Decathlon scoring table
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The scoring tables for the
decathlon The decathlon is a combined event in athletics consisting of ten track and field events. The word "decathlon" was formed, in analogy to the word "pentathlon", from Greek δέκα (''déka'', meaning "ten") and ἄθλος (''áthlos'', or ἄ ...
have undergone continual evolution since their inception about a century ago, with several changes to both the character of the equations and the indices on which the equations are based.


Early decathlon tables

All of the earliest attempts at formalizing decathlon scoring, from the first formal submission (prepared by the U.S. in 1884) until 1915, involved
linear Linearity is the property of a mathematical relationship ('' function'') that can be graphically represented as a straight line. Linearity is closely related to '' proportionality''. Examples in physics include rectilinear motion, the linear ...
scoring equations. The American
model A model is an informative representation of an object, person or system. The term originally denoted the plans of a building in late 16th-century English, and derived via French and Italian ultimately from Latin ''modulus'', a measure. Models c ...
was based on
world record A world record is usually the best global and most important performance that is ever recorded and officially verified in a specific skill, sport, or other kind of activity. The book ''Guinness World Records'' and other world records organization ...
s, but models concurrently used by several
Nordic countries The Nordic countries (also known as the Nordics or ''Norden''; lit. 'the North') are a geographical and cultural region in Northern Europe and the North Atlantic. It includes the sovereign states of Denmark, Finland, Iceland, Norway and Sw ...
were based on their respective national records. The decathlon was first included in the
Olympic Games The modern Olympic Games or Olympics (french: link=no, Jeux olympiques) are the leading international sporting events featuring summer and winter sports competitions in which thousands of athletes from around the world participate in a multi ...
in 1912, requiring a uniform standard. The first Olympic tables adopted were also linear functions; they were based not on world or national records, but, rather, on the 1908 Olympic records for each of the individual events. The tables were soon updated with the 1912 Olympic records, while the complicated and universally unpopular extension of event scores to three decimal places was discarded in favor of integer scores; thus, these tables were used for the next four Olympiads. The rapid evolution of the scoring tables caused results to vary widely: for instance, Akilles Järvinen, the
silver medal A silver medal in sports and other similar areas involving competition is a medal made of, or plated with, silver awarded to the second-place finisher, or runner-up, of contests or competitions such as the Olympic Games, Commonwealth Games, et ...
ist in the decathlon in both the 1928 and 1932
Olympics The modern Olympic Games or Olympics (french: link=no, Jeux olympiques) are the leading international sporting events featuring summer and winter sports competitions in which thousands of athletes from around the world participate in a vari ...
, would have won gold medals in both years rather handily under most later scoring tables.


Tests for legitimacy

Beginning in 1920, the IAAF considered, at least, the following criteria for a legitimate decathlon scoring table: (1) The table should reflect the fact that, at higher levels of performance, a unit gain (such as a decrement of 0.01 second in sprint times) is more significant than at lower levels of performance, because of the physiological limitations of the human body. (2) The scores for different events should be comparable, in a manner such that equal skill levels in different events (however difficult it is to define such a concept) are rewarded with equal point levels.


1934 scoring tables

In 1934, the
IAAF World Athletics, formerly known as the International Amateur Athletic Federation (from 1912 to 2001) and International Association of Athletics Federations (from 2001 to 2019, both abbreviated as the IAAF) is the international governing body fo ...
adopted a new set of scoring tables, proposed by Suomen Urheiluliitto (the Finnish athletics federation), that had already been used for a few years in national competitions in
Finland Finland ( fi, Suomi ; sv, Finland ), officially the Republic of Finland (; ), is a Nordic country in Northern Europe. It shares land borders with Sweden to the northwest, Norway to the north, and Russia to the east, with the Gulf of Bot ...
. This scoring system implemented vast changes, with the following features: (1) All of the individual events were scored with
exponential function The exponential function is a mathematical function denoted by f(x)=\exp(x) or e^x (where the argument is written as an exponent). Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, ...
s, rather than the linear functions that had characterized all decathlon scoring tables to date. For
field events Throwing sports, or throwing games, are physical, human competitions where the outcome is measured by a player's ability to throw an object. The two primary forms are throwing for distance and throwing at a given target or range. The four most p ...
, this was a straightforward statistical procedure; for track events, the
reciprocal Reciprocal may refer to: In mathematics * Multiplicative inverse, in mathematics, the number 1/''x'', which multiplied by ''x'' gives the product 1, also known as a ''reciprocal'' * Reciprocal polynomial, a polynomial obtained from another pol ...
of the athlete's time, representing
speed In everyday use and in kinematics, the speed (commonly referred to as ''v'') of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quant ...
, was used as the independent variable. (2) The tables ranged from 0 to 1150 points per event. Zero points corresponded to the performances of untrained schoolchildren, while 1000 point performances corresponded closely to world records.


