes
4
Background
• Mass transit railway services
– Safe, improve mobility, avoid congestion, etc.
– Ideal if financially sustainable, with affordable fares 
and expedient quality
– The case of Hong Kong: all rail services are provided 
under prudent commercial principles, renowned for 
high quality and profitability, often considered as a 
benchmark for urban rail transit projects
Public Transport in Hong Kong
• Public Transport in HK involves a multi‐modal 
network
– Railways (MTR, LRT)
– Franchised Buses (over 600 routes)
– Red and green Minibuses (hundreds of routes)
– Taxi, ferries, tram, peak Tram
• All modes are financially sustainable without 
direct government subsidy
6
7
Modal Split
8
38%
24%
14%
6% 5%
9
Airport
Downtown
Border
Shenzhen1970
1990 - 2000
1980
10
Supply of transit services
Hong Kong London Singapore
Rail car-km (million) 255 414 89
Bus vehicle-km (million) 513 450 299
Population (million) 6.9 7.4 4.2
Rail car-km per capita 37.0 56.3 21.0
Bus vehicle-km per capita 74.4 61.2 70.5
Combined rail car and bus vehicle-km per capita 111.4 117.5 91.5
% total passenger-km on mass public transit 82% 30% 47%
Source: Lo, H., S. Tang and D. Z.W. Wang. 2008. Managing the Accessibility on Mass
Public Transit: the Case of Hong Kong. Journal of Transport and Land Use, 1:2, 23-49.
Land‐use and Transport Policy in Hong Kong
1. The policy on land development 
2. The Policy of Limiting Private Car Ownership and Usage 
3. The Policy of Transit Service Coordination and 
Protection (1980’s) 
4. The Policy of Service Proliferation and Competition 
(1990’s) 
5. The Policy of Service Rationalization and Consolidation 
(2000’s) 
12
Source: Tang, S. and H. Lo. 2008. The Impact of Public Transport Policy on the Viability
and Sustainability of Mass Railway Transit – The Hong Kong Experience. Transportation
Research Part A, 42, 563- 576.
Policy on Land Development 
• Scarcity of land and expanding population form a catalyst 
for high density development sustaining over the years
• Developments of the existing central business districts 
around the Victoria Harbor generate tremendous 
converging traffic demand
• High‐density residential estates, or new towns, built 
around railway stations form large passenger bases to 
support mass transit railways and their financial 
sustainability 
13
14
Example: TKO new town
15
Example: TKO new town
The total
development area
of TKO is about
10.05 km², with a
population of
around 350,000.
The average
density is 35,000
per km²
Policy of Limiting Private Car Ownership 
and Usage
• Passenger car ownership: 56 per 1000 people; US: 439; 
Singapore: 121; Chile: 118   (World Bank Data  2009)
• New private cars are subject to the first registration tax 
from 35% to 100% of the vehicle cost 
• High fuel tax: Unleaded gas in Hong Kong is ~ HK$15/liter 
or RMB 6/liter
• Private car trips constitute 10% of total daily passenger 
trips, as compared with 95% in the US.
16
Transit service coordination and protection 
(1980s)
• Higher priority given to off‐street public transit
• Rapid development of rail transit services, with protection 
against direct competition from other modes
• Allowed the creation of a win‐win situation; the Govt could 
rely on the private sector to provide for services based on the 
user‐pay principle without subsidy 
• But later criticized as protecting the existing sizeable operators 
and unable to motivate their service improvement
Service proliferation and competition 
(1990s)
• Encourage “healthy” competition between modes
– Remove the protection policy for the rail mode 
– Massive expansions of both rail and bus services
• This policy was initially welcome, but at the expense of:
– Congestion externality – oversupply of buses on profitable 
corridors
– Financial difficulties for operators – the demand was spread 
too thin due to oversupply of services
Policy of service rationalization and 
consolidation (2000’s) 
• The Government outlined future transport strategies: (1) 
better integration of transport and land use, (2) better 
use of railway as the backbone, (3) better use of ITS,  etc. 
• One objective was to increase rail‐based PT journeys from 
33% to 40% ~ 50% in 2016. 
• Plans for bus service consolidation were strongly objected 
by local districts; this policy were not welcome and 
resisted at every step of the way. 
• In the end, once a public transport service is offered, it is 
extremely difficult to consolidate its service. 
19
Impacts of Transport Policies
Rail and bus services supply and utilization rate
50%
100%
150%
200%
250%
300%
350%
1984: Service
Coordination &
Protection
1994: Service
Profilation &
Competition
2004: Service
Rationalization
& Consolidation
Rail passenger trips per
rail car-km
Franchised bus passenger
trips per bus vehicle-km
Rail car-km per capita
Rail passenger trips per
capita
Franchised bus vehicle-km
per capita
Franchised bus passenger
trips per capita
Combined rail +
franchised bus passenger
trips per capita
Rail car-km/capita
Bus veh-km/capita
Rail transit development model in Hong Kong
Property
Developer
Fund, build and operate the
railway, and pay back dividend
Define legal framework, derive
policies, drive and monitor railway
development, and grant land for
property development
Share property
development profit
Form joint venture to develop
property
Contribute to
economic
growth
Regulate
land use
and town
planning
Railway
Company
Government
Costs and revenues of MTR
0
1000
2000
3000
4000
5000
6000
7000
8000
9000
10000
11000
12000
13000
14000
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
year
million
Total Operating Cost after depreciation
Total Operating Cost before depreciation
Total Income including property profit
Fare Revenue
Turnover
0
1000
2000
3000
4000
5000
6000
7000
8000
9000
10000
11000
12000
13000
14000
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
year
million
Total Operating Cost after depreciation
Total Operating Cost before depreciation
Total Income including property profit
Fare Revenue
Turnover
Fare Rev
Op cost aft
depreciation
Op cost bef
depreciation
Total inc
Profitability of Operators 
Return rates
MTR (rail):
Average after 
opening of the 
Airport Railway 
(1998 – 2006)
KMB (bus):
Average over 
last 5 years
(2002‐2006)
Operating margin 
before tax
6.0% 14%
Operating return on 
net fixed asset
0.7% 14%
Total return 
(including 
property profit) on 
net fixed asset
5.1% N/A
23
24
Comparison of Operating Costs
Average operating cost (HK$)
MTR
(rail)
KMB
(bus)
MTR vs KMB
(rail vs bus)
Before depreciation & interest
• Per passenger carried (HK$) 3.8 3.8 Similar
• Per space-km (HK$) 0.09 0.10 10% lower
After depreciation & interest:
• Per Passenger carried 7.2 4.5 60% higher
• Per space-km (HK$) 0.18 0.12 50% higher
Analysis for a more general context
• To analyze transport infrastructure development strategies, 
cross‐subsidization between housing market and 
transportation infrastructure projects, public housing 
provision, etc.
• To investigate the distribution of costs and returns among 
different stakeholders.
• To develop an analytical framework for an integrated land 
use and transport system. 
• To study the impact of transport management strategies on 
residential  location choices and the resultant land value. 
An integrated land use and transport system…
…modeled by an analytical framework
A general equilibrium Residents’ location and
travel choices
System optimization
Residential location
Workplaces
Travel modes
Travel routes
Government/Planners
(Planning perspective)
TS-DM strategies:
Network expansion and/or
Road pricing, etc.
To be decided…To achieve… Stakeholders
Housing provision Developers’ decision( )r
S 
r
s
m
p
( ) ( )
( , ) 
a ay ρ
A general equilibrium framework
– Bid‐rent Process (who to rent to and the resultant rent)
• Based on residents’ willingness to pay
• Auction process
• Bid‐rent at different locations (expected maximum rent)
– Residential location Choice (which location to rent from) 
• Location choice: location accessibility, attractiveness  
• Travel choice: transportation cost
• Utility maximization
– Developer housing supply problem
• Bid‐rent at different locations
• Cost of housing supply
• Profit maximization
28
Sources:
• Ma, X. and H. Lo. 2013. On Joint Railway and Housing Development Strategy. 20th International
Symposium on Traffic and Transportation Theory (ISTTT) and Transportation Research Part B,
57, 451-467.
• Ma, X., Lo, H.K., 2012. Modeling transport management and land use over time. Transportation
Research Part B, 46 (6), 687-709.
Combined Residential Location 
Choice and the Bid‐rent Process
29
High
Lowr1
rr
s1
ss
High
Low
WP
WP
WP
WP
High
Lowr1
rr
s1
ss
High
Low
CS
CS
Residents’
perspective
r: location r: locations: working place s: working place
Landowners’
perspective
Resident
Demand
Housing
Supply
• The two choice processes are proven to be consistent and
produce identical allocations
Bid-rent
Process
Residence
choice
Bid‐Rent Process
30
High
Lowr1
rr
s1
ss
High
Low
WP
WP
WP
WP
r: location
/
	 ∙
∑ ∑ 	 ∙
∙ /
Willingness-to-Pay (WP): for a location r
is expressed as:
		
