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How does the economy affect a religious phenomenon? A panel approach to international pilgrimages to the Shrine of Fátima Cover

How does the economy affect a religious phenomenon? A panel approach to international pilgrimages to the Shrine of Fátima

Open Access
|Nov 2023

Figures & Tables

Figure 1:

Portuguese international tourism

Source: World Bank (2020)

Figure 2:

Official pilgrims

Source: Belucio et al. (2020)

Table 1:

Statistical description of the data

VariableObs.MeanStand. dev.MinimumMaximum
pil2904307.659111.461069540
gdppc2901927727639316112323.8437500000
depa2902240000025500000261000143000000
une2908.125.140.2927.33
exc29097.618.4269.42129.96
lpil2906.9631.7062.30311.150
lgdppc29011.3481.9899.41917.439
ldepa29016.3151.23012.47218.779
dlpil2610.1450.727−1.9013.203
dlgdppc2610.0140.035−0.1550.215
dldepa2618420582981744−1720000018400000
dune2610.0681.146−3.0726.603
dexc261−0.7985.086−21.25112.405

[i] Notes: ‘l’ in front of the variables means that the value was transformed into a natural logarithm; Stand. Dev. denotes standard deviation; rates cannot be transformed into a natural logarithm due to statistical restrictions.

Table 2:

Panel unit root tests

Maddala & Wu (1999) Panel Unit Root test
Specification without trendSpecification with trend
VariableslagsChi-Squarep-valueVariableslagsChi-Squarep-value
lper072.8780.090lper086.0450.010
dlper0303.2720.000dlper0277.7060.000
lgdppc055.5460.5670lgdppc0455.4520.000
dlgdppc0865.5270.000dlgdppc0681.7560.000
une0101.8130.000une0370.9160.000
dune0402.5460.000dune0273.3730.000
exc066.3220.212exc0124.3490.000
dexc0318.0980.000dexc0225.5990.002
ldepa032.5290.997ldepa0112.730.000
dldepa0213.4540.000dldepa0239.4020.000
Pesaran (2007) Panel Unit Root test (CIPS)
Specification without trendSpecification with trend
VariableslagsZt-barp-valueVariableslagsZt-barp-value
lper0−1.4360.075lper0−2.1960.014
dlper0−6.9650.000dlper04.6180.000
lgdppc00.1070.542lgdppc00.8070.210
dlgdppc0−3.6560.000dlgdppc01.5350.062
une0−1.4950.067une0−2.0370.021
dune0−5.1260.000dune00.5090.305
exc0−2.1790.015exc00.3230.627
dexc0−4.2230.000dexc0−2.9780.001
ldepa00.8820.811ldepa02.0590.980
dldepa0−1.6530.049dldepa0−1.5590.060

[i] Notes: *, *** denote statistical significance at the levels of 10% and 1%, respectively; Maddala & Wu (1999) Panel Unit Root test assumes the cross-sectional independence and H0: series in l(1). Pesaran (2007) Panel Unit Root Test (CIPS) assumes that cross-sectional dependence is in the form of a single unobserved common factor and H0: series is I(1)

Table 3:

Variance inflation factor statistics

VariableVIF
Lgdppc1.10
Exc1.09Mean VIF1.07
Une1.06
Ldepa1.04
Dlgdppc1.60
Dune1.48Mean VIF1.33
Dldepa1.17
Dexc1.08

[i] Note: Dependent variables are the number of pilgrims in the natural logarithm and the first difference, respectively.

Table 4:

Correlation matrix and cross-sectional dependence (CD)

Correlation matrixCross-sectional dependence
lpillgdppcUneexcldepaCD-testp valuecorrabs(corr)
lpil129.270.0000.4590.500
lgdppc−0.2629*135.940.0000.5640.664
une0.4568*−0.1734*111.350.0000.1780.498
exc−0.0152−0.2436*−0.0496113.830.0000.2170.575
ldepa0.3892*−0.07820.1281*0.1287*131.870.0000.5000.566
dlpildlgdppcDunedexcdldepa
dlpil123.320.0000.3860.473
dlgdppc0.2009*128.160.0000.4660.541
dune−0.2057*−0.5664*121.140.0000.3500.517
dexc0.1472*0.1586*−0.1373*15.600.0000.0930.403
dldepa0.1574*0.3093*−0.1486*0.2563*18.190.0000.1350.305

Note: The CD test has N(0,1) distribution under H0: cross-sectional independence.

* denotes statistical significance at 5%.

Table 5:

Hausman test

FE vs. REFE vs. RE
Chi2(8) = 151.74***99.99***
Default option by StataSigmamore option by Stata

Notes:

*** denotes significance at the 1% level.

Table 6:

Specification tests

StatisticsProbability
Modified Wald test275.610.0000
Pesaran's test19.9450.0000
Wooldridge test33.9750.0000

[i] Notes: H0 of Modified Wald test: homoscedasticity; H0 of Pesaran’s test: residuals are not correlated and follow a normal distribution; and H0 of Wooldridge test: no first-order autocorrelation.

Table 7:

Estimation results (corrected shocks)

Dependent Variable: DLPILCoefficientsFECoefficientsFE-DK
Constant−41.51392***−41.51392***
jap2016−2.82544***−2.82544***
ndl20172.047733***2.047733***
Dldepa2.35E-082.35E-08**
Dlgdppc2.760323**2.760323**
Dexc0.013365*0.013365*
lpil(−1) (ECM)−0.9630423***−0.9630423***
Diagnostic statistics
N261261
R20.52330.5233
F statF(9, 223) = 27.21F(9, 8) = 4874.67
Prob******

[i] Notes: ***, **, * denote statistical significance at 1%, 5% or 10% levels, respectively; the Driscoll & Kraay (1998) standard errors were used to estimate the models.

Figure 3:

Residues of estimation

Source: Authors’ elaboration

Table 8:

Impacts and speed of adjustment

Dependent Variable: DLPILCoefficientsFECoefficientsFE-DK
Short-term impacts
Dldepa2.35E-082.35E-08**
Dlgdppc2.760323**2.760323**
Dexc0.013365*0.013365*
Long-term impacts
ldepa(−l)1.133986***1.133986***
lgdppc(−l)2.8l2038***2.812038***
une(−l)−0.0381511−0.0381511***
Speed of adjustment
ECM−0.9630423***−0.9630423***

[i] Notes:

[ii] ***, **, and * denote statistical significance at 1%, 5% and 10% levels, respectively; the ECM denotes the coefficient of the variable LPIL lagged once.

Figure 4:

Resume of results

Source: Authors’ elaboration

DOI: https://doi.org/10.2478/ejthr-2023-0010 | Journal eISSN: 2182-4924 | Journal ISSN: 2182-4916
Language: English
Page range: 110 - 124
Submitted on: Aug 2, 2022
Accepted on: Jul 27, 2023
Published on: Nov 18, 2023
Published by: Polytechnic Institute of Leiria
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2023 Matheus Belucio, José Alberto Fuinhas, Carlos Vieira, published by Polytechnic Institute of Leiria
This work is licensed under the Creative Commons Attribution 4.0 License.