ABSTRACT. Armenia has great opportunities and resources for tourism development. In 2021, the number of domestic tourists in Armenia was 1595826, an increase of 52.6% compared to 2020. In 2022, the number of domestic tourists was higher than in previous years - 1929940. The article evaluates the factors which influence domestic tourism demand with the use of ordinary and weighted least squares regression models. The main variables discussed in the models are: real GDP growth rate, consumer price index, average cost of tour packages from Armenia to other countries that can be considered as an alternative to domestic tourism, and dummy variables. The time series are based on quarterly data from 2005-2021. According to the analysis results, 1% increase in GDP will lead to a 0.22% increase in the number of domestic tourists, 1% increase in prices will lead to a decrease in the number of domestic tourists by about 0.12%, and 1% increase in foreign tour package prices will increase the number of domestic tourists by about 0.14%. The article also presents some suggestions for domestic tourism development in Armenia. The results may be useful for similar studies, as well as for state and private sectors conducting forecasts, planning, etc.
JEL Classification: Z32, L83, C53
Keywords: domestic tourism, OLS and WLS, Breusch-Pagan heteroskedasticity test, Breusch-Godfrey LM test, Cochrane-Orcutt regression, Republic of Armenia
Received: May, 2022
1st Revision: March, 2023
Accepted: June, 2023
(ProQuest: ... denotes formulae omitted.)
Introduction
Tourism plays a significant role in the economic development of countries. During the Covid-19 pandemic the sphere suffered a lot due to international travel restrictions. Many tourists started to travel within their own countries as an alternative to international tourism.
Tourism is one of the major fields of economy in the Republic of Armenia (RA). Armenia has great opportunities and considerable tourism resources, which can be the basis for the development of religious, historical and cultural, health, eco, agro, gastronomic and wine, sports and adventure types of tourism in the country.
In recent years tourism has been growing in Armenia (Tovmasyan, 2020, 2022a). The number of incoming and domestic tourists has risen. In 2019, the number of domestic tourists in Armenia was 1544600, having increased by 41.4% compared to the previous year. The purpose of travel for the majority of domestic tourists was leisure and entertainment (72%). In 2020, due to the Covid-19 pandemic, the number of domestic tourists decreased by about 33% compared to the previous year, amounting to 1045756 people.
In 2021, the number of domestic tourists increased by 52.6% compared to 2020, and by 3.3% compared to 2019. This increase was due to the closed borders and international travel restrictions imposed in many countries because of Covid-19, and many tourists, who could not go abroad, deciding to take a holiday domestically.
In 2022, the Covid-19 was not over yet. Although some countries eased entry requirements, in other countries the virus had a resurgence. During 2022, the number of domestic tourists increased significantly and was higher than in previous years, even before Covid-19. This means that people continued to have vacations inside the country during 2022.
Currently, as the Covid-19 pandemic is not over yet, some countries have restrictions for Chinese tourists as recently there was a boost of pandemic in China. Therefore, we can assume that in future there may be international travel restrictions again. Under such conditions every country tries to develop domestic tourism. Hence, it is essencial to analyze factors that influence domestic tourism development in Armenia and to explore solutions for it.
The aim of this article is to detect domestic tourism advancement issues in Armenia by revealing and evaluating the factors that influence domestic tourism demand. For that purpose, literature sources were analyzed and forecasts for domestic tourism in Armenia were performed based on a number of methods.
1.Literature review
In this section various literature sources are analyzed that present domestic tourism development methods in different countries.
There are many methods and models developed to forecast the demand for the tourism and transportation industries (Ghalehkhondabi et al, 2019).
Some researchers model the tourism demand as disaggregated components according to variables such as country of residence, purpose of the trip, type of transport and accommodation (De Oliveira & Eduardo, 2009).
Multiple linear regression was used by Varagouli et al. (2005), Anderson et al. (2006) to forecast the domestic travel demand.
Blainey and Mulley (2013) used a geographically weighted regression to forecast the rail demand in New South Wales, Australia. They tested the following variables in the models: population and employment, income and age profile, household size, car ownership levels, etc.
Based on the survey papers by Crouch (1994) and Lim (1997), the following factors can influence international tourism demand: income, relative prices between prices of origin and destination, exchange rates, relative prices between a destination and its competing destinations, cost of transportation, marketing expenditures, consumers' preferences, the effects of special events as well as other factors such as the effects of word-of-mouth.