1950 scoring tables

After
World War II World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the World War II by country, vast majority of the world's countries—including all of the great power ...
, the
Finnish Finnish may refer to: * Something or someone from, or related to Finland * Culture of Finland * Finnish people or Finns, the primary ethnic group in Finland * Finnish language, the national language of the Finnish people * Finnish cuisine See also ...
and
Swedish Swedish or ' may refer to: Anything from or related to Sweden, a country in Northern Europe. Or, specifically: * Swedish language, a North Germanic language spoken primarily in Sweden and Finland ** Swedish alphabet, the official alphabet used by ...
athletics federations joined forces to draft scoring tables appropriate for Olympic athletes' improved postwar performances. All of the tables remained progressive in nature; in fact, the progressive character of every one of the ten tables increased.


1962 scoring tables

In the years following the implementation of the 1950 tables, controversy arose in regard to the highly progressive character of the tables. Specifically, the tables conferred a distinct advantage on decathletes who were specialists in individual events, with passing, but not stellar, performances in the other events, while putting well-rounded athletes at a relative disadvantage. To remedy this problem,
Axel Jörbeck Axel may refer to: People * Axel (name), all persons with the name Places * Axel, Netherlands, a town ** Capture of Axel, a battle at Axel in 1586 Arts, entertainment, media * ''Axel'', a 1988 short film by Nigel Wingrove * ''Axel'', a Cirque ...
, of the
Swedish Swedish or ' may refer to: Anything from or related to Sweden, a country in Northern Europe. Or, specifically: * Swedish language, a North Germanic language spoken primarily in Sweden and Finland ** Swedish alphabet, the official alphabet used by ...
athletic federation, devised new tables that were actually ''regressive'' in throwing events, while retaining their progressive character in track events. The rationale behind the changes was the proportion between
kinetic energy In physics, the kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acce ...
imparted to a throwing implement and the ''square'' of its initial velocity – and therefore distance travelled – so that a progressive or even linear table caused unfairly large increments in the score for throwing events.


1984 scoring tables

By the early 1980s, more problems had been pointed out with the then-current scoring tables. Specifically, the regressive nature of Jörbeck's tables for the field events seemed to obviate the importance of elite performances in those events; decathletes' field-event performances had improved to the point where further score increments were practically negligible. Moreover, besides sapping decathletes' motivation to improve in field events, the tables also gave an unfair advantage to competitors in the track events – both because those tables were still progressive, and because decathletes' performances in those events were much closer to the world records. The IAAF working committee therefore met in 1983 in
Prague Prague ( ; cs, Praha ; german: Prag, ; la, Praga) is the capital and largest city in the Czech Republic, and the historical capital of Bohemia. On the Vltava river, Prague is home to about 1.3 million people. The city has a temperate ...
to develop improved tables, putting forth the following nine principles, which still stand today: # The decathlon scoring tables should differ from those used for individual event scoring. # The scores for different events should be comparable, in a manner such that equal skill levels in different events (however difficult it is to define such a concept) are rewarded with equal point levels. # The new tables should be one of the following: ## modified versions of the existing ones, ## linear in all events, or ## slightly progressive in all events. # The tables should be applicable to all levels of performance, from youth to elite. # Men and women should have different tables. # Specialists' performances should be the basis for the scores in the tables. # The new tables should be applicable now and in the future. # The total scores using the new tables for the top world-class athletes should remain approximately the same (about 8500 points). # As much as possible, the new tables should ensure that a specialist in one event cannot overcome top performances in the other events. The 1984 tables are still in use today, with a slight update in 1998 to add entries for the long throws for odd numbers of centimeters (these were rounded to the next-lower multiples of 2 cm until 1997).


References

{{reflist Decathlon