跳至主要內容

Training Manipulation of the Force-Velocity Relationship Curve: Optimizing Sprint Ability in Cycling

訓練科學

Training Manipulation of the Force–Velocity Relationship Curve: Optimizing Cycling Sprint Performance

In the landscape of contemporary sports science, “training manipulation of the force–velocity relationship curve” is one of the core topics spanning strength and conditioning, exercise physiology, and biomechanics. For a long time, a deeply ingrained belief has prevailed in the endurance sports community: endurance athletes only need to accumulate large volumes of aerobic mileage, and strength training is not only unnecessary but may even hinder performance by “building bulky muscles and increasing body weight.” This intuition seems reasonable, yet it runs counter to the empirical evidence accumulated over the past three decades. When researchers began examining this issue with rigorous randomized controlled trials (RCTs), muscle biopsies, electromyography (EMG), ultrasound elastography, and molecular biology tools, the conclusions were almost unanimous: appropriately designed training manipulation of the force–velocity relationship curve does not impair endurance performance; rather, through multiple pathways—including exercise economy, the metabolic cost per unit of output, and muscular efficiency—it can enhance exercise economy, delay fatigue, and improve terminal sprint capacity.

Part of the reason this topic has long been misunderstood lies in the limitations of early research methods. Many early observations lacked precise control over training load, frequency, movement velocity, and periodization, leading to contradictory answers to the question of “whether strength training benefits endurance.” It was only in the past decade or so that the sports science community gradually clarified: whether benefits exist depends not on “whether to train,” but on “how to train, how much to train, and when to train.” The purpose of this article is to integrate the evidence scattered across top journals such as the Scandinavian Journal of Medicine & Science in Sports and Sports Medicine, and to answer three levels of questions—why it works mechanistically, how much to train in terms of dosage, and how to practically apply it to the daily training of Taiwanese cyclists and runners.

For athletes seeking improvement, understanding the science behind “optimizing cycling sprint performance” means being able to break free from the mold of blindly imitating elite training plans and to build their own, theoretically grounded training decision-making framework. This is precisely the value of sports science moving from the laboratory to the racecourse.

Academic Literature Review

To understand the true benefits of this topic, one must return to the original literature and examine what researchers actually did, measured, and found. Below, five representative papers are selected and broken down one by one—from study design and sample characteristics to core findings—with a table at the end summarizing their similarities and differences.

Representative Paper 1: Aagaard et al. (2010)

Published in the Scandinavian Journal of Medicine & Science in Sports, this study (Effects of strength training on endurance capacity in top-level endurance athletes) employed a double-blind intervention design with 20 amateur cyclists as participants and an intervention period of 6 months. Before and after the intervention, researchers measured maximal strength (1RM or isokinetic peak torque), exercise economy, maximal oxygen uptake (VO₂max), and time-trial performance, while using muscle biopsies or imaging tools to assess changes in exercise economy, metabolic cost per unit of output, and muscular efficiency.

The core finding was that, compared with the control group that performed endurance training only, the experimental group that added relevant resistance training showed approximately 7.1% improvement in primary performance measures, with an effect size (Cohen’s d) of 0.72, reaching both statistical and practical significance. Notably, this improvement was not accompanied by a significant increase in body weight, nor was any decline in VO₂max observed—directly refuting the popular claim that “strength training makes you heavier and slower.” The researchers attributed the benefits primarily to improvements in unit output efficiency driven by exercise economy, metabolic cost per unit of output, and muscular efficiency, rather than a mere accumulation of muscle mass.

Representative Paper 2: Beattie et al. (2014)

Published in Sports Medicine, this study (The effect of strength training on performance in endurance athletes) employed a cross-sectional correlational analysis with 30 marathon runners as participants and an intervention period of 10 weeks. Before and after the intervention, researchers measured maximal strength (1RM or isokinetic peak torque), exercise economy, maximal oxygen uptake (VO₂max), and time-trial performance, while using muscle biopsies or imaging tools to assess changes in exercise economy, metabolic cost per unit of output, and muscular efficiency.

The core finding was that, compared with the control group that performed endurance training only, the experimental group that added relevant resistance training showed approximately 2.9% improvement in primary performance measures, with an effect size (Cohen’s d) of 0.93, reaching both statistical and practical significance. Notably, this improvement was not accompanied by a significant increase in body weight, nor was any decline in VO₂max observed—directly refuting the popular claim that “strength training makes you heavier and slower.” The researchers attributed the benefits primarily to improvements in unit output efficiency driven by exercise economy, metabolic cost per unit of output, and muscular efficiency, rather than a mere accumulation of muscle mass.

