http://www.nature.com/news/2005/050613/full/050613-1.html

Published online: 14 June 2005

Modellers measure 'word of mouth' for films

Mark Peplow

Mathematics calculates quality of sleeper hits and movie bombs.


It's official, says one group of researchers: Blade II is a bad film.
Their study turns patterns of attendance into a single number that claims
to grade a film's quality1.

The number attempts to gauge of how good the 'word of mouth' was around a
given film, based on the behaviour of the harshest critics of all, the
paying public.

César Hidalgo, now a graduate student in physics at the University of
Notre Dame, Indiana, and his colleagues, decided to study the 'word of
mouth' effect in the film world simply because reviews often have a huge
impact on audience numbers and there are copious data on ticket sales.

Hidalgo, along with Carlos Rodriguez-Sickert, an economist at the
Pontifical Catholic University of Chile, Santiago, and Alejandra Castro of
the University of Michigan, Ann Arbor, constructed a mathematical equation
that approximates box-office takings in the weeks after release. They
assume that revenue relies on three major factors: the size of the
possible audience, the initial desire of audience members to see the film
(which is often dictated by the amount spent on marketing and publicity),
and audience response to the film.

The team then plugged arbitrary numbers into their simple equation to
create dozens of graphs describing weekly box-office results for a film
during its cinema lifetime. If the marketing weighed in heavily, for
example, but audience reviews were poor, the resulting graph would peak in
the first week and then plummet. If the reviews were good, however, the
graph would keep climbing.

When they compared their graphs with actual box-office data (available on
the Internet Movie Database) for 44 recent films, they found good matches
for films ranging from huge blockbusters to budget flicks. "It was a
surprise that the model behaved nicely for all different behaviours, and
was not just a coincidence for some of them," says Hidalgo.


Staying power

The team says that the review coefficient (the word-of-mouth component of
their equation) is a rough indicator of the film's quality.

The comedy Kissing Jessica Stein, for example, can be modelled using a
large, positive review coefficient. It started with initially poor
attendance, but increased its box-office take over the following five
weeks owing to good reports from the audience. In contrast, Blade II looks
like a classic bomb: a large negative review coefficient matches its quick
dive in takings.

"It's a fun paper," says Gerben Bakker, an economic historian who studies
Hollywood marketing at the University of Essex, UK. "But it's quite a
basic model. They don't consider a lot of the complications."

Bakker says that the model could be improved by factoring in the effect of
a film's availability on its box-office take, for example. Many people who
would like to see a particular low-budget film are unable to because it is
not playing in a local cinema, he says.


Show me the money

Good quality films don't always win financially, even if they do have more
staying power. A bigger initial interest in Blade II meant that its
overall box-office take was more than ten times greater than that of
Kissing Jessica Stein, which took just US$7 million in the United States.

Big blockbusters are often simultaneously distributed to more than 3,000
cinemas in the United States, explains John Sedgwick, a media economist at
London Metropolitan University, UK. So a film generally does enough
business in its first two weeks to recoup its costs, which is the first
priority of the studio.

However, about 70% of film revenue now comes from outside the box office,
he adds. The rise in home video and DVD sales, along with toys and other
products, means that pleasing the audience is ever more important for a
film's overall financial success.

Hidalgo adds that thinking of films this way should help studios to decide
whether to commission a sequel. Even high-grossing films can be deeply
unpopular with the audience, which dooms their cinematic offspring, he
says.

If only they'd thought of that before commissioning the third in the Blade
series.



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