Comparing attendances and memberships in the Australian football league: the case of Hawthorn.
Lenten, Liam J.A.
Introduction
The sports economics literature is abundant with studies of models
of match attendance estimation and determination. A detailed survey on
this literature is provided by Borland and Macdonald (2003). For a few
examples covering different sports, sample periods, factors and
methodologies, the reader is referred to inter alia, Peel and Thomas
(1988), Hyndes and Smith (1994) and Butler (2002). The economic
intuitive appeal of undertaking such an exercise is that attendances
represent a way of measuring the underlying demand for sport. One useful
starting point for AFL literature pursuing this theme is Borland and Lye
(1992), who found that an important determinant of attendance is habit
(as proxied by lagged attendance). While this finding may suggest that
AFL fans are highly tribal and loyal, empirical evidence from various
professional sports leagues around the globe indicates that attendances
are higher for teams when they are doing well in the current season,
ceteris paribus. Other contributions to the literature on attendances
for AFL matches include those from Fuller and Stewart (1996) and Lenten
(2009).
Throughout much of the 1990s, demand for top-flight Australian
Rules football, as measured by attendances at AFL matches, rose
dramatically. (2) While improvment in competitive balance was one factor
at this time (Booth 2004), there were numerous other reasons for this.
These reasons included aggressive marketing, market success of the new
non-Victorian clubs, home ground aggregation of Melbourne-based teams,
match scheduling, and expansion of the finals series--see Lenten (2011:
375-378) for an extended description of these factors. One other factor
identified has been the spectacular growth in club memberships that
occurred contemporaneously, driven by a more specific range of reasons.
Lenten (2011: 377) identifies revelations that some Melbourne-based
clubs such as St.Kilda, Richmond and the Western Bulldogs were in
desperate financial trouble (Linnell 1995, chapter 16); and more
obviously, the near-merger in 1996 of Hawthorn and Melbourne, as two
such reasons.
Since membership has previously been largely overlooked as an
alternative measure of demand, this article proposes the idea that
long-range time-series membership data is a very useful source of
empirical information about the nature of demand for AFL football. (3)
The intention of this study is not so much to explain in intricate
detail the determinants of club memberships. Rather, it is a formative
attempt to understand the basic differences between memberships as
opposed to attendances as a form of demand, so that the preliminary
results provided here might then indirectly pose a number of
possibilities for future research. The chosen approach is similar to
that of Shaw and McDonald (2005), except in a time-series (rather than
cross-sectional) framework.
The notion of looking at memberships (as with attendances), also
has intuitive economic appeal, as memberships essentially represent a
form of second-degree price discrimination. (4) This is because they
invariably involve some form of entry entitlement to x games once the
membership is purchased, thus the price discrimination is on the basis
of quantity (defined as number of games attended). Thus, some fans will
often take this into consideration when deciding whether to purchase a
membership. A further distinctive feature of the AFL is that the vast
majority of the clubs have a legal structure whereby the members are
effectively the owners of the club, and therefore have voting rights at
Annual General Meetings.
Also, AFL (attendance and membership) data contain a number of
desirable qualities that make them highly suitable as an indicator of
demand for Australian Rules football. One reason why AFL attendance data
are excellent for this purpose is that historically a low number of
home-and-away games are sold out fully. In the formative days, this was
because of the large standing sections in the various Melbourne suburban
grounds. For example, Hawthorn's first home ground, Glenferrie
Oval, had a recorded maximum attendance of 36,000 for a match against
Carlton in 1965, despite having an official (current) listed capacity of
10,000. In recent years, as demand has grown, and standing areas have
disappeared as the game has gone national, the low sell-out rate has
been maintained effectively by home ground aggregation to a much smaller
number of significantly larger stadiums in Melbourne. Furthermore,
pricing is not a huge issue within this series, as AFL entry and
membership pricing has typically been stable, and demand has always been
very price-inelastic--an obvious characteristic of highly habitual and
loyal fans. Furthermore, membership data is generally just as salient a
measure of demand for similar reasons, since quotas have not been
commonplace historically among AFL teams.
The structure of this article proceeds in the following fashion:
the next section elaborates on the economic relevance of distinguishing
memberships from attendances as a demand measure for sport. Following
that, there is an extended description of the membership data to be
utilised in this study. The main sets of results derived from the
correlation analysis are then revealed in the penultimate section.
