The British Journal of Psychiatry (2000) 177: 366-369
© 2000 The Royal College of Psychiatrists
Seasonal variation in suicides: diminished or vanished
Experience from England and Wales, 1982-1996
PAUL YIP, PhD
Department of Statistics and Actuarial Science, The University of Hong
Kong
ANNE CHAO, PhD
Institute of Statistics, National Tsing Hua University, Hsinchu,
Taiwan
CALVIN CHIU, MSc
Department of Statistics, Harvard University, MA, USA
Correspondence: Paul Yip, Department of Statistics and Actuarial Science, The University of
Hong Kong, Pokfulam Road, Hong Kong
Declaration of interest None.

ABSTRACT
Background Seasonal variation in suicidal death has been observed
in
many countries. In particular, a cyclic variation was found
for both men and
women in England and Wales in the 1960s and
1970s. Men showed a single
12-month cycle whereas women showed
two cycles.
Aims To re-examine the seasonal variation in suicides in England and
Wales for the period 1982-1996.
Method A harmonic analysis was used to detect the seasonality of the
suicide data.
Results The seasonal effect on suicide is greatly diminished in
England and Wales. This is shown by the reduced amplitude and smaller
proportion of variance accounted for by the season.
Conclusions The seasonal effect on suicide has either diminished or
vanished.

INTRODUCTION
Seasonal variation in deaths by suicide is an important study
in terms of
understanding the possible sociological and biological
determinants of suicide
and its prevention. Spring peaks for
males and spring and autumn peaks for
females were found in
the UK (
Barraclough
& White, 1978;
Meares
et al, 1981),
Australia
(
Eastwood & Peacocke, 1976;
Parker & Walter, 1982),
Finland (Nayha,
1982,
1983) and Italy (Micciolo
et al,
1989,
1991). A spring and late
summer peak and a trough
in winter months were found for suicides for both men
and women
in the USA (
Lester,
1971;
Lester & Frank,
1988). Massing
& Angermeyer
(
1985) give a comprehensive
account of the
effects of season on suicides in the 1960s and 1970s. Recently,
a harmonic analysis was applied to examine suicides in Australia
and New
Zealand. Only one cycle for both men and women was
observed
(
Yip et al, 1998). A
similar finding was also observed
in Hong Kong and Taiwan
(
Ho et al, 1997). The
present study
attempts to examine seasonal effects on suicides in England
and
Wales with respect to gender, age group and method of suicide.
We have two
objectives: to verify the findings in Meares
et al
(
1981) and Barraclough and
White (
1978) about the seasonal
effect in England and Wales, i.e. men showed a single 12-month
cycle, whereas
women showed two cycles; and to investigate
whether seasonal variation is
found more strongly in some subgroups
of the population (e.g. by age or method
of suicide) than in
others.

METHOD
The Office for National Statistics (England & Wales) provided
data for
all deaths by suicide for the period 1982-1996. Information
on age, gender,
method and month of suicide was also made available.
The data included here
relate to cases where judicial inquiries
established that the cause of death
was suicide. They were
coded in the range E950-959 of ICD-10
(
World Health Organization,
1992).
The chosen period enabled comparison with results obtained
in the 1960s and 1970s (
Barraclough &
White, 1978;
Meares et
al, 1981).
The seasonal variations in suicides were examined in three ways. First, the
number of suicides in England and Wales for each month of the period 1982-1996
was plotted separately for each gender. Second, a daily mean suicide incidence
and cumulative number of suicides were calculated for each month of the study
period. Third, a harmonic time series model was applied to different genders,
age groups and methods of suicide. The method of analysis was similar to that
employed by Barraclough & White
(1978), Micciolo et al
(1991), Ho et al
(1997) and Yip et al
(1998). In this model, the
variation in suicides between the months is described as the sum of the
sinusoidal curves. The seasonal variation consists of those components with
cycles that repeat themselves an exact number of times per year. Let
Ai be the number of suicides for month i; for a
period of 15 years (180 months),
where
aj and
bj are constant
(
j=1,..., 90),
ao is the mean suicide number and
is commonly referred to as the
jth harmonic of
Ai
with period 15/
j years and frequency per annum
j/15. The
harmonics with
j=15, 30, 45, 60, 75 and 90 have periods of 1,
1/2,
1/3, 1/4, 1/5 and 1/6 years and frequencies per annum
of 1, 2, 3, 4, 5 and 6,
respectively. For example, one such
sinusoidal curve is that with a period of
6 months (1/2 year),
which has just two peaks and two troughs in each year.
These
harmonics have a cycle that repeats an exact number of times
per year
and follows the same pattern in years as any combinations
of such harmonics.
The quantities
aj and
bj are estimated
so as to give the best fit to the data, and they describe the
amplitudes of
the separate sinusoidal components. The significance
of a particular component
j is ascertained by testing whether
aj and
bj are significantly different from zero; if they are
not,
it may be concluded that there is no seasonal variation.
It is assumed that
the total variance of the distribution of
the monthly suicide data can be
broken down into three components:
random, seasonal and non-seasonal. In this
way it is possible
to calculate the percentage of total variance attributable
to seasonal variation, as well as to random and non-seasonal
variation. Under
the alternative hypothesis, that the variation
is purely random, the monthly
totals may be considered as independent
identically distributed Poisson random
variables. The details
of testing the significance of the different components
of
the variation can be found in Pocock
(
1974), Barraclough &
White (
1978) and Yip
et
al (
1998).

