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The Journal of Socio-Economics 40 (2011) 723731
Contents lists available at SciVerse ScienceDirect
The Journal of Socio-Economics
j o u r n a l h o m e p a g e : w w w . e l s e v i e r . c o m / l o c a t e / s o c e c o
Socio-economic determinants of suicide in Japan
Antonio R. Andrs a,b,, Ferda Halicioglu c, Eiji Yamamura d
aAarhus University, Institute of Public Health, Bartholins All 1, 8000 Aarhus C, DenmarkbAssociate researcher, Institute of Economic Analysis & Prospective Studies (IEAPS), Al Akhawayn University, Ifrane, Moroccoc Department of Economics, Yeditepe University, 34755 Istanbul, Turkeyd Seinan Gakuin University, Department of Economics. Fukuokashi Sawaraku Nishijin 6-2-92, 814-8511, Japan
a r t i c l e i n f o
Article history:
Received 12 April 2011
Received in revised form 12 August 2011
Accepted 30 August 2011
JEL classification:
C22
I12
Keywords:
Cointegration
Suicide
Time series
Japan
a b s t r a c t
Japan has the highest suicide rates among the OECD countries and this public health problem seems
to be accelerating in over the recent decades. Investigating and understanding the suicidal behaviour
is of crucial importance to society and health policy makers. Such an investigation could provide with
useful information for those responsible in formulating the national policies on suicide prevention. This
study estimates dynamic econometric models for total, male and female suicides in Japan for the period
of 19572009. Using the ARDL approach to cointegration, we find that the associations of suicide with
sociological factors (divorce and fertility rates) were stronger than those with economic factors (per
capita GDP and unemployment) for females.
2011 Elsevier Inc. All rights reserved.
1. Introduction
Suicide is a very serious public health problem. The World
Health organization (henceforth, WHO) estimates that worldwide
there are approximately one million of deaths from suicide each
year and 20 times this number of people have attempted suicide.
According to many medical professions, suicide is considered to
be the result of depression and other psychiatric disorders ( Mann
et al., 2005). Although Japanese life span is the longest in the world,
it has nevertheless one the world highest suicide rates with nearly
33,000 people killing themselves in 2009. According to statistical
data from the WHO, Japan, in 2004, reports the highest suicide rate
with 24 per 100,000 people among the OECD countries. From 1995
to 2009, the total suicide rate increased from 17 to 25 per 100,000
people.1 Suicide is also associated with substantial economic costs
(with particularly health care costs). In particular, Chen et al.
(2009a) suggested that the costs associated with suicides werearound 197 million USDin 2006 alone even if indirect costs such as
psychological counseling expenditure were not takeninto account.
In comparison, there have been European studies highlighting
Corresponding author.
E-mail address: [email protected] (A.R. Andrs).1 Datasourceis asfollows.Periods 19552004:StatisticsBureau,MinistryofInter-
nalAffairs and Communications(2006).Historical Statisticsof JapanVolume1 (New
Edition). Tokyo: Japan Statistical Association. Periods 20052009: National Police
Agency. http://www8.cao.go.jp/jisatsutaisaku/link/keisatsutyo.html (accessed
16.06.10).
the enormous costs of completed suicides. For instance in Ireland
(Kennelly et al., 2005), the total cost has beenshownto be 2.04mil-
lion Euros and in Scotland 1.88 million Euros (McDaid et al., 2007).
In some Japanese media, the total costs of suicide and depression
was reported to be about 2.7 trillion Yen in 2009 (available at
http://search.japantimes.co.jp/cgi-bin/nn20100908a2.html). Pre-
vention of suicide has been integral part of the Japanese public
health agenda. The Japanese Government aimed to reduce the
annual incidence of suicide and for this purpose implemented
the Basic Act of Suicide Prevention (jisatsu taisaku kihon hou)
in 2006. In addition, to the role of government, informal social
ties regarded as social capital is also thought to play an important
role in preventing suicide in Japan (Yamamura, 2010). In fact,
community based suicide prevention programs were introduced
in Akita prefecture (see Motohashi et al., 2004). For making the
policy effective, it is important to ascertain how and why suicide
rate of Japan is so high based on empirical analysis.Apart from the interest in describing and explaining suicidal
behaviour, employing rates of suicide as a societal well-being indi-
cator has several advantages. First, suicide rates are a more reliable
and objective indicator of well-being compared to self-reported
well-being measures (such as life satisfaction or self-reported hap-
piness). Second, suicide rates do not have the common problems
associated with survey data on self-reported well-being. Self-
reported measures are often challenged on the basis of reliability
and validity (see for an excellent discussion, see Bertrand and
Mullainathan, 2001). It has been also shown that there is a high
correlation between suicide andsubjective well-being at individual
1053-5357/$ see front matter 2011 Elsevier Inc. All rights reserved.
doi:10.1016/j.socec.2011.08.002
http://localhost/var/www/apps/conversion/tmp/scratch_10/dx.doi.org/10.1016/j.socec.2011.08.002http://www.sciencedirect.com/science/journal/10535357http://www.elsevier.com/locate/socecomailto:[email protected]://www8.cao.go.jp/jisatsutaisaku/link/keisatsutyo.htmlhttp://search.japantimes.co.jp/cgi-bin/nn20100908a2.htmlhttp://localhost/var/www/apps/conversion/tmp/scratch_10/dx.doi.org/10.1016/j.socec.2011.08.002http://localhost/var/www/apps/conversion/tmp/scratch_10/dx.doi.org/10.1016/j.socec.2011.08.002http://search.japantimes.co.jp/cgi-bin/nn20100908a2.htmlhttp://www8.cao.go.jp/jisatsutaisaku/link/keisatsutyo.htmlmailto:[email protected]://www.elsevier.com/locate/socecohttp://www.sciencedirect.com/science/journal/10535357http://localhost/var/www/apps/conversion/tmp/scratch_10/dx.doi.org/10.1016/j.socec.2011.08.002 -
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andaggregate level(for instance,Koivumaa-Honkanen et al.,2001).
