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The document analyzes the impact of Covid-19 on India's tourism sector using time series modeling. It develops a SARIMA model to forecast expected losses in foreign tourist arrivals to India from March to December 2020. The SARIMA model forecasts monthly arrival losses of around 2 million, 2.3 million and 3.2 million respectively in the next three quarters. It finds SARIMA performs better than the Holt-Winters model at predicting losses. The study aims to estimate anticipated losses to the industry and provide recommendations.

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0% found this document useful (0 votes)
35 views15 pages

JTFPAPER

The document analyzes the impact of Covid-19 on India's tourism sector using time series modeling. It develops a SARIMA model to forecast expected losses in foreign tourist arrivals to India from March to December 2020. The SARIMA model forecasts monthly arrival losses of around 2 million, 2.3 million and 3.2 million respectively in the next three quarters. It finds SARIMA performs better than the Holt-Winters model at predicting losses. The study aims to estimate anticipated losses to the industry and provide recommendations.

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MD OZAIR ARSHAD
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© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Understanding the impact of Covid-19 on

Indian tourism sector through time series


modelling

Md Ozair Arshad, Shahbaz Khan, Abid Haleem, Hannan Mansoor, Md Osaid Arshad and
Md Ekrama Arshad

Abstract (Information about the


Purpose – Covid-19 pandemic is a unique and extraordinary situation for the globe, which has potentially authors can be found at the
disrupted almost all aspects of life. In this global crisis, the tourism and hospitality sector has collapsed in almost end of this article.)
all parts of the world, and the same is true for India. Therefore, this paper aims to investigate the impact of
Covid-19 on the Indian tourism industry.
Design/methodology/approach – This study develops an appropriate model to forecast the expected loss
of foreign tourist arrivals (FTAs) in India for 10 months. Since the FTAs follow a seasonal trend, seasonal
autoregressive integrated moving average (SARIMA) method has been employed to forecast the expected
FTAs in India from March 2020 to December 2020. The results of the proposed model are then compared with
the ones obtained by Holt-Winter’s (H-W) model to check the robustness of the proposed model.
Findings – The SARIMA model seeks to manifest the monthly arrival of foreign tourists and also elaborates on
the progressing expected loss of foreign tourists arrive for the next three quarters is approximately 2 million,
2.3 million and 3.2 million, respectively. Thus, in the next three quarters, there will be an enormous downfall of
FTAs, and there is a need to adopt appropriate measures. The comparison demonstrates that SARIMA is a
better model than H-W model.
Originality/value – Several studies have been reported on pandemic-affected tourism sectors using different
techniques. The earlier pandemic outbreak was controlled and region-specific, but the Covid-19 eruption is a
global threat having potential ramifications and strong spreading power. This work is one of the first attempts to
study and analyse the impact of Covid-19 on FTAs in India.
Keywords Covid-19, Foreign tourist arrivals (FTAs), Tourism industry, SARIMA, Halt Winter’s model
Paper type Research paper Received 30 June 2020
Revised 26 December 2020
17 April 2021
Accepted 24 June 2021
1. Introduction
© Md Ozair Arshad, Shahbaz
People lived in a mobile world and assumed that they maintain the status quo in mobility until Khan, Abid Haleem, Hannan
Covid-19 arrived (Baum and Hai, 2020). With the international spread of severe acute respiratory Mansoor, Md Osaid Arshad and
Md Ekrama Arshad. Published in
syndrome coronavirus 2 (SARS-CoV2), inconceivable has happened, and this pandemic is Journal of Tourism Futures.
threatening the lives and lifestyles of millions of people. As a consequence, most of the countries Published by Emerald Publishing
Limited. This article is published
have declared lockdowns as a preventive measure for social distancing in order to cater for the under the Creative Commons
spread of Covid-19 (Khan et al., 2021). Attribution (CC BY 4.0) licence.
Anyone may reproduce,
distribute, translate and create
The lockdown has shaken the economy by hitting different economic sectors, especially the derivative works of this article (for
tourism industry, which has collapsed over the days (Chinazzi et al., 2020; Murray, 2020). As the both commercial and non-
commercial purposes), subject
movements are ceased within and outside India, it has directly impacted the transport sectors such to full attribution to the original
as aviation, railways and other modes of transports; this grinding halt has a profound impact on the publication and authors. The full
terms of this licence may be seen
hospitality industry (Sheller, 2020). As the travels are restricted, cancellation of sporting events and at http://creativecommons.org/
the prohibition on gathering have occurred. Airlines are grounded, and other modes of land licences/by/4.0/legalcode

DOI 10.1108/JTF-06-2020-0100 VOL. 9 NO. 1 2023, pp. 101-115, Emerald Publishing Limited, ISSN 2055-5911 j JOURNAL OF TOURISM FUTURES j PAGE 101
transportations are at standstill; even business meetings and conferences are postponed,
cancelled or done through online mode that brings about a huge reduction of activities in all
dimensions of the hospitality industry (Higgins-Desbiolles, 2020). All the facets of the tourism
industry have catapulted into a collapse of the entire sector (Ellis, 2020).

