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The Grand Paris Express project: theoretical and practical issues
André de Palma, ENS-Cachan, University Paris-Saclay
“Logistics and Maritime Studies on One Belt One Road” Conference - The Hong Kong Polytechnic University
Hong Kong, May 10-11, 2016
OUTLINE Introduction, and setting End of space?What are agglomeration benefits?
FindingsGeneral equilibrium approach Grand Paris ExpressUrbanSim / Metropolis tools LimitationsReferences
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Issues (extended list) What is Grand Paris Express? Which costs are involved; how are they covered? What are the benefits, and how could they be
measured? What are the equity issues: within Paris/France What are the implementation phrases? What are the local/(inter)national dimension?UrbanSim: Partial equilibrium modelMetropolis: Dynamic model
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INTRODUCTION AND SETTING
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Modelling
Spontaneous/induced spatial organization Modelling approaches so far in…◦ Physics◦ Geography◦ Regional science◦ Transportation◦ New Economic Geography.
Here: Combination of economic, OR, econometric, planning tools, political economy
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Academic objectives
Explain how the evolution of a city (Here Paris area, 11 million inhabitants) can be modelled?
Special focus on agglomeration benefits.
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Background about 3 major citiesParis London New York
GNP 588 505 960
GNP (per head) 49 800 38 200 43 600
Population 11.8 13.2 22
Gini 0.35 0.45 0.50
Employment 6.0 6.2 8.7
Research 146 000 50 000 130 000
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2010 Data from AT Kearney Global Cities Index, 2014 in Le grand Paris Express: Investissement pour le XXI sciècle, SGP
Can we make predictions and evaluate costs and benefits over the life span of a large scale project ?
Role of large Metropolitan area Paris area (10 millions) produces 30 % of
French GNP, but get 22% of disposable income Great London (9 millions) produces 23% of UK
GNP, but get 17% of disposable income. Brussels Region produces 21% of Belgian GNP,
but get 10% of Belgian disposable income. Resources generated by large cities are redistributedDifficulty to define boundary: the legal boundary of IDF (8 millions inhabitants), the geographical frontier (at least 1/3 commuters): > 14 millions!
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END OF SPACE?
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Technology suggests
Transport costs have decreased historically:Some authors argue that space does not matter, and so just local amenities play a role in structuring the space.
Is that true?
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Distribution of Facebook contacts with distanceGoldenberg J. and M Levy (2009) Distance is not dead: Social interaction and geographical distance in the internet era.
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Distribution of Email with distances
Goldenberg & Levy (2009)
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Impact of space on trade: CEPII, 2009
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Trade : Space has not disappeared
French trade has increased with China, but even more with Germany!
Accessibility matters and space still matters
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about (slighty higher than) 1
r sRS
Y YX Gd
WHAT ARE AGGLOMERATION BENEFITS? THEIR MEASURE
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Definition of Agglomeration economiesA. Smith & A. Marshall: firms and workers are, on average, more productive in larger cities
Graham approach in the UK
E. Glaeser: “Agglomeration economies are the benefits that come when firms and people locate near one another together in cities and industrial clusters.”Paris Sacalay
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Typology of agglomeration benefits Reduced transportation costs◦ inputs: raw material / suppliers / subcontractors◦ outputs: other companies, consumers
Sharing infrastructure, amenities local public goods
Sharing experience, learning Better matching on the job market; division of
labor, specialization, reduced friction, face-to-face Dissemination of knowledge and innovations;
radical innovations: new technologies Headquarter near government, lobbies
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Typology of agglomeration diseconomies
Exacerbated competition in the markets for goods, labor, customers◦ Rising production costs, wages, land rent
Systemic risk in sectoral group (diversification)◦ E.g. Textile and steel industry in the North of France
Congestion in transport, ubiquitous queues Rental or purchase prices of offices and
housing units raises with demand Pollution, degradation of the living environment Diseconomies of scale: Bell function with
agglom. Size: Optimal city size
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2 difficulties when measuring agglomeration benefits:
Correcting for selection biases 1
Disentangling different sources of agglomeration benefit 2
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1. Correction of selection biases Most productive workers choose to work in
most dense areas [Only the most productive firms survive in
dense areas] Productivity gains due to agglomeration
effects :…
◦ Is not the difference of productivity between 2 workers who decided to work in different places, ◦ but it is measured by the difference of productivity
of the same worker who change work location Panel data are needed to correct the
permanent effect of the workers
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Correction of selection bias using individual data (panel)
Selection bias generally lead to over-estimate the agglomeration benefits: ◦ typically 20% of over-estimation◦ more than 50% with better econometric
techniques
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2. Difficulty to empirically disentangle different sources of agglomeration
Difficulty to separately quantify the impacts of different sources such as:◦ Wages ◦ Local growth◦ Local employment and unemployment◦ Random event, chances, black swans.
Need to do a structural modelParis Sacalay
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Some orders of magnitude (literature)
Doubling density increases productivity and wages by 1.4% to 2.5%
Composition of the local workforce explains 50 % of agglomeration benefits ! Should subtract > 20% for endogeneity
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5 FINDINGS (AGGLO-MERATION BENEFITS)
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Finding 1: Business & workers are on average more productive in large cities "Universal" phenomenon? "Qualitatively: yes! This relationship is
observed in many countries at different periods
“Quantitatively”: no!
