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  • 标题:Benefits to their communities from small town professional football clubs.
  • 作者:Barlow, Andy ; Forrest, David
  • 期刊名称:National Institute Economic Review
  • 印刷版ISSN:0027-9501
  • 出版年度:2015
  • 期号:May
  • 语种:English
  • 出版社:National Institute of Economic and Social Research
  • 摘要:Keywords: football; contingent valuation; willingness-to-pay
  • 关键词:Soccer teams;Sports clubs;Ticket sales

Benefits to their communities from small town professional football clubs.


Barlow, Andy ; Forrest, David


Many small town professional clubs operate on the border of viability and threats to their survival are often real. But their activities may generate benefits that they are unable to capture in ticket sales; for example they provide a focus of interest even for some residents who do not attend the stadium. The paper presents results from applying contingent valuation methodology in two towns with clubs in the bottom-tier of English professional football. Collective willingness-to-pay for the survival of the clubs through taxation proved to be significant relative to the revenues the clubs were able to generate through ticket sales. There appears therefore to be a case for local governments to consider intervention in some circumstances where a club's survival is in question.

Keywords: football; contingent valuation; willingness-to-pay

JEL Classifications: D62, H41, L83

Introduction

Although most attention, and revenue, in football accrues to clubs based in major cities and playing in premier leagues, the majority of professional clubs in Europe play in smaller centres and in lower divisions. Many such clubs operate on the border between viability and non-viability (Szymanski, 2014). Sometimes, their survival may depend on explicit or implicit public subsidies (for example, through relief from local property taxes or, as is common in Spanish football, provision of a rent-free municipal stadium) or other public policy interventions (for example, protection through planning laws against acquisition of stadium sites by property developers). This paper asks whether civic authorities should in fact be concerned over whether their communities are represented in their national professional football league. If a club were to collapse or else forced to become amateur, would that be a legitimate matter for concern from a local public policy perspective? If the revenue of a club is insufficient to cover the costs associated with playing in the professional league, is it ever appropriate for local government to override the 'market solution' ? Is it that there are additional benefits to a community from the existence of its professional football club that are not captured by the revenue the club collects at the stadium? Is it possible to measure these community benefits which lack a corresponding revenue stream? Are they potentially large enough to justify intervention if ticket revenue fails to cover the costs necessary for the club to maintain its professional status?

This paper addresses questions such as these through investigation of two examples of clubs in the fourth (i.e. the lowest) tier of the English professional league structure. The English game offers one of the largest professional structures in the world, organised as four divisions, of which the top is the English Premier League, all linked with each other by a system of promotion and relegation. In principle, of course, any member club could slip down into the bottom tier. But, in practice, it consists largely of small town clubs, consistent with the finding in Buraimo et al. (2007) that the position of a club within the hierarchy of the 92 English professional league clubs is determined largely by size of local population.

It is true that small-town clubs demonstrate impressive resilience. We looked at all of the clubs which played in the Football League eighty years ago and, while several subsequently failed or were demoted from the League, only three were not reformed and all the rest are still competing at some level of the game today. (1) In the modern era, Szymanski (2014) notes that there were 67 cases of insolvency during 1984-2010 but all the clubs present in the League at the beginning of the period were still active at the end albeit eight of them were outside the professional structure.

So, history suggests that clubs seldom die but that they do drop out of the professional league into the amateur and semi-professional structure, either because they experience financial collapse (as with Maidstone United in 1992) (2) or because their weak finances lead to inadequate playing performance and demotion to the minor leagues (for example, towns such as Barrow and Southport proved incapable of sustaining a club at the professional level). (3) From a local point of view, our interest is in whether civic authorities should proactively seek to maintain their professional club. Could the inability of a professional club to survive be an example of 'market failure' and, if so, is the welfare loss large enough for concern? From an English national perspective, the relevance of our research is to the question of whether four national, fully professional divisions are too many. Could the smaller centres be adequately served by amateur football, dispensing with the need for the fully professional game in England to sustain as many as 92 clubs and four divisions?

In the next section, we draw on the framework of welfare economics to examine whether and how it would be possible to justify public intervention to ensure that a town keeps its professional football club. We argue that there is a potential case because it is plausible that clubs generate benefits to the community which are not captured in their revenue streams. But the quantification of these benefits is necessary to reveal the strength of the case for offering a club support. Therefore, we carried out surveys in two relatively small towns where local fourth-tier clubs were under threat, employing the contingent valuation method (CVM) to evaluate local willingness-to-pay to sustain professional football in the community. Following a review of previous applications of CVM in the sports sphere, we will describe our surveys and the contexts in which they were conducted. Then we will present results from the two surveys in terms of estimates of community aggregate willingness-to-pay for professional football to continue to be offered in each town. The final section of the paper will pull together the principal conclusions from the whole exercise.

Sources of market failure

Standard welfare economics identifies two scenarios relevant to the present context where it may be socially efficient for an enterprise to continue to exist even though the operator of the enterprise cannot generate sufficient revenue for supply costs to be covered at any level of unit sales. In such circumstances, a case may be made for intervention, for example through subsidies or through a change in the mode of ownership (such as to municipal ownership, with trading losses then met from local taxes).