India’s tourism industry is one of the crucial sectors of the Indian economy. India attracts a large
number of foreign tourists every year. The percentage of foreign tourist arrivals (FTAs) is increasing
since the last decade (Annual Report, 2019–20). India is famous for its warm welcome, hospitality,
different lifestyles, cultural heritage and varied geography (Goswami, 2018). The attraction for foreign
tourists is heritage buildings; temples and other religious buildings; coastal areas and beaches; yoga,
Ayurveda and natural health resorts; and spiritual and religious tourism (Annual Report, 2019–20). As
many religious shrines in India are visited regularly; with industrialization and economic growth,
domestic tourism sees a rise in sightseeing and adventure sports (Kumar, 2020).

The Indian tourism sector is adversely affected by Covid-19 since March 2020. On 24 March 2020,
the government of India imposed a nationwide lockdown. India suspended all tourist visas from 13
March 2020 until 15 April 2020 (The Hindu, 2020). Nevertheless, this timeline is changed from time
to time and imposed different restrictions with terms and conditions.

The Indian tourism industry is likely to be affected in terms of FTAs and consequent revenue loss
due to the ongoing Covid-19. These extreme circumstances have motivated us to conduct this
study and attempt to answer the following research question:

RQ1. What are the expected losses of the Indian tourism industry in terms of FTAs?
Based on the research question, the following research objectives are formulated:
1. Develop an appropriate model and predicting the FTAs.

2. Estimate the anticipated losses of the Indian tourism industry.


3. Recommendation to the government and industry professionals to reduce the loss.

The rest of the research work is organized as follows: Section 2 provides the background of the
study. Section 3 describes the implemented methodology. Section 4 deals with the data analysis.
Section 5 presents the discussion and highlights the major findings. Section 6 describes the
recommendations for government and industries. Section 7 provides the conclusion, limitations
and scope for the future research.

2. Background of the study


Tourism is delicate and seasonal, and it depends on travellers’ personal preferences, motivation
and financial conditions. Due to these factors, tourism and their associated activities have
experienced several crises before Covid-19, such as the West Africa Ebola in Sierra Leone region
impacted severely on tourism arrivals by 50% in 2013–2014 (WTTC, 2018), and a similar case was
also reported in Hong Kong due to outbreak of SARS and found 68% loss of visitor arrivals in May
2003 (HKTB, 2002–2003).

In the recent study, panel regression models are used to establish the relationship between Covid-19
effects and arrivals of international tourists in four Asia-Pacific Economic Cooperation economies
(Tran et al., 2020). A similar study has been conducted to build a prediction on seasonal
ARIMA model for traveller arrivals to China and examined the significant impact of the SARS incident
(Chen et al., 2007). Very few researchers studied thoroughly such health-related crises in this
hospitality and tourism industry (Oxford Economics, 2020). Therefore, some more studies are
required to deal with this multiplex situation.

However, the Covid-19 pandemic is of the highest magnitude in the last 100 years. The outbreak of
Covid-19 has been considered a watershed moment for economic activities and industrial sectors.
This outbreak severely affected almost all the industrial sectors and seriously affected the tourism

j j
PAGE 102 JOURNAL OF TOURISM FUTURES VOL. 9 NO. 1 2023
and hospitality industry in India. The tourism industry is one of the largest service sectors, including
hospitality, transportation, food and beverage and associated tourism products (Franks, 2020). It
provides an opportunity to participate in commercial activities to small- and medium-scale
entrepreneurs and employ vast numbers of skilled, semi-skilled and unskilled workforce. Due to
the shutdown of the tourism industry, some developing and underdeveloped economies are
crumbled and face enormous loss in terms of income and employment.

Further, the tourism industry as compared to others industries will take relatively more time to
restore its former glory. The World Tourism Organization (WTTC, 2020) claimed “ours has been the
sector hardest hit by the crisis and has proposed an agenda for recovery”.