Finally, the article concludes by summarising the key results and posing
possibilities for future research.
Attendances and Memberships as Segmented Markets
In establishing the motivation for this study, it is crucial first
of all to examine the conceptual differences between attendances and
memberships as alternative forms of demand. Firstly, the market for
attendance includes all 'consumers'--not only those usually
referred to in the sports economics literature as fans, but also people
that are marginally interested in the AFL who attend for other reasons,
such as attending with family or friends, or even international
tourists. Analogously, the market for memberships is more limited to a
portion of (mostly) committed AFL fans. Since members are substantially
more likely to attend regularly than non-members (even if memberships
provided no free entry entitlement), it can also be said that there is a
large degree of overlap between the two markets. Unfortunately, there do
not exist records indicating the proportion of attendees that are also
club members, so it is not possible to tell precisely to what extent
this is the case.
At least within a static framework (within a single season) the
degree to which the markets are segmented appears to be on a voluntary
basis. That is to say, fans are not excluded from one market or the
other (disregarding quotas or sell-outs) on a geographic basis or any
other basis that is typically associated with segmented markets. Rather,
prices are forwarded in both markets, and then fans are free to
self-select.
It is also sensible to assert that the relationship between the two
markets is dynamic in nature, as whether a given fan is a member or not
partially conditions their choice of number of games attended in a given
season. Having said this, however, the issue of causality is unclear, as
it could be argued that memberships cause attendances because of the
complementarities that are present--some marginal pay-at-the-gate fans
that purchase a membership often then find themselves attending more
often in order to maximise the benefits of their membership. Likewise,
it could also be argued that the inverse is true, as new members are
invariably people who have already attended numerous matches prior to
signing up.
It should be noted at this stage, however, that a shift in the
demand curve upwards and to the right for memberships does not
necessarily result in an equivalent shift in the demand curve for
attendances. There is anecdotal evidence that some members do not attend
regularly or even at all, which is consistent with the findings of
DellaVigna and Malmendier (2006) with respect to gymnasium memberships.
Rather, they simply view their membership purchase as a periodic
financial subscription (or even donation) to their club. Nevertheless,
the two markets are most definitely complementary.
Another interesting way of comparing attendances and memberships
lies in their respective relationships to team performance. Generally,
it would be expected that demand for a club's output will be
greater when team performance is better. Hence, all other things being
equal, attendances and memberships should both rise when a team
improves. (5) However, it seems that memberships should more accurately
reflect the relation with team performance than attendances, as changes
to the latter are also a function of the team's opponents, venue,
day/time, and several other exogenous factors. When it comes to
memberships though, because of the timing of the commitment to purchase
(mostly prior to or just after the commencement of the season) what
matters most is fans' collective expectation of team performance.
(6) It is probable that many AFL fans would simply extrapolate their
expectations on the basis of the previous season's performance or
performance in the pre-season cup, rather than media or other external
predictions, such as betting markets.
A Formal Description of the Membership Data
For the purposes of performing the applicable basic modelling of
data in this survey, the key ingredient is the procurement of Hawthorn
membership data. The data frequency is annual, since there is only one
season in any calendar year. The AFL has maintained annual membership
figures for all clubs in the competition since 1984 (aggregate of all
membership types). (7) To supplement this data, the challenge was to
obtain as many observations as possible between Hawthorn's entry
into the AFL in 1925 (from the Victorian Football Association, VFA) and
1983. (8) The actual figures were obtained from archived hard copies of
Hawthorn FC Annual Reports, located at the Hawthorn FC Museum at the
club's current headquarters at Waverley Park.
Unfortunately, there were numerous gaps in the data, especially in
the formative years of Hawthorn's existence in the VFL, since the
Annual Reports did not contain membership figures for the years
1930-1933, 1937 and 1939-1941. Hence, much of the analysis is undertaken
utilising only data from 1945, which is often standard practice, due to
the difficulty of accounting for the precise nature of the intra-World
War II effects on demand. Furthermore (and more disappointingly), the
Annual Reports for the years 1979 and 1980 simply did not report member
numbers. These observations are filled in via linearly interpolating the
1978 and 1981 figures.