The first of these two categories of 'market failure' can arise where the provider of a good or service possesses a degree of market power such that the demand curve facing the firm is downward sloping. This is plausible in our context because football clubs will be price-makers rather than price-takers, given that many attendees would regard travelling to watch a club representing a different town as a very imperfect substitute. It is also plausible, as in other industries offering public performances as their product, that fixed costs (dominated, in this case, by the wage expenditure required to hire players good enough to maintain membership of the league) (4) account for such a high proportion of total costs that the average cost curve is also downward sloping throughout the relevant range of demand. With this scenario, the downward sloping demand curve may lie entirely inside the downward sloping average cost curve and there would be no level of ticket price at which costs would be covered. The football club would then be commercially non-viable and the market would not supply professional football in that community. However, the aggregate consumption benefit to users of the product (attendees) will be given by the area under the demand curve, (5) and there may then be a ticket price/level of attendance where aggregate consumption benefit would exceed total cost even though total club revenue would fall short of total cost (figure 1). The possibility arises because the club will price tickets to maximise revenue (minus variable costs) and price has to be set according to the strength of preference for the product among marginal attendees. Further up the demand curve, there will be greater willingness-to-pay, for example among hard core supporters, but the high value of the satisfaction these users obtain from the product is not captured by the club in revenue but remains as 'consumer surplus'. If the value of consumer surplus is high enough, and if the club cannot extend price discrimination to capture it, it may be socially efficient to intervene to secure continued provision of the service. (6)

If this argument were indeed to be employed to justify intervention in the case of football, it would be necessary first to evaluate annual consumer surplus. Alexander et al. (2000) provided impressively high estimates of levels of consumer surplus in American major league sports and argued that consumer surplus must therefore be taken seriously if a subsidy is proposed to maintain a franchise. But their estimates used only revenue data and are sensitive to the value of attendance demand elasticity assumed. The travel cost method provides a means for estimating demand for sports (Forrest et al., 2002, Hakes et al., 2011) and therefore of measuring consumer surplus more reliably; but, in the case of bottom-tier clubs, the catchment area is liable to be tight, and there will then be insufficient variation in the origins of trips to the match to permit a well-defined demand function to emerge. The only other alternative appears to be to measure consumer surplus by a stated rather than a revealed preference method. If an individual user of the service truly values it at more than he has to pay for it at the ticket office, then he would be willing to pay a lump sum per year to secure the right to choose to attend games at current prices. In principle, consumer surplus could therefore be measured (so long as honest answers could be elicited) in a survey which asked attendees about the maximum they would be willing to pay to prevent the product from being withdrawn from sale (professional football no longer available in the town).

[FIGURE 1 OMITTED]

A second category of market failure identified in welfare economics is that of externalities. Here again, clubs may generate benefits but be unable to capture corresponding revenue, biasing the market against the provision of the product: if (positive) externalities have a sufficiently high value, they may then justify intervention to prevent the loss of professional football in a town. The notion that such externalities exist for sport, and may well have high aggregate value to the local population, was proposed by Noll and Zimbalist (1997). For example, a significant proportion of the residents of a town may gain consumption benefit because they identify with the local club and it provides interest when they follow the club's progress in the press. Similarly, they may engage in more social interaction because the results of the local club are a topic for conversation; or they may simply enjoy hearing the name of their town mentioned in the national media when the football results are read out. (7) Benefits such as these may be termed as comprising a 'public good' (a public good is an extreme case of externalities where the benefit is available automatically to everyone and no one can be prevented from taking advantage of it). In principle, the annual value of the public good could again be assessed through a survey which asked residents about the maximum they would be willing to pay to prevent professional football from being lost to the town. (8)

The relevance of both potential sources of market failure can therefore be assessed by asking the same question of users and non-users (those who attend and those who do not). In the case of non-users (who never attend the stadium), responses will reflect their valuation of the public good the football club produces. In the case of users (those who attend matches), their responses should aggregate the value of consumer surplus associated with use of the private good (excess of consumption benefit from attendance over amount spent on tickets) and the valuation they place on the public good, which can be consumed independently of attendance. (9) From a social perspective, intervention is justified if the annual subsidy required to maintain football in the town is less than the sum of the annual value of the consumer surplus that would be lost by attendees if it ceased to exist and the annual value of public goods associated with the club (where these accrue to both attendees and non-attendees). Answers to a properly framed survey question would reveal the sum of these two components, which is what we require to know.

Contingent valuation

The notion that the value of positive externalities could be assessed simply by asking a sample of the population what they would be willing to pay to secure them was first proposed, in the context of soil conservation programmes, by Ciriacy-Wantrup (1947). When this approach, termed subsequently the contingent valuation method (CVM), was put into empirical practice, it was again typically in the context of environmental policy. By the 1990s, environmental economists had sufficiently refined the methodology that the US courts judged it reliable enough to be the basis for calculating damages payable by those responsible for a major oil spillage where public amenity had been lost.

The requisition of CVM to the service of sports policy is more recent but appears to be becoming commonplace. Atkinson et al. (2008) and Walton et al. (2008) assessed the value placed by UK residents on hosting the 2012 Olympic Games. Relatively few would attend events; but there was still an indication of high anticipated non-use value. Similarly, Preuss and Werkmann (2011) estimated that the German population had an aggregate willingness-to-pay to host the Winter Olympics of more than 0.9bn [euro]. Wicker et al. (2012a and 2012b) used CVM surveys to value the benefits of national (German) success in the Olympic Games and football World Cup respectively. Again substantial benefit was identified (for example, a gold medal in athletics had a mean valuation of more than 5 [euro] among German adults). In all these cases, the tangible benefits, be they of hosting or winning, appear low relative to the investments involved; but CVM reveals additional and decidedly non-trivial benefits from the 'public goods' generated in terms of public satisfaction; and this provides a basis for believing that the expenditure of public funds might be justified after all. Generally, these results validate the recommendations by Baade (2006) and Walker and Mondello (2007) that evaluation of sports policy should move away from an emphasis on economic impact studies (where, when properly conducted, benefits are usually shown to be very low) and towards the use of CVM, to estimate the consumption value associated with the public goods that sports produce.