Unlike as self-reported measures, suicide data is the kind of data
that is more prone to make cross country comparisons. Using self
reported data comparisons are still difficult because of problems
with interpersonal comparisons of utility. Recently, an American
study concluded that the determinants of well-being are the same
determinants of suicide (Daly and Wilson, 2009).
Despite of its importance, and a growing concern for the factors
driving suicide mortality, suicide in Japan has received little atten-
tion. Althoughthere have been some recent attempts,mainly using
panel data techniques, in this direction (e.g. Chen et al., 2009b;
Yamamura, 2010). Traditional theories of suicide (Durkheim, 1951;
Hamermeshand Soss,1974) havebeen tested using timeseries data
for a large number of countries (e.g. Yang, 1992; Yang and Lester,
1990; Yanget al.,1992; Chuang andHuang,1996; Platt andHawton,
2000; Stack, 2000; Chang et al.,2010). Someresearchers have inves-
tigatedthe socioeconomicdeterminants of suicide usingtime series
data for Japan (Yamasaki et al., 2005, 2008). There are however
few studies which employ causality or cointegration framework
to investigate the causality between suicide and its socioeconomic
determinants. A recentstudyis that ofInagaki (2010) who employs
a Vector Autoregressive (VAR) model. But this methodology has
several shortcomings. First, this methodology requires the set of
variables to be split into exogenous and endogenous variables. Sec-ond, the variables should be integrated of order 1.
This study aims at contributing to the empirical studies of
Japanese suicide by applying a relatively new time series cointe-
gration technique known as the Auto Regressive Distributed Lag
(ARDL) bounds testing procedure. The ARDLapproach to cointegra-
tion is preferable to other conventional cointegration procedures
(Engle and Granger, 1987). One of the reasons for preferring the
ARDL approach to cointegration it is that overcome the problem
of potential endogeneity of some regressors and serial correlation,
which might lead to biased estimates of the cointegrating coef-
ficients. Another reason is that this technique does not require
pre-testing forthe order of integrationof theunderlying timeseries.
Moreover, theresults from this approach to cointegration are more
robust in presence of small samples (such as in this study) thanin other cointegration techniques. Finally, as opposed to multivari-
ate cointegration techniques such as Johansen and Juselius (1990),
it allows the cointegration relationship to be estimated by ordi-
nary least squares (OLS) once the lag order of the model is chosen.
In addition to studying the total suicides, we also analysed male
and female suicides separately, as the underlying determinants of
suicide could differ between the sexes (e.g. Andrs, 2005; Chuang
andHuang, 2007; Yamamura, 2010). Understanding the gender dif-
ferences might be also important in informing appropriate policy
formulations. The remainder of this paper is organized as follows.
The next section presents the socio-economic situation of Japan
relatingto thesuicides.Section3 describes our empiricalmodel and
methodological approach. Section 4 displays our empirical results
along with some discussions. Section 5 is the conclusion.
2. Review of the socio-economic situation of Japan
Total life expectancy at birth of Japanese is 82 years old, which
leads the world in longevity (WHO, 2006; Nakao and Takeuchi,
2006). However, suicide rate is obviously higher than other OECD
countries, which becomes the one of major problem in the modern
Japan society (Chen et al., 2009b). Japans suicide problem is very
different from those of other OECD countries because the impactof
the socioeconomic variables on suicide is greater in Japan than in
other OECD countries (Chen et al., 2009b). To implement appropri-
atesuicide prevention policies, it is importantto ascertainhow and
why suicide rate of Japan is so high based on empirical analysis. In
Fig. 1. Changes of per capita GDP.
what follows, we begin with a simple description of the potential
socio-economic factors affecting suicidal behaviour.
As shown in Fig. 1 illustrating changes of real per capita income,
Japan has experienced the rapid economic growth in the post war
period and became among the most developed countries. Japanese
people enjoyed the rise in income and are thought to be satisfied
with this life style change accompanied with economic growth.
Concerning the growth rate of real per capita GDP, it drops con-stantly andto belowzeroseveraltimesafter 1990s.We canseefrom
Fig.2 that the unemploymentratehas been also lowlevel until mid-
1990s, however,exceeded3% aftermid-1990s. This seemsto reflect
the depression period after 1992 when the prosperity of the bub-
ble economy (from mid 1980 to the beginning of the 1990s) came
to an end in Japan. In this period, number of business bankruptcies
also steeply increased in this period because of macro level eco-
nomic stagnation. In particular, it was difficult for owners of small
and medium size enterprise to run business. Economic recession
lead a lot of people to face the difficulty and suffer distress.
