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- Rodney Hill
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1
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3 13.4% 43.4% 1.2% 2.8%
4
5
6 47 46, 389 = , , 556 = , , , % 31% 38%
7 = = i, j = 1,..., n C j = S s=1 C β j,s j,s β j,s > 0 s β j,s = 1. s=1 s j [ n ] σs/(σs 1) C j,s = (ψ ij C ij,s ) (σs 1)/σs. i=1 σ s > 1 s ψ ij > 0 C ij,s j i s
8 C ij,s C ij,s = ( ψij P ij,s P j,s [ n ] 1/(1 σs) P j,s (ψ ij P ij,s ) 1 σs i=1 ) σs β j,s E j P j,s, j s P ij,s i s j β j,s E j j s s j i τ ij,s 1 τ ii,s = 1 s i j P ij,s = τ ij,s P ii,s = τ ij,s w i = τ ij,s Y i /L i P ii,s = w i w i = Y i /L i Y i i L i i P ij,s = τ ij,s Y i /L i C ij,s X ij,s i j C ij,s = E j,sy i,s Y s L i Y i Ω 1 σ s j,s τ σ ij,s Φ 1 σ s i,s X ij,s = E j,sy i,s Y s Ω 1 σ s j,s τ 1 σs ij,s Φ 1 σ s i,s, Ω 1 σs j,s = i ( τij,s Φ i,s ) 1 σs Y i,s, Φ 1 σs i,s = Y s j ( τij,s Ω j,s ) 1 σs E j,s Y s. τ ij,s σ s = σ τ ij,s = τ ij C ij X ij s C ij X ij
9 τ ij,s ψ ij τ ij,s ψ ij = δ 1s ij,s eδ 2 ij +δ 3 ij +δ 4 ij +δ 5 ij +δ 6 ij, ij ij = 0 i j ij = 1 δ 2 ln ij,s ij ij = 1 i j ij = 0 ij ij ij > 99% < 1%
10
11 i j ln ij (.0465) (.0614) (.0611) (.0920) ln ij (.0425) (.0512) (.0471) (.0642) ij (.0893) (.1042) (.1126) (.1578) (.0874) (.1235) (.1044) (.1703) ij (.3112) (.1645) (.3910) (.2751) (.2374) (.1283) (.3141) (.1878) ij (.0845) (.1313) (.1025) (.1558) (.0817) (.1287) (.0943) (.1591) ij (.0896) (.1016) (.1168) (.1236) (.0885) (.0995) (.1086) (.1264) i j R p < 0.01 p < 0.05 p <
12 n = 100
13 関東 関西 東 西 関 West Japan Kansai: 24. Mie 25. Shiga 26. Kyôto 27. Ôsaka 28. Hyôgo 29. Nara 30. Wakayama Chûgoku: 31. Tottori 32. Shimane 33. Okayama 34. Hiroshima 35. Yamaguchi Shikoku: 36. Tokushima 37. Kagawa 38. Ehime 39. Kôchi Kyûshû: 40. Fukuoka 41. Saga 42. Nagasaki 43. Kumamoto 44. Ôita 45. Miyazaki 46. Kagoshima Okinawa: 47. Okinawa (not on the map) East Japan Hokkaidô: 1. Hokkaidô Tôhoku: 2. Aomori 3. Iwate 4. Miyagi 5. Akita 6. Yamagata 7. Fukushima Kantô 8. Ibaraki 9. Tochigi 10. Gumma 11. Saitama 12. Chiba 13. Tôkyô 14. Kanagawa Chûbu: 15. Niigata 16. Toyama 17. Ishikawa 18 Fukui 19. Yamanashi 20. Nagano 21. Gifu 22. Shizuoka 23. Aichi 関所
14 ˆϕ ij = ˆϕ ij = Cij C ji C ii C jj [0, 1] ϕ ij τ σ ij, τ ij = τ ji τ ii = τ jj = 1 ˆϕ ii = = 2, 209
15 C ij Ĉij X ij X ij C ij X ij Ĉ ij X ij
16 51.3% e % 20.5% 12.8% i j ij (.0487) (.1130) (.0542) (.1173) (.0619) (.1392) (.0498) ln ij (.0426) (.0599) (.0451) (.0671) (.0495) (.0760) (.0652) ij (.0895) (.1302) (.0938) (.1484) (.1059) (.1670) (.1483) ij (.2396) (.1248) (.2664) (.1617) (.3154) (.1879) (.4265) ij (.0846) (.1244) (.0862) (.1393) (.0981) (.1582) (.0618) ij (.0856) (.0972) (.0715) (.0732) (.1079) (.1265) (.1083) i j i s j s R p < 0.01 p < 0.05 p < 0.1 e e e
17 27.8% e σ 1 τ ij,s τ ij,s = 1 + ij,s ψ ij ψ ij = µ 1 ij eµ 2 ij +µ 3 ij +µ 4 ij +µ 5 ij +µ 6 ij, ij σ s 1 τ ij,s ψ ij X ij,s σ s σ