Our particular concern is with the value associated with availability of local professional sport. Here the bulk of research has been in American settings, where the threat of losing a professional club may be very real given that the owners are free to move their franchise to another city. For example, Johnson et al. (2001 and 2007) inquired into willingness-to-pay to maintain a National Hockey League franchise in Pittsburgh and into willingness-to-pay to keep a National Football League club in Jacksonville. Fenn and Crooker (2009) considered the case of Minnesota's team in the National Football League. In each case, aggregate willingness-to-pay was substantial, but not as high as the cost of a new stadium that owners might require the city to build to prevent a move.

In Europe, Castellanos et al. (2011) took a similar approach to the American CVM studies when they estimated the public's willingness-to-pay to keep a Spanish football club, Deportivo de A Coruna, in the First Division. Note that, whereas the American model of sport permits migration of franchises such that any threat of removal involves the professional club completely ceasing to exist in the city, such an extreme scenario is implausible in the European model. Castellanos et al. therefore asked about willingness to make a financial contribution to ensure "that Deportivo could maintain the competitive level of recent seasons". This could be interpreted as defining the good to be valued as a club performing at a level sufficient to maintain its (then, 2003) current First Division status. Similarly, to create a plausible scenario, we will address valuation of the existence of English local clubs performing to a level consistent with maintaining professional league (fourth-tier) status. In A Coruna, mean annual willingness-to-pay by respondents to the survey was approximately 10 [euro].

The previous literature reporting CVM research on local sports teams has focused on the highest levels of their respective sports, for example the National Football and Hockey Leagues or the top tier of Spanish football. Here, an innovation is that we move the focus closer to the grassroots by evaluating benefits from small-time clubs in small-town communities. We had no priors on the size of per-person benefits compared with those generated by major league clubs. Certainly, the top-tier clubs attract higher volumes of media attention and there is therefore 'more public good' to be consumed. On the other hand, small towns have fewer local amenities and a club that has low status within its sport may nevertheless be an important focus for civic pride and public attention and may promote feelings of identity. In this sense, it may contribute importantly to local social capital. We were unable to rule out a priori that, at least per person, local residents would value a 'minnow' of the football world just as highly as local residents in bigger cities valued their much more celebrated clubs, playing at the tops of their sports.

Methodology

Any stated preference approach runs the risk of eliciting responses that are inaccurate, for example because the respondents do not have enough information to express an informed choice or because the question put is too hypothetical or because they engage in strategic behaviour. (10) As CVM has evolved, it has developed survey techniques to minimise the risk of eliciting misleading responses and we attempted to reflect current best practice in the decisions we describe in this section on how the exercise was to be conducted. Broadly, our survey was similar to those employed by Johnson et al. (2001) and Castellanos et al. (2011). Castellanos et al. (2011) argued the merits of adopting similar questionnaires to facilitate comparison between the valuations of professional sports in different settings.

The first potential pitfall faced in conducting a CVM exercise is that respondents may overstate their true willingness-to-pay if faced with a hypothetical choice (Loomis, 2011), particularly if it is outside their realm of experience and difficult to take seriously. The risk of 'hypothetical bias' is reduced if respondents are invited to consider a realistic scenario. With this in mind, we selected the towns of Bury and Luton as the settings for our investigations.

Bury is a town on the northern edge of Greater Manchester County, about 13 km. from the central city. Its social composition mirrors that of the UK to the extent that its two parliamentary constituencies are regarded as 'bell weather': which party wins is a good predictor of the national result. Luton is a manufacturing town, 50 km. north of London. Each had a population, defined by the boundaries of the municipal government, of approximately 185,000, with 70,00080,000 households. Luton's population exhibits much the greater ethnic diversity (table 1).

In Bury, the survey was administered in April, 2008. The town's club, Bury F.C., had ridden uncharacteristically high in the division standings during the Autumn; but a long slump in results had taken it to 21st out of 24 clubs and its form suggested that it was in real and imminent danger of finishing in the bottom two places in the league and thereby losing the professional status it had maintained since 1885. The situation for Luton Town F.C. was similar when we applied the questionnaire in the town during 2009. (11,12)

In each town, the scenario we put to respondents was therefore relevant to the then current situation of the local football club. Respondents were reminded about the current dangers facing the club and then asked what would be the highest monthly amount they would be willing to pay to ensure the club's survival in the professional league. The question was to be answered by selecting from preset amounts, at 2 [pounds sterling] intervals, between zero and 20 [pounds sterling]. (13) Such closed-ended, as opposed to open-ended, value elicitation questions mitigate the risk of hypothetical bias (according to meta-analysis of CVM environmental studies by Murphy et al., 2005). Potentially they may also remove a barrier to answering the question at all if respondents would be daunted by an unfamiliar question posed without any prompt about the range of values they should consider. (14)

Together with a scenario (description of the amenity to be provided or protected) for the respondent to evaluate, it is important also to specify a plausible payment mechanism. The questionnaire should discourage strategic responses whereby an individual exaggerates his willingness-to-pay because he believes it would in fact be others who would fund the amenity under consideration. To combat this risk, the payment vehicle should therefore be plausible such that the respondents should believe that they would actually have to pay in the event that the project (in this case saving the football club) was approved. In their Spanish study similar to ours, Castellanos et al. (2011) asked about willingness to make voluntary contributions into a fund to support the football club. This might elicit dishonest answers because of strategic response behaviour (which would lead to overestimation of the value of the club); but even 'honest' answers may be misleading if there are respondents who value the amenity but who would expect to be able to free-ride because enough others would contribute (stated willingness-to-contribute may then underestimate the value placed on the amenity).