Transition of divorce rate in Fig. 3 shares similarity with unem-
ployment rate in the point that after entering the recession period
divorce rate remarkably increased. The increase in divorce rate can
be in part caused by the economic recession. Marriage leads coupleto be integrated into the new social network, which is expressed
as when you get married, you get married for the people around
you (Brinton, 1993, p. 99). Hence, divorce seems to be more stig-
matized in Japan than in the Western countries because of the
greater importance of extended familyand kinship ties in marriage
(Ono, 2006). That is, people who encounter the economic difficulty
morelikely to experience divorce andso losethe psychological sup-
port from family and kinship ties. During the economic depression
period, not only economic difficulty but also social stigma caused
by divorce lead people to suffer from increase of distress in Japan.
In Japan, over 60%of the individuals committingsuicide were iden-
tified as depressive (Nakao and Takeuchi, 2006).
Fig. 2. Changes of unemployment rate (%).
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Fig. 3. Changes of divorce rate (%).
Fig. 4 shows that rates of suicide has obviously decreased from
mid 1950s to 1970, and then slightly increased until mid-1990s
for males and females. For example, in Korea with the similar
socio-cultural background, the remarkable increase of suicide rate
from 1997 to 1998 under the economic recession period (Khang
et al., 2005). However, in case of Korea, not only male but also
female suicide rate increased. It is surprising to observe that in
the end of 1990s suicide rate of male has drastically increasedwhereas that of female was stable. According to Fig. 4, there was
a marked rise in female suicide rates from 1997 to 1998 although
its magnitude was smaller than for male suicide rates. Indeed, in
late 1997, Hokkaido Takushoku Bank (one of major commercial
banks) and Yamaichi Securities (one of Major securities) became
bankrupt. Further 1998, The Long Term Credit Bank of Japan and
the Nippon Credit Bank were nationalized, implying the old eco-
nomicregimes failure (Cargill, 2006). Taken together, these results
imply that the problem of committing suicide became remarkably
serious, especially for males. The question arises why is there dif-
ference of suicide rate between male and female?. An imbalance
of increases in suicide appears to come from the different impact
of various factors between males and females. As pointed out by
Nakao and Takeuchi (2006), the most drastic increase has involvedmiddle-aged males partly because most middle-aged males may
be too busy to visit a clinic when they feel mental distress. There-
fore, the case of Japan is suitable for examining how committing
suicide depends upongenderand differences in the impact of socio-
economic factors.
3. Literature review
3.1. International experience
Sociologists have played an important role in providing the
theory of suicide. Durkheim (1951) viewed the suicide as a soci-
Fig. 4. Changes of rate of suicides. Note: Number of total suicides per total popula-
tion (100,000), number of male suicides per male population (100,000), number of
female suicides per female population (100,000).
ological phenomenon. He argues that suicide is related to both
social integration and social regulation. Economists claim that sui-
cide involves rational economic decision making. Hamermesh and
Soss (1974) were the first to provide an economictheory of suicide.
According to theireconomic model an individual decides to commit
suicide when the discounted expected lifetime utility remaining to
him falls below some threshold level. This model also predicts that
suicide rateswould increase withage, unemploymentand decrease
with income (Hamermesh andSoss, 1974). Recently, Suzuki (2008)
incorporates the concept of income uncertainty within the model
ofHamermesh and Soss (1974). These approaches (sociological and
economics) motivate many of the control variables included in a
variety of econometric studies of macro level determinants of sui-
cide.
According to theHamermesh andSosss model, thehigherfuture
expected income is, the higher is the expected utility; thus, living
is relatively more attractive than committing suicide, and a higher
income should lower suicide rates. However, Durkheim postulates
that higher income levels increase independence (the opposite of
social integration)and might leadto a higher suicide rate.Alongthis
line, Lester (1996) and Unnithan et al. (1994) state that economic
development increases rates of suicide. Both the existing economic
and sociological theories are inconsistent, and they do not permit
a determination of whether income or economic growth may havea positive or negative effect on suicide. Durkheim (1951) suggests
that changes in income are more likely to be relevant for suicide
than the absolute level of income. The empirical evidence for the
effectof income onsuicide is mixed,however. Thoughsomeempir-
ical studies indicate that suicide rates have a positive association
with income (e.g. Hamermesh, 1974; Jungeilges and Kirchgssner,
2002; Viren, 1999), there are many others suggesting the opposite
effect (e.g. Andrs, 2005; Brainerd, 2001; Neumayer, 2003; Chuang
and Huang, 1997, 2007; Minoiu and Rodrguez, 2008; Altinanahtar
and Halicioglu, 2009; Andrs and Halicioglu, 2010). Others have
reported an insignificant effect of income on suicide (Ruhm, 2000;
Cuellar and Markowitz, 2006). The significant negative correlation
effect seems to be stronger for men than for women Qin et al.
(2003).Another economic variable that has received a lot of attention
is the unemployment rate. Unemployment implies less economic
opportunity, lowering an individuals expected income and there-
fore increasing the likelihood of a persons committing suicide.
The unemployment rate is often used as a proxy variable for
economic hardships and lifetime earnings, because measuring an
agents lifetime income is not easy in practice (Koo and Cox, 2008).
