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Biomechanics and Medicine in Swimming XI

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ent outcome at the adult age of the participants. To def<strong>in</strong>e a criterion<br />

variable, all athletes were categorized <strong>in</strong>to three different talent groups<br />

accord<strong>in</strong>g to their personal best adult competition performance up to<br />

the year 2006. So, the best adult swimmers tak<strong>in</strong>g part <strong>in</strong> <strong>in</strong>ternational<br />

championships were assigned to the category of extremely high talented<br />

athletes, the national calibre athletes were assigned to the category of<br />

highly talented swimmers, <strong>and</strong> the regional starters were labelled as normal<br />

talents.<br />

In a third step, the six juvenile talent criteria described above (of the<br />

earlier time period 1997-2001) were used to predict the three f<strong>in</strong>al adult<br />

talent groups (of the year 2006). For the prediction of the f<strong>in</strong>al adult talent<br />

group two methods were used: firstly, a discrim<strong>in</strong>ate analysis (DA),<br />

<strong>and</strong> secondly, the neural network of a Self-organiz<strong>in</strong>g Kohonen Feature<br />

Map (SOFM; DataEng<strong>in</strong>e, MIT Inc., Aachen, Germany).<br />

To obta<strong>in</strong> a “true” prognosis, the talent forecasts on the basis of the<br />

discrim<strong>in</strong>ate analyses <strong>and</strong> on the basis of the neural network method<br />

have to follow a cross-validation procedure. In the case of the discrim<strong>in</strong>ate<br />

analyses, 50 percent of the total number of cases was used to compute<br />

the discrim<strong>in</strong>ate functions that were then used to determ<strong>in</strong>e the<br />

talent outcome of the rema<strong>in</strong><strong>in</strong>g 50 percent of cases.<br />

In the two specific SOFM models for the male <strong>and</strong> the female<br />

swimmers, the talent forecasts were validated by the “leave-one-out”procedure.<br />

Therefore, one less than the total number of the data sets<br />

of the talents (n-1) were used to tra<strong>in</strong> the network (consist<strong>in</strong>g of a 5x5<br />

neuron layer) with 5 000 tra<strong>in</strong><strong>in</strong>g steps. The rema<strong>in</strong><strong>in</strong>g data set of the<br />

one s<strong>in</strong>gle athlete was then presented to the neural network to calculate<br />

a prognosis of his personal adult peak performance category. After<br />

that, the predicted future talent category was compared with the real,<br />

already known adult performance category. This procedure was repeated<br />

for each s<strong>in</strong>gle data set, so that the total number of correctly predicted<br />

cases represents the quality of the talent prediction models for the male<br />

<strong>and</strong> the female swimmers.<br />

results<br />

For talent identification purposes it is essential to know the early performance<br />

prerequisites that form the structure of the current, <strong>and</strong> also the<br />

future adult peak performance (e.g. for the female swimmers see Fig. 2).<br />

Juvenile performance prerequisites <strong>in</strong> 16-20 years old female swimmers (1997-2001)<br />

R = .74; R2 = .55; R2adj = .41; F (22;72) = 4.02; p = 0.001<br />

Psychological V.<br />

Technique &<br />

Coord<strong>in</strong>ation<br />

Condition<br />

Anthropometric<br />

variables<br />

Extr<strong>in</strong>sic<br />

motivation<br />

Action orientation<br />

(after failure)<br />

Psychological<br />

stress stability<br />

Arm movement<br />

frequency<br />

Spr<strong>in</strong>t<strong>in</strong>g power<br />

Strok<strong>in</strong>g power<br />

Shoulder<br />

flexibility<br />

H<strong>and</strong> size<br />

.77 .001<br />

.42<br />

Spr<strong>in</strong>t<strong>in</strong>g speed<br />

(71 %)<br />

.071 .74 .001<br />

.014<br />

.40<br />

.37 .099<br />

.77 .021<br />

.61 .049<br />

.51 .045<br />

.33 .055<br />

Swimm<strong>in</strong>g<br />

coord<strong>in</strong>ation<br />

(64 %)<br />

.79 .071<br />

.60 .039<br />

.44<br />

Adult<br />

Competition<br />

Performance<br />

(2006)<br />

50-m-Crawl<br />

(41 %)<br />

.005<br />

.43 .089<br />

Figure 2. Path analysis on the prognostic relevance of different performance<br />

prerequisites of young female swimmers for the future competition<br />

performance <strong>in</strong> 50 m spr<strong>in</strong>t swimm<strong>in</strong>g (Hohmann, 2009)<br />

The comparison of the real adult performance groups with the predicted<br />

future groups of the talented swimmers at adult age led to far better<br />

predictions, when the neural network method was applied. The percentages<br />

of correctly predicted cases by discrim<strong>in</strong>ate analysis (females: 69.0<br />

percent; males: 50.0 percent) are much lower than those delivered by<br />

SOFM (females: 87.9 percent; males: 68.3 percent; Fig. 3).<br />

Extreme<br />

Talents<br />

100.0 %<br />

High<br />

Talents<br />

77.3 %<br />

Normal<br />

Talents<br />

88.9 %<br />

chaPter4.tra<strong>in</strong><strong>in</strong>g<strong>and</strong>Performance<br />