We chose council tax as the payment vehicle. This is a residential property tax levied by the town council and chargeable to the large majority of households (albeit there is a 25 per cent discount for single occupancy and a system of reimbursement for those on welfare benefits). Council tax was selected as the payment vehicle primarily because it would be a believable part of the scenario offered to respondents. But it has the additional merit that nearly every resident would be familiar with the fact that it is used to fund locally organised services such as libraries. This should encourage respondents to think in terms of the opportunity cost of expenditure out of council tax revenue.

That council tax, which most households in the towns paid in monthly instalments (hence our focus on monthly willingness-to-pay), might be used to guarantee the survival of the local club was likely to be especially believable in Bury and Luton because the councils already provided limited funding for the clubs. This is relatively unusual in England and was a further reason for our choice of the two towns for the surveys. In Bury, support was through sponsorship of the team shirt and in Luton the club was allowed a discount in the amount of business rates (local tax on commercial property value) it had to pay to the town council. At the times of the respective surveys, these effective subsidies amounted to approximately 50,000 [pounds sterling] (0.67 [pounds sterling] for each household) per year at Bury and 87,000 [pounds sterling] (1.12 [pounds sterling] for each household) per year at Luton.

An important decision in any CVM is whether to regard bids (stated amounts of maximum willingness-to-pay) as relating to the benefits of the amenity to the individual who responds to the questionnaire or to the whole household to which he belongs. To draw conclusions from any CVM sample survey, the mean bid in the sample has to be extrapolated to the level of the population by scaling up according to either the number of individuals or the number of households in the population. If multiplication is according to the number of individuals, the estimate of aggregate willingness-to-pay will be much higher (twice as high if there are two persons per household). It is therefore important to consider whether bids should be interpreted as indications of individual or household preferences.

Because council tax, which is charged to households rather than individuals, was our choice of payment vehicle, we framed the question in terms of how much the respondent was willing to pay on behalf of his or her household. Subsequently we scaled up the mean bid according to the number of households in the particular borough. Whether answers by individuals on behalf of households will represent the preferences of all the individuals in the household in the same way as if they had each been questioned individually and individualistically depends on such factors as respondents' knowledge of other household members' utility functions, whether respondents are altruistic and how households make collective consumption choices. Strand (2007) sets out assumptions that would yield the prediction that it would not matter to the final aggregate valuation whether individuals were asked to respond as individuals or as representatives of their households. However, Lindhjem and Navrud (2009) reported that separate Norwegian samples answering the same question (about an environmental amenity) made very similar mean bids whether they were asked to respond in the individual or household mode. Then it would make a very substantial difference to aggregate valuation whether the mean response was scaled up according to the number of individuals or the number of households in the population. Delaney and O' Toole (2004) asked respondents what would be the maximum "you" would be willing to pay for provision of Irish public service broadcasting. A follow-up question then asked how respondents had interpreted "you" and nearly two-thirds indicated that they had in fact been thinking of payment on behalf of the whole household. Scaling up of course would produce a much higher valuation from a sample where the researchers regarded the response unit as the individual but, from these earlier findings, there is a danger that some respondents' bids in fact reflect preferences of all household members even if the question appeared to be individualistic. Our decision to ask our respondents for willingness-to-pay on behalf of their households therefore not only accords with the collective payment vehicle of council tax but also recognises the need for caution suggested by the literature. Of course, some respondents asked about household willingness-to-pay may ignore the preferences of other household members and our decision to ask about household valuation and then to scale up by the number of households may therefore introduce a conservative bias to our valuation of the football clubs.

Measurement

With all these considerations in mind, and after prior cognitive testing on twenty individuals, our first valuation question in the surveys was therefore framed as follows:

"Please circle the highest amount you are willing to pay, on behalf of your household, per month, via an increase in Council Tax, to guarantee [Bury FC's/ Luton Town's] professional league status, 0 [pounds sterling] 2 [pounds sterling] 4 [pounds sterling] 6 [pounds sterling] 8 [pounds sterling] 10 [pounds sterling] 12 [pounds sterling] 14 [pounds sterling] 16 [pounds sterling] 18 [pounds sterling] 20 [pounds sterling]."

As is typical in CVM studies, the majority of answers were expected to be (and were indeed) zero. The most obvious reason for answering zero is that the respondent in fact places no value on the amenity. This would be a 'true zero'. However, Meyerhoff and Liebe (2006) noted reasons why some zeros might be 'false'. For example, some respondents might value the amenity positively but give the answer zero in protest at some aspect of the questionnaire or question. In our case, the most obvious reason for protest is that using council tax to pay for football might be considered improper and outside the legitimate sphere of local government. To attempt to address this potential source of false zeros, we therefore asked the valuation question again, but this time including information that the town council already gave financial support to the football club (implying that additional support would not create a new precedent). Thus, for Bury residents, the second valuation question was:

"In reality, Bury Metropolitan Council sponsor Bury FC each season which equates to 0.67 [pounds sterling] per household per year. The sponsorship includes the name of Bury Metropolitan Council on the team shirts, advertisements in the match day programme and tickets distributed to school children. Considering the extra information, please circle the highest amount you are now willing to pay on behalf of your household, per month via an increase in Council tax, to guarantee Bury FC's professional league status, 0 [pounds sterling] 2 [pounds sterling] 4 [pounds sterling] 6 [pounds sterling] 8 [pounds sterling] 10 [pounds sterling] 12 [pounds sterling] 14 [pounds sterling] 16 [pounds sterling] 18 [pounds sterling] 20 [pounds sterling]."

