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长距离公路赛跑中的起搏的长程相关性和复杂调节。

Long-range correlations and complex regulation of pacing in long-distance road racing.

机构信息

Faculty of Philosophy II, Julius Maximilians University Wuerzburg, Wuerzburg, Germany.

出版信息

Int J Sports Physiol Perform. 2014 May;9(3):544-53. doi: 10.1123/IJSPP.2012-0334.

Abstract

PURPOSE

To analyze time-domain, spectral, and fractal properties of speed regulation during half-marathon racing.

METHODS

In 21 male experienced runners, high-resolution data on speed (V), stride frequency (SF), and stride length (SL) were assessed during half-marathon competition (21,098 m). Performance times, time- and frequency-domain variability, spectral-scaling exponent (beta), and fractal dimension (FD) of V, SF, and SL were analyzed.

RESULTS

V of 3.65 ± 0.41 m/s, SF of 1.41 ± 0.05 Hz, and SL of 2.58 ± 0.25 m occurred with higher (P < .05) individual variability in V and SL than in SF. Beta and FD were always 1.04-1.88 and 1.56-1.99, respectively. Beta and FD differed (P < .05) in SF and SL compared with V and were correlated in V and SL (r = .91, P < .05). Spectral peaks of V, SF, and SL occurred at wavelengths of 3-35 min, and those of V and SL were interrelated (r = .56, P < .05). Mean SF and mean SL were significantly correlated with performance (r = .59 and r = .95, P < .05). SL accounted for 84% ± 6% and SF for 16% ± 6% of speed variability.

CONCLUSIONS

The observed nonrandom fluctuations in V, SF, and SL correspond to nonstationary fractional Brownian motion with inherent long-range correlations. This indicates a similar complex regulation process in experienced runners that is primarily mediated via SL.

摘要

目的

分析半程马拉松比赛中速度调节的时域、频域和分形特性。

方法

在 21 名经验丰富的男性跑步者中,在半程马拉松比赛(21098 米)期间评估了速度(V)、步频(SF)和步长(SL)的高分辨率数据。分析了 V、SF 和 SL 的性能时间、时频域变异性、谱标度指数(β)和分形维数(FD)。

结果

V 为 3.65 ± 0.41 m/s,SF 为 1.41 ± 0.05 Hz,SL 为 2.58 ± 0.25 m,V 和 SL 的个体变异性高于 SF(P <.05)。β和 FD 始终分别为 1.04-1.88 和 1.56-1.99。与 V 相比,SF 和 SL 的β和 FD 存在差异(P <.05),并且 V 和 SL 之间存在相关性(r =.91,P <.05)。V、SF 和 SL 的谱峰出现在 3-35 分钟的波长范围内,V 和 SL 的谱峰相互关联(r =.56,P <.05)。平均 SF 和平均 SL 与表现显著相关(r =.59 和 r =.95,P <.05)。SL 占速度变异性的 84%±6%,SF 占 16%±6%。

结论

观察到的 V、SF 和 SL 的非随机波动与具有固有长程相关性的非平稳分数布朗运动相对应。这表明,经验丰富的跑步者中存在类似的复杂调节过程,主要通过 SL 来调节。

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