In the context of domestic tourism demand, a study on how income and tourism prices affect the demand is crucial. Maurer et al. (2006) analyzed the causal relationships amongst economic variables and Australian domestic tourism variables and found that the main drivers of domestic tourism demand are discretionary income, consumer confidence indices and prices.
Regarding domestic tourism prices, the costs of living at the region concerned, such as the prices of tourist accommodation, recreation and restaurants, are the most crucial factors for domestic tourism demand. Domestic tourists' income, the prices of tourism goods and services are the important economic determinants that influence domestic travel. Another characteristic feature of domestic tourists is that they make choices between domestic destinations by comparing the costs between travelling to intrastate and interstate destinations (Yap, 2010).
Another study proposed a demand model that examined the relationship between the annual expenditure of urban domestic travelers and per capita GDP (Cai et al, 2002).
A study in Greece reveals the following factors that influence domestic travel: the population of the country, disposable national income, the average total cost for a 10-day stay in Greece including travel expenses, the average cost for a 10-day stay in other competitive countries, the exchange rate of the currency, the gross investment in fixed assets in Greece, advertising expenditures in the country of origin, a dummy variable that measures political stability in Greece (Dritsakis & Athanasiadis, 2000).
A different study estimates the income and tourism price elasticities of demand for Australian domestic tourism using a panel data approach. According to the model, the income elasticity for domestic tourism trips in Australia is negative, implying that Australian households will not choose to travel domestically when there is an increase in household income. Second, the national income variables are positively correlated with domestic business tourism demand indicating that the demand is strongly responsive to changes in Australia's economic conditions. Third, an increase in the current prices of domestic travel can cause the demand for domestic trips to fall in the next one or two quarters ahead. Finally, the coefficients for lagged dependent variables are negative, indicating perhaps, that trips are made on a periodic basis (Allen & Yap, 20019).
An analysis in Galicia shows that both domestic and foreign tourism in Galicia is highly sensitive to income in the origin markets and to prices. Other findings are the dependence of domestic tourism on its own past and the sensitivity of tourism to the celebration of the Holy Year (Garín-Muñoz, 2009).
In Armenia previous studies have applied static and dynamic models for domestic tourism forecasts (Poghosyan & Tovmasyan, 2021). As for the incoming tourists' forecasts, ARIMA method was applied (Tovmasyan, 2021).
Thus, different studies mainly take variables such as the number of tourists, GDP or income level, price index, the prices of tourist packages in other countries, dummy variables for domestic tourism forecasts, etc.
2.Methodological approach
Ordinary least squares and weighted least squares methods were used in the analysis. Breusch-Pagan heteroskedasticity test, Breusch-Godfrey LM test and Cochrane-Orcutt regression were applied.
Ordinary Least Squares regression (OLS) is a common method for evaluating coefficients of linear regression equations that describe the relationship between one or more independent quantitative variables and a dependent variable (simple or multiple linear regression). In the case of a model withp explanatory variables, the OLS regression model is the following:
...
where Y is the dependent variable, ß0 is the intercept of the model, Xj corresponds to the jth explanatory variable of the model (j= 1 to p), and s is the random error with expectation 0 and variance o2 (Ordinary Least Squares Regression).
The weighted least squares regression (WLS) is used when heteroskedasticity (nonconstant error variance) is present in an analysis - with the correct weight, inefficient estimates and biased standard errors can be limited.
The regression equation ... has the same form as the OLS regression equation (Y is the dependent variable, b's are the regression coefficients, c is the constant or intercept, and e is the error term), but instead of minimizing the residual sum of squares RSS=^f=1 e2 , where ei are residuals, the weighted sum of squares WSS=^f=1 W¿e2 is minimized (Wi is the weight given to the ith observation). If W is the diagonal matrix of weights, X is the matrix of predictor variables as columns (an extra column of ones is added if the intercept is included in the model), b is the column vector of coefficients corresponding to the columns of X, the WLS estimator of b is determined as ... (Weighted Least Squares Regression).