Also of potential interest are the alternative categories of
membership. The most recent years have seen a profound proliferation of
membership types (or levels), as clubs attempt to begin to move towards
(but of course will never even approach) first-degree price
discrimination. (9) Thus, it is actually the more dated data here that
may be of some use. The first year in the sample that reveals different
categories of membership is 1942, where there are figures for both Adult
(A) and 'Schoolboy' (SB) memberships, the latter of which were
given out free to numerous local primary schools in the area. Then in
1971, there are figures for Complimentary (C) memberships, and in the
following year, SB was re-categorised as Junior (J) memberships. By
1981, a pensioner category had been introduced, with a student category
established in 1982 and then a family category initiated in 1983. (10)
Given the number of changes in the 1980s, as well as the missing
observations, the sub-sample between 1945 and 1978 is chosen to isolate
the A category.
Comprehensive AFL attendance data extends back to 1921, which
predates Hawthorn's entry into the league; hence the full sample
back to 1925 is used. Finals matches are excluded since they are
manifestly higher attended on average, creating an upward bias in
seasons when Hawthorn made the finals series. Also required is the
annual win-ratio of home-and-away matches during each season (games won
divided by games played), as a way of controlling for the team's
on-field fortunes. This should (at least partially) determine demand for
Hawthorn games--this series is also obtained back to 1925. Both of these
series are available from: http://stats.rleague.com/afl/afl_index.html.
The original series for both total memberships (available observations)
and average attendance at Hawthorn matches, and are exhibited
graphically in Figure 1. In the early part of the sample, it can be seen
on close inspection that the series follow a similar pattern of peaks
and troughs over time. Being a small, newly-admitted club, Hawthorn
struggled to be competitive in its first quarter of a century in the
league, never even making the finals series. Not surprisingly, Hawthorn
attendances and memberships were substantially below the league average.
[FIGURE 1 OMITTED]
Also as seen, average Hawthorn game attendance stagnated from their
entry into the league until the early 1950s. World War II had less of an
effect on Hawthorn attendances vis-a-vis the league average, mainly
because Hawthorn had easily their best ever season hitherto in 1943,
resulting in attendances recovering immediately to their pre-War levels
(though memberships declined significantly earlier in the War period).
Following the nadir of a winless season amid internal bickering in 1950,
much of it due allegedly to tension between Catholic and Protestant
players (see Gordon 1990: 91-92), Hawthorn rapidly became more
competitive, resulting in a significant structural increase in
attendances and memberships. Average attendance then stagnated for the
following 35 years until the late 1980s, an interval that culminated in
the most successful period in the club's history--four titles and
three runners-up in the seven years from 1983-1989. However, there was
still some degree of structural increase in memberships during this
35-year period. Arguably though, memberships should have increased
further during this period given their on-field success.
Anecdotal evidence that helps to explain this is the suggestion
that at the time, the mentality of the club's administration was to
concentrate on the (then growing) corporate side of revenue-raising and
to ignore membership to a large extent, in the belief that a small
membership base was preferable--a luxury afforded by their on-field
success. (11) This anecdotal evidence is exemplified by the stories
surrounding the phone-driven campaign for membership renewals led by
former premiership captain Graham Arthur until the mid-1990s. The
database that Arthur's recreuitment team had to work from was
haphazard in nature and not kept up-to-date. Following the failed merger
attempt, however, the club recognised the importance of membership and
revamped the membership department, with a concerted effort (by a
mostly-volunteer group) to construct a new database of not only existing
and former members, but also others who identified with the club,
wherever they resided. This was centred on the strategy of 'member
get member' and highlighted the exclusivity of membership. This
strategy was successful; right up until the club followed the trend of
other clubs of replacing the volunteers with a full-time dedicated and
professionally trained staff.