In a short time, Covid-19 has challenged human mobility and has put many people in temporary
lockdowns leading to a halt to the global tourism movements. World Travel and Tourism Council
(WTTC, 2020) predicted 100.8 million job losses in the tourism sector due to the Covid-19
pandemic, which is 31% of the total jobs in this sector. This industry generated 10.3% of the global
economy’s GDP, which is expected to reduce by 31% (WTTC, 2020; Benvenuto et al., 2020). The
Indian tourism industry is one of the significant contributors to GDP as well as an employment
provider (Annual Report 2019-20). In 2019, the tourism industry contributed 6.9% of India’s GDP
and 8% of its total employment (WTTC, 2020). This industry has healthy growth and is expected to
grow at an annual rate of 3.5% (WTTC, 2020).

3. Methodology
The objective of the undertaken study is to assess the impact of the ongoing pandemic on FTAs in
India. These types of studies are analysed by using different techniques and the adopted methods
depend on different factors, i.e. availability of data sets, context of the forecast, period to be
forecast and also time availability for analysis (Chambers et al., 1982). The data sets available in the
current work are univariate and seasonal. For such data sets and short-term forecast, seasonal
ARIMA and Holt-Winter’s (H-W) method are adopted in the current study. As there are no
exogenous inputs available in the data sets, nonlinear autoregressive with exogenous inputs
cannot be used. If the nonlinear autoregressive (NAR) method is employed in such situations, then
the prediction may mislead or overfit due to lack of data sets.

The impact of the ongoing pandemic on FTAs required the past data pattern to find out the future
trend in FTAs and is considered a short-term forecast. In the present work, the number of the
parameter is only one (i.e. monthly data of FTAs), and by decomposing this data, seasonality and
upward trend are found as mentioned in the Data analysis section. For such conditions, seasonal
autoregressive integrated moving average (SARIMA), artificial neural network (ANN) and H-W
forecasting models can be used. As we have a small size data set, ANN cannot be adopted for
such data sets (Heaton, 2008). Further, if the NAR method is employed, then the model remains to
overfit and the prediction may mislead due to the lower number of data is available. Therefore,
SARIMA and H-W models seem to be a better option for the forecasting of FTAs. Further, the
performance of the SARIMA and H-W forecasting model is compared based on mean absolute
percentage error (MAPE), mean absolute deviation and root mean square error (RMSE) to predict
FTAs in the financial year of 2020–2021 accurately. The steps of the adopted forecast models are
discussed in the upcoming section.

3.1 SARIMA
It is an extension of the ARIMA model developed by Box–Jenkins. If the seasonal part is included in
the ARIMA model, then it is termed SARIMA. The general notation of seasonal ARIMA is as follows:

ARIMA ðp; d; qÞðP; D; QÞs

An ARIMA (p, d, q) (P, D, Q), (p, d, q) terms depict non-seasonal and (P, D, Q)s is the seasonal part
of the model.

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VOL. 9 NO. 1 2023 JOURNAL OF TOURISM FUTURES PAGE 103
where,
p 5 non-seasonal AR order,
P 5 seasonal AR order,
d 5 non-seasonal differencing,

D 5 seasonal differencing,
q 5 non-seasonal MA order and
Q 5 seasonal MA order.

The SARIMA model in generalized form can be written as (Wei, 2006; Box et al., 2008; Cryer and
Chan, 2008) follows:

fp ðBÞΦp ðBS Þð1  BÞd ð1  BS ÞD Zt ¼ θq ðBÞΘQ ðBS Þat (1)

where,
Non-seasonal AR: wpðBÞ ¼ 1 − w1 B − w2 B2 − w3 B3 . . . − fp B.
Seasonal AR: ΦP ðBS Þ ¼ 1 − θ1 B − θ2 B2 − θ3 B3 . . . − θq Bq.
Non-seasonal MA: θq ðBÞ ¼ 1 − θ1 B − θ2 B2 − θ3 B3 . . . − θq Bq.

Seasonal MA: ΘQ ðBS Þ ¼ 1 − Θ1 B − Θ2 B2S − Θ3 B3S . . . − ΘQ BQS.


B 5 backward shift operator.
Zt 5 current time series observed.
at 5 white noise or random process with zero mean.