18 43.4% 19.0% 13.4% Ĉj 1 Ĉ j = ˆλ 1 σ jj λ jj X jj l X lj,s, λ jj 25.1% 7.9% 2.8% 1.7% 1.2% ˆv v /v 1.56
19 100% 90% 80% 70% 60% 50% 40% 30% 20% 10% 0% 100% 90% 80% 70% 60% 50% 40% 30% 20% 10% 0% -10% -20% -30% -40% -50% -60% -70% -80% -90% -100%
20 s σ s 1 δ 1s
21
22
23 1 100% 100% % 50%
24 e
25 = 512 中部 中 部
26 2 i j ij = ( î i î/ i ˆȷ j ˆȷ/ j θ îˆȷ) 1/θ θ = 1 î ˆȷ î ˆȷ î ˆȷ îˆȷ
27
28
29
30
31 i j CP ij 240 Iijc/ 240 Iiic [0, 1] Iijc c=1 c=1 c = 1,..., 240
32
33 = ( ) = ( ) = ( ) = ( )
34 i j ij (.0487) (.1229) (.2431) (.1713) (.4065) ln ij (.0446) (.0709) ln ij ij (.0243) (.0632) ln ij (.0429) (.0802) ln ij ij (.0281) (.0779) ij (.3409) (.3881) ij ij (.4046) (.4198) i j R p < 0.01 p < 0.05 p < = ( ) = ( )
35
36
37 ln(m ijt /L it ) = D it + D jt + α Dt ln( ijt ) + α Bt ln( ijt ) + ε ijt, M ijt /L it i j t D it D jt ijt ε ijt ijt {0, 1} α Bt 1 e α Bt
38 i j ij (.0428) (.0524) (0.0512) (.0424) (.0433) (.0524) (.0525) (.0508) (.0509) (.0418) (.0422) (.0375) (.0518) (.0512) (.0444) (.0499) (.0495) (.0427) (.0413) (.0413) (.0370) (.0505) (.0495) (.0429) (.0484) (.0475) (.0411) (.0408) (.0408) (.0367) (.0495) (.0483) (.0420) (.0474) (.0463) (.0404) (.0403) (.0404) (.0367) (.0486) (.0476) (.0416) (.0467) (.0455) (.0400) (.0400) (.0401) (.0368) (.0478) (.0470) (.0413) (.0459) (.0448) (.0397) (.0377) (.0380) (.0343) (.0434) (.0435) (.0385) (.0419) (.0418) (.0369) (.0373) (.0376) (.0340) (.0426) (.0428) (.0379) (.0411) (.0412) (.0362) (.0370) (.0373) (.0338) (.0421) (.0424) (.0374) (.0406) (.0407) (.0357) (.0368) (.0370) (.0337) (.0420) (.0423) (.0375) (.0405) (.0405) (.0356) ij ij (.0281) (.0298) (.0286) (.0280) (.0286) (.0298) (.0306) (.0286) (.0293) (.0278) (.0284) (.0254) (.0296) (.0302) (.0262) (.0284) (.0291) (.0254) (.0275) (.0280) (.0252) (.0292) (.0297) (.0258) (.0281) (.0287) (.0251) (.0273) (.0278) (.0250) (.0289) (.0294) (.0255) (.0279) (.0284) (.0250) (.0272) (.0276) (.0251) (.0286) (.0292) (.0255) (.0277) (.0282) (.0249) (.0270) (.0275) (.0251) (.0283) (.0289) (.0254) (.0275) (.0280) (.0249) (.0254) (.0261) (.0242) (.0262) (.0273) (.0242) (.0257) (.0268) (.0239) (.0253) (.0261) (.0242) (.0261) (.0272) (.0241) (.0256) (.0267) (.0238) (.0254) (.0261) (.0243) (.0260) (.0272) (.0241) (.0257) (.0267) (.0238) (.0254) (.0262) (.0244) (.0261) (.0272) (.0241) (.0257) (.0267) (.0239) p < 0.01 p < 0.05 p < 0.1
39
40
41
42
43
44
45
46
47
48 47 47 s = 1,..., 7 s = 1,..., 7 l = 1,..., 68 t = 1,..., l = 1,..., 32 s = 1,..., 7 t = 1,..., 3
49 i j ln ij ln ij ln ij ln ij ln ij ij ij ij ij ln ij ln ij ln ij ln ij ln ij ln ij ln ij ij ij ij ij ij ij ij ij ij ij ij ij ij ij ij ij i j