Similarly, the Luton questionnaire also posed a second valuation question:

"In reality, Luton Borough Council assist Luton Town Football Club through reduced rates each season equivalent to 1.12 [pounds sterling] per household per year. Considering the extra information, please circle the highest amount you are now willing to pay on behalf of your household, per month via an increase in Council Tax, to ensure in future Luton Town's professional league status, 0 [pounds sterling] 2 [pounds sterling] 4 [pounds sterling] 6 [pounds sterling] 8 [pounds sterling] 10 [pounds sterling] 12 [pounds sterling] 14 [pounds sterling] 16 [pounds sterling] 18 [pounds sterling] 20 [pounds sterling]."

The second question, as expected, elicited a greater number of positive responses: the number of those willing to pay something increased by exactly one-third in Bury and by 22 per cent in Luton. Since this second valuation was made in light of fuller information, and because the nature of the information was likely to have decreased the incidence of protest zeros, it is responses to this valuation question that we used when estimating aggregate willingness-to-pay in each community. Because the question referred to willingness-to-pay through an increase in council tax, the valuations should be interpreted as reflecting willingness-to-pay beyond the level of current subsidies. The current subsidy of 0.67 [pounds sterling] per household in Bury converted to 49,817 [pounds sterling] at the level of the borough; and 1.12 [pounds sterling] per household in Luton implied a current council subsidy of 87,136 [pounds sterling].

In addition to the valuation questions, each survey also collected information on socio-demographic variables, to enable us to form a judgement on the representativeness of the sample. It also inquired whether the respondent attended matches at the local football club, to enable us to distinguish between the willingness-to-pay of users and non-users.

Data collection

Each of the two surveys was administered by mail, (15) using samples of 1,200 addresses purchased from a market research company. The samples were based on the electoral roll for each municipality. (16) The mailing was directed at one (randomly selected) named adult in each household. The request to participate was personalised as much as possible, for example in the greeting (Dear xxxx) and the date at the head of the letter. Personalisation is likely to raise the response rate (Dillman, 2007). The covering letter was printed on university headed notepaper to lend authority and there were clear details on how to contact a named researcher with any questions. A postage-paid return envelope was provided. In each of Bury and Luton, 1,200 questionnaires were sent out. Of these, 27 sent to Bury and 23 sent to Luton were returned unopened or blank. Exactly half of these fifty were marked to indicate that the addressee had either died or was no longer resident. A variety of other reasons, such as poor eyesight preventing completion, accounted for the other half. With the surveys returned unopened or blank excluded, potential sample sizes were 1,173 for Bury and 1,178 for Luton. The number of useable responses was 141 from Bury and 142 from Luton. Thus response rates were 12.02 per cent and 12.05 per cent respectively.

Results

This section describes how we used the responses to estimate aggregate willingness-to-pay for the existence of professional football in each town. The inputs into the calculations are summarised in tables 2 (Bury) and 3 (Luton).

Fifty-six (39.7 per cent) of the 141 responses from Bury and 76 (53.5 per cent) of the 142 responses from Luton entered a valuation greater than zero. The greater willingness of residents of Luton to pay something to aid the town football club over and above the modest level of current subsidy was evident amongst both users (those who attend any games) and non-users (those who never attend). Of attendees, 74.2 per cent in Luton and 58.7 per cent in Bury made a positive bid. Amongst non-attendees, the proportions were 45.6 per cent and 24.3 per cent respectively. Mean (monthly) willingness-to-pay conditional on being willing to pay anything was, however, rather higher in Bury than in Luton (4.52 [pounds sterling] versus 3.13 [pounds sterling]).

While, as shown in table 1, the samples proved reasonably representative of the towns' populations in terms of the demographic variables included in Census data, (17) this does not imply of course that they were unbiased in respect of the variable we sought to estimate. Although our covering letter emphasised that responses would be equally valuable even if the addressee were uninterested in sport, nevertheless it would be fair to suppose that a disproportionate number of responses received would be from those with some interest in, or sympathy with, the subject of the questionnaire, football. Again, the proportions of responses from those who attended games, even if only occasionally, seemed quite high relative to mean recorded attendances at the stadia. It is plausible therefore that the mean value of willingness-to-pay in the samples (once the zero bids are included, the means for monthly willingness-to-pay were 1.79 [pounds sterling] in Bury and 1.68 [pounds sterling] in Luton) is an upwardly biased estimate of the mean willingness-to-pay in the whole population. Extrapolating to the aggregate valuation of the population by multiplying the sample mean by the number of households would therefore be likely to yield an exaggerated estimate of community benefit from the football club. It would be very much an upper-bound estimate of the value of the amenity because it would be based on the assumption that, on average, non-respondents valued the football club equally with respondents.

Correcting for this problem is difficult because no information is available on non-respondents. Johnson and Whitehead (2012) note that a common solution in the CVM literature is to attribute a valuation of zero to all those who did not respond to the survey and then to treat the resulting calculation of population aggregate willingness-to-pay as a lower-bound estimate, to be set alongside the upper-bound estimate. We also follow this procedure. It has the additional benefit of obviating the need to be concerned over any under-representation of particular demographic groups with low interest in football. Since the initial sampling is random, and if most members of demographic groups fail to respond because they are indifferent to football, their views still count if a valuation of zero is imputed to them.

A disadvantage of attributing zero willingness-to-pay to non-respondents is that, given that response rates tend to be low, particularly for mailed surveys, it typically yields a lower-bound estimate that is very far from the corresponding upper-bound estimate. Of course, obtaining a wide range for the estimates is a function of adopting two extreme and opposite assumptions, namely that non-respondents do not value the amenity at all and that non-respondents value the amenity exactly as much as respondents.