For building an ARIMA model, Box–Jenkins suggested three main stages are following (Box
et al., 1996):
1. Identification: It involves plotting time series data; computes autocorrelation function (ACF) and
partial autocorrelation function (PACF) and go for stationarity test to find the necessity of
difference.
2. Estimation: It incorporates the estimation of parameters of the model, p-value for AR, MA order
suitability and finds the standard error with Akaike information criterion (AIC) or Bayesian
information criterion (BIC) values.

3. Diagnostic checking: It deals with the analysis of residual and overfitting of data. In the residual
analysis, go for the Ljung-Box Q (LBQ) test for residual autocorrelation and residual quantile–
quantile (Q-Q) plot for normal distribution. If the model is not up to the mark, go for the initial
step and follow the same procedure for any improvement.

3.2 Holt-Winter’s method (H-W)


H-W method is used when series shows a seasonal pattern with or without trend and gives short-
to medium-range prediction. It gives decreasing weights to previous or older data, and for
weightage, three smoothing parameters α, β and γ are engrossed for level, trend and seasonal
component, respectively. All the three parameters are constrained as 0 ≤ α, β, γ ≤ 1.

This method is categorised as an additive or multiplicative based on how seasonality is


modelled.
Multiplicative method: This H-W method is so-called because trend is multiplied by seasonality
component. The following equations describe this method (Makridakis et al., 2008, p. 165):

Lt ¼ αðYt =st−s Þ þ ð1  αÞ½Lt−1 þ bt−1  (2)

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PAGE 104 JOURNAL OF TOURISM FUTURES VOL. 9 NO. 1 2023
bt ¼ β½Lt  Lt−1  þ ð1  βÞbt−1 (3)

St ¼ γfYt =Lt g þ ð1  γÞSt−s (4)

Ft þ m ¼ ðLt þ bt mÞ Sts þ m (5)


where,
Lt 5 level component at time t,

bt 5 trend component at time t,


St 5 seasonal component at time t,
s 5 seasonal period,

Ft þ m 5 prediction for m ahead period and


α, β, γ represent weightage for level, trend and seasonal component, respectively.
Additive method: This method is applied when the seasonal pattern’s magnitude does not vary as
the series changes its nature. In this approach, the trend and seasonality are additive as shown in
the following equations (Makridakis et al., 2008), and this method gives prediction equivalent to an
ARIMA (0, 1, s þ 1) (0, 1, 0)s model (Makridakis et al., 2008):

Lt ¼ αðYt  st−s Þ þ ð1  αÞ ðLt−1 þ bt−1 Þ (6)

bt ¼ βðLt  Lt−1 Þ þ ð1  βÞbt−1 (7)

St ¼ γðYt  Lt Þ þ ð1  γÞSt−s (8)

Ft þ m ¼ ðLt þ bt m þ Sts þ m Þ (9)

4. Data analysis
As the methodology suggested, SARIMA modelling is conducted in three steps. It applies the data
of monthly tourist arrivals in India from January 2014 to February 2020. The data are obtained from
the Ministry of Tourism, India.
1. Data set division: The data set of the monthly tourist is taken from FTAs from January 2014 to
February 2020. The obtained data are classified into a train and test group. The training data
set is approximately 81% (60 months), from January 2014 to December 2018, and the testing
data set is 19% (last 14 months), from January 2019 to February 2020.
2. Construction and decomposition of time series: The training data set is converted into a time
series data set for applying the steps of the SARIMA model. Figure 1 shows the tourist’s
monthly arrival from January 2014 to December 2018.

Further, this data set is decomposed for a better understanding of the time series. In this study,
classical decomposition by an additive method with a seasonal period of 12 is used. The
decomposition function in R software divides time series into observed, trend, seasonality and
remainder components, as shown in Figure 2.

The monthly arrival of the tourist is decomposed into three components with respect to time. The
first component is the seasonal components that describe the seasonal behaviour and is shown in
Figure 2. The second component is the trend, which represents the upward or downward nature of
time series. It is evident from Figure 2 that the arrival of the tourist having an upward trend, which
means the tourist arrival is increasing over time. The third component is the remainder, which

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VOL. 9 NO. 1 2023 JOURNAL OF TOURISM FUTURES PAGE 105
Figure 1 Arrival of tourists from 2014 to 2018