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Finding 2 : Who benefits from agglomeration economies? The most innovative sectors The most productive firms The largest firms (>100 workers) The most educated workers The top managers [Inequality issues]
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Finding 2’: Sectorial differences
Combes et al (2011) for period 1860-2000 compute the elasticity of productivity to population density◦ - 11% for the agricultural sector◦ +13% for industry◦ +7% for services
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Finding 3: By how much ?
Elasticity of productivity to density is between 2% and 8%. Depends on:◦ location◦ sectors◦ qualification◦ + methodology used!
Combes, Gobillon (2014) : 3% to 7%
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Finding 3’: French empirical results
Relation between density and productivity
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Relation between log-productivity and log-density in the French Regions: Combes et al. 2012.
Finding 4: Why ? (summary)
Concentration of firms and population in cities :
◦ … decreases transport costs (inputs et outputs)◦ … favours interactions, which increase
productivity ◦ … favours sharing the experiences, the
innovations◦ … improves matching between firms and workers ◦ … triggers competition between firms,…but
Selection biasParis Sacalay
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Finding 5: How does one measure productivity ? Accounting of the firms (?), Production functions (?),… Better measure: Wages: Wage = marginal productivity (theory),
but…Rigidity of wages, minimum wage
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GENERAL EQUILIBRIUM ANALYSIS
A. de Palma and Jean Mercenier
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Why GE model
Hypothesis at a more fundamental level: e.g. cost elasticity to transport.
Consistent estimates: e.g. no need for exogenous value of the marginal cost of public funds, etc.
Suited to study the range of impacts of a policy (e.g.) toll pricing.
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Setting: residence, manufacturers, warehouse/delivery via Internet, malls
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Impact of a supply shock on the commuting route in GE
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[Quantitative analysis]
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GRAND PARIS EXPRESS
37
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Objectives of Grand Paris Express
Develop an ambitious 200Km network of automatic public transport around Paris (4 lines, 72 stations) to: Promote 21 development clusters (CDT: “Contrat de
Développement Territorial”) Polycentric city (Limit urban Sprawl) Reduce congestion on existing public (private) network Generate agglomeration effects (at different scales)◦ 685 000 jobs (do nothing), with 115 000 additional jobs
created by the Grand Paris by 2030◦ Concentration of jobs in dense zones
Investment of more than 35 billion € (2020-2030)
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20 employment zones with their current density
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What is Grand Paris ? (21 CDT)
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What is Grand Paris ? (CDT), cont’
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“Schéma de développement territorial” Paris-Saclay
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+ Fully automated and connected+ Higher frequency of service, + Inter-modality with the existing network - No pricing strategies so far
43
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Number of trains [H] /one directionPrediction used
CDT &Grand Paris Express network
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Timing of the operation
45Paris Sacalay
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2010 present value of the socio‐economic advantages (CGI estimates)
Scenario of the main project
2010 Present Value in 2010 billion € Reference trendPessimistic
trend
Transport effects 17.7 17.5Regularity 3.5 3.4Comfort 1.6 1.5
Environmental and urban benefits 11.9 11.3
Directs relocation impacts 9.0 7.5Agglomeration effects 6.0 5.8Valuation of new jobs 10.3 10.3
Total Advantages 59.9 57.3
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URBANSIM & METROPOLIS TOOLS
A. de Palma, Nathalie Picard,
Yurii Nesterov, Paul Waddell
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Need for LUTI models. What are they?
LUTI: required in US for CBA of large infrastructures.
Elasticities are useful, but incomplete local measures (necessary step): location of firms and households, explain agglomeration benefits.
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No
Modeling agglomeration effect in UrbanSim + METROPOLIS
Importance of firmography: the closeness of complementary jobs favors … The creation of new firms and relocation The survival of existent firms The development of existing firms
Snow ball effects triggered by transport
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Interactions modeled in UrbanSim
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Land development& infrastructure
model
Real estate pricemodel
Job location model
Household location model
Demographicmodel
TransportmodelSocial, economic
& environmentalindicators
Environmentalquality
indicators
Social indicators
(inequalities)
Pollution & economicindicatorsPollution & social
indicators
Accessibilityto jobsRegional
attractivity Control totals
OD matrix OD matrix
OD matrix Accessibility
to HH
Accessibilities
Demand for offices
Supply for offices
Slow, constrainedand partial
adjustment of housing supply
Capacityconstraints reduce
choice setDemandincreases
price
Transport infrastructures
Adjustment of supply of offices constrained by
policies
Price-elasticity to
locationPrice-
elasticityto location
Wage-earners, consumers
Home to work trip
METROPOLIS
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The main link between US & METRO
Accessibility measure (better than connectivity):◦ Definition: welfare measure◦ Need for heterogeneity ◦ Useful to explain wage, residential location, work
location, …
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Four-steps decision tree
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Mode choice
Destination
Decision to make a trip
Long term choiceshh & job location,
car ownership
Origin,constraint, purpose,timing
D1
Motorized
PC PT
Other = OT(2 wheel, walking)
D2
No tripAttraction & Emission
Retour
Log-sum mode
Log-sum per O & par D
Prédited by UrbanSim
Population 2005–2050 (%) in the extended CBD
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Sectors1. Agriculture2. Industry3. Construction4. Business5. Transport6. Financial activities7. Real estate activities8. Business services to firms9. Personal services10. Education. Health. Social actions11. Administration
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Next table: empirical measures of elasticities Elasticities of #jobs in Sector i at time t, wrt
#jobs in Sector j at time t-1. Last line: partial derivative of log(Jobs in
Sector i at time t) w.r.t. density of population at time t-1.
