An example for monitoring changes in the parameters of this model is that a long term decrease of intercept could be interpreted as an increase in fitness. If a model for this relationship is calculated for every workout and is monitored over time, it might be possible to see trends in the intercept and slope parameters of this model. Because both A and B can be considered as linear relationships, the relationship between heart rate and power output during aerobic exercise can be considered linear. During aerobic exercise, an increase in power must be covered by an increase in oxygen consumption (causal relationship A), which results in an increase in heart rate (causal relationship B). It is beyond the scope of this blog to explain in detail why this linear relationship exists, but it comes down to the following. Heart rate = intercept + ( power * slope) Up to the threshold the relationship between heart rate and power can be described using a linear model: From a certain point, the rise in heart rate per Watt (the slope) will decreases with respect to power, this inflection point will occur around the threshold of the cyclist but that is outside the scope of this blog. We will call the amount the heart rate rises per extra Watt power output the slope. When increasing power, the heart rate rises in a linear relationship with power ( 1). When there is no power output, heart rate already is at a base level which we will call the intercept.

In the most simplest form, this relationship looks like this: To some extent, heart rate can be estimated from the power output and vice versa. The alternative for monitoring fitness and progress that will be discussed here is to build a model of the relationship between heart rate and power output. A novel way to monitor fitness and progress The goal of these three blogs is to discuss a novel way to monitor fitness and progress without the aforementioned drawbacks. The main drawbacks of these options is that they interfere with your training regime, are not very time efficient and only offer a snapshot of your fitness. a VO2max test, 20 minute test or time trial. In general, this is done by doing tests: e.g. In high performance endurance sports it is imperative that your aerobic fitness is being monitored. An overview and a discussion of the collected results. Part III (results, conclusion and discussion in one).A technical deep-dive into data analysis for this problem The three blogs together will try to follow the structure of a scientific article: This is the first part of what will be a three part blog about modelling heart rate and power output.

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