It is the 10-season period, however, between 1989 and 1998 that is
of most interest in this analysis, not only from the Hawthorn
experience, but the league experience as well. This era was one of
significant expansion of demand for topflight Australian Rules football,
as the league's administration transformed the competition from a
semi-professional concern to a fully professional sport. In doing so,
they undertook many reforms that resulted in a profound increase in
average attendances league-wide as outlined earlier. Furthermore, much
of the league's (and its constituent clubs') marketing efforts
centred on attempting to make as many fans as possible commit to
purchasing memberships on an annual basis, rather than paying at the
gate on a per-match basis. In this endeavour, they were highly
successful, as can be gleaned by Figure 2, which plots the ratio of
average club membership to average league game attendance. While the
number itself has no direct interpretation, it can still be used as an
index of the relative importance of memberships to attendances. As is
shown, this ratio, stagnant throughout the 1980s, rose remarkably
through the entirety of the 10-year period to 1998, falling only
slightly in 1992. (12) Since the end of this period, by which most of
the potential for further gains had been mostly saturated, this ratio
has experienced far more modest annual growth rates.
[FIGURE 2 OMITTED]
With specific reference to the Hawthorn perspective over this
period, attendances increased notably in 1990 on the heels of
back-to-back premiership titles, and remained at these higher levels
thereafter. Following that and another premiership in 1991, however,
there was little further increase in Hawthorn average attendances
throughout the remainder of the period, nor were there many further
gains until the final few years of the sample, culminating in a further
premiership in 2008. It is also worth noting that none of the major
changes to home-ground capacity had a huge immediate effect on
attendances. These changes include the completion of the major (now
Michael Tuck) grandstand at Glenferrie Oval in 1938; the Ferguson Stand,
built in the mid-1960s, the move from Glenferrie to Princes Park in
1974, the (gradual) move to Waverley Park, formalised in 1992, and the
most recent move to the Melbourne Cricket Ground in 2000. (13)
In terms of memberships during the period in question, there were
noteworthy gains in the early years, followed by some years of
stagnation. The result that stands out clearly here is the remarkable
increase from 12,484 in 1996 to 27,005 in 1997, following the
club's near merger with Melbourne FC, which rallied many Hawthorn
fans (not previously members) to commit to taking up memberships and
saturating much of the previously untapped potential membership base.
Following that, memberships remained at roughly the same level, until
the recent period of premiership contention (referred to previously) saw
a further structural surge in membership levels in 2008 and 2009.
Results
Since the current study represents a formative attempt at modelling
this type of membership data, much of the analysis centres on the
comparison and contrasting of correlation coefficients between the
variables. As will be shown, these correlation coefficients have a
sufficiently fascinating story to tell about measuring demand via
attendance versus membership, without having to resort to exploring the
exact nature of causation. The reason for relying on correlation
coefficients is that one has to be careful about the nature of inference
with respect to the variables under investigation. Nevertheless, a
simple Granger-causality test of attendances and membership for the
Hawthorn data (1945-2011), reveals that with a one-season lag, the null
hypothesis that memberships do not Granger-cause attendances is
significant, though only at the 10 per cent level (p-value of 0.0525).
Meanwhile, the analogous hypothesis that attendances do not
Granger-cause membership is insignificant (p-value of 0.2205), while the
p-values for higher-order lags are themselves all noticeably higher.
Beginning with the attendance data, the raw match average figures
are also expressed as a ratio to the league average of all other (not
involving Hawthorn) games, as a way of mitigating structural effects
arising from exogenous factors over time. This series is plotted against
Hawthorn's win-ratio in figure 3. The similarities in the series
are striking--not only the turning points from season-to-season, but
also the medium-to-long-term effects, as Hawthorn's improved
competitive performance from the formative period to their most
successful period was associated with vastly higher attendances. This
relation has been less precise in more recent years, however.
[FIGURE 3 OMITTED]
Table 1 displays the various correlations between average
attendances and Hawthorn's win-ratio. The middle column shows the
results for when attendances are expressed in logs, since percentage
changes are more revealing than changes in levels of the series in this
context. For the full sample, the association between attendance and
performance is positive and quite strong--not surprisingly, better
performance is associated with higher attendances in that season.
However, it is when the sample period is split into the appropriate
sub-samples that the story becomes more interesting. It can be seen from
Table 1 that for the 1925-1988 and 2000-2011 sub-samples, the positive
correlation is also quite strong (even stronger for the former).