s: working place
Landowners’
perspective
: utility index by setting
	 : Income of class k
: Utility level (Non-housing spending)
: Attractiveness of Housing Units,
e.g. lot Size, Age, etc.
: Generalized Travel Cost
/Accessibility
The number of resident occupied in
location r:
Housing
Supply
Resultant housing rent: is expressed as the
log-sum term, adjusted by the housing supply
at that location
1
∙ /
1
	
Expected Maximum
Willingness-to-pay
Supply Effect
Residential Location Choice
• Consumer Surplus (CS): is 
expressed as the difference 
between resident’s 
willingness‐to‐pay and the 
actual rent:
31
High
Lowr1
rr
s1
ss
High
Low
CS
CS
Residents’ perspective
r: location
	 ∙
∑ 	 ∙
q ∙
s: working place
The number of resident choosing location r:
Resident
Demand
/
Combined Residential Location 
Choice and the Bid‐rent Process
32
High
Lowr1
rr
s1
ss
High
Low
WP
WP
WP
WP
High
Lowr1
rr
s1
ss
High
Low
CS
CS
Residents’
perspectiver: location r: locations: working place s: working place
	 ∙
∑ 	 ∙
q ∙
/
	 ∙
∑ ∑ 	 ∙
q ∙ /
Landowners’
perspective
Equilibrium
Condition
Housing
Supply
Resident
Demand
Developer housing supply choice
• Developers’ decision on housing provision
– Under the principle of profit maximization
( )r
S 
 
 
22
22
( )
( )
2'( )
'
exp( )
Pr , 0, 1
exp( )
r nn
r
r nn
r R
n



 

 




   

     2 2 2r n r n r n
Hb  
   
 
(0)
2( )
( ) ( )
2
, 0
Pr ,
r
r
r
S n
S
S n

 


  
 
 
 Following a quasi dynamic structure
Profit
Benefit distribution among stakeholders
• The impact of transport supply and demand 
management on the benefit of
– heterogeneous income groups of residents
– housing developers
• General conditions
– Single time period
– One OD pair
– Fixed housing supply
• Proposition – transportation supply
– Under conditions
• (H0): One OD pair r and s, households with multiple income groups k
• (H1): One travel route p, travel time reduced by ∆t<0 with investment cost BT
• (H2): Homogenous value of time, votk=vot>0
– Any travel cost reduction due to transport infrastructure 
improvement, either in time‐based or money‐based formulation, 
will lead to an equivalent increase in land or rental value
– Consumer surplus (household)
– Housing supplier surplus 
Benefit distribution among stakeholders
• Proposition – transportation supply
– Under conditions
• (H0)‐ (H1)
• (H3): Heterogeneous value of time, vot1<vot2<…<votk
• (H4): Money‐based travel cost formulation
– Residents with higher incomes/higher values of time benefit 
more from transport improvement as compared with residents 
with lower incomes/ lower values of time
– Consumer surplus (household)     Lowest Highest
– Housing supplier surplus 
Benefit distribution among stakeholders
Benefit distribution among stakeholders
• Proposition – demand management
– Under conditions
• (H0)‐ (H1)
• (H3): Heterogeneous value of time, vot1<vot2<…<votk
• (H5): Time‐based travel cost formulation
– Residents with higher incomes/higher values of time benefit more 
from demand management, e.g. increasing link toll, as compared 
with residents with lower incomes/lower values of time
– Consumer surplus (households’)     Lowest Highest
– Housing supplier’s surplus 
• A quasi dynamic structure 
– Different time adaptabilities of sub‐systems
• Residents’ travel behavior
• Residents’ location choice
• Housing investment
• Transport/rail infrastructure investment
– Implying that given a time period τ, residents’ location and travel 
choices are made under a fixed land use and transport system
Shorter
Longer
General equilibrium formulation over time
 The problem is formulated as an equivalent Nonlinear 
Complementarity Problem (NCP)
 i.e. to find                  such that                   and 
 where,
*
0Ζ *
( ) F Ζ 0 *T *
( ) Ζ F Ζ 0
( )
,
( )
2
( )
, , , , , ,
= , ,
, ,
rsk
p m
r
k
f r s m p k
S r n
b k