These figures are used to explain why jobs agglomerate over time: US+METRO produce dynamics of agglomeration benefits
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Elasticities of #jobs in i to #jobs in j
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i \ j 1 2 3 4 5 6 7 8 9 10 11
12 ‐1.87 0.42 ‐0.68 ‐1.57 0.30 ‐0.123 1.93 0.16 2.76 0.37 0.23 0.164 2.73 0.51 0.67 2.38 0.555 ‐0.85 0.06 3.00 ‐0.516 0.00 2.54 ‐0.24 0.467 3.00 0.50 ‐0.698 ‐0.94 0.35 0.64 1.539 ‐1.20 0.56 0.91 0.8110 3.00 3.0011 ‐1.45 0.67Pop ‐0.03 0.06 0.05 0.05 0.04 0.06 0.04 0.06 0.03 0.03
Empirical measure of agglomeration effects in UrbanSim-METROPOLIS Particularly strong synergies within◦ Construction (3)◦ Business (4)◦ Transportation (5)◦ Finance (6)
Positive synergies :◦ Business on industry (2), construction (3) and finance (6) ◦ Business services to firms (8) on real estate (7)
Negative synergies (non-symmetric examples)◦ From real estate (7) to business services to firms (8)◦ From industry (2) to business services to firms (8)
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Firmographics structural models
Logit / Probit transition probabilities: Creation and destruction of firms.
Location of newly created firms: MNL Relocation is equivalent to death and birth
(and location) Jobs growing / shrinking or stable in firms Model of disequilibrium (supply and
demand): rental prices do not necessarily clear the market.
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Expected benefit of the Grand Paris Express: URBANSIM & METROPOLIS Anticipated agglomeration benefits computed
from US+METRO outputs with different Pop&Jobs scenarios : NPV: 6 to 10 billion €This corresponds an elasticity of 5% for agglomeration benefits (5% discount rate) [Matthew Turner]
80 % of the new jobs will concentrate in dense zone (trend growth + induced jobs)Less than 60 % without Grand Paris Express
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LIMITATIONS
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Limitations of the current literature Elasticity should a local (not global) measure Density is a1st-order aggregate explanatory
variable Develop a structural model based on
accessibility (not on densities)? Distance should play + or - in accessibility?
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Limitations of the current literature Engine is missing (Lowry model) currently, but:◦ Jobs and Population are endogenous in the CBA◦ Non-linearity (bifurcation) matters in the long-run
GE & LUTI models are needed. Current tools implicitly incorporate agglomeration benefits
New technologies matter: ◦ Supply (Automated car, telemedicine, robots, etc.)◦ Demand (Teleworking, teleshopping, MOOC, ..)
Big Data: The end of modelling?
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Thanks for your attention
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REFERENCES
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Selected referencesHistorySmith (1776). An inquiry into the nature and causes of the wealth of nations
Marshall, A. (1890). Principles of Economics
TheoryFujita et Thisse (2013). Economics of Agglomeration: Cities, Industrial Location, and Globalization? Cambridge Uni. Press
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Selected references Agglomeration effect & transportationVenables (2007). Evaluating Urban Transport Improvements: Cost-Benefit Analysis in the Presence of Agglomeration and Income Taxation Journal of Transport Economics and Policy
Mackie, Graham and Laird (2011), The direct and wider impacts of transport projects: a review, in A Handbook of Transport Economics, de Palma, Lindsey, Quinet, et Vickerman Eds.
Glaeser, Joshua, Gottlieb (2009). "The Wealth of Cities: Agglomeration Economies and Spatial Equilibrium in the United States"Paris Sacalay
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Selected references
Empirical studiesCombes, Duranton, Gobillon, Puga and Roux (2012). The productivity advantages of large cities: Distinguishing agglomeration from firm selection, Econometrica
Combes, P-P. and L. Gobillon (2014) The Empirics of Agglomeration Economies, ISA DP 8508
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Selected references SurveysMelo, Graham and Noland (2009). A metaanalysis of estimates of urban agglomeration economies. Regional Science and Urban EconomicsRosenthal and Strange (2004). Evidence on the nature and sources of agglomeration economies. In Henderson et Thisse (eds.) Handbook of Regional and Urban EconomicsLUTI MODELSBierlaire, M., A. de Palma, R Hurtubia & P. Waddell (eds.) 2015, Integrated transport and land use modeling for sustainable cities. Routledge and EPFL Press.
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