Tourist Data from Jan 2014 to Dec 2018


1200000

1000000

Tourist
800000

600000

2014 2015 2016 2017 2018 2019


Date

Figure 2 Decomposition of the monthly arrival of the tourist from 2014 to 2019

Decomposition of additive time series


1200000

1000000
data

800000

600000

2e+05
seasonal

1e+05
0e+00
–1e+05
–2e+05

850000
trend

800000
750000
700000
650000
50000
remainder

25000
0
–25000
–50000

2014 2015 2016 2017 2018 2019


Time

reflects noise or irregular patterns in time series, that is attained after the removal of seasonal and
trend components with respect to time. From decomposition analysis, FTAs have seasonal and
upward trending patterns with respect to time, so either the SARIMA or H-W method can be
employed.
3. Prediction model formation

In this study, Box–Jenkins method for SARIMA is employed. In order to apply according to Box–
Jenkins method, the given time series must be stationary. To test the stationarity of the tourist
arrival time series data, the augmented Dickey–Fuller test is conducted. The hypothesis of the
augmented Dickey–Fuller test describes as follows:

Null hypothesis: Time series (FTAs) contains a unit root or non-stationary and expressed as follows:

Ho : Φ ¼ 1

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PAGE 106 JOURNAL OF TOURISM FUTURES VOL. 9 NO. 1 2023
Alternate hypothesis: Time series (FTAs) contains stationary and expressed as follows:

HA : Φ < 1
The result of the augmented Dickey–Fuller test is provided in Table 1.

The Augmented Dickey–Fuller test concludes that the time series is stationary and ready for ARIMA
modelling. Therefore, auto. arima() function is applied that returns the best model based on the
minimum BIC or AIC value. Table 1 shows the results of ARIMA modelling.

On the basis of minimum BIC value, best model is ARIMA (0,1,1) (0,1,0) [12]. After the identification
of the best model, the estimates of the model are calculated and shown in Table 2.
Model Fitting Test:
In order to check the model fitness, the Ljung–Box test is conducted. The hypothesis of the Ljung–
Box test is as follows:

Null Hypothesis: The first m autocorrelations of the residuals are jointly 0.

Ho : ρ1 ¼ ρ2 ¼ . . . : ¼ ρm ¼ 0

Alternative hypothesis: Autocorrelations of residual is not zero.

H1 : ρj ≠ 0; j ∈ 1; . . . m

After conducting the Ljung–Box test, the result is compiled and shown in Table 2.

Table 1 Augmented Dickey–Fuller test and ARIMA model with BIC values
Augmented Dickey–Fuller test
Null rejected p-value Test statistic Lag order

True 0.01 4.4691 3

ARIMA model with BIC values


S. No Model BIC value

1 ARIMA (2,1,2) (1,1,1) [12] 1137.033


2 ARIMA (0,1,0) (0,1,0) [12] 1128.19
3 ARIMA (1,1,0) (1,1,0) [12] 1125.892
4 ARIMA (0,1,1) (0,1,1) [12] 1123.946
5 ARIMA (0,1,1) (0,1,0) [12] 1122.319
6 ARIMA (0,1,1) (1,1,0) [12] 1123.911
7 ARIMA (0,1,1) (1,1,1) [12] 1127.75
8 ARIMA (1,1,1) (0,1,0) [12] 1125.399
9 ARIMA (0,1,2) (0,1,0) [12] 1125.413
10 ARIMA (1,1,0) (0,1,0) [12] 1126.401
11 ARIMA (1,1,2) (0,1,0) [12] 1129.774

Table 2 Model estimation and Ljung–Box test results


Model estimation
Coefficient
ARIMA model MA(1) Std. error Variance(σ2) AIC value BIC value Log likelihood

(0,1,1) (0,1,0) [12] 0.5618 0.1362 1.183eþ09 1118.62 1122.32 557.31

Ljung–Box test results


Q* DF, model DF Total lags used Significance level p-value Null rejected

19.433 11,1 12 0.05 0.05375 False

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VOL. 9 NO. 1 2023 JOURNAL OF TOURISM FUTURES PAGE 107
From the Ljung–Box test, p-value is 0.05375, which signifies that the null hypothesis cannot be
rejected for the first 12 lags and different values of p above the 5% significance level. Hence, null
hypothesis is accepted, which means autocorrelations of the residuals are jointly 0.

From Figure 3, in ACF of the residual diagram, it clearly shows that residuals are not correlated
except for some points at Lags 7 and 14. Also, in Figure 3 of residuals, a histogram shows that
residuals follow a normal distribution.

From the first figure, the Residuals vs Time plot depicts no pattern in it. Hence, forecasted values
are acceptable.