 
 
  
 
 
 
Ζ
( ) ( ) ( )
, ,
( ) ( ) ( )
2
( ) / ( ) ( )
Pr , , , , , ,
( )= Pr , ,
Pr , ,
rsk rsk rsk
p m p m
r r
r k r k
r
f q r s m p k
S S r n
S H k
  
  
  



    
    
 
    
 

F Ζ
General equilibrium formulation over time
( ) ( ) ( ) ( ) ( ) ( )
( , ) ( ) ( , ) ( ) ( , ) ( ) 0T H T H T HNPV dr R R dr B B dr M M     
  
                
 Maximize social welfare (consumer and producer surpluses) 
 Optimal transport management strategies
 Transport Supply and Demand Management, 
 e.g. Rail link expansion and fare pricing
 Under a time‐dependent network following a quasi dynamic structure
 With cost recovery conditions
Producer surplus
System optimization
(τ) (τ)
a a
( ) ( )
ρ ,
Maximize SW ( , ) +rsk rsk
y
rs k
dr q CS NPV 

    
To summarize…
A general equilibrium Residents’ location and 
travel choices
System optimization
Residential location
Workplaces
Travel modes
Travel routes
Government/Planners
(Planning perspective)
TS‐DM strategies:
Network expansion and/or
Road pricing, etc.
To be decided…To achieve… Stakeholders
Housing provision Developers’ decision
•Quasi dynamic structure 
•Cost recovery constraint
•Quasi dynamic structure 
•Cost recovery constraint
Equivalent NCPEquivalent NCP
( )
,
rsk
p mf ( )
,
rsk
p mf 
( )r
S ( )r
S 
( )k
b ( )k
b 
( ) ( )
( , )a ay  
( ) ( )
( , )a ay  
(τ) (τ)
a aρ ,
Maximize SW
y(τ) (τ)
a aρ ,
Maximize SW
y
( ) 0G Ζ( ) 0G Ζ
•Stochastic bid‐rent process
•Group decision making 
mechanism
•Stochastic bid‐rent process
•Group decision making 
mechanism
Numerical example
• Network
– Two residential locations 1,2
– Two workplaces 5,6
– Seven links
New Residence 
zone
Old R. Old CBD
New CBD
2 6
3
7
6
3 4
1 5
1
4
5
2
 Demand
 Two income groups (high & low)
 Increasing population for each time interval
 Workplace choices are exogenously given
 Three time intervals τ=0, 1, 2
 Three scenarios
 Scenario 0:   Do‐nothing
 Scenario I:    Welfare maximization with TS‐DM
 Scenario II:   Welfare maximization with DM alone
• Overall system performance I
– Transport management strategies increase overall social welfare
– TS‐DM is generally better than DM alone
– (* transport investment includes both construction cost for new expansions and 
maintenance cost for all highway links)
0.0%
20.0%
40.0%
60.0%
80.0%
100.0%
120.0%
140.0%
Scenario 0 100.0% 100.0% 100.0% 0 100.0% 100.0% 100.0%
Scenario I 83.5% 107.1% 97.2% 100% 100.9% 107.8% 104.8%
Scenario II 97.4% 122.4% 98.4% 89% 96.1% 103.6% 102.2%
Travel time Travel cost
Consumers'
Surplus
Transport
investors'
profit*
Housing
developers'
profit
Producers'
surplus
Welfare
Results
0.0%
20.0%
40.0%
60.0%
80.0%
100.0%
120.0%
140.0%
Scenario 0 100.0% 100.0% 100.0% 0 100.0% 100.0% 100.0%
Scenario I 83.5% 107.1% 97.2% 100% 100.9% 107.8% 104.8%
Scenario II 97.4% 122.4% 98.4% 89% 96.1% 103.6% 102.2%
Travel time Travel cost
Consumers'
Surplus
Transport
investors'
profit*
Housing
developers'
profit
Producers'
surplus
Welfare
• Overall system performance II
– Travel time reduced through both transport strategies
– TS‐DM is better than DM alone in congestion relief
– DM alone introduces higher travel costs
– Consumer surplus reduced
Results
• Overall system performance III
– The overall producers’ surplus increased
– (Producer’s surplus = Transport investors’ + Housing developers’)
0.0%
20.0%
40.0%
60.0%
80.0%
100.0%
120.0%
140.0%
Scenario 0 100.0% 100.0% 100.0% 0 100.0% 100.0% 100.0%
Scenario I 83.5% 107.1% 97.2% 100% 100.9% 107.8% 104.8%
Scenario II 97.4% 122.4% 98.4% 89% 96.1% 103.6% 102.2%
Travel time Travel cost
Consumers'
Surplus
Transport
investors'
profit*
Housing
developers'
profit
Producers'
surplus
Welfare
Results
• Transport investment and Housing market
– Developer surplus increases monotonically with transportation 
supply due to increasing  housing rents
– Consumers may benefit or suffer from transportation supply 
depending on the tradeoff between travel cost reduction and 
increased housing rents
95%
100%
105%
110%
115%
120%
125%
0% 10% 20% 30% 40% 50% 60% 70% 80% 90%
Level of transport improvement
Performance
Housing revenue
Consumers' Surplus
Producers' surplus
Social welfare
Housing rev - Trans invest
Developer's surplus
Sensitivity analysis of transport supply
What about joint rail and property 
development? 
–To what extent one can exploit the synergy 
between rail and property developments?
• Property development brings in rail patronage, hence 
higher fare revenue
• Improved accessibility due to rail increases values of 
properties
• To what extent property value increases can be used 
to cross‐subsidize rail infrastructure development
47
Source: Ma, X. and H. Lo. 2013. On Joint Railway and Housing Development Strategy.
Transportation Research Part B, 57, 451-467. Presented at 20th International
Symposium on Traffic and Transportation Theory (ISTTT).
Joint railway and housing development
Profit function
1.2
rail( ) ( ) ( )Pr Pr
H HT T
rv rv rs v rv
H TC TO
v r rs
rv rs rv
v r
cp h
R R B B
q b B st b w
    
          
 
 
- The housing location
- The housing type
- The proportion of investing housing type in location
- The number of housing type invested in location ,
Pr
rv rv
rv
r
v
v r
v r  (Pr )
- The railway fare between
- The operational headway
- The number of trains, ( )
r
r
v
s
cp
h
rs
st st hw
w
Housing revenue Rail revenue Housing cost Rail cost
Mathematical Program with Equilibrium 
Constraints (MPEC)
1.2
Pr , ,
Maximizerv rs rs H HT T
hw cp
R R B B     
( ) 0G Z
1Pr
r v
rv
 