However, for the critical period between 1989 and 1999 referred to
earlier, the contrary is surprisingly the case. (14) Nevertheless, there
is a nice explanation to account for this counter-intuitive result. The
period from 1989-1999 corresponds to this era in which attendances
increased markedly across the league (for all teams) for reasons
explained earlier, irrespective of how the individual teams were faring
on the park. It also (coincidentally) corresponds to a period in which
Hawthorn went into decline in terms of performance, yet the exogenous
attendance increases were easily more than enough to offset this
decline. By 2000, this structural change had reached its saturation
point, allowing performance to once again become more influential than
these exogenous factors.
The right-hand column of Table 1 displays the analogous results
using the attendance ratio measure. As a measure that controls more for
exogenous factors, it is not surprising that the full sample correlation
is even more strongly positive. Since it is a ratio-to-league average
measure, it is not surprising that even the correlation for the period
from 1989-1999 is strongly positive. Also, the full sample correlation
coefficient is stronger for the current season win-ratio (0.8063) than
for one- and two-season win-ratio lags (0.6559 and 0.6052,
respectively). This result makes perfect intuitive sense, as attendances
are being determined throughout the season with the contemporaneous
win-ratio jointly. The result could also be indicative that while a
significant proportion of members will remain members irrespective of
performance, others may decide to switch, depending on performance, in a
manner similar to switching between 'attraction' and
'allegiance' in Funk and James' (2001)
'psychological continuum model'.
In light of memberships, it is not possible to express the figures
in terms of a ratio to the average of other clubs, since the data for
some of the other clubs are unavailable prior to 1984.15 Therefore, the
simpler approach of taking the natural logarithm of the series is again
applied. This series is charted against the win-ratio (lagged by one
season) in Figure 4 from 1942, after which the series is mostly
unbroken. However, for the correlation analysis, the sample was trimmed
back to 1945, which is a very common starting date for long-range
time-series studies in sports economics.
[FIGURE 4 OMITTED]
In Table 2, the correlations between memberships and the win-ratio
are revealed, with up to two season's lags on the win-ratio, for
both the full sample and the 1945-1978 sub-sample specified earlier.
Concentrating first on the full sample, the link between membership and
performance is strongest in the previous season. That is, how Hawthorn
performed last season was more highly correlated with membership in the
current season than current season performance (this is also true for
the sub-sample from 1945-1978). (16) This finding again seems sensible,
as it conforms to the theory outlined earlier--since most memberships
are sold before the season begins (or at the very latest, early in the
season), what matters more than the realised win-ratio in the current
season is fans' expectations of the win-ratio. It makes sense that
the team's standing in the previous season is probably the most
important factor in how fans condition their expectations. We will
return to this point later on, but for now, the following parts of the
analysis are undertaken using the win-ratio lagged by one season.
Overall, while the correlation coefficient is not particularly strong
for the full sample (about 0.29), the correlation coefficient becomes
far stronger when the sub-sample from 1945-1978 is used.
One other reason for looking at the years 1945-1978 is that this
period corresponds to the period for which there is data availability
for the standard A category memberships. This is a useful exercise for
the purposes of comparison, as this category should be most sensitive to
team performance, since SB memberships were distributed at various
primary schools in the Hawthorn and Glenferrie area at no cost. The
correlations justifying the limitation of memberships to the A category
are shown in Table 3. Once again, the correlations are strongest when
the win-ratio is lagged by one season. Rather surprisingly, however, the
correlations are not stronger compared to those derived from the total
membership base including SB (and other types of) memberships. (17)
In any event, at an aggregate level, the sub-sample breakdown of
the correlations between memberships and the previous season's
win-ratio are provided in Table 4, and they reveal some strong evidence.
In accordance with the (log of) attendance sub-sample correlations, the
correlation is strongly positive in the first sub-sample, then negative
for the 1989-1999 sub-sample, and positive again in the final
sub-sample. However, these correlations are stronger in magnitude than
the equivalent attendance correlations (except 2000-2011), most notably
for the negative correlation for the 1989-1999 sub-sample. This result
provides some compelling evidence that memberships could add much to the
literature on the demand for sport.
Finally, let us return momentarily to the issue of fans forming
expectations of their team's performance based on their previous
season's performance. This would seem sensible if the two were
highly positively correlated. Table 5 illustrates the full sample
correlations (middle column) between the win-ratio in the current season
and each of up to the previous six seasons. From these results, it is
seen that the 1-season ago correlation for Hawthorn is quite strong, and
then correlations taper off when further seasons are considered, as
could be expected.