But unemployment might be also associated with factors such
as depressive episodes, anxiety, and loss of self-confidence that
might lead directly to suicide. Much of the empirical literature
reports a positive relationship, associating higher unemployment
withhighersuiciderates (forexample,Brainerd,2001;Ruhm, 2000;
Chuang and Huang, 1997, 2007; Lin, 2006; Andrs, 2005; Koo and
Cox, 2008; Minoiu and Rodrguez, 2008). Furthermore, the impactof unemployment might also differ across gender. In particular,
male suicide rates are significantly affected by unemployment, but
female suicide rates are not (Chuang and Huang, 1997).
As mentioned above, Durkheim (1951) indicates that suicide is
influencedby other factors. These factors relateto theway in which
individuals are integrated into a social group that is regulated by
norms and conventions. This sociological approach predicts that
lowerlevels of social integration and regulation are associated with
higher societal suicide rates. From this perspective divorce andfer-
tilityratescan be viewed as indicators of socialintegration. Divorce
can be also a traumatic event for the individuals involved as well
as for other affected parties, and it might lead individuals toward
isolation and reduced poor psychological well-being. Thus, higher
divorce rates might be expected to have a positive correlation with
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suicide rates. Another explanation is that a divorced individual has
lower utility than a married one because marriage has a merce-
nary value (Becker, 1974). Koo and Cox (2008) also suggest that
divorced people have less utility than married people and there-
fore they are more likely to commit suicide. Several studies have
reported a positive association between divorce and suicide (e.g.
Andrs, 2005; Chuangand Huang, 1997, 2007; Kunce andAnderson,
2002; Lester, 1996; Neumayer, 2003). Also, some papers show that
the male suicide rate is more sensitive to divorce than the female
suicide rate (e.g. Koo and Cox, 2008; Andrs, 2005; Yamamura,
2010; Neumayer, 2003). Again, endogeneity concerns are relevant
here, as divorce might be also related to mental healthproblems. It
should be also noted that this variable might capture the influence
of diverse societal problems.Durkheimianarguments of social inte-
gration suggest that increased fertility rates should be associated
with lower levels of suicide, as the presence of children promotes
social and family ties. By increasing social integration, these factors
lower the likelihood of a persons committing suicide. Empirical
research hasdocumented theexistence of a protective effectof fer-
tility against suicide (e.g. Andrs, 2005; Neumayer, 2003; Chuang
and Huang, 2007). However, some studies like Chen et al. (2009b)
and Lester (1995) show that the birth rate has either a positive
impact or no impact on suicide rates. One possible explanation for
the latter result is that childcare may put excessive strain on a par-ent or be too much of an economic burden, thus leading to suicidal
behaviour (Chen et al., 2009b). Endogeneity issues might be rel-
evant here, as better functioning people are more likely to have
children.
Lastly, the gender differences in suicide representa double puz-
zle: Whilst rates of suicide are far higher among males, females
have higher rates of non-fatal attempts. This suggests there maybe
different responses by males and females to the control variables
used in the formalanalysis. In light of thegender differential in sui-
cidal behaviour (e.g. Minoiu and Rodrguez,2008; Altinanahtar and
Halicioglu, 2009; Andrs, 2005; Yamamura,2010), we runseparate
models for males and females. Although the cause of these differ-
ences has not been sufficiently investigated (Yamamura, 2010).
In sum, the formal literature provides ambiguous results on thewayssocioeconomic factors relate to male and female suicide rates.
The existing literature has not come to a firm conclusion about the
correlates of suicide. This is due to different countries employed in
the empirical analysis, more points of the time, and the statistical
techniques employed (time series/cross-section analysis). Never-
theless, of all the variables considered, the results correspondingto
social factors such as divorce and fertility seem to be more robust
than those related to economic factors such as unemployment and
income. Nonetheless, the socio-economic control variables used in
this paper appear to be among the relatively important determi-
nants.
4. Japanese experience
Although, the epidemiological literature has explored the risk
factors of suicide in Japan (e.g. Yamasaki et al., 2008; Motohashi
et al., 2004), there are a few studies exploring the determinants of
suicide in Japan from an economic perspective (Watanabe et al.,
2006; Koo and Cox, 2008; Akechi et al., 2006; Chen et al., 2009b;
Yamamura, 2010; Inagaki, 2010). Watanabe et al. (2006) using
prefecture level data find that unemployment rate and personal
bankruptcy are positively associated with suicide rates. Koo and
Cox (2008) usingtime series datafind thatthe relationship between
unemployment and suicide is significantly positive for males and
females. Akechi et al. (2006) shows that there is an inverted U
shape between alcohol consumption and suicide employing pre-
fecture level data between 1953 and 1986. Chen et al. (2009b)
employing a panel data approach by using Japanese data and
OECD data analyse to what extent suicide in Japan is different
from suicides in other countries. Inagaki (2010) using time series
focuses on the link between income inequality and suicide. He
finds a positive relationship between income inequality proxied
by the Gini index and suicide rates. Kuroki (2010) is the most
recentpaper using Japanese data at municipality level. He provides
evidence that unemployment has a positive significant effect on
male suicide rates and that this effect differs across age groups,
in particular, the largest effect is found in the 5564 age group.
He also finds a negative effect of unemployment on female sui-
cide rates. That is, higher unemployment is associated with lower
female suicide rates. They conclude that the impact of socioeco-
nomic factors on suicide in Japan is greater than in OECD countries.
Lastly, Yamamura (2010) using panel data at prefectural level
suggests that social capital and divorce have an impact on sui-
cide rates and that these effects are different between males and
females. This leads us to anticipate that sociological factors plays
more critical role on determining on suicide rates than other
countries.