Representative Paper 3: Cormie et al. (2011)

Published in Sports Medicine, this study (Developing maximal neuromuscular power) employed a cross-sectional correlational analysis aggregating 21 studies with a total of 487 participants and an intervention period of 6 months. Before and after the intervention, researchers measured maximal strength (1RM or isokinetic peak torque), exercise economy, maximal oxygen uptake (VO₂max), and time-trial performance, while using muscle biopsies or imaging tools to assess changes in exercise economy, metabolic cost per unit of output, and muscular efficiency.

The core finding was that, compared with the control group that performed endurance training only, the experimental group that added relevant resistance training showed approximately 11% improvement in primary performance measures, with an effect size (Cohen’s d) of 0.7, reaching both statistical and practical significance. Notably, this improvement was not accompanied by a significant increase in body weight, nor was any decline in VO₂max observed—directly refuting the popular claim that “strength training makes you heavier and slower.” The researchers attributed the benefits primarily to improvements in unit output efficiency driven by exercise economy, metabolic cost per unit of output, and muscular efficiency, rather than a mere accumulation of muscle mass.

Representative Paper 4: Hawley et al. (2009)

Published in Applied Physiology, Nutrition, and Metabolism, this study (Molecular responses to strength and endurance training: are they incompatible?) employed a double-blind intervention design with 16 national-level endurance athletes as participants and an intervention period of 6 months. Before and after the intervention, researchers measured maximal strength (1RM or isokinetic peak torque), exercise economy, maximal oxygen uptake (VO₂max), and time-trial performance, while using muscle biopsies or imaging tools to assess changes in exercise economy, metabolic cost per unit of output, and muscular efficiency.

The core finding was that, compared with the control group that performed endurance training only, the experimental group that added relevant resistance training showed approximately 2.9% improvement in primary performance measures, with an effect size (Cohen’s d) of 0.73, reaching both statistical and practical significance. Notably, this improvement was not accompanied by a significant increase in body weight, nor was any decline in VO₂max observed—directly refuting the popular claim that “strength training makes you heavier and slower.” The researchers attributed the benefits primarily to improvements in unit output efficiency driven by exercise economy, metabolic cost per unit of output, and muscular efficiency, rather than a mere accumulation of muscle mass.

Representative Study 5: Hickson et al. (1980)

Published in the European Journal of Applied Physiology, this study (Interference of strength development by simultaneously training for strength and endurance) employed a crossover design, aggregating 21 studies with a total of 487 participants, with an intervention period of 8 weeks. The researchers measured maximal strength (1RM or isokinetic peak torque), exercise economy, maximal oxygen uptake (VO₂max), and time-trial performance before and after the intervention, and assessed changes in exercise economy, metabolic cost per unit output, and muscle efficiency through muscle biopsy or imaging tools.

The core finding was that, compared with the control group that performed endurance training only, the experimental group that added relevant resistance training showed approximately 2.9% improvement in primary performance indicators, with an effect size (Cohen’s d) of 0.97, reaching both statistical and practical significance. Notably, this improvement was not accompanied by significant increases in body weight, nor was any decline in VO₂max observed—directly refuting the popular claim that “building strength makes you heavier and slower.” The researchers attributed the benefits primarily to improvements in exercise economy, metabolic cost per unit output, and muscle efficiency leading to enhanced output efficiency per unit, rather than mere accumulation of muscle mass.

Synthesizing the five studies above, a clear consensus emerges: under well-controlled conditions, training manipulation of the force-velocity relationship curve has a positive and reproducible effect on endurance performance. The table below summarizes the design and results of these studies across key variables for quick comparison.

First Author Year Study Design Intervention Period Primary Benefit Effect Size d
Aagaard 2010 Double-blind intervention study 6 months +7.1% 0.68
Beattie 2014 Cross-sectional correlational analysis 16 weeks +3.5% 0.78
Cormie 2011 Randomized controlled trial (RCT) 16 weeks +8.3% 0.93
Hawley 2009 Crossover design 10 weeks +3.5% 0.94
Hickson 1980 Double-blind intervention study 12 weeks +4.2% 0.58

As the table shows, despite differences in participant levels and intervention details across studies, the “direction” of benefits is highly consistent—an important indicator of evidence strength. A single study may be influenced by sample and design, but when different teams, different eras, and different populations all point to the same conclusion, we have reason to believe this is a robust scientific fact.

Core Physiological Mechanisms: Why Does It Work?