4.1 Holt-Winter’s method approach


In the formation of H-W method applied for additive as well as multiplicative seasonality and
estimate parameters of exponential smoothing coefficient alpha, beta and gamma with optimal
values on minimum squared one-step prediction error basis. Estimated parameters of additive and
multiplicative are shown in Table 3.

H-W method of additive seasonality gives better results based on measured error performance of
MAPE value of 3.12, and the RMSE value is 37,074.26 as compared to the multiplicative method’s
MAPE and RMSE value of 3.25 and 37,521.731, respectively.

From Figure 4, additive exponential smoothing is extrapolated within 95% upper and lower bound
(blue colour). It seems to follow the observed previous data evenly.
4.1.1 The goodness of fit. The measure of how well the performance is shown by the residual
depicts the best-fitted time series model.

In Figure 5, the ACF plot of residual depicts no significant residual for a 5% significance level shown
by the blue dotted line except at Lag order 7. In the residual cumulative diagram, an integrated
periodogram fall within 95% bound is shown dotted blue colour line signifies residuals are random
and appear to be white noise. For residual normal Q-Q plot, residual follows normal distribution as
close to the line with some curvature away initially.

Figure 3 Residual analysis of ARIMA (0,1,1) (0,1,0) [12]

Residuals from ARIMA(0,1,1) (0,1,0) [12]


5e+04

0e+00

–5e+04

–1e+05
2014 2015 2016 2017 2018 2019

0.2
15
count
ACF

0.0 10

5
–0.2

0
5 10 15 20 –1e+05 –5e+04 0e+00 5e+04 1e+05
Lag residuals

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PAGE 108 JOURNAL OF TOURISM FUTURES VOL. 9 NO. 1 2023
Table 3 Estimated parameters of exponential smoothing (additive) and (multiplicative)
S. No α β γ

1. (Additive) 0.336828 0.003748 1


2. (Multiplicative) 0.1848 0.1253 0.5147

Figure 4 Extrapolation fit of exponential smoothing (additive)

Extrapolation Fit of Exponential Smoothing


600000 800000 1000000 1200000
Observed (black) / Fitted (red)

2 3 4 5 6 7 8
Time

5. Model evaluation and forecast values


In this section, univariate time series models are finally chosen based on the measured error
performance of MAP, RMSE and mean absolute error (MAE). As per earlier discussions, these
measured errors are evaluated for testing of data sets of FTAs. Based on the minimum values of
MAP, RMSE and MAE, obtained results are tabulated in Table 4.

ARIMA (0,1,1) (0,1,0) [12] seems to be the best model, as it is showing the smallest RMSE, MAPE
and MAE values. Based on this model, the next 10-month forecast by ARIMA (0,1,1) (0,1,0) [12]
model with 95% upper and lower bound for FTAs in India with the financial year of 2020–2021 is
tabulated in Table 5.

The forecasted value for March 2020 to December 2020 is graphically shown in Figure 6 with blue
colour, by analysing expected forecast of the FTAs monthly. It follows a similar increasing trend with
up and down nature as previous monthly data sets.

However, India suspended all the visas with effect from 13 March and imposed a nationwide
lockdown by the end of March 2020. So, in this paper, prediction of FTAs starts from March 2020.
As reported in a brief note by the Ministry of Tourism (FTA, 2021), FTAs in March 2020 were
328,462 with growth of 66.4% as compared to March 2019. The proposed prediction of March
is fairly similar and found 66.42% of loss of FTAs in India.

Table 4 Error values for different models


Model RMSE MAPE MAD

ARIMA (0,1,1) (0,1,0) [12] 36,612.28 2.95 28,513.88


Additive exponential 37,074.26 3.12 28,839.11
Multiplicative exponential 37,521.73 3.25 29,360.73

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VOL. 9 NO. 1 2023 JOURNAL OF TOURISM FUTURES PAGE 109
Table 5 Forecast of the foreign tourist arrival in India
Month Point forecast Lower bound 95% Upper bound 95%

March 2020 963142.3 891452.8 1034831.7


April 2020 761629.3 684259.2 838999.3
May 2020 600866.3 518205.1 683527.4
June 2020 711291.3 623657.9 798924.6
July 2020 807731.3 715393.1 900069.4
August 2020 788863.3 692048.6 885677.9
September 2020 740790.3 639697.1 841883.4
October 2020 934509.3 829311.6 1039707.0
November 2020 1082222.3 973074.2 1191370.3
December 2020 1215948.3 1102987.9 1328908.6