Extreme<br />

Talents<br />

100.0 %<br />

High<br />

Talents<br />

74.2 %<br />

Normal<br />

Talents<br />

33.3 %<br />

Figure 3. Results of the talent prognosis <strong>in</strong> female (left) <strong>and</strong> male (right)<br />

swimmers on the basis of the nonl<strong>in</strong>ear model of the Self-organiz<strong>in</strong>g<br />

Kohonen Feature Map (s<strong>in</strong>gle <strong>and</strong> double arrows symbolize light resp.<br />

severe classification errors). Extreme talents: Participants <strong>in</strong> Olympic<br />

Games, World Championships, European Championships, <strong>and</strong> German<br />

Championship f<strong>in</strong>als. High talents: European Youth Championships.<br />

Normal talents: German Youth Championships<br />

dIscussIon<br />

This paper aimed at f<strong>in</strong>d<strong>in</strong>g out whether the talent development outcome<br />

can be better modeled by means of the nonl<strong>in</strong>ear mathematical<br />

method of artificial neural networks or by l<strong>in</strong>ear methods such as discrim<strong>in</strong>ate<br />

analyses. The percentages of correctly modeled performances<br />

<strong>in</strong> the l<strong>in</strong>ear discrim<strong>in</strong>ate analysis were comparably lower than <strong>in</strong> the<br />

non-l<strong>in</strong>ear neural network procedure. Thus, the results support the assumption<br />

of Philippaerts et al. (2008) that neural networks are excellent<br />

tools to model <strong>and</strong> to predict future competitive performance categories<br />

on the basis of juvenile talent make-up data.<br />

S<strong>in</strong>ce there is no guarantee that such model<strong>in</strong>g <strong>and</strong> talent prediction<br />

will lead to similar results <strong>in</strong> other groups, the validation procedure has<br />

to be applied to data sets of other swimmers. Based on the results of<br />

this procedure it must be decided whether the neural network is a good<br />

or poor model of talent development <strong>in</strong> swimm<strong>in</strong>g. To obta<strong>in</strong> a good<br />

model, it may require changes <strong>in</strong> some of the tra<strong>in</strong><strong>in</strong>g parameters.<br />

conclusIon<br />

The better results of the neural network analysis compared with the<br />

poorer results of the discrim<strong>in</strong>ate analysis support the <strong>in</strong>terpretation<br />

that the adaptive behaviour of the athlete is a non-l<strong>in</strong>ear complex problem.<br />

This supports a dynamic systems approach to talent development <strong>in</strong><br />

which the young athlete unfolds a performance development process <strong>in</strong><br />

a self-organized way, which is <strong>in</strong>fluenced by various personal <strong>and</strong> contextual<br />

moderator variables (Gagnè, 1985; Heller & Hany, 1986; Heller,<br />

et al., 2005; Cote, et al., 2003).<br />

As neural networks are able to recognize global patterns of different<br />

talent make-ups, they are a worthwhile tool <strong>in</strong> the detection of talents<br />

under the condition of the non-l<strong>in</strong>ear talent development. Hence, from<br />

a dynamical systems po<strong>in</strong>t of view, a successful neural network model<strong>in</strong>g<br />

may be <strong>in</strong>terpreted as a representation of deviations of the different<br />

states of the system from equi-probability, <strong>in</strong> our case the identification<br />

of different patterns of juvenile athletic performance. This is a very <strong>in</strong>terest<strong>in</strong>g<br />

aspect of the model<strong>in</strong>g of competitive performances, because<br />

the non-l<strong>in</strong>ear dynamic systems perspective is rapidly emerg<strong>in</strong>g as one<br />

of the dom<strong>in</strong>ant meta-theories <strong>in</strong> the natural sciences, <strong>and</strong> there is also<br />

reason to believe that <strong>in</strong> the future it will eventually provide a more<br />

general <strong>in</strong>tegrative underst<strong>and</strong><strong>in</strong>g <strong>in</strong> tra<strong>in</strong><strong>in</strong>g science, as well.<br />

reFerences<br />

Abbot, A. & Coll<strong>in</strong>s, D (2002). A theoretical <strong>and</strong> empirical analysis of<br />

a `State of the Art` talent identification model. High Ability Studies,<br />

13(2), 157-78.<br />

Abbot, A. & Coll<strong>in</strong>s, D (2004) Elim<strong>in</strong>at<strong>in</strong>g the dichotomy between<br />

theory <strong>and</strong> practice <strong>in</strong> talent identification <strong>and</strong> development: consider<strong>in</strong>g<br />

the role of psychology. Journal of Sport Sciences, 22(5), 395-408.<br />

Cotè, J., Baker, J. & Abernethy, B. (2003). From Play to Practice. A<br />

Developmental Framework for the Acquisition of Expertise <strong>in</strong> Team<br />

263

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