To calculate the lower-bound estimate of aggregate town willingness-to-pay for Bury, we began with the mean willingness-to-pay of 1.79 [pounds sterling] observed for the 141 respondents. We imputed a mean of zero to the 1,032 non-respondents. Across the whole potential sample of 1,173 persons, this gave an overall mean monthly willingness-to-pay of 0.22 [pounds sterling].

Adopting the conservative assumption that each individual response represents the valuation of the respondent's whole household, we multiplied the mean of 0.22 [pounds sterling] by 74,335, which was the number of households in Bury, according to Office of National Statistics estimates. This yielded an estimate of aggregate willingness-to-pay of 16,033 [pounds sterling] per month across households resident in Bury--or 192,396 [pounds sterling] per year. Adding in the implicit subsidy already paid by the municipality (recall that the responses concerned willingness-to-pay beyond the level of the current subsidy) yields our lower-bound estimate for community benefit (from Bury having a professional football team) of 242,200 [pounds sterling].

Table 2 sets out the details of the calculations and also those for the upper-bound estimate. The upper-bound estimate is 1,650,298 [pounds sterling] per year.

Table 3 sets out details of the equivalent calculations for Luton. Here the lower- and upper-bound estimates are 275,758 [pounds sterling] and 1,651,902 [pounds sterling] respectively. Thus, estimates prove to be of very similar orders of magnitude in the two cases.

Although we have followed precedent in the literature by presenting lower- and upper-bound estimates, our policy discussion will rely only on the lower-bound estimates. This is consistent with other, earlier decisions, noted above, that deliberately adopted conservative assumptions in the procedures we followed. If estimates are used to assess the case for public intervention in favour of the survival of small town football clubs, respect for taxpayers requires that the case not be exaggerated. Choosing lower-bound estimates eliminates any contamination due to differential response rates across groups defined by, say, demography or attendance at the football games. Thus, males, for example, are over-represented in the Bury sample. But, when we attribute a value of zero to willingness-to-pay to all non-respondents, this restores the missing females to the data set on which the lower-bound estimate is based. It is therefore truly the lower-bound estimate.

The annual community benefits of 242,200 [pounds sterling] and 275,758 [pounds sterling] at Bury and Luton respectively represent value produced by the football club which is not captured by the club in its revenue from ticket sales. Instead it accrues as either consumer surplus (for attendees) or to attendees or non-attendees in the form of externalities (providing a focus for discussion with neighbours, civic pride, and so on).

To be sure, amounts of this order of magnitude would represent small change in the worlds of the English Premier League and other top-tier European competitions. For example, Castellanos et al. (2011), in the only earlier study on football similar to ours, found an annual benefit of approximately 3m [euro] from the presence of a First Division club in a Spanish city. This is many times our estimates. But their figure was nevertheless lower than 5 per cent of the budget of the football club.

By contrast, our more modest estimates of benefit to the small towns of Bury and Luton represent amounts that are somewhat higher relative to the revenues of the respective clubs. Unfortunately the exact revenues of the two clubs for the respective seasons were unavailable to us. Each club is registered with a form of ownership where accounts have not needed to be published since 2001 and each declined to supply us with their private data. However, the accounting firm Deloitte estimated that the 'average' club in the Division had revenue of 2.7 million [pounds sterling] in 2008 and 2.8 million [pounds sterling] in 2009. Our estimates of community benefits not captured by the clubs represented 9 per cent (Bury) and 10 per cent (Luton) of these average figures (18) (and a much higher proportion of average ticket revenue). (19) Moreover, the community benefits appear large in the context of average losses in the division of 300,000 [pounds sterling] and 400,000 in the two years (Deloitte, 2010). If the results from these towns can be generalised (and the similarity of the two estimates encourages us to believe that they may be capable of being generalised), then it is clear that it would be plausible for situations to arise where it would be socially efficient for an intervention to be made to ensure that a small town professional club survived a threat to its ongoing operation. Our results suggest that extending professional football to a fourth tier, to serve smaller centres, does not produce a structure that is 'too large'. Returning to the particular cases of Bury and Luton, the subsidies paid to their football club by the respective town councils were in each case certainly significantly below the value the club created for residents.

Finally in this section, it is of interest to compare the relative sizes of bid made by attendees and non-attendees in the Spanish sample as reported by Castellanos et al. (2011) and in our samples from Bury and Luton. In the Spanish case, the mean bids were quite similar, 10.97 [euro] and 9.30 [euro]. But in Bury/Luton, the mean for attendees (2.87 [pounds sterling]/3.28 [pounds sterling]) was much higher than that for non-attendees (0.92 [pounds sterling]/1.07 [pounds sterling]). Although there are caveats in comparing results across the studies (attendees represented a much higher proportion of the sample in Spain; response rate was much higher because the researchers' budget allowed face-to-face interviewing; and face-to-face interviewing itself tends to raise mean willingness-to-pay, according to Noonan, 2003), this is nevertheless suggestive of the possibility that externalities from football fall off faster than the benefit from active consumption as one considers lower levels of football. But even so, we should reiterate, community benefit is still high relative to the size of business of the football club.

Conclusion

Our contingent valuation study has followed precedents in the academic literature in seeking to evaluate the benefit to a community from hosting a professional sports team. It is worth reiterating that we have been consistently conservative when making methodological choices in the sense of always choosing the option that would tend to yield a lower estimate of aggregate benefit. First, and this was a choice imposed by budget constraints, we used a postal rather than a face-to-face survey. Second, we attributed a zero valuation to every single non-respondent. Third, we assumed that the 'bid' of each respondent reflected the club's value to his or her whole household rather than to him or her individually. The estimates of aggregate value are therefore clearly lower-bound estimates.