, ,hw h rw wh s  
, ,rs
cp c rp pc s  
s.t. Gap function for the combined
equilibrium
Joint railway and housing development
• Proposition – Effects on Residents
– The travel costs of residents monotonically increase 
with headway and fare
– Changes in railway investment, e.g. headway or fare, 
do not change residents’ consumer surplus because 
any decrease (increase) in transport cost is absorbed 
by corresponding rent increase (decrease)
– A regressive effect also prevails, high income groups 
gain more from transport service improvements
2
50
Joint railway and housing development
• Proposition – Effects on Rail + Property Developer
– Housing rents monotonically decrease with transport cost increases 
(e.g. headway and fare)
– If rail is the only transport mode, the combined producer surplus 
does not change with fare changes, due to the internal transfer 
between property and fare revenue. 
– In the presence of a multi‐modal network, the combined producer 
surplus (housing and rail) monotonically decreases with fare. 
Therefore, the joint developer has incentive to keep fare at a 
reasonably low level to maintain producer surplus at a high level, 
since gain from housing revenue offsets reduction in fare revenue
2
51
Joint railway and housing development
What about optimal housing supply: the 
perspective of developer vs residents?
Assumptions:
• (H0):  A linear network with two residential locations r connected in series to one 
central CBD. Links 1 and 2 have fixed travel time. Homogeneous housing types are 
to be developed in origin 1 and/or origin 2
• (H1): Homogeneous income class, e.g. votk = vot > 0
• (H2): Heterogeneous income class, e.g. two income class, votk1 > votk2
• Total Supply is fixed 
– 1000
52
Fig. 1 Two Residential locations Network
Source: Ng, K.F. and H. Lo. 2015. Optimal Housing Supply in a Bid-Rent Equilibrium
Framework. Transportation Research Part B, 74, 62-78.
• Under (H0) and (H1)
• Instead of placing all 1000 units in origin 1, which is closer to CBD, the
developer places 200 units in origin 2. Although origin 2 has a higher
transport cost and therefore lower rent, doing so the rent in origin 1 will be
higher as the supply there is reduced from 1000 to 800. Revenue is
maximized when the marginal effects of the two are equal.
• The exact optimal allocation depends on the difference in travel cost, or beta
• At any optimal solution, more housing should be in origin 1 than in origin 2
• Create some housing shortage in origin 1
Developer optimal housing supply strategy
• Proposition: The optimal housing supply for developer:
∗
∙
exp ∙
exp ∙ exp ∙
		 		
∗
→
53
Transport
Cost Effect
Supply
Effect
No. of housing
units
Residents optimal housing supply strategy
• Proposition: The optimal housing supply for residents:
• Under (H0) and (H1)
• Concentrated Development (all development in origin 1 or 2)
• Concentrated development pulls down the rent dramatically
• Consumer surplus is then maximized
54
No. of housing
units
∗
→ 0
To analyze the performance of housing revenue and total consumer surplus when 
housing supply in different locations change.
Assumptions:
• (H2): Two income classes: High and Low income, e.g. different vot’s and incomes
• The BPR congestion function is used to model links 1 and 2
Results:
• Vary with beta, scaling parameter, and the relative proportions of income groups 
– Case 1: small beta. Choice becomes more random
– Case 2: large beta. Choice becomes more deterministic
55
Fig. 1 Two Residential locations Network
Residents optimal housing supply strategy: 
sensitivity analysis
56
645000
647500
647500
650000
650000
650000
652500
652500
652500
655000
655000
655000
657500
657500
657500
657500
660000
660000
660000
660000
662500
662500
662500
665000
665000
667500
667500
670000
672500
The proportion of Supply in Origin 1
TheproportionofHighIncomeClassDemand
Total Housing Revenue (Large beta)
100 200 300 400 500 600 700 800 900
100
200
300
400
500
600
700
800
900
Maximum, less than 45 line
Housing Revenue
• When the number of high income
residents is high, say 700, the
optimal housing supply is to
provide housing which is slightly
less than the number of high
income resident, create shortage
for high income residents
• When the number of high income
resident is low, say 300, increasing
the housing supply will result in a
higher revenue
• Result is consistent with
Proposition 1
• It is not always good to put all
housing units in a convenient
locations, e.g. origin 1
Developer perspective (large beta)
57
13000
13000
13000
13000
13000
13000
13100
1310013100
13100
13100
13100
13100
13100
13200
13200
13200
13200
13200
13200
13200
13200
13200
13200
13300
13300
13300
13300
13300
13300
13300
13300
13400
13400
13400
13400
13400
13400
13400
13400
13500
13500
13500
13500
13500
13500
13500
13500
13600
13600
13600
13600
13600
13600
13600
13600
13700
13700
13700
13700
13800
13800
13800
13800
13900
13900
13900
14000
14000
14100
14100
14200
14200
The proportion of Supply in Origin 1
TheproportionofHighIncomeClassDemand
Total Consumer Surplus (Large beta)
100 200 300 400 500 600 700 800 900
100
200
300
400
500
600
700
800
900
Maxima at 45 line
Segregation
Total Consumer
Surplus
• The maxima occur along the 45
degree line, where the housing
supply in origin 1 equals the
number of high income residents,
or segregation of residents in
different locations
• In origin 2, the rent will not be
pulled up by the presence of high
income residents
• On the other hand, low income
residents do not need to live in
expensive housing units in origin 1
Residents’ perspective (large beta)
• Financial sustainability of rail transit services require 
accompanying transport and land use policies
– discourage car ownership, high‐density development, 
priority treatment for rail‐based public transport, inter‐
modal coordination, etc. Privatization is not a panacea. 
• Even with these policies, fare revenue alone is 
extremely difficult to achieve financial sustainability
• Exploiting the synergy between rail and property 
development is essential. 
58
Summary remarks
Summary remarks
 Transportation improvements lead to higher 
willingness‐to‐pay and hence higher location bid‐
rents. Developers always benefit from transportation 
improvements
 Under heterogeneous value of time, higher income 
groups benefit more from transport improvements, 
possibly a regressive effect.
 Pricing or demand management hurts developers, 
due to reduced willingness‐to‐pay and hence lower 
housing rents.  59
• Transportation improvements may not always benefit 
consumers, depending on the resultant location bid‐rent and 
reduced travel cost.
• A joint rail + property developer has incentive to maintain the 
rail system at low fare to achieve high producer surplus.
• It also permits cross‐subsidization between housing and 
transportation developments, which may achieve win‐win 
solutions. 
• Modeling of such joint development over time is an interesting 
and important research topic
60
Summary remarks
• Housing revenue maximization is affected by accessibility 
positively, and by supply effect negatively. 
• Under both homogeneous and heterogeneous values of 
time, revenue maximization leads to housing shortage in 
convenient locations. 
• Under heterogeneous value of time, consumer surplus 
maximization results in segregation of different income 
classes at different locations.
61
Summary remarks
• Private public partnership (PPP) for joint rail and property 
development needs to be carefully studied, especially 
under demand and finance uncertainty.
• Housing‐led versus transport‐led developments, which 
one would prevail, under what conditions.
62
Source:
• Tang, S. and H. Lo. 2010. Assessment of Public Private Partnership Models for
Mass Rail Transit - An Influence Diagram Approach. Public Transport, 2(1), 111-134.
Current studies
63
Discussion

