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Proceedings in pdf format. - Sociotechnical Systems Engineering ...

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departures for 1995 are taken from the World ResourcesDatabases (WRI, 2000). There are two major problemswith this dataset. Firstly, for some countries, the reporteddata are arrivals and departures for tourism only. Forother countries, the data are arrivals and departures for allpurposes. Unfortunately, it is impossible to correct forthis. Secondly, there are miss<strong>in</strong>g observations,particularly with regard to departures.For arrivals, 181 countries have data but 26 do not.We filled the miss<strong>in</strong>g observations with a statisticalmodel, viz.,(Equation 1)−7 −3 2 −5ln A = 5.97+ 2.05⋅ 10 G + 0.22T − 7.91⋅ 10 T + 7.15⋅ 10 C + 0.80ln Yi i i i i i0.97 0.96 0.07 2.21 3.03 0.09N = =2139; Radj0.54where A denotes total arrivals, G is land area (<strong>in</strong> squarekilometres); T is annual average temperature for 1961-1990 (<strong>in</strong> degrees Celsius) averaged over the country, Ctis length of coastl<strong>in</strong>e (<strong>in</strong> kilometres), and Y is per capita<strong>in</strong>come. i <strong>in</strong>dexes the country of dest<strong>in</strong>ation. This modelis the best fit to the observations for the countries forwhich we do have data. The total number of tourists<strong>in</strong>creases from 55.2 million (observed) to 56.5 million(observed + modelled). The 26 miss<strong>in</strong>g observationsconstitute only 2% of the <strong>in</strong>ternational tourism market.For departures, the data problem is more serious: 107countries report but 99 do not; 46.5 million departuresare reported, aga<strong>in</strong>st 56.5 million arrivals, so that 18% ofall <strong>in</strong>ternational tourists have an unknown orig<strong>in</strong>. Wefilled the miss<strong>in</strong>g observations with a statistical model,viz.,(Equation 2)Di−3 2 −2ln = 1.51− 0.18Ti + 4.83⋅10 Ti − 5.56⋅ 10 Bi + 0.86lnYi − 0.23ln GiP 17.05 0.17 16.82 4.22 0.09 0.13iN = =299; Radj0.66where D denotes departures (<strong>in</strong> number), P denotespopulation (<strong>in</strong> thousands) and B is the number ofcountries with shared land borders. i <strong>in</strong>dexes the countryof orig<strong>in</strong>. This model is the best fit to the observationsfor the countries for which we do have data. This leadsto a total number of departures of 48.2 million, so wescaled up all departures by 17% so that the total numberof observed and modelled departures equals the totalnumber of observed and modelled arrivals.For most countries, the volume of domestic touristflows is derived us<strong>in</strong>g 1997 data conta<strong>in</strong>ed <strong>in</strong> theEuromonitor (2002) database. For some other countries,we rely upon alternative sources, such as nationalstatistical offices, other governmental <strong>in</strong>stitutions or tradeassociations. Data are mostly <strong>in</strong> the form of number oftrips to dest<strong>in</strong>ations beyond a non-negligible distancefrom the place of residence, and <strong>in</strong>volve at least oneovernight stay. For some countries, data <strong>in</strong> this <strong>format</strong>were not available, and we resorted to either the numberof registered guests <strong>in</strong> hotels, campsites, hostels etc., orthe ratio between the number of overnight stays and theaverage length of stay. The latter <strong>format</strong>s underestimatedomestic tourism by exclud<strong>in</strong>g trips to friends andrelatives; nevertheless, we <strong>in</strong>cluded such data forcompleteness, rely<strong>in</strong>g on the fact that dropp<strong>in</strong>g them didnot lead to any dramatic change.In general, the number of domestic tourists is less thanthe regional population. ´However <strong>in</strong> 22 countries,residents were domestic tourists more than once per year.An exam<strong>in</strong>ation of the characteristics of such countriesshows that these are <strong>in</strong> general rich countries, endowedwith plenty of opportunities for domestic tourism andlarge (or at least medium-sized). This def<strong>in</strong>ition fits <strong>in</strong>particular Scand<strong>in</strong>avian countries (e.g., 4.8 domestictourists per resident <strong>in</strong> Sweden) but also Canada,Australia, and the USA. In the USA, the comb<strong>in</strong>ation ofa large national area, a large number of tourist sites, high<strong>in</strong>come per capita contribute to expla<strong>in</strong> why, on average,an average American took a domestic holiday 3.7 times<strong>in</strong> 1997. Distance from the rest of the world is alsoimportant, and this is most probably the explanation forthe many domestic holidays <strong>in</strong> Australia and NewZealand.We filled the miss<strong>in</strong>g observations us<strong>in</strong>g tworegressions. We <strong>in</strong>terpolated total tourist numbers, D+H,where H is the number of domestic tourists, us<strong>in</strong>g(Equation 3)Di+ Hiln = − 1.67+0.93lnYiP0.83 0.10iN = R =263;adj0.60Note that (3) is not limited from above. The number oftourists may exceed the number of people, which impliesthat people take a holiday more than once a year. Notethat we measure population numbers <strong>in</strong> thousands. Theparameters imply that people with an <strong>in</strong>come of $10,000per person per year take one holiday per year.The ratio of domestic to total holidays was<strong>in</strong>terpolated us<strong>in</strong>g(Equation 4)Hi− − − −ln = − 3.75+ 0.83⋅ 10 ln Gi + 0.93⋅ 10 ln Ci + 0.16⋅10 Ti − 0.29⋅10TiD + H 1.19 0.42 0.30 0.32 1.11i−7( Yi)+ 0.16− 4.43⋅10 lnY0.12 1.24N = R =i263;adj0.36i1 1 1 3 2The <strong>in</strong>dividual temperature parameters are notstatistically significant from zero at the 5% level, butthey are jo<strong>in</strong>tly significant. “Observations” for 1995 werederived from 1997 observations by divid<strong>in</strong>g the latter bythe population and per capita <strong>in</strong>come growth between1995 and 1997, correct<strong>in</strong>g the latter for the <strong>in</strong>comeelasticity of (3) and (4). The <strong>in</strong>come elasticity ofdomestic holidays is positive for countries with low<strong>in</strong>comes but falls as <strong>in</strong>come grows and eventually goesnegative. Qualitatively, this pattern is not surpris<strong>in</strong>g. Invery poor countries, only the upper <strong>in</strong>come class haveholidays and they prefer to travel abroad, also becausedomestic holidays may be expensive too (cf. Equation 6).As a country gets richer, the middle-<strong>in</strong>come class haveholidays too, and they first prefer cheap, domesticAnnual <strong>Proceed<strong>in</strong>gs</strong> of Vidzeme University College “ICTE <strong>in</strong> Regional Development”, 2006105

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