RESULTS
A total of 59 608 (43 229 males and 16 379 females) suicides
were
identified in England and Wales for the period 1982-1996.
The age-specific
suicide rates by gender for the study period
were plotted and are shown in
Fig. 1. A statistically
significant
decreasing trend was observed in the group (male and female)
aged
60 years or over (
P <0.05). On the other hand, an increase
in the
suicide rate among males of age 15-24 years was noted
(
P <0.05).
Suicide rates increased with age among females,
but not among males. Males
aged 25-39 years have shown the
highest rate since 1994. The monthly
distribution of suicides,
for males and females is shown in
Fig. 2. The cumulative number
of suicides for both males and females, and the monthly mean
number of
suicides per day are shown in
Table
1 and
Fig. 3,
respectively. The assumption of even distribution of suicides
was rejected
(
P <0.01): December had a trough for both males
and females.
Table 2 shows the results of
harmonic analysis by gender. Only 15 and 17% of the total variations can be
explained by the seasonal component for males and females, respectively. The
effects of all seasonal harmonics are marginally statistically significant,
with P
0.05. In order to examine the possible determinant
factors of season by different subgroups, the figures for age and methods of
suicide were also subjected to the same analysis. The results obtained on the
seasonal components (not shown here) are not statistically significant.

DISCUSSION
The present study suggests that the marked seasonal fluctuation
in suicide
rates found in England and Wales in the 1960s and
1970s appears to be
diminishing, and in some cases it has vanished
completely
(
Barraclough & White, 1978;
Meares et al, 1981).
Barraclough & White (
1978)
used the same method as described
here. They examined the seasons during the
period between 1968
and 1972 and found that 49.3% of the variation could be
explained
by season, with the adjusted ratio 2.5:1 of the components of
all
seasonal harmonics to random. The effect of season on suicide
during the
period 1982-1996 accounts for only 15-17% of the
variation. The results
suggest, therefore, a significant reduction
in the proportion of variance
accounted for by season. We examined
the possible confounding factors, such as
age and method of
suicide, and found nothing to be significant. Also, we
included
the undetermined causes of death (E980-989) in the analysis
and
similar results were obtained. Seasonal components were
not significant.
Reduction in seasonal fluctuation observed in other countries
Similar findings using the same harmonic analysis were obtained in other
countries: for example, Micciolo et al
(1989) suggested that 48-65% of
the variance in Italy's suicide data in the 1970s was explained by seasonal
components; in the 1980s and 1990s this figure was only 25-32% in Hong Kong
and Taiwan (Ho et al,
1997), and 3-17% in Australia and New Zealand
(Yip et al,
1998).
Significant reduction in suicides among the widowed and divorced
The reduction of the seasonal component can be explained by the significant
reduction in suicides among the widowed and divorced in England and Wales for
the past two decades. In fact, the decrease in suicide rates in England and
Wales from the widowed and divorced groups accounts for most of the overall
fall in the suicide rate for men and women. For example, the suicide rates for
males and females aged 60 years or over have fallen from 18.2 to 11.1 and from
10.9 to 4.0, respectively, for the period 1982-1996. The precise reasons for
the decrease among the widowed and divorced, especially among the elderly, are
yet to be determined. It has been shown that in Finland the autumn peak is
related to marital status. There was a high frequency of suicides among the
divorced (and possibly widowed) in September. Furthermore, divorced males, who
are known to be located in a lower than average position in the social scale,
might be claimed to be liable to suicide in autumn, owing to the increased
unemployment rate at that time of the year
(Nayha, 1983; Yip, 1997). Reduction of
suicide for the two groups would have an impact on the seasonal variations in
suicides.
Change of lifestyle
Durkheim (1897) believed
that seasonal variation in suicidal behaviour was determined by the intensity
of communal life and activities. Technological development in
telecommunications and the fact that people tend to be connected
more often than before (for example, by mobile phones, e-mail and the
internet) and also the different activities and social contacts nowadays, all
may play a part in determining the seasonal effect on suicide.
The exact impact of these changes on the seasonal variation in suicides is
far from clear, but it is not surprising to see a reduction in the seasonal
influence on the distribution of suicides.
In conclusion, the present study found that the seasonal effect on suicides
in England and Wales is less obvious than previous studies suggested. The
present finding challenges the existence of seasonal effects and predicts that
seasonal variation in suicides will disappear in the new millennium.

Clinical Implications and Limitations
CLINICAL IMPLICATIONS
- Suicide risk was more uniformly distributed throughout the year than
before, which might have implications for planning support services for those
at risk of or attempting suicide.
- Sociocultural factors may play a more significant role in determining
the seasonal effect in suicides.
- The decrease in suicides among the high-risk groups of the widowed and
divorced is encouraging. It is important to understand the reason(s) in order
to be able to reduce the suicide rates further in England and Wales.
LIMITATIONS
- The results would be more statistically powerful if a longer series of
data were available, although 15 years of data are quite sufficient.
- The effect of underreporting of suicides on the seasonal effect is yet
to be determined.
- We were unable to determine the biological effect (e.g. seasonality in
suicide mirroring seasonality in onset of biological depression and mania) on
the reduction of seasonal variation of suicide.

ACKNOWLEDGMENTS
We are grateful to James Thorburn and the three referees for
the very
useful suggestions and to the Office for National
Statistics and the Office of
Population Censuses and Surveys
(England & Wales) for supplying the data
for the present
study. This work is supported by a CRCG grant from the
University
of Hong Kong.

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Received for publication September 6, 1999.
Revision received May 17, 2000.
Accepted for publication May 18, 2000.
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