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On joint rail and property development - opportunities + potential pitfalls

  • 2. 3 Facts and figures • Population: ~ 7 million • Total area:1104 km2, about 20% land developed • Urban density: 34,000 persons/km2 • In comparison: LA ‐ 3,144; Tokyo ‐ 7,100 • 12 million daily PT trips, ~90% of all trips • Mean journey time: 39 minutes, over 50% within 30  minutes 4
  • 3. Background • Mass transit railway services – Safe, improve mobility, avoid congestion, etc. – Ideal if financially sustainable, with affordable fares  and expedient quality – The case of Hong Kong: all rail services are provided  under prudent commercial principles, renowned for  high quality and profitability, often considered as a  benchmark for urban rail transit projects Public Transport in Hong Kong • Public Transport in HK involves a multi‐modal  network – Railways (MTR, LRT) – Franchised Buses (over 600 routes) – Red and green Minibuses (hundreds of routes) – Taxi, ferries, tram, peak Tram • All modes are financially sustainable without  direct government subsidy 6
  • 6. Supply of transit services Hong Kong London Singapore Rail car-km (million) 255 414 89 Bus vehicle-km (million) 513 450 299 Population (million) 6.9 7.4 4.2 Rail car-km per capita 37.0 56.3 21.0 Bus vehicle-km per capita 74.4 61.2 70.5 Combined rail car and bus vehicle-km per capita 111.4 117.5 91.5 % total passenger-km on mass public transit 82% 30% 47% Source: Lo, H., S. Tang and D. Z.W. Wang. 2008. Managing the Accessibility on Mass Public Transit: the Case of Hong Kong. Journal of Transport and Land Use, 1:2, 23-49. Land‐use and Transport Policy in Hong Kong 1. The policy on land development  2. The Policy of Limiting Private Car Ownership and Usage  3. The Policy of Transit Service Coordination and  Protection (1980’s)  4. The Policy of Service Proliferation and Competition  (1990’s)  5. The Policy of Service Rationalization and Consolidation  (2000’s)  12 Source: Tang, S. and H. Lo. 2008. The Impact of Public Transport Policy on the Viability and Sustainability of Mass Railway Transit – The Hong Kong Experience. Transportation Research Part A, 42, 563- 576.
  • 7. Policy on Land Development  • Scarcity of land and expanding population form a catalyst  for high density development sustaining over the years • Developments of the existing central business districts  around the Victoria Harbor generate tremendous  converging traffic demand • High‐density residential estates, or new towns, built  around railway stations form large passenger bases to  support mass transit railways and their financial  sustainability  13 14 Example: TKO new town
  • 8. 15 Example: TKO new town The total development area of TKO is about 10.05 km², with a population of around 350,000. The average density is 35,000 per km² Policy of Limiting Private Car Ownership  and Usage • Passenger car ownership: 56 per 1000 people; US: 439;  Singapore: 121; Chile: 118   (World Bank Data  2009) • New private cars are subject to the first registration tax  from 35% to 100% of the vehicle cost  • High fuel tax: Unleaded gas in Hong Kong is ~ HK$15/liter  or RMB 6/liter • Private car trips constitute 10% of total daily passenger  trips, as compared with 95% in the US. 16
  • 9. Transit service coordination and protection  (1980s) • Higher priority given to off‐street public transit • Rapid development of rail transit services, with protection  against direct competition from other modes • Allowed the creation of a win‐win situation; the Govt could  rely on the private sector to provide for services based on the  user‐pay principle without subsidy  • But later criticized as protecting the existing sizeable operators  and unable to motivate their service improvement Service proliferation and competition  (1990s) • Encourage “healthy” competition between modes – Remove the protection policy for the rail mode  – Massive expansions of both rail and bus services • This policy was initially welcome, but at the expense of: – Congestion externality – oversupply of buses on profitable  corridors – Financial difficulties for operators – the demand was spread  too thin due to oversupply of services
  • 10. Policy of service rationalization and  consolidation (2000’s)  • The Government outlined future transport strategies: (1)  better integration of transport and land use, (2) better  use of railway as the backbone, (3) better use of ITS,  etc.  • One objective was to increase rail‐based PT journeys from  33% to 40% ~ 50% in 2016.  • Plans for bus service consolidation were strongly objected  by local districts; this policy were not welcome and  resisted at every step of the way.  • In the end, once a public transport service is offered, it is  extremely difficult to consolidate its service.  19 Impacts of Transport Policies Rail and bus services supply and utilization rate 50% 100% 150% 200% 250% 300% 350% 1984: Service Coordination & Protection 1994: Service Profilation & Competition 2004: Service Rationalization & Consolidation Rail passenger trips per rail car-km Franchised bus passenger trips per bus vehicle-km Rail car-km per capita Rail passenger trips per capita Franchised bus vehicle-km per capita Franchised bus passenger trips per capita Combined rail + franchised bus passenger trips per capita Rail car-km/capita Bus veh-km/capita
  • 11. Rail transit development model in Hong Kong Property Developer Fund, build and operate the railway, and pay back dividend Define legal framework, derive policies, drive and monitor railway development, and grant land for property development Share property development profit Form joint venture to develop property Contribute to economic growth Regulate land use and town planning Railway Company Government Costs and revenues of MTR 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 11000 12000 13000 14000 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 year million Total Operating Cost after depreciation Total Operating Cost before depreciation Total Income including property profit Fare Revenue Turnover 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 11000 12000 13000 14000 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 year million Total Operating Cost after depreciation Total Operating Cost before depreciation Total Income including property profit Fare Revenue Turnover Fare Rev Op cost aft depreciation Op cost bef depreciation Total inc