While for much of the history of the AFL, between-season
competitive balance has arguably been relatively low, there is ample
evidence to suggest that in recent years, teams have moved up and down
the league ladder much more readily. Hence, a final minor extension to
this analysis is to limit the correlations to the period from 1985-2011,
the phase of the league's history that corresponds to the existence
of the national player draft and salary cap. This era is referred to as
Booth's (2004) 'period six', in his historical recount of
the various combinations of revenue-sharing devices and labour-market
restrictions used by the league throughout its history. From the
right-hand column in Table 5 compared to the full sample, we see that
Hawthorn's 1-season ago correlation is comparable during this
period, and then tapers off at a substantially faster rate, reverting
virtually to zero for 6-seasons ago. This is consistent with the
observation that the draft and salary cap combination has partially
mitigated the propensity of good (poor) teams to remain high (low) on
the ladder in the following few seasons, like the Hawthorn experience of
the 1980s.
Conclusion
This article has sought to advocate club memberships as a suitable
possible measure of demand for Australian Rules football, using data for
Hawthorn FC in the AFL as a case study. This idea is particularly
compelling, as virtually every previous time-series study has relied
only on attendances. While it is not suggested that memberships are a
superior measure overall, it is felt that they do have quite a lot to
add to the current literature as a supplementary measure of demand. Some
of the theoretical properties of the market for memberships in relation
to the market for attendances were then discussed. Notably, the markets
have some degree of overlap, but they are still largely segmented.
Furthermore, the relationship is a dynamic one.
The major empirical findings include the following: predictably,
while attendances are strongly positively correlated with the win-ratio
overall, they are negatively correlated for the important sub-sample
from 1989-1999. For memberships, the strongest correlations occur when
the win-ratio is lagged by one year. This is explained by Hawthorn fans
having to form expectations about the team's win-ratio in the
forthcoming season, since the membership is typically purchased prior to
the commencement of the season. When the membership story is broken into
the various sub-samples, it is again seen that the relation is negative
during the period from 1989-1999, explained by the expansion of demand
for AFL football concurrent with a decline in Hawthorn's win-ratio
over this period. It is also found that limiting memberships to the main
(Adult) category does not really change the results at all.
Having taken this formative analysis to its logical conclusion,
several interesting possibilities for future research are evident,
including a more thorough discussion of the theoretical underpinning of
the demand-related comparison of memberships and attendances. Several
empirical issues also remain: foremost, given that the crucial era
between 1989 and 1998 and the unique experience of Hawthorn during that
period, it would be fascinating to obtain membership figures from the
other (mainly Melbourne-based) AFL clubs that have been in the
competition for a long time. The purpose of this would be to see whether
the findings obtained here for Hawthorn can be generalised, or if they
are merely club-specific. Another possibility is the more formal
parametric estimation of models aimed at making inferences regarding the
determinants of memberships. Such formal testing would most likely take
the form of panel techniques, rather than time-series analysis, and
could involve the use of a wide range of explanatory variables.
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Liam J. A. Lenten, La Trobe University, Melbourne, Australia
Notes
(1.) Earlier versions of this article were presented in seminars
at: (i) Orebro University, Department of Business, Economics, Statistics
and Informatics; (ii) University of Aarhus, Department of Economics; and
(iii) RMIT University, School of Economics, Finance and Marketing. The
author would like to thank the various participants of these seminars
for their comments and suggestions. The author would also like to thank
Peter Haby for his efforts in obtaining the earlier part of the sample,
as well as his general knowledge and assistance; and finally both Wayne
Geerling and Shaun Lenten; as well as Tanya Tran, who noticed some
errors on an earlier draft.
(2.) As this has occurred, the sport's popularity has also
managed to travel outside of Australia, with established
(non-professional) leagues in places such as Canada, Denmark/Southern
Sweden, France, Germany, Ireland, Japan, New Zealand, Papua New Guinea,
Samoa, the UK, and the US.
(3.) While not ignored completely, most commentaries on the role of
memberships in club finances are casual and brief in nature. As an
example, see Stewart (1985: 4).