There are several tests for evaluating the heteroscedasticity with the following null and alternative hypotheses:
* H0: The residuals are homoscedastic
* Ha: The residuals are heteroscedastic
One of the tests was developed by Breusch and Pagan in 1979. If e is the vector of the errors of the model, the null hypothesis H0 of said error terms being of constant variance can write: H0 : E(e2) = o2.
To verify that the quadratic errors are independent of the explanatory variables, which can translate into many functional forms, the simplest is to regress the squared errors by the explanatory variables. If the data are homoskedastic, the coefficient of determination R2 should then not be equal to 0. If H0 is not rejected we can conclude that heteroscedasticity, if it exists, does not take the functional form used. Practice shows that heteroscedasticity is not a problem if H0 is not accepted. If H0 is rejected, it is likely that there is heteroscedasticity and that it takes the functional form described above.
The statistic used for the test proposed by Koenker in 1981 is: LM = nR2,
where LM stands for Lagrange multiplier. This statistic has the advantage of asymptotically following a Chi-square distribution with p degrees of freedom, where p is the number of explanatory variables.
If the null hypothesis is rejected, it is necessary to transform the data before doing the regression, or using modeling methods to take into account the variability of the variance (Heteroscedasticity Tests).
Breusch-Godfrey (BG) test can detect autocorrelation up to any predesignated order p. It also supports a broader class of regressors (e.g. models of the form yi = axi + byi-1 + c) (Breusch-Godfrey Test).
Cochrane-Orcutt regression is an iterative version of the FGLS method for addressing autocorrelation (Cochrane-Orcutt Regression).The following indicators were taken for the static regression model of the development of domestic tourism in Armenia:
* the number of domestic tourists (people),
* the real GDP growth rate (in %),
* the consumer price index (CPI, in %),
* the average cost of the tour packages from Armenia to other countries (in Armenian Drams) which can be considered as an alternative for domestic tourism for the citizens of the Republic of Armenia,
* As false or dummy variables were taken the global financial and economic crisis of 2008, the Covid-19 pandemic, and the 44-day war in Nagorno-Karabakh (in autumn of 2020).
The average cost of the tour packages from Armenia to other countries was revealed by conducting surveys among various travel agencies. Georgia, Egypt, UAE (Dubai), Greece, Spain and Italy were the main destinations. A proxy of the values of tour pachages has been performed.
Since 2012, Armenia offers a social package for workers, which includes also the opportunity to spend holidays in Armenia. However, for the model it has not been considered separately as a false variable, as it is already included in GDP.
The database for the regression model was created based on quarterly data from 2005 / Q 1 till 2021 / Q 3 (67 observations for each variable). The time series used in the model have been subjected to preliminary statistical processing, in particular, the natural logarithm of their absolute values has been calculated; then, the series that have seasonality were subjected to seasonal leveling (seasonal alignment was performed by Snxm seasonal filter (X11) method and the first differences of the aligned series were calculated. Next, all time series were brought to the same scale, that is, the values of each series were divided by the standard deviations of the corresponding series. As a result, the estimated coefficients are easier to interpret, and standardized time series with quarterly percentage changes were obtained.
As the consumer price index also includes the prices of services, including the cost of hotels, therefore, in order to avoid duplication, the cost of rest in RA hotels was not included in the model.
3.Results
At first, the model was evaluated using the ordinary least squares method, later the weighted least squares was applied. The choice of this method is explained by the fact that the residuals of the model estimated by the ordinary least squares method can be characterized by heteroskedasti c-autocorrelated behavior.
The result obtained by the ordinary least squares method is presented in Table 2.
In Table 2 tourist is the change in the number of domestic tourists, which is a dependent variable in the model (in %), gdp_gr is the real GDP growth rate (in %), infl is inflation or CPI (in %), int_price is the average cost of foreign travel packages, dummy1 is the global financial and economic crisis of 2008, dummy2 is the Covid-19 pandemic, dummy3 is the war in Nagorno-Karabakh. The mentioned variables in the model are explanatory variables.
The problem with regression estimated by the ordinary least squares is that the errors exhibit heteroskedastic behavior because of Covid-19 and the Nagorno-Karabakh war. The errors of this model are shown in the diagram below.
Figure 1 shows that the fluctuations during the years 2020-2021 are significantly different from the fluctuations of the errors in the previous years. The hypothesis of heteroskedasticity can also be tested using a statistical test, such as the Breusch-Pagan test, the results of which are presented below.
