Charts

Mathematical and visual reference for the W′-Balance Chart, the second-by-second trace of the cyclist's remaining anaerobic work capacity reservoir during a session, computed via the Skiba 2012 differential equation that governs W′ depletion above CP and exponential reconstitution below CP. Documents the underlying integration mathematics, the standard visual layout (W′ remaining as a percentage line dropping during efforts and rising during recovery), the use of the chart for retrospective pacing analysis and prospective race-pacing simulation, and the boundary conditions where the model misleads.

Mathematical and visual reference for the Elevation Profile chart, the cumulative altitude vs distance plot that contextualises a session or race route by its terrain. Documents the source of altitude data (barometric vs GPS-derived), the smoothing-and-spike-rejection algorithms that produce displayed elevation gain, the standard overlays (gradient bands, climb-detection, equivalent-flat-distance), the diagnostic patterns that distinguish well-paced from poorly-paced hilly efforts, and the boundary conditions that affect cross-platform elevation-gain comparability.

Mathematical and visual reference for the Mean-Max Power Curve, the log-x scatter of an athlete's peak sustainable power across all durations from 1 second to multi-hour, typically overlaid on the modeled Power-Duration Curve fit. Documents the rolling-maximum extraction algorithm, the standard durations-of-interest (5 s, 1 min, 5 min, 20 min, 60 min), the time-window aggregation (best-efforts in last 28/90/365 days), the diagnostic value of comparing the dot-cloud to the model fit, and the boundary conditions where the chart misleads.

Mathematical and visual reference for the running Pace-Duration Curve, the running analogue of the cycling Mean-Max Power Curve, plotting the highest sustained mean velocity (or pace) across all durations from 1 second to multi-hour. Documents the velocity-vs-time hyperbolic model with Critical Velocity (CV) as asymptote and D′ (anaerobic distance reserve) as the y-intercept, the standard race-prediction-from-curve workflow, the gradient-corrected GAP overlay convention, and the boundary conditions that distinguish the running PDC from its cycling cousin.

Mathematical and visual reference for the Power-HR Scatter Chart, the per-second scatter of cycling power vs heart rate within a session, used to characterise the linear coupling between external work and internal cardiovascular response and to detect the within-session decoupling that signals fatigue, heat load, or dehydration. Documents the linear-regression fit conventions, the Aerobic Decoupling percentage derived from first-half vs second-half slope comparison, the standard drift patterns, and the boundary conditions where HR-power scatter misleads.

Mathematical and visual reference for the Quadrant Analysis Chart, the cycling-specific scatter plot of pedal-stroke force (Average Effective Pedal Force, AEPF) vs cadence (or pedal velocity, CPV) for every revolution within a session, partitioned into four quadrants relative to the athlete's threshold values. Documents the underlying force-velocity decomposition of cycling power, the diagnostic value of quadrant occupancy patterns for race-discipline matching, the standard four-quadrant interpretation (high-force/high-velocity = neuromuscular sprints, etc.), and the boundary conditions where the chart misleads.

Mathematical and visual reference for the Training Load Chart, the three-line plot of Chronic Load (long-term fitness baseline), Acute Load (recent fatigue), and Load Balance (the difference, indicating freshness). Documents the underlying EWMA construction with the Coggan/Allen continuous-exponential convention, the standard chart-pattern interpretations (productive ramp, overreaching, supercompensation, detraining), the use of the chart for race-date selection and training-block placement, and the boundary conditions where chart-only reasoning breaks down.

Mathematical and visual reference for the workout power-trace chart, the second-by-second power vs time line plot for a single session, typically displayed with optional heart-rate overlay, smoothing toggle, CP/FTP horizontal reference line, detected-interval band shading, and zone background bands. Documents the smoothing-window mathematics, the interval-detection algorithm, the relationship between the visual trace and the integrated session-level metrics (Weighted Power, Load Score, Relative Intensity), and the diagnostic patterns that distinguish a well-executed session from a degraded one.

Mathematical and visual reference for the Zone Distribution Chart, the bar (or donut) plot of cumulative time spent in each training zone over a defined window (single session, 7 days, 28 days, or season). Documents the time-in-zone integration, the dual conventions (power-anchored vs HR-anchored zones; absolute time vs percentage), the relationship between observed distribution and the polarized/pyramidal/threshold training-intensity-distribution frameworks, and the diagnostic patterns that reveal when actual time-in-zone diverges from intended training plan.