Unlike previous studies of suicide in Japan, this work employs
a new recently methodological approach using time series data to
examine how suicide is related to socio-economic factors in Japan
as in the short as well as in the long run. This approach is morerobust in presence of small samples, and allows us to account for
potential endogeneity of the variables included in the empirical
model. Endogenity issues might lead to misleading results in past
empirical studies.
5. Model and methodology
Following the empirical literature on suicide (for an extensive
reviewof the literature, seeLester andYang, 1997), we form the fol-
lowing long-run relationship between suicide, per capita income,
unemployment rate, divorce rate, and fertility variables in linear
form as:
stj = a0 + a1yt+ a2utj + a3dt+ a4ft+ t (1)
where the subscript tindexes time period with t= 1957, . . ., 2009;
j indexes each suicide with j = 0 (total), 1 (male), and 2 (female);
st is suicide rate; yt is per capita real income; ut is the unemploy-
ment rate; dt is the divorce rate; ft is the fertility rate; and t istheclassical error term. All variables are in their natural logarithms
which allow us interpreting the estimated coefficients as constant
elasticities.
Recent advances in econometric literature dictate that the long-
run relation in Eq. (1) should incorporate the short-run dynamic
adjustment process. It is possible to achieve this aim by expressing
Eq. (1) in an error-correction model, known as the EngleGrangers
(1987) approach.
st,j = b0 +
m1
i=1
b1i,jsti,j +
m2
i=0
b2iyti +
m3
i=0
b3iuti,j
+
m4
i=0
b4idti +
m5
i=0
b5ifti + t1 +t (2)
where represents change, is the speed of adjustment param-eter, and t1 is the lagged error term, which is estimated from
the residuals of Eq. (1). The EngleGranger method requires that
all variables in Eq. (1) are integrated of order one, I(1), and that
the lagged error term is integrated order of zero, I(0), in order to
establish a cointegration relationship. If some variables in Eq. (1)
are non-stationary, we may use a new cointegration method. This
procedure is known as ARDL approach to cointegration of Pesaran
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etal. (2001) thatcombines EngleGranger twosteps procedureinto
one by replacing t1 in Eq. (2) with itsequivalent from Eq. (1). t1is substituted by linear combination of the lagged variables as in
Eq. (3):
st,j = c0 +
n1
i=1
c1i,jsti,j +
n2
i=0
c2iyti +
n3
i=0
c3iuti,j
+
n4
i=0
c4idti +n5
i=0
c5ifti + c6st1,j + c7yt1
+ c8ut1,j + c9dt1 + c10ft1 + vt (3)
To obtain Eq. (3), one has to solve Eq. (1) for t and lag the solu-
tion equation by one period. Then, this solution is substituted fort1 in Eq. (2) to arrive at Eq. (3). Eq. (3) is a representation of theARDL approach to cointegration.
Pesaran et al. (2001) approach to cointegration has some
methodological advantages in comparison to other single cointe-
gration procedures. They are as follows: (i) endogeneity problems
and inability to test hypotheses on the estimated coefficients in
the long-run associated with the EngleGranger (1987) methodare avoided; (ii) the long and short-run parameters of the model
in question are estimated simultaneously; (iii) the ARDL approach
to testing for the existence of a long-run relationship between the
variables in levels is applicable irrespective of whether the under-
lying regressors are purely I(0), purely I(1), or a combination of
the two; (iv) the small sample properties of the bounds testing
approach are far superior to that of multivariate cointegration, as
argued in Narayan (2005).
The bounds-testing procedure is based on the F- or Wald-
statistics, and this is the first stage of the ARDL cointegration
method. Accordingly, a joint significance test that implies no
cointegration hypothesis, (H0: c6 = ...... = c10 = 0), against the
alternative hypothesis, (H1: at least one of c6 to c10 /= 0), should
be performed for Eq. (3). The F-test used for this procedure has anon-standard distribution. Thus, Pesaran et al. compute twosets of
critical values for a given significance level with andwithouta time
trend. One set assumes that all variables are I(0), and the other set
assumes that they are all I(1). If the computed F-statistic exceeds
the upper critical bounds value, then the H0 is rejected. If the F-
statistic falls into the bounds, then the test becomes inconclusive.
Lastly, if the F-statistic is below the lower critical bounds value, it
implies no cointegration.
Once a long-runrelationshiphas been established, Eq. (3) is esti-
mated using an appropriate lag-selection criterion. At the second
stage of the ARDL cointegration procedure, it is also possible to
obtain the ARDL representation of the error-correction (EC) model.
To estimate the speed with which the dependent variable adjusts
to independent variables within the bounds-testing approach, fol-lowing Pesaran et al.(2001), the lagged-level variables in Eq. (3) are
replaced by ECt1 as in Eq. (4):
st,j = 0 +
k1
i=1
1i,jsti,j +
k2
i=0
2iyti +
k3
i=0
3iuti,j
+
k4
i=0
4idti +
k5
i=0
5ifti + ECt1 +t (4)
A negative and statistically significant estimation of not only
represents the speed of adjustment but also provides an alternative
means of supporting cointegration between the variables.
Table 1
Unit root results.
