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The Limits of Mathematics and NP Estimation in ... - Chichilnisky

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Us<strong>in</strong>g the SUR Model <strong>of</strong> Tourism Dem<strong>and</strong> for Neighbour<strong>in</strong>g Regions <strong>in</strong> Sweden <strong>and</strong> Norway 109level (price <strong>of</strong> tourism <strong>in</strong> Sweden relative to Norway) causes more than 1% fall <strong>in</strong> touristarrivals from Japan <strong>and</strong> Switzerl<strong>and</strong>. <strong>The</strong>se estimates <strong>in</strong>dicate that tourist arrivals <strong>in</strong> Swedenfrom these countries are elastic with respect to the relative price variable. This implies thatSweden must ma<strong>in</strong>ta<strong>in</strong> its <strong>in</strong>ternational price competitiveness to ma<strong>in</strong>ta<strong>in</strong> high growth <strong>in</strong>tourist <strong>in</strong>flow. <strong>The</strong> estimated relative price level elasticity ranges from 0.2% to 0.8% <strong>and</strong> isless than one for Denmark <strong>and</strong> the US. <strong>The</strong>se suggest that a 1% <strong>in</strong>crease <strong>in</strong> the relative priceresults <strong>in</strong> a 0.2% <strong>and</strong> 0.1% decrease <strong>in</strong> tourist arrivals to SW6 from Denmark <strong>and</strong> the US,respectively. <strong>The</strong> low exchange rate elasticity for Japan, UK <strong>and</strong> the US may also be areflection <strong>of</strong> the depreciation <strong>of</strong> the Swedish krona aga<strong>in</strong>st the Japanese yen <strong>and</strong> US dollar.As expected, the estimated elasticities <strong>of</strong> CPI SW for the UK <strong>and</strong> Switzerl<strong>and</strong> are positive.Parameters Denmark UK Switzerl<strong>and</strong> Japan USConstant 1.848 (0.034) -2.235 (0.093) 643 (0.784 ) -1.964 (0.260) 2.337 (0.110)CPI -0.511 (0.256) 2.284 (0.001) 2.601 (0.000) 0.820 (0.272) –0.5252 (0.373)Ex 0.241 (0.685 ) –0.665 (0.048) -1.395 (0.092) – 0.463(0.121) 0.118 (0.579)Rp 0.204 ( 0.729) –1.375 (0.019) -1.615 (0.013) –0.994 (0.176) –0.5272 (0.365)D1 0.098 (0.056)D2 0.1549 (0.000) 0.122 (0.042)D3 0.158 (0.002) 0.210 (0.000) 0.161 (0.004)D4 –0.476 (0.000) 4D5 –0.135 (0.018) 0.495 (0.000) –0.161 (0.025) 0.357 (0.000)D6 0.308 (0.000) 0.473 (0.000) 1.334 (0.000) 0.235 (0.000) 0.487 (0.000)D7 0.265 (0.000) 0.443 (0.000) 1.334 (0.000) 0.441 (0.000)D8 0.721 (0.000) 0.419 (0.000)D9 –0.227 (0.000) 0.220 (0.001)D10 –0.331 (0.000) –0.284 (0.000) 0.172 (0.002)D11 –0.2136 (0.000)Y (t–1) 0.212 (0.000) 0.0137 (0.789) 0.1768 (0.000) 0.430 (0.000) 0.334 (0.000)Y (t–2) –0.157 (0.016)Y (t–3) –0.135 (0.001)Y (t–6) –0.116 (0.002) –0.183 (0.000)Y (t–7) 0.144 (0.000)Y (t–9) –0.127 (0.005)Y (t–10) –0.129 (0.002)Y (t–11) 0.278 (0.000) 0.187 (0.000) 4Y (t–12) 0.363 (0.000) 0.309 (0.000) 0.263 (0.000) 0.269 (0.000)R 2 0.924 0.793 0.950 0.808 0.850<strong>The</strong> non significant results erased from the Table.Table 3. ISUR estimation results for NorwayIn the case <strong>of</strong> the UK, we f<strong>in</strong>d that all dummies are significant, <strong>in</strong>dicat<strong>in</strong>g clear seasonality <strong>in</strong>the dem<strong>and</strong> for tourism. <strong>The</strong> dem<strong>and</strong> <strong>in</strong> December is the highest for the year. we also f<strong>in</strong>dlags 4 <strong>and</strong> 12 are statistically significant. Note that the sign <strong>of</strong> lag 4 is negative while it islarger <strong>and</strong> positive for lags 11 <strong>and</strong> 12. For Switzerl<strong>and</strong>, only the summer dummies are large,

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