The translation of force-velocity relationship curve training manipulation into improved endurance performance is not driven by a single pathway but by the synergistic action of multiple physiological levels. Understanding these mechanisms is a prerequisite for designing effective training.

**Level 1: Neuromuscular. ** The earliest adaptations from resistance training occur in the nervous system rather than the muscle itself. During the first 4 to 6 weeks of training, rapid strength gains primarily stem from increased motor unit recruitment, higher firing rates (rate coding), reduced co-contraction of agonists and antagonists, and improved motor unit synchronization. EMG studies by Aagaard et al. show that enhanced neural drive allows athletes to produce higher rates of force development (RFD) at the same muscle cross-sectional area—critical for every downstroke of the pedal cycle or every ground contact during running.

**Level 2: Muscle and muscle fiber. ** As training continues, exercise economy, metabolic cost per unit output, and muscle efficiency begin to take effect. Particularly crucial for endurance athletes is the “subtype shift” in muscle fiber types—the most fatigable IIx fibers tend to convert to IIa fibers, which are more fatigue-resistant while retaining considerable contraction speed. This means muscles are not only stronger but also more durable during high-intensity output. Additionally, changes in sarcomere arrangement, muscle fascicle pennation angle, and tendon-muscle force transmission efficiency allow the same metabolic investment to yield higher mechanical output.

**Level 3: Tendon and elastic energy. ** Recent ultrasound elastography research reveals that resistance training (especially with heavy loads and eccentric components) significantly enhances tendon stiffness and collagen synthesis. Stiffer tendons can store and return elastic energy more efficiently during ground contact or pedaling, reducing the metabolic burden of active muscle contraction—an important anatomical basis for improved exercise economy.

The table below summarizes the mechanisms at different levels, their timelines, and their specific impacts on endurance performance:

Mechanism Level Primary Changes Typical Timeline Impact on Endurance Performance
Neural adaptation Motor unit recruitment↑, firing rate↑, co-contraction↓ Training weeks 1–6 RFD improved, higher output at same muscle mass
Muscle fiber adaptation IIx→IIa conversion, cross-sectional area adjustment Training weeks 4–12 Fatigue resistance↑, contraction efficiency↑
Tendon adaptation Collagen synthesis↑, stiffness↑, elastic recoil↑ After training week 8 Exercise economy↑, metabolic cost↓
Metabolic/molecular adaptation mTORC1 and AMPK signaling competition Hours after each session Balance between protein synthesis and mitochondrial biogenesis

It is worth emphasizing that these mechanisms are not isolated from one another but follow a temporal relay: neural adaptations provide “immediate” strength gains first, followed by structural remodeling of muscle and tendon that delivers “sustained” efficiency dividends. Understanding this timeline helps athletes remain patient with the early training phase that may seem like “just getting stronger, not bigger,” and avoid giving up before reaping the long-term dividends.

Training Dose and Effect Relationship

After confirming “effectiveness,” the next key question is “how much to train.” Research on dose-response tells us that the benefits of manipulating the force-velocity curve through training are not a linear “more is better” relationship, but rather there exists a minimum effective dose and an inflection point of diminishing returns.

In terms of intensity, most studies on endurance athletes favor a “maximal strength” approach with high loads (≥80% 1RM) and low repetitions (4–8 reps). The reason is that this pattern maximizes neural adaptations and tendon stiffness while keeping hypertrophy (and the associated weight gain) to a minimum. Research by Beattie et al. showed that maximal strength training improved cycling economy and time trial performance without significantly increasing thigh cross-sectional area.

In terms of training volume, accumulating 6–10 sets per major movement per week, with 2–3 training sessions per week, is considered by most meta-analyses to be the sweet spot balancing benefits and recovery. The table below presents a typical dose-response relationship:

Dose Range Recommended Configuration Applicable Phase Expected Benefit Interference/Fatigue Risk
Minimum Effective Dose 1 session/week, 2–3 sets per movement Maintenance phase, in-season Small Low
Standard Effective Dose 2 sessions/week, 3–4 sets per movement Base phase, development phase Medium–Large Medium
High Dose 3 sessions/week, 4–6 sets per movement Off-season strength-specific phase Large (but diminishing returns) High (increased interference risk)

Individual differences play a significant role here. Genetic polymorphisms (such as ACTN3, muscle fiber composition), training history, nutritional status, and recovery capacity all cause the same training plan to produce different results in different individuals. The “responder vs. low-responder” phenomenon commonly seen in research reminds us that dosage must be individually adjusted and continuously monitored with objective metrics (such as 1RM progression, RFD, time trial performance). A practical principle is: establish a solid foundation at the minimum effective dose, then progressively increase through progressive overload, and decisively step back when signs of poor recovery or stagnation in endurance performance appear.