The null hypothesis in this test is that the error dispersions are equal and the alternative hypothesis is that they are not equal. The criterion for this test has chi2 distribution. In this case the degree of freedom is 1. The calculated value of the test is equal to 6.63 which exceeds the 95% critical value, so the alternative hypothesis is accepted, which is, the dispersions are not equal, therefore, the errors have heteroskedasticity.
The second problem is that the model errors estimated in the least squares are autocorrelated. This is evidenced by the Breusch-Godfrey LM test. The results of this test for different lag values are presented in Table 4.
Table 4 shows the calculated values of the chi2 criterion, their degrees of freedom and the corresponding probabilities. The null hypothesis is that there is no serial auto-correlation in the model residuals (or errors). Since the calculated probability values for all the lags presented in the table are less than the critical value of 0.05, the conclusion is that the model residuals are characterized by serial autocorrelation.
Thus, in the case of heteroskedastic-autocorrelated behavior of the model residuals, the estimates obtained by the ordinary least squares method are skewed. The following steps have been taken to address this issue and to attain consistent assessments. First, the Cochrane-Orcutt methodology was used, which excludes autocorrelation of the model residuals, and next, based on the Cochrane-Orcutt regression residuals, the weighted least squares method was used, which excludes the heteroskedasticity of the model residuals. The results of the CochraneOrcutt regression are presented in Table 5.
In the second step taking the Cochrane-Orcutt regression residuals (which are free of autocorrelation), applying the weighted least squares method, neutralizing the heteroskedasticity of the residues, steady-state model estimates were attained. The results are presented in Table 6.
The results of the regression analysis show that R2 was 0.6912, i.e. the change in the number of domestic tourists is explained by about 69% of the model variables. In other words, changes in real GDP, inflation, and foreign tour packages' prices play a key role in the growth of domestic tourism in the country. As shown in the table, the effects of almost all variables of the model are statistically significantly different from zero (except for the false variable of the Nagorno-Karabakh war All coefficients have an economic explanation. Thus, a 1% increase in GDP, according to the model, will lead to a 0.22% increase in the number of domestic tourists, a 1% increase in prices will lead to a decrease in the number of domestic tourists by about 0.12%, and a 1% increase in foreign tour package prices will increase the number of domestic tourists by about 0.14%. As shown in the table 6, the impact of the global financial crisis and the pandemic on domestic tourism has been significant. This is logical as there were made restrictions on movements, especially during the pandemic, and the impact of the NagornoKarabakh war. on domestic tourism is insignificant, which can be explained by its short period.
The model was also evaluated by replacing the CPI with the prices of hotels in Armenia. The model, like the previous model, was evaluated first by the ordinary least and later by the weighted least squares methods, because the model's error behavior contains heteroskedasticity, autocorrelation. The results obtained by the method of the ordinary least squares are presented in Table 7.
In Table 7 dhotel_home is the average cost of a hotel stay in Armenia. Therefore, the replacement of the CPI index with the hotel price in the model does not change the content.
Figure 2 shows the error dynamics of the model estimated by the ordinary least squares method.
The heteroscedasticity hypothesis was tested again using the Breusch-Pagan statistical test, the results of which are presented in Table 8.
The calculated value of the test is equal to 8.36, which exceeds the 95% critical value, therefore the dispersions are not equal and the errors have heteroskedasticity.
Table 9 shows the autocorrelation rates of the model residuals estimated by the least squares method. Looking at table 9 we can conclude that the zero hypothesis is denied with 95% reliability.
As in the previous case, the Cochrane-Orcutt methodology was performed here, the results of which are presented in Table 10.
Then taking the residuals of the Cochrane-Orcutt regression the weighted least squares method was used again. The results are presented in Table 11.
The results of the regression analysis show that R2 was 0.5925, i.e. the change in the number of domestic tourists is explained by about 59% by the model variables. In this model R2 is smaller than in the previous one, which is explained by the fact that in the previous one, the CPI contains the entire consumer basket, and in this case only one component of the consumer basket was taken. As shown in table 11 almost all variables in this model are also significantly different from zero. The signs are explained economically too. Thus, a 1% increase in GDP, according to the model, will lead to a 0.13% increase in the number of domestic tourists, a 1% increase in domestic hotel prices will lead to a decrease in the number of domestic tourists by about 0.14%, and a 1% increase in foreign tour package prices will increase the number of domestic tourists by about 0.06%. In this case, the impact of the global financial crisis and pandemic on domestic tourism was significant, and the impact of the Nagorno-Karabakh war is insignificant. The obtained results show that the replacement of the CPI index with hotel prices has not changed the model in terms of content.