  • 12. Profitability of Operators  Return rates MTR (rail): Average after  opening of the  Airport Railway  (1998 – 2006) KMB (bus): Average over  last 5 years (2002‐2006) Operating margin  before tax 6.0% 14% Operating return on  net fixed asset 0.7% 14% Total return  (including  property profit) on  net fixed asset 5.1% N/A 23 24 Comparison of Operating Costs Average operating cost (HK$) MTR (rail) KMB (bus) MTR vs KMB (rail vs bus) Before depreciation & interest • Per passenger carried (HK$) 3.8 3.8 Similar • Per space-km (HK$) 0.09 0.10 10% lower After depreciation & interest: • Per Passenger carried 7.2 4.5 60% higher • Per space-km (HK$) 0.18 0.12 50% higher
  • 13. Analysis for a more general context • To analyze transport infrastructure development strategies,  cross‐subsidization between housing market and  transportation infrastructure projects, public housing  provision, etc. • To investigate the distribution of costs and returns among  different stakeholders. • To develop an analytical framework for an integrated land  use and transport system.  • To study the impact of transport management strategies on  residential  location choices and the resultant land value.  An integrated land use and transport system…
  • 14. …modeled by an analytical framework A general equilibrium Residents’ location and travel choices System optimization Residential location Workplaces Travel modes Travel routes Government/Planners (Planning perspective) TS-DM strategies: Network expansion and/or Road pricing, etc. To be decided…To achieve… Stakeholders Housing provision Developers’ decision( )r S  r s m p ( ) ( ) ( , )  a ay ρ A general equilibrium framework – Bid‐rent Process (who to rent to and the resultant rent) • Based on residents’ willingness to pay • Auction process • Bid‐rent at different locations (expected maximum rent) – Residential location Choice (which location to rent from)  • Location choice: location accessibility, attractiveness   • Travel choice: transportation cost • Utility maximization – Developer housing supply problem • Bid‐rent at different locations • Cost of housing supply • Profit maximization 28 Sources: • Ma, X. and H. Lo. 2013. On Joint Railway and Housing Development Strategy. 20th International Symposium on Traffic and Transportation Theory (ISTTT) and Transportation Research Part B, 57, 451-467. • Ma, X., Lo, H.K., 2012. Modeling transport management and land use over time. Transportation Research Part B, 46 (6), 687-709.
  • 15. Combined Residential Location  Choice and the Bid‐rent Process 29 High Lowr1 rr s1 ss High Low WP WP WP WP High Lowr1 rr s1 ss High Low CS CS Residents’ perspective r: location r: locations: working place s: working place Landowners’ perspective Resident Demand Housing Supply • The two choice processes are proven to be consistent and produce identical allocations Bid-rent Process Residence choice Bid‐Rent Process 30 High Lowr1 rr s1 ss High Low WP WP WP WP r: location / ∙ ∑ ∑ ∙ ∙ / Willingness-to-Pay (WP): for a location r is expressed as: s: working place Landowners’ perspective : utility index by setting : Income of class k : Utility level (Non-housing spending) : Attractiveness of Housing Units, e.g. lot Size, Age, etc. : Generalized Travel Cost /Accessibility The number of resident occupied in location r: Housing Supply Resultant housing rent: is expressed as the log-sum term, adjusted by the housing supply at that location 1 ∙ / 1 Expected Maximum Willingness-to-pay Supply Effect
  • 16. Residential Location Choice • Consumer Surplus (CS): is  expressed as the difference  between resident’s  willingness‐to‐pay and the  actual rent: 31 High Lowr1 rr s1 ss High Low CS CS Residents’ perspective r: location ∙ ∑ ∙ q ∙ s: working place The number of resident choosing location r: Resident Demand / Combined Residential Location  Choice and the Bid‐rent Process 32 High Lowr1 rr s1 ss High Low WP WP WP WP High Lowr1 rr s1 ss High Low CS CS Residents’ perspectiver: location r: locations: working place s: working place ∙ ∑ ∙ q ∙ / ∙ ∑ ∑ ∙ q ∙ / Landowners’ perspective Equilibrium Condition Housing Supply Resident Demand
  • 17. Developer housing supply choice • Developers’ decision on housing provision – Under the principle of profit maximization ( )r S      22 22 ( ) ( ) 2'( ) ' exp( ) Pr , 0, 1 exp( ) r nn r r nn r R n                       2 2 2r n r n r n Hb         (0) 2( ) ( ) ( ) 2 , 0 Pr , r r r S n S S n              Following a quasi dynamic structure Profit Benefit distribution among stakeholders • The impact of transport supply and demand  management on the benefit of – heterogeneous income groups of residents – housing developers • General conditions – Single time period – One OD pair – Fixed housing supply
  • 18. • Proposition – transportation supply – Under conditions • (H0): One OD pair r and s, households with multiple income groups k • (H1): One travel route p, travel time reduced by ∆t<0 with investment cost BT • (H2): Homogenous value of time, votk=vot>0 – Any travel cost reduction due to transport infrastructure  improvement, either in time‐based or money‐based formulation,  will lead to an equivalent increase in land or rental value – Consumer surplus (household) – Housing supplier surplus  Benefit distribution among stakeholders • Proposition – transportation supply – Under conditions • (H0)‐ (H1) • (H3): Heterogeneous value of time, vot1<vot2<…<votk • (H4): Money‐based travel cost formulation – Residents with higher incomes/higher values of time benefit  more from transport improvement as compared with residents  with lower incomes/ lower values of time – Consumer surplus (household)     Lowest Highest – Housing supplier surplus  Benefit distribution among stakeholders
  • 19. Benefit distribution among stakeholders • Proposition – demand management – Under conditions • (H0)‐ (H1) • (H3): Heterogeneous value of time, vot1<vot2<…<votk • (H5): Time‐based travel cost formulation – Residents with higher incomes/higher values of time benefit more  from demand management, e.g. increasing link toll, as compared  with residents with lower incomes/lower values of time – Consumer surplus (households’)     Lowest Highest – Housing supplier’s surplus  • A quasi dynamic structure  – Different time adaptabilities of sub‐systems • Residents’ travel behavior • Residents’ location choice • Housing investment • Transport/rail infrastructure investment – Implying that given a time period τ, residents’ location and travel  choices are made under a fixed land use and transport system Shorter Longer General equilibrium formulation over time