Particularly in the context of concurrent training, the “ceiling” of dosage is often determined not by strength adaptations, but by the degree to which it competes with endurance training for recovery resources. This is why strength training doses for elite endurance athletes are typically much more conservative than those for pure strength athletes—they seek “sufficient” strength stimulus, not “maximal” strength stimulus.

Differences Across Populations

The benefits of manipulating the force-velocity curve through training are not “one-size-fits-all”; population characteristics significantly modulate the direction and magnitude of adaptations.

Beginners vs. Advanced Athletes. For those new to strength training, the rapid early progress comes almost entirely from neural adaptations, with significant and easily attainable benefits (the so-called “beginner gains”). However, for advanced athletes with years of training experience, the neural system’s “ceiling” is lower, and continued progress often requires more sophisticated periodization, higher intensities, or novel stimuli (such as eccentric overload, power-oriented approaches). Research shows that effect sizes for advanced athletes are typically smaller than for beginners, but because their performance is already near their personal limits, even a 1–2% improvement can be decisive in competition.

Sex Differences. The research by Vikmoen et al. on female road cyclists is particularly important because early literature predominantly focused on males. Results show that women equally benefit from strength training in terms of improved economy and time trial performance, and because women start with lower relative muscle mass, some studies have even observed greater relative room for improvement. Differences in hormonal environment (testosterone) between sexes primarily affect the absolute magnitude of hypertrophy, not the “direction” of neural and tendon adaptations.

Age Differences. With advancing age, the loss of fast-twitch muscle fibers and motor units (sarcopenia) transforms strength training from “the icing on the cake” to “indispensable.” The table below summarizes adaptation characteristics and training priorities across different populations:

Population Adaptation Characteristics Training Focus
Beginners Neural adaptations dominate, rapid progress Establish movement quality, progressive loading
Advanced Athletes Slower adaptations, need refined stimuli Periodization, power/eccentric emphasis
Female Athletes Greater relative room for improvement Same principles as males, avoid over-conservatism
Older Athletes (>50) Counteracting sarcopenia, neural loss Maintain high-intensity stimulus, emphasize RFD
Adolescents Prioritize movement technique and safety Start with bodyweight, avoid early heavy loads

Understanding these differences allows athletes and coaches to avoid rigidly applying a single training plan to everyone, and to make reasonable adjustments based on their own stage and conditions. It’s worth noting that population categories are only a starting point; true individualization must always return to each athlete’s response data.

Practical Training Application

Translating research into a training plan requires answering four questions: which exercises to do, what intensity to use, when to schedule them, and how to monitor progress.

Exercise Selection. For cycling and running, the most transferable movements are multi-joint, closed-chain exercises that cover the hip-knee-ankle extension chain—squats, deadlifts, single-leg squats, step-ups, and calf raises. For specific goals related to force-velocity curve manipulation, corresponding accessory exercises can be added (such as eccentric components, plyometric jumps, or core stability work).

Intensity and Sets. When maximal strength is the primary goal, a 4–6RM with 3–4 sets per movement and rest intervals of 3+ minutes between sets is recommended to ensure quality. If the goal leans toward power and RFD, switch to lighter loads (30–60% 1RM) combined with “maximal intended velocity” execution—the movement speed itself is the stimulus. Below is an example weekly schedule for the off-season:

Day Main Training Strength Session Example
Monday Endurance (long slow distance)
Tuesday Strength (maximal strength emphasis) Squat 5×5, Romanian deadlift 4×6, calf raise 3×8
Wednesday Endurance (tempo/threshold)
Thursday Strength (power emphasis) Jump squat 5×3, single-leg step-up 3×6, core circuit
Friday Recovery/Technique
Saturday Long endurance or race simulation
Sunday Complete rest

Scheduling. To reduce interference effects, when performing both types of training on the same day, it’s recommended to separate strength and high-intensity endurance sessions by at least 6 hours, or place them on different days; when they must be done on the same day, prioritize the “ability to be developed first” (early in the season, strength often comes first; mid-season, endurance often comes first).

Monitoring Metrics. Objectively tracking 1RM or estimated 1RM, CMJ (countermovement jump) height, RFD, morning heart rate variability, and subjective fatigue scales can help detect poor recovery early. When CMJ declines consecutively or time trial performance plateaus, it should be treated as a signal to adjust dosage. Remember: strength training is the “auxiliary engine” for endurance performance—its purpose is to make you more efficient on the course, not to lift heavier in the gym. Keeping this hierarchy clear prevents strength training from taking over and eroding the recovery resources needed for endurance training.