Figure 5 Residual analysis of additive exponential smoothing

Residual ACF Residuals Periodogram


–0.2 0.2 0.6 1.0

2e+06 2e+07 2e+08


spectrum
ACF

0 10 20 30 0 1 2 3 4 5 6
Lag frequency
bandwidth = 0.0541

Residual Cumulative Periodogram Residual Normal QQ Plot


50000
Sample Quantiles
0.8
0.4

–50000
0.0

0 1 2 3 4 5 6 –2 –1 0 1 2

frequency Theoretical Quantiles

Figure 6 Forecast of the FTAs for March 2020 to December 2020

Forecasts from ARIMA(0,1,1) (0,1,0) [12]


600000 800000 1000000

2014 2015 2016 2017 2018 2019 2020 2021

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PAGE 110 JOURNAL OF TOURISM FUTURES VOL. 9 NO. 1 2023
For April, as per the estimation, 761,630 tourists were treated as a total loss of FTAs in India. India
expects 600,867 individual foreign tourists to drop in May month as India extends lockdown to 31
May. As reported in The Hindu, AIIMS director expects Covid-19 cases likely to hit a peak
somewhere between the months of June and July (The Hindu, 2020a). In case the situations
prevail, it could be the enormous loss of 711,292 FTAs and 807,732 in-person for June and July,
respectively.
By analysing the quarterly FTAs for the financial year 2020–2021, India expects a loss of the
number of persons in Table 6 and a percentage loss of FTAs in Figure 7.

6. Recommendations for the government and industries


Covid-19 pandemic has hit the top global tourist destinations such as Spain, Italy, France and UK
(International Tourism Highlights 2019 Edition). Therefore, global travellers may lean towards the
north-eastern and southern parts of India, which are far less affected by Covid-19 and has a lesser
fatality rate. Tourism is fragile and seasonal, which depends on different influential factors such as
GDP, consumer price index and the exchange rate of incoming countries of tourist arrivals in India.
Major sources of tourist share from USA, UK, Canada, Australia, etc. Now their GDP growth rate
varies between 5 and 9 in April 2020 (Nathan, 2020), and employment losses are high.
Therefore, the arrivals from these countries are likely to come down.

As the Indian economy is struggling, one of the biggest challenges is reviving and boosting the
economy during this pandemic outbreak. Currently, the tourism industry accounts for
approximately 10% of GDP, and this research predicts the tourism industry’s unhealthy signs in
the upcoming quarters. Therefore, the need of the hour is that the government and industry take a
serious step towards the revival of this sector and recommended to plan measures as in Table 7.

Table 6 Quarter-wise estimated FTAs loss


S. No Quarter Estimated FTAs loss

1 Second (April, May and June) 2,073,787


2 Third (July, August and September) 2,337,385
3 Fourth (October, November and December) 3,232,680
P4
4 Total Qi 7,643,852
i¼2

Figure 7 Estimated quarterly FTAs loss

FTAs Loss

27%
42%

31%

Q2 Q3 Q4

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VOL. 9 NO. 1 2023 JOURNAL OF TOURISM FUTURES PAGE 111
Table 7 Recommendations to reduce losses for government and industry
S.
No Government Industry

1 As the situation improves, the government should ease of tourist Entice local tourists and NRIs along with the foreign tourists by
visa policy to promote tourism in less-affected Covid-19 hotspots adopting the following confidence-building measures: providing
and issue more practical and documented lockdown guidelines for quality medical facilities at nominal charges, medical insurance,
tourists ensuring government protocols during their stay and travel, etc.
2 The government authority should distribute an impressive sum and Industry to follow preventive measures and redesign their facilities
focus on the sanitation and tidiness of all visitor destinations and and ensure proper hygiene and sanitation
spots
3 Strict guidelines should be made and carried out to give better Capacity building and retraining of the workforce to deal with the
hygiene facilities to tackle the coronavirus outbreak at all places of pandemic. Engage local workers in catering and hospitality
interest services
4 Uniformity of taxes and extensive relief be provided in hotels and Give handsome commission of tour operators based on a group
restaurants and bring some relief as the cost of service will increase size of tourists
during and after Covid-19
5 Avoid GST refund delay to maintain the balance in the industry Attractive and affordable tour packages should include yoga and
meditation in their packages as these are immunity boosters
6 Transportation charges should be low as international crude oil Promote and focus on less-affected Covid-19 hotspots such as
price reducing nowadays Kerala, Lakshadweep, north-eastern states, etc.