The results are logical, in line with the results of other studies in literature review, as the increase in revenue will lead to an increase in domestic tourism, and an increase in prices will lead to a decrease in domestic tourism (Tovmasyan, 2022).
4.Discussion
The Republic of Armenia has a great potential for the development of domestic tourism. All the regions of the R A and the capital Yerevan have a huge potential for tourism, possessing historical, cultural and other resources. Hence, different routes can be organized based on those resources combining different types of tourism.
In order to promote domestic tourism it is necessary to carry out activities in different directions:digital marketing, social media marketing, development of different types of tour packages, including different types of tourism: recreational, religious, pilgrimage to saint places, eco, agro, gastronomic, sports, festival tours, etc.
Armenia is rich in assets that are very attractive for tourism and based on them different types of tourism can develop. Meanwhile, tourism organizations mainly advertise the already popular destinations that are already in great demand. Developing appropriate routes based on the resources of different regions and different communities will contribute to the socioeconomic development of the regions. The creation of new routes and its promotion will contribute to the development of domestic tourism in the coming years as well. Influencer marketing with the participation of Armenian celebrities will have a significant impact. Domestic tourism can also be promoted through business tourism by organizing various events, conferences in different regions, etc.
For the promotion of domestic tourism special vouchers with a limited amount of money can be provided to large, socially disadvantaged and of minimum wage families which they can spend on tour packages, overnight stays in hotel facilities (Mkrtchyan & Tovmasyan, 2021).
Conclusion
Under the current conditions there is no alternative to the promotion and development of domestic tourism. Taking into account the decrease in inbound tourism it may be the only lifeline in the tourism sector. Therefore, the implementation of promotion activities in the coming years will contribute to the activation of socio-economic life and tourism infrastructure in the regions, and lead to sustainable regional development.
The analysis shows that domestic tourism in an emerging sector. The main variables which mainly influence the domestic tourism demand are the real GDP growth rate, the consumer price index, the average cost of the tour packages from Armenia to other countries, which can be considered as an alternative to domestic tourism.
The analysis shows that domestic tourism will increase when income increases, and it will decrease when the prices are high. In case of foreign tour packages' high prices (including also transportation expenses) domestic tourism will increase, as people will prefer to spend their holidays in their own country.
Knowing well the main factors that influence domestic tourism demand it is easy for policy makers to make estimates and create development programs for the tourism sphere.
The research restrictions are connected with the lack of statistical data. The available data for all variables are from 2005-2021 (quarterly data), 67 observations are available for each variable. However, it was enough for conducting the analysis as logical results were obtained.
Future studies should continue the forecasts by exploring domestic tourism development in future years.
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Abstract
ABSTRACT. Armenia has great opportunities and resources for tourism development. In 2021, the number of domestic tourists in Armenia was 1595826, an increase of 52.6% compared to 2020. In 2022, the number of domestic tourists was higher than in previous years - 1929940. The article evaluates the factors which influence domestic tourism demand with the use of ordinary and weighted least squares regression models. The main variables discussed in the models are: real GDP growth rate, consumer price index, average cost of tour packages from Armenia to other countries that can be considered as an alternative to domestic tourism, and dummy variables. The time series are based on quarterly data from 2005-2021. According to the analysis results, 1% increase in GDP will lead to a 0.22% increase in the number of domestic tourists, 1% increase in prices will lead to a decrease in the number of domestic tourists by about 0.12%, and 1% increase in foreign tour package prices will increase the number of domestic tourists by about 0.14%. The article also presents some suggestions for domestic tourism development in Armenia. The results may be useful for similar studies, as well as for state and private sectors conducting forecasts, planning, etc.
You have requested "on-the-fly" machine translation of selected content from our databases. This functionality is provided solely for your convenience and is in no way intended to replace human translation. Show full disclaimer
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1 AMBERD Research Center, Armenian State University of Economics, Public Administration Academy, Yerevan, Republic of Armenia