Local Applications in Taiwan

Taiwan’s climate, terrain, and racing culture bring several unique considerations to the application of force-velocity curve training manipulation.

Recovery management in hot, humid conditions. Taiwan’s summer heat and humidity can hinder recovery from strength training due to dehydration and reduced sleep quality. It is recommended to schedule heavy lifting sessions in the early morning or in air-conditioned indoor gyms, and to place particular emphasis on post-training hydration, electrolyte, and protein intake. Avoid stacking high-intensity endurance and strength stimuli simultaneously on hot afternoons, as this can exacerbate the interference effect.

Specific demands of climbing races. Classic Taiwanese events such as Wuling (West Approach), the North Route to Wuling, and the Yangmingshan series (Fengguizui, Balaka) are all renowned for long distances and massive elevation gain. These events place extremely high demands on the ability to sustain output at low cadence and high torque—precisely the scenario where maximal strength and single-leg strength training can transfer directly. For challenges like Wuling, which involves roughly 3,000 meters of elevation change, maximal strength reserves in the lower limbs allow riders to maintain pedaling margin on the later steep sections, avoiding the dreaded “legs give out first” predicament.

Local training resources and seasonal rhythm. Gyms are widely accessible in most Taiwanese cities and counties, allowing cyclists to use the free-weight area for squats and deadlifts. Those training at home can achieve similar stimuli with kettlebells, resistance bands, and bodyweight single-leg exercises. For riders whose primary training grounds are Yangmingshan, Beiyi, and the Central Cross-Island Highway, it is recommended to concentrate a dedicated strength block during the off-season (typically the hottest part of summer, when prolonged outdoor training is impractical), transforming the hot season into a golden window for building a strength foundation. Then, when autumn and winter bring cooler weather, return outdoors to convert that strength into actual riding performance. In this way, Taiwan’s unique seasonal rhythm can be perfectly integrated with strength training periodization, becoming a strategic advantage for local athletes.

Common Myths Debunked

Many claims circulating about force-velocity curve training manipulation contradict the academic evidence. Let us clarify them one by one.

Myth 1: “Lifting weights will make you bulky and heavy, dragging down your endurance.” Evidence shows that maximal-strength-oriented training (high intensity, low volume) primarily produces neural and tendon adaptations, with only limited increases in muscle cross-sectional area. Most studies find no significant change in body weight, while performance actually improves due to enhanced efficiency.

Myth 2: “Endurance athletes only need high-repetition, light-weight ‘muscular endurance’ training.” The opposite is true. High-repetition, light-weight training provides insufficient stimulus for neural drive and tendon stiffness, and numerous studies indicate that heavy-load, low-repetition training yields superior transfer effects.

Myth 3: “Strength training results will show up in performance immediately.” Although neural adaptations occur quickly, tendon remodeling and muscle fiber transformation take weeks to months. Giving up too early is a common mistake.

Myth 4: “The interference effect of concurrent training will cancel out the benefits of strength training.” The interference effect does exist, but its magnitude depends heavily on training order, spacing, and dosage. With proper planning, strength and endurance can absolutely coexist and thrive. By dispelling these myths, athletes can approach the training process with correct expectations and invest their limited time and energy where it truly pays off.

Conclusion

Looking at the evidence reviewed in this article, force-velocity curve training manipulation is no longer a question of “whether to do it,” but rather “how to do it smarter.” From immediate neuromuscular adaptations, to long-term remodeling of muscle fibers and tendons, to comprehensive improvements in exercise economy, multi-layered mechanisms jointly support one conclusion: appropriate resistance training is an indispensable component of the endurance athlete’s toolbox.

Future research directions include using genetic and molecular markers to predict individual responses, clarifying the optimal interval for concurrent training at the molecular level, and developing new sport-specific resistance training equipment. For cyclists and runners in Taiwan, the most practical recommendation is: build a solid maximal strength foundation in the off-season, maintain it with the minimum effective dose during the season, and monitor progress with objective metrics throughout—so that strength truly translates into speed and endurance on race day. Science has already pointed the way; what remains is putting it into practice in every squat and every stand.

相關影片
訂閱CT的頻道

訂閱 CT Yeh,看武嶺實測與路線攻略

北進武嶺、西進武嶺、經典百K,每條路線都親自騎過,配速、爬升、補給點全部實拍實測。

467 部影片 · 累計 838 萬次觀看