(4.) They also offer the team (vendor) an opportunity to package
tickets for less popular games with those for more popular games. For a
textbook treatment of price discrimination in the sports industry, refer
to Leeds and von Allmen (2011: 112-121).
(5.) Pinnuck and Potter (2006) conclude that other factors also
play a role in determining AFL memberships, such as past memberships and
marketing expenditures.
(6.) AFL members of every club are typically sent membership
renewal reminders by their club far in advance of the commencement of
the season, and subsequent reminders often follow if they do not respond
initially.
(7.) These figures are taken as of 31 May, which is the census date
for which the AFL calculates finals series ticket allocations between
the various clubs.
(8.) The AFL was then known as the Victorian Football League (until
1990). Peculiarly, the then VFA is now known as the VFL.
(9.) In the modern day, there are now numerous adult packages (not
to mention further various concession packages) that vary inversely
according to cost and (attendance and other) benefits received. Some of
the packages are even named after former champion players--examples of
2012 packages include the Hudson Club, Eade Wing and Pritchard Pocket.
(10.) The family category was an important innovation, as Hawthorn
often markets itself as 'the family club'. For a recent
popular media item reinforcing this, see Gleeson (2011).
(11.) It is worth noting that much of Hawthorn's on-field
success during this period was due to the grossly inefficient Victorian
'country zoning' device used by the league from 1968 until the
introduction of the national player draft in 1986, as a means of
equalising player talent between teams. Hawthorn was lucky enough to
draw a zone that realised an immense pool of player talent.
(12.) The ratio actually falls nearly to 0.2 in 1987, due to a
temporary loss of public interest following a television rights
stand-off that saw no matches telecast on the Seven Network that year.
(13.) Hawthorn had been playing a significantly above-average
number of games at Waverley Park prior to 1992--six in 1987; five in
1988; nine in 1989; eight in 1990; and ten in 1991.
(14.) This period is also shaded in all of the figures as a visual
aid to the story. The 1999 season is added to the sub-sample for reasons
of consistency, as a one-season lag enters the analysis later on.
(15.) If we do this with the available years for the same
sub-samples, however, the correlations are as follows: 0.6235
(1984-1988); 0.2245 (1989-1999); 0.6365 (2000-2011).
(16.) In fact, for the full sample, the two-season lag correlation
coefficient is insignificant at the 5 per cent level. The critical value
here for 67 observations is approximately 0.237.
(17.) There was not likely to be much quantitative difference
between the two sets of correlations, as over the sub-sample, the A
category comprised an average of 75 per cent of total memberships
anyway. Since the differences are not profound in any case, this could
be taken as providing (weak) support for including all categories of
membership equally in the aggregate measure, as the AFL does with
respect to its finals-allocation figures.
Dr Liam Lenten is a Senior Lecturer in the Faculty of Business,
Economics and Law at La Trobe University. He works in the School of
Economics and the Centre for Sport and Social Impact. His research
specialisations are applied econometrics and forecasting and sport
policy. His contact email address is
[email protected].
Table 1: Correlation between attendances and win-ratio
Logs Ratio Measure
All Years 0.6510 0.8063
1925-1988 0.8244 0.9258
1989-1999 -0.5730 0.5436
2000-2011 0.6331 0.6588
Table 2: Correlation between log (memberships)
and win-ratio with lags
Lag 1945-2011 1945-1978
Same Season 0.2576 0.7491
1 Season 0.2921 0.8779
2 Seasons 0.2211 0.6048
Table 3: Correlation limited to adult memberships
only, 1945-1978
Lag Logs Levels
Same Season 0.7003 0.6738
1 Season 0.8624 0.8670
2 Seasons 0.5508 0.5246
Table 4: Correlation between memberships and
previous season's win-ratio
Log (Memberships)
1925-1988 0.8657
1989-1999 -0.7271
2000-2011 0.4973
Table 5: Correlation between current season win-ratio and recent
seasons win-ratio
Lag All Years Draft and Salary Cap Era
1 Season Ago 0.6233 0.6029
2 Seasons Ago 0.4926 0.4218
3 Seasons Ago 0.5060 0.3826
4 Seasons Ago 0.3858 0.2601
5 Seasons Ago 0.3817 0.2631
6 Seasons Ago 0.3344 0.0208