An explanation of the advantages and limits of the functional model of monofin swimming technique (Rejman and Ochmann, 2009), which served as a background for the estimation of errors, is needed for clear discussion of the results. The standard procedures employed for interpretation of the network model were the first fundamental advantage of them. This way the results of sensitivity analysis and regression statistics became the source of comparative data (Fausett, 1994; Patterson, 1996). A close link between the model and real swimming was confirmed in the teaching and validation tests of the Neural Networks. The empirical (realistic) validation of the model was made through the comparison of the network response graphs, with the movements recorded, along with their kinematic characteristics. The analysis of the sensitivity confirmed that the best network was chosen in terms of accuracy and adequacy to the modeled process. In this manner the high efficiency of the optimizing movements (model) of the leg and monofin were tested. The results of regression statistics of the network employed, confirmed the high quality of the model constructed. It should to be also emphasized that the values estimated in the testing set of the network pointed out the high calculative possibility of the model in the realm of applied analysis for new cases, wherein the starting point for the application of the solutions modeled in assessment of monofin swimming technique are determined. Nevertheless, the suitability of the model to the analysis of new cases is limited because it was designed for a group of swimmers, homogeneous in terms of their somatic parameters. For that reason other athletes will have to fulfill the same somatic requirements to allow for comparison of their parameters with the data entered into the network. Assuming that the data forming the structural basis of the model could be regarded as typical for the population of the monofin swimmers representing the highest level of proficiency, this limitation seems to not be relevant in terms of realizing the aims of this study (the functional interpretation of the constructed model). The lack of mechanical characteristics of the monofins used in the research can be read as a limitation of model constructed, in terms of objective estimation of the errors. However, assuming that the swimmers chose the fins according to their individual preferences in order to gain the best results during competitions, it can be extrapolated that the model employed reflected the characteristics of the “optimal” fin. The density and stiffness of the fin may affect the energy cost and efficiency of swimming (Nicolas et al., 2010; Pendergast et al., 1996; Zamparo et al., 2002; 2006). But the exact influence of fin design on swimming efficiency still needs to be studied. Zamparo et al. (2006) concluded that the characteristics of the monofin’s surface, taken separately, could not totally predict a result of performance. Therefore, the effects of the material of the fin on swimming speed were not taken into consideration in this study. Validation of the error estimation procedure in this study was based on a direct interpretation of an error defined as an execution (measurable in spatio-temporal dimensions) of movement not in accordance with its pattern (the functional model) (Hay, 1985). This interpretation has its own source within knowledge from the realm of motor skills education, where there is an obvious axiomatic relation between the value of an error and the assessment of movement technique (Bernstein, 1967; Bremer and Sperle, 1984; Richard et. al., 2005). Given this background, errors in the structure of foot and monofin movement can be interpreted within the category of measures of quality of monofin swimming technique, which possess a broad foundation in biomechanics (i.e Alberty et al., 2006; Keskinen et al., 1989; Rejman, 1999; Toussaint et al., 2006.) and physiology (i.e Dekerle et al., 2005; 2006; Morrow et al., 2005; Potdevin et al., 2003; Zamparo et al., 2002; 2005). Within this context, the objectively quantified errors seem to be a useful tool in support to the process of improving of monofin swimming technique in the direction the increasing speed. When trying to clarify how to eliminate errors in order to improve the monofin swimming technique of highly-skilled swimmers, the role of angular displacement of the feet and the distal part of the fin for progression of swimming speed should be emphasized. The torque generated by legs, and transferred to the surface of the monofin, must be balanced against the transfer of moments occurring between the monofin and water. In this scope, the feet are treated as the last active segment in the biomechanical chain which (remaining under the total control of the swimmer) steer torque transfer to the monofin’s surface (Nicolas et al., 2010; Rejman, 2006). It has been shown that maintaining optimal foot flexion, despite the drag acting in the opposite direction, favors maximum swimming velocity (Rejman and Ochmann, 2009). Such conditions are conducive to the intensification of the balance of propulsive forces in both phases of the stroke - a crucial factor for the stabilization of high intra-cycle velocity (Rejman, 2006). The displacement of the feet generated the largest amount of errors. Thus, foot movement seems to be the most difficult element of swimming technique for swimmers to control. These arguments create a foundation for the statement that cognitive control of foot movement (without errors), through self-correction by the swimmer, seems to improve individual monofin swimming technique in the direction of increasing speed. The results showed that a lower displacement of the distal parts of monofin facilitate faster swimming. The proper displacement of the distal part of the fin, in relation to the direction of swimming and the direction of water flow over the surface, determines the hydrodynamic conditions for effective propulsion (Rejman, 2006, Rejman and Ochmann, 2009). It was also discovered that a reduction of errors committed at angular displacement of the distal part of the fin goes hand in hand with a reduction of amplitude of this same part. Arellano et al., 2003 and Nicolas et al. (2007) have demonstrated that greater vertical amplitude leads to a larger effective cross-sectional area and possibly induces more drag. Therefore, a reduction of kick amplitude at optimal level seems to be a factor allowing the achievement the highest monofin swimming velocity. Within this context, avoiding errors through the