50 i j 1 σ s (.0508) (.0568) (.0643) (.0922) (.1133) (.1150) (.3628) (.1074) (.1780) (.1500) (.1286) (.0870) (.1081) (.1607) (.1592) (.1315) (.2003) (.1389) (.05699) (.06139) (.07943) (.2894) (.3994) (.4164) ij (0.0488) (0.0500) (0.0465) (0.0487) (0.0494) (0.0464) ln ij (0.0543) (0.0522) (0.0483) (0.0534) (0.0514) (0.0478) ij (0.0869) (0.0842) (0.0806) (0.0857) (0.0832) (0.0800) ij (0.2366) (0.2509) (0.2186) (0.2329) (0.2458) (0.2189) ij ( (0.0759) (0.0740) (0.0799) (0.0744) (0.0733) ij (0.0842) (0.0815) (0.0730) (0.0827) (0.0804) (0.0730) i s j s 10, , , , , , 590 R p < 0.01 p < 0.05 p < 0.1
51 Ĉ A j 1 σ Ĉ j
52 i j ij (.0487) (.1130) (.0542) (.1173) (.0619) (.1392) (.0498) R ij (.0544) (.0876) (.0574) (.1043) (.0640) (.1740) (.1225) R ij (.0479) (.0962) (.0593) (.1053) (.0608) (.1342) (.0754) R i j i s j s p < 0.01 p < 0.05 p < 0.1
53 i j ij (.1528) (.3819) (.3815) (.0954) (.1796) (.1021) (.1299) R ij (.1412) (.3154) (.4238) (.0833) (.1317) (.0831) (.1003) R ij (.1808) (.2670) (.2903) (.0852) (.1226) (.0921) (.0867) R i j p < 0.01 p < 0.05 p < 0.1
54 i j ij (.0858) (.2781) (.0359) (.3077) (.3112) R ij (.1653) (.1307) (.0972) (.4079) (.2284) R ij (.0457) (.0357) (.0907) (.1960) (.3395) R i s j s i s t j s t p < 0.01 p < 0.05 p < 0.1
55 i j ij (.0487) (.0557) (.0514) (.0529) (.0523) (.0535) (.0532) (.0571) ln ij (.0426) (.0294) (.0294) ln ij (.0579) (.0580) (.0525) ln ij (.0592) (.0580) (.0789) (.1640) (.5950) ij (.0895) (.0897) (.0844) (.0878) (.0841) (.0859) (.0854) (.0856) ij (.2396) (.3148) (.2661) (.3081) (.2399) (.2403) (.2919) (.2222) ij (.0846) (.0852) (.0808) (.0826) (.0801) (.0801) (.0794) (.0807) ij (.0856) (.0893) (.0834) (.0878) (.0802) (.0787) (.0858) (.0822) i j R p < 0.01 p < 0.05 p < 0.1
56 i j ij (.0487) (.1065) (.0544) (.1149) (.0479) (.0926) ln ij (.0426) (.1289) (.0476) (.1023) (.0282) (.0622) ij (.0895) (.1818) (.0854) (.1713) (.0943) (.1934) ij (.2396) (.2553) (.2464) ij (.4307) (.4191) (.3879) ij (.0846) (.2103) (.0833) (.1897) (.0873) (.2048) ij (.0856) (.1694) (.0849) (.1856) (.0806) (.1442) i j R 2 p < 0.01 p < 0.05 p < 0.1
57 i j ij (.0487) (.0479) (.0507) (.0486) (.0523) (.0484) (.0486) (.0490) (.0489) (.0523) (.0511) ln ij (.0394) (.0594) ln ij (.0377) (.0702) ln ij (.0240) (.0332) ln ij (.0066) (.0061) ln ij (.0121) (.0126) ln ij (.0082) (.0065) ij (.3719) (.3454) ij (1.5153) (1.3561) ij (.0002) (.0001) ij (.0002) (.0002) ij (.0049) (.0037) ij (4.0205) (3.4190) ij (.0439) (.0412) ij (.3436) (.4234) ln ij (.0426) (.0385) (.0399) (.0411) (.0408) (.0429) (.0428) (.0426) (.0426) (.0402) (.0375) ij (.0895) (.0810) (.0765) (.1028) (.0894) (.0905) (.0900) (.0897) (.0897) (.0853) (.0881) ij (.2396) (.1985) (.2004) (.2385) (.2514) (.2290) (.2400) (.2408) (.2399) (.2695) (.2334) ij (.0846) (.0711) (.0669) (.0779) (.0778) (.0860) (.0846) (.0848) (.0865) (.0798) (.0690) ij (.0856) (.0741) (.0780) (.0784) (.0870) (.0854) (.0858) (.0857) (.0858) (.0787) (.0754) i j R p < 0.01 p < 0.05 p < 0.1
58
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