Variables ADF PP ERS
st,0 2.66 2.21 1.46
st,1 2.85 2.43 1.43
st,2 2.35 1.98 1.78
yt 1.50 1.23 0.31
ut,0 2.58 2.94 1.53
ut,1 2.51 3.05* 1.54
ut.2 2.63 2.62 1.52dt 3.14 2.59 2.56*
ft 1.89 2.28 1.67
st,0 4.07* 6.24* 4.11*
st,1 3.97* 5.96* 3.71*
st,2 4.15* 6.67* 3.81*
yt 2.79 3.08* 2.52*
ut,0 4.33* 5.16* 3.73*
ut,1 4.54* 5.65* 3.66*
ut,2 4.19* 5.12* 4.20*
dt 3.29* 3.98* 2.28
ft 6.64* 12.3* 5.44*
Notes: Sample levels are 19582009 and differences are 19592009. The critical
values for ADF and PP with a constant and without a trend at the 5% level of signifi-
cance are 2.91. The critical value for ERS with a constant and without a trend at the
5% level of significance is 2.29. All test statistics and critical values are expressed in
absolute terms for convenience. Rejection of unit root hypothesis is indicated with
an asterisk. stands for first difference.
6. Results
Annual data over the period 19572009 were used to estimate
Eq. (3) by the ARDLcointegration procedureofPesaran et al. (2001).
Variable definitions and sources of data are provided in Appendix.
To implementthe Pesaran et al.(2001) cointegrationprocedure,
one has to ensure that none of the explanatory variables in Eq.
(1) is above I(1). In the presence of I(2) or higher variables, the
computed statistics provided by Pesaran et al. (2001) are not valid.
Consequently, the implementation of unit root tests in the ARDL
approach is necessary to ensure that none of the variables included
in the model is integrated of order 2 or beyond. Three tests were
used to test unit roots in the variables: Augmented DickeyFuller
(henceforth, ADF) (1979, 1981), PhillipsPerron (henceforth, PP)
(1988), and ElliottRothenbergStock (henceforth, ERS) (1996).
Unit root tests results are displayed in Table 1. The conditions for
applying the ARDL bounds testing approach are satisfied. In other
words, all variables included in the model are either I(0) or I(1).
Table 2
The results ofFand Wtests for cointegration.
95% LB 95% UB 90% LB 90% UB
Panel A: The assumed long-run relationship: F/W(s0
y, u0,d, f )F-statistic
5.30 3.10 4.35 2.60 3.74
W-statistic
26.51 15.52 21.75 13.01 18.70
Panel B: The assumed long-run relationship: F/W(s1
y, u1,d,f )F-statistic
6.54 3.10 4.35 2.60 3.74
W-statistic
32.72 15.52 21.75 13.01 18.70
Panel C: The assumed long-run relationship: F/W(s2
y, u2,d, f )F-statistic
3.46 3.10 4.35 2.60 3.74
W-statistic
17.31 15.52 21.75 13.01 18.70
If theteststatistic lies between thebounds, thetestis inconclusive. If it is above the
upper bound (UB), the null hypothesis of no level effect is rejected. If it is the below
the lower bound (LB), the null hypothesis of no level effect cannot be rejected.
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Table 3
ARDL cointegration results.
Regressor Coefficient Standard error T-ratio
Panel A: Estimated long-run coefficients using the ARDL approach for aggregate suicide model: ARDL (1,1,1,0,1) selected based on the Akaike Information Criterion,
19572009
Dependent variable st,0yt 0.4106* 0.1397 2.9385
ut,0 0.2024 0.1922 1.0533
dt 0.8832* 0.3990 2.2134
ft 0.7003**
0.3352 1.7134Constant 0.3437 1.4435 0.8130
Panel B: Error correction representation results
Dependent variable st,0yt 0.9085* 0.3787 2.3988
ut,0 0.0586 0.0095 0.6116
dt 0.3709* 0.1301 2.8501
ft 0.0575 0.1222 0.4712
ECt1 0.4199* 0.1057 3.9714
Diagnostic tests
R2 0.41 F-statistic 8.89* 2SC
(1) 0.06 2FF
(1) 0.73
RSS 0.12 DW-statistic 1.94 2N
(2) 19.26 2H
(1) 2.49
RSS stands for residual sum of squares. T-ratios are in absolute values. 2SC
, 2FF
, 2N
, and 2H
are Lagrange multiplier statistics for tests of residual correlation, functional form
mis-specification, non-normal errors and heteroskedasticity, respectively. These statistics are distributed as chi-squared variates with degrees of freedom in parentheses.
The critical values for 2(1) = 3.84 and 2(2) = 5.99 are at 5% significance level. ***Significance at 10% level.* Significance at 1% level.
**
Significance at 5% level.
Visual inspections of the variables in logarithm show no structural
breaks.
Eq. (3) is estimated in two stages. In the first stage of the ARDL
procedure, the long-run relationship of Eq. (1) was established
in two steps. First, the selection of the lag length on the first-
differenced variables for Eq. (3) was obtained from unrestricted
Vector Autoregression (VAR) by means of Akaike Information cri-
teria (AIC) and the Schwarz Bayesian Criterion (SBC). The results
suggest the optimal lag length as 2, but this stage of the results is
not presented here to conserve space. Second, a bound F-test was
applied to Eq.(3) in order to determinewhetherthe dependentand
independent variables are cointegrated in each model. The resultsof the bounds F-testing are reported in Table 2. From Table 2, it can
bee seen that the computed Fstatistics are above the upper bound
values inthe casesof total andmalesuicidesmodels thus,implying
cointegration relations.