control of the positioning of the distal part of the monofin (which plays the role of effector of torque generated by the legs) contributes to improvement of monofin swimming technique and so also leads to increased swimming speed. The biomechanical chain of the segments of the leg and the monofin can be treated as a system which works on the basis of the mutual interactive function of its consecutive units. This is illustrated by the fact that swimming speed depends on the minimization of errors within the realm of the chain: feet - tail - the parts of monofin, and also by similarities in the relationships between average swimming velocity and the value of pairs of errors, which are as follows: error of the angle of flexion at the ankle joint, error of the angle of attack of the distal part of the fin, error of the angle of bend in the tail of the fin and error of the angle of attack of the entire surface of the fin. Additionally, the errors committed within the angles of bend (attack) were almost the same. In this perspective, the mechanism for effective propulsion appears to depend on how much an “exact” (in the model sense) and stable torque generated by the legs will be transferred through the tail, onto the “passive” surface of the fin. The results discussed indicate that minimizing errors, as well as increasing swimming velocity, depend mainly on the optimization of movement of the feet aimed at controlling the movement within the limits of property, as well as the proper bending of the distal part of the fin within the limits set by the model. Statistical interpretation of the results suggest that the progression of swimming velocity in each subsequent section of the test trial was obtained through the minimization of errors during realization of a strategy based on increasing the frequency of propulsive movements (stroke frequency) effecting a decrease of the distance swum in one cycle (stroke length). While the relationships between the level of errors and stroke parameters illustrated a reverse relation. Interpretation of these results directs the search for factors in the elimination of errors towards the optimization of stroke parameters. Patterns of fish locomotion (Bainbridge, 1958) hint that the best solution for maintaining maximal swimming speed is keeping movement amplitude (and stroke length) at a constant level while simultaneously increasing stroke rate (Arellano et al., 2003; Nicolas et al., 2007). A comparison of the correlation coefficients outlined allows a formulation of the same generalization. Zamparo et al. (2002; 2006) and Nicolas et al. (2007) have stated that decreased frequency, at a given velocity, leads to lengthened stroke length and therefore should be reduced, depending on the race distance, in order to reduce energy requirements. Other research has reported that insufficient technical skill, or a change in technique resulting from fatigue, are often causes of lengthened stroke rate and shortened stroke length (Nomura and Shimoyama, 2003). This may mean that such an uneconomical strategy is used spontaneously by swimmers, not only by those within the research group. It gives rise to the need to investigate a route for the progression of monofin swimming speed through the reduction of errors and the optimization of stroke parameters, with an eye towards their stabilization. Likewise, the elimination of the factors leading to increased fatigue should be taken into consideration in future research. The results obtained draw attention to the phenomenon of stabilization of stroke length which occurred more visibly than the stabilization of stroke frequency. Another study has also suggested that an increase in swimming velocity may be achieved by increasing stroke rate, maintaining a stable stroke length (Arellano et al., 2003; Chollet et al., 1997) or with both of these parameters (Sidney et al., 1999). When treating errors committed by the swimmers as an aspect of the improvement of monofin swimming technique, it is worth noting that the influences of stroke rate and stroke length on swimming speed increase along with the increase in intensity of fatigue (Cappaert, 1999; Potdevin et al., 2003; Nomura and Shimoyama, 2003; Toussaint et al., 2006.). The tendency mentioned above (probably being the result of fatigue increased over the final part of the test distance, when swimming efficiency dropped in correspondence with a decrease in quality of technique) was also observed in this study. Within this context, the ability to maintain stable stroke length, regardless of the increasing effects of fatigue, understood as a measure of technical skill (Craig et al, 1985; Keskinen et al., 1989; Wakayoshi et al., 1996), sets directions for the improvement of monofin swimming technique. Swimming with a higher stroke rate and longer stroke length, leading to a stable structure of propulsive movements, supports the ability to achieve maximal swimming speed (Cappaert, 1999; Potdevin et al., 2003; Zamparo, 2006). The arguments presented herein lead to the conviction that the improvement of monofin swimming technique should be steered towards increasing stroke frequency, which itself is regarded as the main factor determining the efficiency of fin swimming (Arellano et al., 2003; Nicolas et al., 2007), towards the optimum and most stable stroke length at the highest level possible. On other hand, the lack of dependency between the Strouhal Number, amplitude and frequency of propulsive movements (Nicolas et al, 2007) combined with the interpretation of the results presented herein, leads to a reasonable conclusion that a similar monofin swimming speed can be achieved by employing various variants of amplitude, stroke frequency and stroke length. Therefore, the optimization of stroke parameters seems to derive from an individual level of swimming skills which allows for the maintaining of these parameters at a stable level over the entire distance. The application value of the results obtained, in terms of technical training in monofin swimming, generally consists of an indication of determinant movement sequences (selected in order to reduce or eliminate errors), which draw the attention of swimmers and coaches to crucial points in swimming technique. In this way, the perception of swimmers could be stimulated by a precise verbal naming of the movement structure actually preformed. It is well known that conscious knowledge of a particular technical skill is the main factor supporting the process of teaching and perfecting the techniques of human movement (Meinel and Schnabel, 2007). |