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Chapter 10 Dynamics, growth and geography
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Long term equilibrium adjustment: dλ i /λ i = η(w i – ω) Value of η sets the speed of adjustment but in general does not have an effect on the outcome Exceptions: – overshooting – unstable equilibrium – not the “nearest” equilibrium is reached
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Figure 10.1 Regular adjustment dynamics
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Figure 10.2 Special adjustment dynamics (along vertical axis, ; horizontal axis, number of reallocations)
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Figure 10.2 Special adjustment dynamics (along vertical axis, ; horizontal axis, number of reallocations)
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Figure 10.2 Special adjustment dynamics (along vertical axis, ; horizontal axis, number of reallocations)
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Can growth periods be simulated? Convergence/divergence Different for countries/regions Convergence/divergence speed different in different periods
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Figure 10.3 Histogram of per capita income, selected years
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Figure 10.4 Regional convergence in the EU, speed of convergence estimates
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Figure 10.5 Regional income inequality in the EU: Lorenz curves
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EU 1995-2001
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Between-country inequality –Assuming equal gdp/cap inside each country Within-country inequality –Assuming equal national gdp/cap worldwide
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Figure 10.6 Regional income inequality in the EU: Theil index and Gini coefficient
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Figure 10.7 Leaders and laggards in the world economy, 1-2003 10001150016001800170020001900 0 100 200 300 500 400 income per capita (% of world average) year Italy Iraq Iran Netherlands UK Australia USA Switzerland India China oAfrica W Offshoots New Zealand Australia Many Italy
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To be explained 1.For almost all countries even increasing level of income 2.Differences between countries may persist for a long time 3.Long periods of stagnation can be followed by long periodes of growth 4.Frequent changes in economic ranking (leap- frogging)
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Theories Endogenous growth Y = A f (K,L) Total factor productivity A as a function of K or L can explain (1) In a closed model A can be structurally different per country: can explain (2) (3) and (4) cannot be explained by endogenous growth theory Need for geographical economics
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T 0 1 0,5 λ1λ1 Fig 4.10 The bell-shaped curve Unstable equilibria Stable equilibria VL model: with lowering T from dispersion to agglomeration to dispersion Very simple explanation of (3) Recall Krugman & Venables (1995)
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Simulations of (3) and (4) Using the 24 region racetrack model with congestion, unchanged ε=5, δ=0.6, τ=0.05 Simulating a change in transport costs over time Some random initial distribution (history) Find long term equilibirum with T =3, then decreasing Herfindahl index H=Σλ i 2
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Figure 10.8 Distribution of manufacturing and Herfindahl index
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Figure 10.9 Evolution of agglomeration, the Herfindahl index
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Figure 10.10 Several phases of the reallocation process
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H does not tell anything about “spikes”
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Figure 10.11 Dynamics of regional size; regions 3, 6, and 9
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Combine agglomeration and growth Baldwin & Forslid (2000) Extend the CP model with capital K produced by sector In (investment sector) With global knowledge spill-overs location of In does not matter With local knowledge spill-overs location of In does matter High policy relevance: many governments stimulate knowledge flows to periphery with universities/high-tech industrial parks etc.
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Baldwin & Martin (2004) Cost function M sector: R + Wβx i K is produced under perfect competition with only variable labor α I under knowledge spill-overs: α I falls with rising output Q k =L I / α I α I = 1 / [ K -1 + κ K* -1 ] With Q k = flow of new capital L I = employment in investment sector K = stock of knowledge (*= other region) κ = parameter degree of spillovers (capital depreciates in one period)
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Intertemporal utility U = Σ t (1/1+θ) t [ln (F t 1-δ M t δ )] See box 10.1 Mobility related to difference in present value of real wages in each region
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Main results For two region model only spreading and complete agglomeration into one region are stable long-term equilibria -> same as in CP model with increasing κ more stable equilibria possible
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Figure 10.12 Stability in the Baldwin-Forslid economic growth model
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"deep determinants of growth" growth different because A is localized, but: why is A localized? institutions (table 10.4) relevant again the discussion on first nature returns –climate, land-locked –tropical diseases (Sachs) missing: second nature: the role of geography relative to other geographies –spatial autocorrelation (first block of the course by Paul Elhorst) –spatial autocorrelation of institutions?
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Figure 10.13 Scatterplot of own and neighboring institutions
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Conclusions (p451) Integrated endogenous growth/geographical economic models can deal with (1)-(4) but –do not pay attention to deep determinants of differentiated growth models that do take account of deep determinants ignore second nature/spatial interdependence long term history and path-dependence (box 10.2) –country borders change over time –cities do not: research more promising needed: integration of deep determinants, history and second nature geography
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