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1 Duranton-Overman (RES05)K 176,106 UK (SIC) cf. (e.g., Ellison-Glaeser, 97; Mori et al., 05)
2 K K(d) = 1 n(n 1)h n 1 i=1 n j=i+1 f d di,j h i,j d 2 0 K(x)dx =1 n(n 1) 2 f(u) = 1 2π exp u = d d i,j h u2 2 h 1/h
3 Ellison-Glaeser
4 41 (a) Basic pharmaceuticals (SIC 2441) (b) Pharmaceutical preparations (SIC2442) 5
5 42 (c) Other agricultural and forestry machinery (SIC2932) (d) Machinery for textile, apparel and leather production (SIC2954) 6
6 (a) Basic pharmaceuticals (SIC 2441) (b) Pharmaceutical preparation K(d) K(d) K(d) K(d) Distance (km) K(d) Distance (km) 95% K(d), K(d) 95% K(d), K(d)
7 90% d K 90 K(d) d K5 K(d) d K5 90% d [0,180km]K 90 5K d [0, 180km] s.t. K rand (d) > K(d) d [0, 180km] s.t. K rand (d) <K(d)
8 (a) Basic pharmaceuticals (SIC 2441) (b) Pharmace Distance (km) D
9 IC 2441) (b) Pharmaceutical preparations (SIC2442) i.e., Distance (km)
10 (c) Other agricultural and forestry machinery (SIC2932) Even though South-East region has
11 (d) Machinery for textile, apparel and leather production (SIC2954) 2
12 K
13 Γ i (d) = max Ki (d) K(d), 0 ID Ψ i (d) = max K(d) K i (d), 0 0 otherwise i.e., if Γ i (x)dx =0 d Γ(d) = i Ψ(d) = i Γ i (d) Ψ i (d)
14 # Γ local (d) > 0 # Ψ local (d) > Distance (km) (c) Local localization Distance (km) (d) Local dispersion
15 # Γ global (d) > # Ψ global (d) > Distance (km) (a) Global localization Distance (km) (b) Global dispersion 1 vs 2
16 km Distance (km) (a) Global localization Distance (km) (b) Global dispersion F 8
17 Γ(d)
18 52% 4 Γ i = Γ i (x)dx Ψ i = Ψ i (x)dx
19 TABLE 2 Most localized and most dispersed four-digit industries SIC92 Industry or Most localized 2214 Publishing of sound recordings Preparation and spinning of cotton-type fibres Reproduction of sound recordings Manufacture of knitted and crocheted fabrics Preparation and spinning of worsted-type fibres Manufacture of cutlery Manufacture of knitted and crocheted hosiery Manufacture of leather clothes Manufacture of other outerwear Publishing of books Most dispersed 1520 Processing and preserving of fish and fish products Building and repairing of ships Manufacture of bread, fresh pastry goods and cakes Saw milling and planing of wood, impregnation of wood Other agricultural and forestry machinery Operation of dairies and cheese making Manufacture of cordage, rope, twine and netting Manufacture of mattresses Manufacture of prepared feeds for farm animals Manufacture of builders carpentry and joinery 0 047
20 K K emp (d) = n 1 i=1 i n j=i+1 e(i)e(j)f d di,j h h n 1 i=1 n j=i+1 e(i)e(j) 43%vs 52%
21 1 vs # {Γ emp (d) > 0} Distance (km) (a) Number of localized industries Γ emp (d) Distance (km) (b) (b) Index of global localization FIGURE 7 Global localization when weighting establishments by their employment
22 K K (A,B) (d) = 1 P (n A,n B ) n A i=1 n A (1 n A )/2 n A n B n B j=1,j=i f d dij h Γ (A,B) (d) = max K(A,B) (d) K (A,B) (d), 0 A B
23 # Γ (A,B) (d) > 0
24 Duranton-Overman (JRS08) K(d) = 1 nmh n i=1 m j=1 f d dij h vs vs vs vs
25 vs before a er
26 { vs vs
27 vs 203 UK (13%) { 24(12%) 5% 5% Fig.3 (a) Global Localization (b) Global Dispersion
28 vs 203 UK4 { 18(9%) 10 41(20%) e.g., Fig.4 (a) Global Colocalization (b) Global Codispersion
29 vs 206 UK410 36(17%) { 29(14%) 0.27
30 Duranton-Overman (05)
31 vs
32 vs 213 UK (71%) { 23(11%) e.g., Fig.6 (a) Global Localization (b) Global Dispersion
33 vs 213 UK (32%) { 35(16%) 52 (24%) { 66(31%)
34 106 UK (10%) { 24(23%) Fig. 7 (a) Global Localization (b) Global Dispersion
35 10% 172 UK4 10% (53%) { 26(15%) Fig. 8 (a) Global Colocalization (b) Global Codispersion
36 25% 211 UK4 25% (57%) { 24(11%) Fig. 9 (a) Global Colocalization (b) Global Codispersion
37 10% 89 UK4 10% (46%) { 29(15%) 99 UK4 25% (46%) { 37(17%) Fig. 10 (a) Global Colocalization (b) Global Codispersion
38 % %
39 149 (52%) { 113(40%) Fig. 12 (a) Global Colocalization (b) Global Codispersion
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