Decathlon Scoring Tables
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The scoring tables for the
decathlon The decathlon is a combined event in athletics consisting of 10 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. The United States of America (USA), also known as the United States (U.S.) or America, is a country primarily located in North America. It is a federal republic of 50 states and a federal capital district, Washington, D.C. The 48 contiguous ...
in 1884) until 1915, involved
linear In mathematics, the term ''linear'' is used in two distinct senses for two different properties: * linearity of a '' function'' (or '' mapping''); * linearity of a '' polynomial''. An example of a linear function is the function defined by f(x) ...
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 , . Models can be divided in ...
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 organizatio ...
s, but models concurrently used by several
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were based on their respective national records. The decathlon was first included in the
Olympic Games The modern Olympic Games (Olympics; ) are the world's preeminent international Olympic sports, sporting events. They feature summer and winter sports competitions in which thousands of athletes from around the world participate in a Multi-s ...
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, ...
ist in the decathlon in both the 1928 and 1932
Olympics The modern Olympic Games (Olympics; ) are the world's preeminent international sporting events. They feature summer and winter sports competitions in which thousands of athletes from around the world participate in a variety of competit ...
, 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 and International Association of Athletics Federations and formerly abbreviated as the IAAF, is the international sports governing body, governing body for the sport ...
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, officially the Republic of Finland, is a Nordic country in Northern Europe. It borders Sweden to the northwest, Norway to the north, and Russia to the east, with the Gulf of Bothnia to the west and the Gulf of Finland to the south, ...
. This scoring system implemented vast changes, with the following features: (1) All of the individual events were scored with exponential functions, rather than the linear functions that had characterized all decathlon scoring tables to date. For field events, 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
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, 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 (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
, the Finnish and Swedish 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, of the Swedish 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 form of energy that it possesses due to its motion. In classical mechanics, the kinetic energy of a non-rotating object of mass ''m'' traveling at a speed ''v'' is \fracmv^2.Resnick, Rober ...
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 ( ; ) is the capital and List of cities and towns in the Czech Republic, largest city of the Czech Republic and the historical capital of Bohemia. Prague, located on the Vltava River, has a population of about 1.4 million, while its P ...
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