Previous studies have not always been so conservative, in particular some previous work (such as Castellanos et al., 2011) perhaps risks exaggerating benefits by extrapolating results from questioning individuals by scaling up by the number of individuals rather than by the number of households in the city. Nevertheless, our results can still only reasonably be interpreted as showing rather lower willingness-to-pay compared with earlier case studies; for example our (lower-bound) estimates of mean willingness-to-pay are under 2 [pounds sterling], compared with about 10 [euro] in the case of a study of a Spanish club, Castellanos et al, 2011. But all previous studies, in whatever sport, related to major league clubs whereas the two clubs in our case studies operate at the lowest level of professional football. What is significant for sports policy is that benefits generated for the communities prove to be higher than in previous studies when evaluated relative to the economic size of their club. If these case studies are representative of what would be found across bottom-tier professional football, it is evident that there is a case on standard welfare economic grounds for municipalities to consider intervention in the event that the survival of their town club comes into question. In times of fiscal pressure, intervention might necessarily take other forms than direct subsidy, for example protection through planning restrictions on the use to which a developer bidding for the land on which the stadium sits could put it, or promotion of a new mode of ownership. Beyond the implications for individual communities, a wider point suggested by our analysis is that any attempt in the future to reduce the size of the professional football league structure in England would not be without significant social cost.

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NOTES

(1) We reviewed the potted histories of all clubs ever to have played in the Football League, included in Tabner (1992). Several clubs present in 1924-5 failed but only Merthyr Town, New Brighton and South Shields were not reformed to continue to the present day (there is a club named Merthyr Town playing today but it was not founded until 2010 whereas the former Football League club was dissolved in 1934; the case is one of enthusiasts adopting a historic name rather than survival from adverse circumstances). However, some clubs, such as Bradford Park Avenue, liquidated in 1974, were reformed only to play in much lower level competition.

(2) Maidstone United was reformed after a lag and today plays in the seventh tier of English football (the structure is explained atwww.fansfocus.com, accessed December 15, 2014).

(3) Barrow was voted out of the Football League in 1972 and currently plays in the sixth tier of the structure; Southport finished second-bottom in the Football League three years running before ejection in 1978. It currently plays, with part-time professional personnel, in the fifth tier (histories from the clubs' respective Wikipedia entries).

(4) Currently the two worst performing clubs each season have to swap places with the top two performers in the semiprofessional feeder league.

(5) Strictly, under the compensated demand curve.

(6) In microeconomics texts, this species of market failure is typically illustrated by reference to public utilities. As with performance goods, public utilities typically feature fixed costs that are high relative to the maximum revenue that can be extracted from the market.

(7) Support for the relevance of external benefits from a professional club was provided, for instance, in Johnson et al. (2001). In a sample of residents in Pittsburgh, 44 per cent reported reading about, and 34 per cent talking about, the local ice hockey team at least a few times per week in-season. Participation in such activity was positively correlated with willingness-to-pay to ensure continuation of the sport in the city.

(8) Willingness-to-pay is a measure of the equivalent variation. It measures the loss of income which, to the respondent, would be equivalent, in terms of decrease in utility, to loss of the amenity (the football club).

(9) Note that users and non-users alike consume the public good because, for example, both groups enjoy talking about the last result. Of course, the typical valuation of this aspect of the club's output may differ as between the two groups.

(10) An example of strategic behaviour would be if a respondent reasoned that he would benefit from an amenity but that he would not bear any of the cost because he was not a taxpayer. His incentive is to overstate willingness-to-pay because the results of the survey might be used to determine that the amenity will be provided, to his advantage.

(11) Luton Town in fact lost its relegation fight and its 89 years tenure in the professional league. The season was quite successful in terms of playing record but the efforts of the team in the end failed to overcome the deduction of 30 league points that had been imposed earlier for financial irregularities and violation of player transfer rules.

(12) In the respective seasons during which the surveys took place, mean attendance at Bury home matches was 2,594 and that at Luton 5,968 (www.tonykempster.co.uk).

(13) Constraining answers to be zero or positive implies an assumption that no residents would prefer the club to lose its place in the league. We speculate that this is more plausible than for clubs in major leagues. Generally, fourth-tier football does not attract attendances of a size that cause congestion and social disruption.

(14) A disadvantage is that there may be many residents with a low valuation, here for example below 1 [pounds sterling]. Given that they are likely to enter zero, this will be a source of downward bias in our estimate of aggregate willingness-to-pay.

(15) Noonan (2003), on the basis of a meta-analysis of CVM studies in the field of culture (including sport), reports that mail surveys tend to yield lower willingness-to-pay estimates than alternatives, especially doorstep interviews. Cost dictated our choice to sample households by mail questionnaire. Noonan's finding implies the possibility that this will yield a conservative valuation.

(16) Valuation of the amenity provided by the football club will be underestimated to the extent that it will not include benefits to persons residing beyond the local authority boundary (who may nevertheless be close enough to the town to feel an affinity with it and its football club).

(17) One exception, in Bury only, was the preponderance of male responses, nearly 74 per cent (the proportion was 50 per cent in Luton). Also, in both towns, retirees were over-represented and those self-identifying as other than 'white British' were underrepresented. Part of this latter discrepancy may be associated with a low propensity for members of minority communities to register on the electoral roll.

(18) It is likely that Luton in fact had greater revenue, and Bury lower revenue, than the 'average' club in the Division, based on average attendances compared with other clubs (www.tonykempster. co.uk).

(19) At an 'average' club, ticket sales including season tickets were said to represent about 40 per cent of total revenue, the remainder coming from sponsorship, merchandising and television payments made to the League.