The ARDL cointegration procedure was implemented to esti-
mate the parameters of Eq. (3) with maximum lag-order set to 2,
which is selected on the basis of AIC, SBC and R2 selection criteria.This stage involves estimating the long-run and short-run coeffi-
cients of Eqs. (1) and (2).
The summary ARDL results with some diagnostic tests for
total suicides, male suicides, and female suicides are presented in
Tables 35, respectively. The overall empirical results appear to be
rather satisfactory. First, income enters negatively in the regres-
sions for overall, male, and female suicides. The long-run elasticity
of suicide with respect to income is highest in the case of male sui-
cides. This is
0.54, suggesting that one per cent increase in percapita income will decrease the number of male suicides by 0.54%
whilst other factors remain constant. The long-run income elastic-
ities with respect to total and female suicides are0.41 and0.36,
respectively. This finding implies that males are more vulnerable
Table 4
ARDL cointegration results.
Regressor Coefficient Standard error T-ratio
Panel A. Estimated long-run coefficients using the ARDL approach for male suicide model: ARDL (1,1,0,0,0) selected based on the Schwarz Bayesian Criterion, 19572009
Dependent variable st,1yt 0.5420* 0.1297 4.1785
ut,1 0.0133 0.1755 0.7581
dt 1.1635* 0.4030 2.8870
ft 0.0456 0.1716 0.2661Constant 2.3613** 1.2274 1.9239
Panel B. Error correction representation results
Dependent variable st,1yt 1.0050* 0.3704 2.7128
ut,1 0.0560 0.0812 0.6890
dt 0.4896* 0.1382 3.5428
ft 0.0192 0.0712 0.2697
ECt1 0.4208* 0.0944 4.4551
Diagnostic tests
R2 0.47 F-statistic 10.6* 2SC
(1) 0.34 2FF
(1) 1.31
RSS 0.15 DW-statistic 2.11 2N
(2) 18.10 2H
(1) 2.41
RSS stands for residual sum of squares. T-ratios are in absolute values. 2SC
, 2FF
, 2N
, and 2H
are Lagrange multiplier statistics for tests of residual correlation, functional form
mis-specification, non-normal errors and heteroskedasticity, respectively. These statistics are distributed as chi-squared variates with degrees of freedom in parentheses.
The critical values for 2(1) = 3.84 and 2(2) = 5.99 are at 5% significance level. ***Significance at 10% level.* Significance at 1% level.
**
Significance at 5% level.
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Table 5
ARDL cointegration results.
Regressor Coefficient Standard error T-ratio
Panel A. Estimated long-run coefficients using the ARDL approach for female suicide model: ARDL (1,0,0,0,1) selected based on the R-Bar Squared Criterion, 19572009
Dependent variable st,2yt 0.3677* 0.2491 18.0085
ut,2 0.0197** 0.3431 1.7628
dt 0.8844 0.6168 0.2570
ft 0.4974* 0.4241 2.0300
Constant 0.6752 2.8321 0.2384
Panel B. Error correction representation results
Dependent variable st,2yt 0.0869*** 0.0565 1.5367
ut,2 0.0046 0.0818 0.0570
dt 0.2091** 0.1127 1.8552
ft 0.1197 0.1251 0.9564
ECt1 0.2364* 0.0899 2.6297
Diagnostic tests
R2 0.21 F-statistic 3.98* 2SC
(1) 0.48 2FF
(1) 1.10
RSS 0.13 DW-statistic 1.84 2N
(2) 22.41 2H
(1) 0.16
RSS stands for residual sum of squares. T-ratios are in absolute values. 2SC
, 2FF
, 2N
, and 2H
are Lagrange multiplier statistics for tests of residual correlation, functional form
mis-specification, non-normal errors and heteroskedasticity, respectively. These statistics are distributed as chi-squared variates with degrees of freedom in parentheses.
The critical values for 2(1) = 3.84 and 2(2) = 5.99 are at 5% significance level.* Significance at 1% level.
** Significance at 5% level.
*** Significance at 10% level.
to income loss than females. However, the magnitude of this effect
is rather minimal. Second, unemployment rates are positively and
significantly associated with female suicides. The long-run partial
elasticity of suicides with respect to unemployment rates is 0.01,
indicating that a 1% rise in unemployment rates will trigger an
increase infemale suicides by about 0.01%.Although there seems to
bethe almostsameimpactexists inthe case ofthe male suicides but
that is not statistically significant. Hence one argues broadly that
the impact of male and female unemployment rates on suicides is
identical. Gender seems to have no special effect on a suicide deci-
sion, whenan individual becomes unemployed. Third, divorce rates
are positively correlated with suicides but are statistically insignif-
icant in the case of female suicides. Male population appears to besuffering more as a result divorce since the long-run elasticity of
divorce rate with respect to male suicides is 1.16, suggesting that
a 1% increase in divorce rates will rise the male suicides by 1.16%
which is the stronger determinant of suicide in the entire analy-
sis. Finally, we find a statistically significant negative association
between fertility rates andsuicides only in the case of the total sui-
cides. Thus, a 1% rise in the total fertility rates will drop the total
number of suicides by 0.70 whilst the other explanatory factors are
constant. The long-run elasticities of suicides in respect to fertil-
ity for male and female suicides appears to be in wrong signs. In
regards to the relative magnitude of the explanatory variables in
this study, the fertility rate seems to be the second most important
factor in explaining suicides, followed by real per capita income
and unemployment rates.Tables 35 also report the coefficients of coefficients of ECt1
the error correction model. All coefficients of ECt1 are statis-
tically significant and have the negative expected sign in all
models. This situation provides further confirmation for cointe-
gration relationships between variables of total and male suicides
models as well as suggesting an alternative means of long-run
relationship in the case of female suicide model. The magnitude
of the speed of equilibrium is relatively low, since their values
are less than 0.5. The lowest error correction coefficient appeared
in the female regression model, which means that about 25% of
disequilibrium is corrected every year. As the suicide is a long-
term phenomenon, the short-run elasticities will have no real
impact in policy designing therefore we are not evaluating them
further.