  • 20.  The problem is formulated as an equivalent Nonlinear  Complementarity Problem (NCP)  i.e. to find                  such that                   and   where, * 0Ζ * ( ) F Ζ 0 *T * ( ) Ζ F Ζ 0 ( ) , ( ) 2 ( ) , , , , , , = , , , , rsk p m r k f r s m p k S r n b k                    Ζ ( ) ( ) ( ) , , ( ) ( ) ( ) 2 ( ) / ( ) ( ) Pr , , , , , , ( )= Pr , , Pr , , rsk rsk rsk p m p m r r r k r k r f q r s m p k S S r n S H k                                 F Ζ General equilibrium formulation over time ( ) ( ) ( ) ( ) ( ) ( ) ( , ) ( ) ( , ) ( ) ( , ) ( ) 0T H T H T HNPV dr R R dr B B dr M M                           Maximize social welfare (consumer and producer surpluses)   Optimal transport management strategies  Transport Supply and Demand Management,   e.g. Rail link expansion and fare pricing  Under a time‐dependent network following a quasi dynamic structure  With cost recovery conditions Producer surplus System optimization (τ) (τ) a a ( ) ( ) ρ , Maximize SW ( , ) +rsk rsk y rs k dr q CS NPV       
  • 21. To summarize… A general equilibrium Residents’ location and  travel choices System optimization Residential location Workplaces Travel modes Travel routes Government/Planners (Planning perspective) TS‐DM strategies: Network expansion and/or Road pricing, etc. To be decided…To achieve… Stakeholders Housing provision Developers’ decision •Quasi dynamic structure  •Cost recovery constraint •Quasi dynamic structure  •Cost recovery constraint Equivalent NCPEquivalent NCP ( ) , rsk p mf ( ) , rsk p mf  ( )r S ( )r S  ( )k b ( )k b  ( ) ( ) ( , )a ay   ( ) ( ) ( , )a ay   (τ) (τ) a aρ , Maximize SW y(τ) (τ) a aρ , Maximize SW y ( ) 0G Ζ( ) 0G Ζ •Stochastic bid‐rent process •Group decision making  mechanism •Stochastic bid‐rent process •Group decision making  mechanism Numerical example • Network – Two residential locations 1,2 – Two workplaces 5,6 – Seven links New Residence  zone Old R. Old CBD New CBD 2 6 3 7 6 3 4 1 5 1 4 5 2  Demand  Two income groups (high & low)  Increasing population for each time interval  Workplace choices are exogenously given  Three time intervals τ=0, 1, 2  Three scenarios  Scenario 0:   Do‐nothing  Scenario I:    Welfare maximization with TS‐DM  Scenario II:   Welfare maximization with DM alone
  • 22. • Overall system performance I – Transport management strategies increase overall social welfare – TS‐DM is generally better than DM alone – (* transport investment includes both construction cost for new expansions and  maintenance cost for all highway links) 0.0% 20.0% 40.0% 60.0% 80.0% 100.0% 120.0% 140.0% Scenario 0 100.0% 100.0% 100.0% 0 100.0% 100.0% 100.0% Scenario I 83.5% 107.1% 97.2% 100% 100.9% 107.8% 104.8% Scenario II 97.4% 122.4% 98.4% 89% 96.1% 103.6% 102.2% Travel time Travel cost Consumers' Surplus Transport investors' profit* Housing developers' profit Producers' surplus Welfare Results 0.0% 20.0% 40.0% 60.0% 80.0% 100.0% 120.0% 140.0% Scenario 0 100.0% 100.0% 100.0% 0 100.0% 100.0% 100.0% Scenario I 83.5% 107.1% 97.2% 100% 100.9% 107.8% 104.8% Scenario II 97.4% 122.4% 98.4% 89% 96.1% 103.6% 102.2% Travel time Travel cost Consumers' Surplus Transport investors' profit* Housing developers' profit Producers' surplus Welfare • Overall system performance II – Travel time reduced through both transport strategies – TS‐DM is better than DM alone in congestion relief – DM alone introduces higher travel costs – Consumer surplus reduced Results
  • 23. • Overall system performance III – The overall producers’ surplus increased – (Producer’s surplus = Transport investors’ + Housing developers’) 0.0% 20.0% 40.0% 60.0% 80.0% 100.0% 120.0% 140.0% Scenario 0 100.0% 100.0% 100.0% 0 100.0% 100.0% 100.0% Scenario I 83.5% 107.1% 97.2% 100% 100.9% 107.8% 104.8% Scenario II 97.4% 122.4% 98.4% 89% 96.1% 103.6% 102.2% Travel time Travel cost Consumers' Surplus Transport investors' profit* Housing developers' profit Producers' surplus Welfare Results • Transport investment and Housing market – Developer surplus increases monotonically with transportation  supply due to increasing  housing rents – Consumers may benefit or suffer from transportation supply  depending on the tradeoff between travel cost reduction and  increased housing rents 95% 100% 105% 110% 115% 120% 125% 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% Level of transport improvement Performance Housing revenue Consumers' Surplus Producers' surplus Social welfare Housing rev - Trans invest Developer's surplus Sensitivity analysis of transport supply
  • 24. What about joint rail and property  development?  –To what extent one can exploit the synergy  between rail and property developments? • Property development brings in rail patronage, hence  higher fare revenue • Improved accessibility due to rail increases values of  properties • To what extent property value increases can be used  to cross‐subsidize rail infrastructure development 47 Source: Ma, X. and H. Lo. 2013. On Joint Railway and Housing Development Strategy. Transportation Research Part B, 57, 451-467. Presented at 20th International Symposium on Traffic and Transportation Theory (ISTTT). Joint railway and housing development Profit function 1.2 rail( ) ( ) ( )Pr Pr H HT T rv rv rs v rv H TC TO v r rs rv rs rv v r cp h R R B B q b B st b w                     - The housing location - The housing type - The proportion of investing housing type in location - The number of housing type invested in location , Pr rv rv rv r v v r v r  (Pr ) - The railway fare between - The operational headway - The number of trains, ( ) r r v s cp h rs st st hw w Housing revenue Rail revenue Housing cost Rail cost
  • 25. Mathematical Program with Equilibrium  Constraints (MPEC) 1.2 Pr , , Maximizerv rs rs H HT T hw cp R R B B      ( ) 0G Z 1Pr r v rv   , ,hw h rw wh s   , ,rs cp c rp pc s   s.t. Gap function for the combined equilibrium Joint railway and housing development • Proposition – Effects on Residents – The travel costs of residents monotonically increase  with headway and fare – Changes in railway investment, e.g. headway or fare,  do not change residents’ consumer surplus because  any decrease (increase) in transport cost is absorbed  by corresponding rent increase (decrease) – A regressive effect also prevails, high income groups  gain more from transport service improvements 2 50 Joint railway and housing development