Andy Barlow and David Forrest, University of Liverpool Management School. E-mail: [email protected]
Table 1. Comparison of borough and sample
characteristics

                                            Bury

                                   Borough      Sample

Population                          183,300         --
Area                              99.48 km2         --
Density                          1 843 / km2        --
Households                           74,335         --
Male                                  0.487      0.736
Female                                0.513      0.264
Full time                             0.429      0.447
Part time                             0.120      0.071
Self-employed                         0.081      0.092
Unemployed/inactive                   0.179      0.004
Student                               0.058      0.014
Retired                               0.133      0.341
O level/GCSE                          0.321      0.248
A Level                               0.200      0.213
Degree                                0.180      0.277
No qualification                      0.292      0.262
White                                 0.921      0.986
Mixed race                            0.000      0.000
Asian or Asian British                 0.054     0.014
Black or black British                0.016      0.000
Chinese or other ethnic group         0.008      0.000

                                            Luton

                                   Borough      Sample

Population                          188,800         --
Area                               43.35km2         --
Density                          4355 / km2         --
Households                           77,800         --
Male                                  0.507      0.503
Female                                0.493      0.497
Full time                             0.425      0.394
Part time                             0.104      0.098
Self-employed                         0.067      0.077
Unemployed/inactive                   0.203       0.114
Student                               0.093      0.042
Retired                               0.109      0.275
O level/GCSE                          0.288      0.299
A Level                               0.170      0.218
Degree                                0.150      0.183
No qualification                      0.313      0.300
White                                 0.680      0.845
Mixed race                            0.028      0.014
Asian or Asian British                0.193      0.064
Black or black British                0.079      0.007
Chinese or other ethnic group         0.020      0.007

Source: Borough population statistics
www.neighbourhood.statistics.gov.uk.

Table 2. Summary statistics and calculation of community benefit: Bury

Sample size                                141
Potential sample size                      1,173
Number of responses with wtp>0             56
Number of responses with wtp=0             85
Mean wtp where wtp>0                       4.52 [pounds sterling]
Mean wtp across all responses              1.79 [pounds sterling]

Mean monthly wtp of potential sample       Lower-bound
  (assume non-responses wtp=0)
Mean monthly wtp of potential sample       0.22 [pounds sterling]
  (assume non-responses wtp=1.79
  [pounds sterling])
  (Multiply by number of households in     16,033 [pounds sterling]
  Bury, 74,335)
Estimated wtp across all households in
  Bury (Multiply by 12 to convert to       192,336 [pounds sterling]
  annual wtp)
  Estimated annual wtp across all
  households in Bury
(Add) value of current annual subsidy      49,804 [pounds sterling]
  evaluated at 0.67 [pounds sterling]
  per household

Estimate of annual benefit to Bury         242,200 [pounds sterling]
  households

Sample size
Potential sample size
Number of responses with wtp>0
Number of responses with wtp=0
Mean wtp where wtp>0
Mean wtp across all responses

Mean monthly wtp of potential sample       Upper-boun
  (assume non-responses wtp=0)
Mean monthly wtp of potential sample       1.79 [pounds sterling]
  (assume non-responses wtp=1.79
  [pounds sterling])
  (Multiply by number of households in     133,375 [pounds sterling]
  Bury, 74,335)
Estimated wtp across all households in
  Bury (Multiply by 12 to convert to       1,600,494 [pounds sterling]
  annual wtp)
  Estimated annual wtp across all
  households in Bury
(Add) value of current annual subsidy      49,804 [pounds sterling]
  evaluated at 0.67 [pounds sterling]
  per household

Estimate of annual benefit to Bury         1,650,298 [pounds sterling]
  households

Notes: wtp signifies willingness-to-pay (monthly unless stated
otherwise). Individuals' wtp is shown to the nearest penny but 'exact'
means were used in subsequent calculations.

Table 3. Summary statistics and calculation of community benefit:
Luton

Sample size                                142
Potential sample size                      1,178
Number of responses with wtp>0             76
Number of responses with wtp=0             66
Mean wtp where wtp>0                       3.13 [pounds sterling]
Mean wtp across all responses              1.68 [pounds sterling]

                                           Lower-bound

Mean monthly wtp of potential sample       0.20 [pounds sterling]
  (assume non-responses wtp=0)

Mean monthly wtp of potential sample
  (assume non-responses wtp=1.79
   [pounds sterling])
(Multiply by number of households in       15,719 [pounds sterling]
  Luton, 74,335)
Estimated wtp across all households in
  Luton
(Multiply by 12 to convert to annual       188,622 [pounds sterling]
  wtp)
Estimated annual wtp across all
  households in Luton
(Add) value of current annual subsidy      87,136 [pounds sterling]
  evaluated at 0.67 [pounds sterling]
  per household
Estimate of annual benefit to Luton        275,758 [pounds sterling]
  households

Sample size
Potential sample size
Number of responses with wtp>0
Number of responses with wtp=0
Mean wtp where wtp>0
Mean wtp across all responses

                                           Upper-bound

Mean monthly wtp of potential sample
  (assume non-responses wtp=0)

Mean monthly wtp of potential sample       1.68 [pounds sterling]
  (assume non-responses wtp=1.79
   [pounds sterling])
(Multiply by number of households in       130,397 [pounds sterling]
  Luton, 74,335)
Estimated wtp across all households in
  Luton
(Multiply by 12 to convert to annual       1,564,766 [pounds sterling]
  wtp)
Estimated annual wtp across all
  households in Luton
(Add) value of current annual subsidy      87,136 [pounds sterling]
  evaluated at 0.67 [pounds sterling]
  per household
Estimate of annual benefit to Luton        1,651,902 [pounds sterling]
  households

Notes: wtp signifies willingness-to-pay (monthly unless stated
otherwise). Individuals' wtp is shown to the nearest penny but 'exact'
means were used in subsequent calculations.
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