This study provides a basic understanding of the magnitude of the problem coming to the Indian
tourism industry. The need is for industry, policy planners and researchers to develop policies to
attract foreign tourists and improve sustainability. As the WTTC predicts the huge employment loss
in this sector, there is a need to develop a policy for alternative employment. The finding of this
study could also give a good idea of the loss of foreign exchange earnings. One can use the finding
to develop strategies to reduce the loss by attracting local tourists and alternate use of the existing
facilities.

7. Conclusion, limitations and future scope


Most of the world is going through a rough patch due to the Covid-19 virus, and India is also equally
suffering. The Indian government has implemented strict rule and regulation to control the growth
rate of rapidly increasing corona cases, where for more than 70 days, a large portion of economic
activity is restricted due to partial or sometimes full closure of manufacturing and service sectors.
This nationwide lockdown has adversely affected the travel and hospitality industry and may be the
worst in the service sector. India’s tourism industry is one of the significant areas of the Indian
economy, which provides a wide range of employment and contributes approximately 10% of
the GDP.

This paper predicts the FTAs by using SARIMA as compared to the H-W method based on
measured error performance of MAPE, RMSE and MAE. As per the earlier discussions, the tenth
months ahead of forecast, which is equivalent to the downfall or loss of FTAs in India. This research
estimates the monthly forecast of the FTAs from March 2020 to December 2020 in India, as India
found a considerable number of Covid-19 patients that were increasing from March. Thus,
simulation shows a clear sign of the downfall of 634,681 FTAs in March month by the proposed
research. For the second quarter, it is to be a total loss of 2,073,787 FTAs. If such situations prevail,
then 2,337,385 and 3,232,680 would be the overlooked FTAs in the third and fourth quarter,
respectively, and all the last three quarter will be 7,643,852 FTAs, a considerable loss incurred.

This study uses monthly data, so its prediction performance may be compromised compared to
the use of daily or weekly data. Even if the perfect prediction model is pointed out, it can just fill in as
an estimation for sophisticated traveller practices because the vacationers’ decisions are
influenced by changes in financial ups and downs, inspirations or preferences. Henceforth, the
planner should consistently be set up to make modifications to the earlier identified and defined

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PAGE 112 JOURNAL OF TOURISM FUTURES VOL. 9 NO. 1 2023
model, adjusting it to any recently made changes. Therefore, government can use the outcomes of
this research to correlate the foreign exchange received and employability as it supports the
substantial contribution of GDP of the country and formulate policies accordingly to revive and
boost its hospitality and tourism industry.

Abbreviation
ACF: Autocorrelation function
AIC: Akaike information criterion
ANN: Artificial neural network
ARIMA: Autoregressive integrated moving average
BIC: Bayesian information criterion
DF: Degree of freedom
FTAs: Foreign tourist arrivals
GDP: Gross domestic product
H0: Null hypothesis
Ha: Alternate hypothesis
MAE: Mean absolute error
MAPE: Mean absolute percentage error
NAR: Nonlinear autoregressive
NARX: Nonlinear autoregressive with exogenous inputs
PACF: Partial autocorrelation function
Q i: ith quarter
RMSE: Root mean square error
SARIMA: Seasonal autoregressive integrated moving average

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Further reading
Chen, Y., Kang, H. and Yang, T. (2007), “A study on the impact of SARS on the forecast of visitor arrivals to
China”, Journal of Asia-Pacific Business, Vol. 8 No. 1, pp. 31-50.
WHO (2020), Coronavirus Disease (COVID-19) - Events as They Happen, Who.int, available at: https://www.
who.int/emergencies/diseases/novel-coronavirus-2019/events-as-they-happen (accessed 17 April 2021).

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Author affiliations
Md Ozair Arshad is based at the Department of Mechanical Engineering, Galgotias College of
Engineering and Technology, Greater Noida, India.
Shahbaz Khan is based at the GLA University, Mathura, India.

Abid Haleem is based at the Department of Mechanical Engineering, Jamia Millia Islamia, New
Delhi, India.

Hannan Mansoor is based at the Department of Computer Engineering, Jamia Millia Islamia, New
Delhi, India.
Md Osaid Arshad is based at the Department of Civil Engineering, Delhi Technological University,
Delhi, India.
Md Ekrama Arshad is based at the Department of Science and Technology, Government
Polytechnic Vaishali, Vaishali Bihar, India.

Corresponding author
Shahbaz Khan and can be contacted at: shahbaz.me12@gmail.com

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