  • 26. • Proposition – Effects on Rail + Property Developer – Housing rents monotonically decrease with transport cost increases  (e.g. headway and fare) – If rail is the only transport mode, the combined producer surplus  does not change with fare changes, due to the internal transfer  between property and fare revenue.  – In the presence of a multi‐modal network, the combined producer  surplus (housing and rail) monotonically decreases with fare.  Therefore, the joint developer has incentive to keep fare at a  reasonably low level to maintain producer surplus at a high level,  since gain from housing revenue offsets reduction in fare revenue 2 51 Joint railway and housing development What about optimal housing supply: the  perspective of developer vs residents? Assumptions: • (H0):  A linear network with two residential locations r connected in series to one  central CBD. Links 1 and 2 have fixed travel time. Homogeneous housing types are  to be developed in origin 1 and/or origin 2 • (H1): Homogeneous income class, e.g. votk = vot > 0 • (H2): Heterogeneous income class, e.g. two income class, votk1 > votk2 • Total Supply is fixed  – 1000 52 Fig. 1 Two Residential locations Network Source: Ng, K.F. and H. Lo. 2015. Optimal Housing Supply in a Bid-Rent Equilibrium Framework. Transportation Research Part B, 74, 62-78.
  • 27. • Under (H0) and (H1) • Instead of placing all 1000 units in origin 1, which is closer to CBD, the developer places 200 units in origin 2. Although origin 2 has a higher transport cost and therefore lower rent, doing so the rent in origin 1 will be higher as the supply there is reduced from 1000 to 800. Revenue is maximized when the marginal effects of the two are equal. • The exact optimal allocation depends on the difference in travel cost, or beta • At any optimal solution, more housing should be in origin 1 than in origin 2 • Create some housing shortage in origin 1 Developer optimal housing supply strategy • Proposition: The optimal housing supply for developer: ∗ ∙ exp ∙ exp ∙ exp ∙ ∗ → 53 Transport Cost Effect Supply Effect No. of housing units Residents optimal housing supply strategy • Proposition: The optimal housing supply for residents: • Under (H0) and (H1) • Concentrated Development (all development in origin 1 or 2) • Concentrated development pulls down the rent dramatically • Consumer surplus is then maximized 54 No. of housing units ∗ → 0
  • 28. To analyze the performance of housing revenue and total consumer surplus when  housing supply in different locations change. Assumptions: • (H2): Two income classes: High and Low income, e.g. different vot’s and incomes • The BPR congestion function is used to model links 1 and 2 Results: • Vary with beta, scaling parameter, and the relative proportions of income groups  – Case 1: small beta. Choice becomes more random – Case 2: large beta. Choice becomes more deterministic 55 Fig. 1 Two Residential locations Network Residents optimal housing supply strategy:  sensitivity analysis 56 645000 647500 647500 650000 650000 650000 652500 652500 652500 655000 655000 655000 657500 657500 657500 657500 660000 660000 660000 660000 662500 662500 662500 665000 665000 667500 667500 670000 672500 The proportion of Supply in Origin 1 TheproportionofHighIncomeClassDemand Total Housing Revenue (Large beta) 100 200 300 400 500 600 700 800 900 100 200 300 400 500 600 700 800 900 Maximum, less than 45 line Housing Revenue • When the number of high income residents is high, say 700, the optimal housing supply is to provide housing which is slightly less than the number of high income resident, create shortage for high income residents • When the number of high income resident is low, say 300, increasing the housing supply will result in a higher revenue • Result is consistent with Proposition 1 • It is not always good to put all housing units in a convenient locations, e.g. origin 1 Developer perspective (large beta)
  • 29. 57 13000 13000 13000 13000 13000 13000 13100 1310013100 13100 13100 13100 13100 13100 13200 13200 13200 13200 13200 13200 13200 13200 13200 13200 13300 13300 13300 13300 13300 13300 13300 13300 13400 13400 13400 13400 13400 13400 13400 13400 13500 13500 13500 13500 13500 13500 13500 13500 13600 13600 13600 13600 13600 13600 13600 13600 13700 13700 13700 13700 13800 13800 13800 13800 13900 13900 13900 14000 14000 14100 14100 14200 14200 The proportion of Supply in Origin 1 TheproportionofHighIncomeClassDemand Total Consumer Surplus (Large beta) 100 200 300 400 500 600 700 800 900 100 200 300 400 500 600 700 800 900 Maxima at 45 line Segregation Total Consumer Surplus • The maxima occur along the 45 degree line, where the housing supply in origin 1 equals the number of high income residents, or segregation of residents in different locations • In origin 2, the rent will not be pulled up by the presence of high income residents • On the other hand, low income residents do not need to live in expensive housing units in origin 1 Residents’ perspective (large beta) • Financial sustainability of rail transit services require  accompanying transport and land use policies – discourage car ownership, high‐density development,  priority treatment for rail‐based public transport, inter‐ modal coordination, etc. Privatization is not a panacea.  • Even with these policies, fare revenue alone is  extremely difficult to achieve financial sustainability • Exploiting the synergy between rail and property  development is essential.  58 Summary remarks
  • 30. Summary remarks  Transportation improvements lead to higher  willingness‐to‐pay and hence higher location bid‐ rents. Developers always benefit from transportation  improvements  Under heterogeneous value of time, higher income  groups benefit more from transport improvements,  possibly a regressive effect.  Pricing or demand management hurts developers,  due to reduced willingness‐to‐pay and hence lower  housing rents.  59 • Transportation improvements may not always benefit  consumers, depending on the resultant location bid‐rent and  reduced travel cost. • A joint rail + property developer has incentive to maintain the  rail system at low fare to achieve high producer surplus. • It also permits cross‐subsidization between housing and  transportation developments, which may achieve win‐win  solutions.  • Modeling of such joint development over time is an interesting  and important research topic 60 Summary remarks
  • 31. • Housing revenue maximization is affected by accessibility  positively, and by supply effect negatively.  • Under both homogeneous and heterogeneous values of  time, revenue maximization leads to housing shortage in  convenient locations.  • Under heterogeneous value of time, consumer surplus  maximization results in segregation of different income  classes at different locations. 61 Summary remarks • Private public partnership (PPP) for joint rail and property  development needs to be carefully studied, especially  under demand and finance uncertainty. • Housing‐led versus transport‐led developments, which  one would prevail, under what conditions. 62 Source: • Tang, S. and H. Lo. 2010. Assessment of Public Private Partnership Models for Mass Rail Transit - An Influence Diagram Approach. Public Transport, 2(1), 111-134. Current studies