7. Summary and conclusions
This paper,from a socioeconomic point of view, investigates the
determinants of suicides in Japan for the time span between 1957
and 2009. Unlike earlier studies, this paper employs a relatively
recent econometric procedure, the ARDL approach to cointegra-
tion, which has been utilized to obtain the long-run elasticities of
the suicides with respect to the total, male and female suicides.
To our knowledge, this paper is the first paper to apply an ARDL
approach to examine the determinants of suicide in Japan. This
approach seems to have several potentialadvantages as it needs no
a large number of observations to guarantee the robustness of the
estimators and performance of the statistical tests. Furthermore,the choice of the suicide static model could influence the analysis.
Individuals might respond withsome delayed to changes in socioe-
conomic factors. In this case, suicides are explained by current and
lagged differenced values of realper capita income,unemployment,
and divorce rates.
We show that in the long run, the divorce is the highest suicide
cause and the Japanese men seem to be suffering particularly from
this situation. The second most important determinant of the sui-
cidesin Japan is alsoa sociologicalfactor,fertility rates. As expected,
the female population are more affected with the decreasing level
of fertility rates. Combining these two suicide causes, one may
argue that sociological factors are more dominant than economic
factors in the case of Japanese suicides, which is inconsistent with
Chen et al. (2009b). This might be partly because that Chen et al.(2009b) uses the panel data of OECD countries to make a compari-
sonbetween Japan and other OECD countries. Forrobustness check
of this paper by comparing Japan and other OECD countries, it is
required to use time series data of other OECD countries to conduct
ARDL estimation in the future studies. Furthermore, the economic
determinants of suicides in Japan appear to be moderate in mag-
nitude and similar in both sexes indicating that male and female
participation to work and sharing the burden of economic diffi-
culties are almost the same. Our results support the existence of a
longrun relationship between socio-economicfactorsand suicides,
regardless of gender.
Finally, recommendations for suicide prevention are generally a
combination of strategies targeting high-risk groups and strategies
targeting a whole population. The findings of this study reveal that
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government policies should promote family cohesion and provide
economic incentives to raise birth rates, as these policies will be
effective in lowering suicide rates.
Acknowledgements
The authors are grateful to an anonymous referee for his/her
useful commentsand suggestions on an earlier version of thiswork.
Appendix A. Appendix
Data Definitions and Sources
All data were collected online with the provided internet links
below:
st,j arecrude suicide rates fortotal,male and females per100,000
in logarithm.
Source: Period 19552004: Statistics Bureau, Ministry of Inter-
nal Affairs and Communications (2006). Historical Statistics
of Japan Volume 1 (New Edition). Tokyo: Japan Statisti-
cal Association. Period 2005-2009: National Police Agency.
http://www8.cao.go.jp/jisatsutaisaku/link/keisatsutyo.html
(accessed 16.06.10).
yt is per real capita income in logarithm. Base year is 1990.Source: Period 19552003: Statistics Bureau, Ministry of Inter-
nal Affairs and Communications (2006). Historical Statistics of
Japan Volume 1 (New Edition). Tokyo: Japan Statistical Association.
Period 20042009: Cabinet office of Government of Japan.
http://www.esri.cao.go.jp/jp/sna/qe101-2/gdemenu ja.html
(accessed 16.06.10).
ut,j are unemployment rates for total, male and females in loga-
rithm.
Source: Period 19552009: Statistics Bureau, Ministry of
Internal Affairs and Communications. http://www.stat.go.jp/
data/roudou/longtime/03roudou.htm#hyo 1 (accessed 16.06.10).
dt is divorce rate per 1000 in logarithm.
Source: Period 19552003: Statistics Bureau, Ministry of Inter-
nal Affairs and Communications (2006). Historical Statistics of JapanVolume 1 (NewEdition). Tokyo: JapanStatisticalAssociation.Period
20042009: Ministry of Health, Labour, Welfare.
http://www.mhlw.go.jp/toukei/saikin/hw/jinkou/suikei09/
index.html (accessed 16.06.10).
ft is fertility rate per 1000 in logarithm.
Source: Period 19552003: Statistics Bureau, Ministry of
Internal Affairs and Communications (2006). Historical Statis-
tics of Japan Volume 1 (New Edition). Tokyo: Japan Statistical
Association. Period 20042009: Ministry of Health, Labour, Wel-
fare. http://www.mhlw.go.jp/toukei/saikin/hw/jinkou/suikei09/
index.html (accessed 16.06.10).
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