\n",
"\n",
"# Bicycling Statistics\n",
"\n",
"During a pandemic, bicycling is a great way to (1) spend some time, (2) get some exercise, (3) stay far enough away from others to be safe, and (4) generate some data to analyze. This notebook does the analysis on three types of data:\n",
"- **rides**: a random sampling of my 20+ mile rides, and all my 60+ mile rides (from [Strava](https://www.strava.com/athletes/575579)). \n",
"- **segments**: short sections of a mile or so long, chosen to have a variety of steepness (from [Strava](https://www.strava.com/athletes/575579)). \n",
"- **places**: percentages of the roads that I have ridden in each town, city, county, etc. (from [Wandrer.earth](https://wandrer.earth/athletes/3534/)). \n",
"\n",
"This notebook is mostly for my own benefit, but if you're a cyclist you're welcome to adapt it to your data, and if you're a data scientist, you might find it an interesting example of exploratory data analysis."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Wandering Places\n",
"\n",
"The website [**Wandrer.earth**](https://wandrer.earth) tracks the distinct roads a user has biked on. It provides a fun incentive to get out and explore new roads. The site is gamified in a way that the biggest rewards are for first reaching 25% of the road-miles in each place (city or neighborhood), and then 90%. (You get no credit for repeating a road you've already been on.)\n",
"\n",
"For the most part, your scores can only go up, as you cover more roads over time. But the [underlying map](https://www.openstreetmap.org/) is periodically updated, and sometimes a big city (like San Francisco) is split into neighborhoods (like Sunset, Mission, and Presidio); sometimes unincorporated areas (like Sequoia Tract) are introduced; sometimes boundaries change (e.g. Emerald Lake Hills doubled in road miles in the 2020-11 update, causing my percentage to drop). \n",
"\n",
"The wandrer.earth site does a great job of showing my current status in all the places I've been, but I wanted to track my progress month-by-month, so I created the charts below.\n",
"\n",
"The legend `\"95% ( 53/56 mi) 2.3 to 99% Atherton\"` means that I have ridden 53 of the 56 miles of roads (or 95%) in Atherton, and I need another 2.3 miles to reach the bonus scoring milestone of 99%. The companion notebook [**BikeCode.ipynb**](BikeCode.ipynb) has the implementation details."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"%run BikeCode.ipynb\n",
"wandering(places)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"# Eddington Number\n",
"\n",
"The physicist [Sir Arthur Eddington](https://en.wikipedia.org/wiki/Arthur_Eddington), a contemporary of Einstein, was a pre-Strava bicyclist who favored this metric:\n",
"\n",
"> *Your [**Eddington Number**](https://www.triathlete.com/2011/04/training/measuring-bike-miles-eddington-number_301789) is the largest integer **e** such that you have cycled at least** e** miles on at least** e** days.*\n",
"\n",
"I'll look at the **miles** column across all my **rides** to compute my Eddington number:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"64"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Ed_number(rides['miles'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**My Eddington Number is 64**: I've ridden at least 64 miles on at least 64 days (but not 65 miles on 65 days). My number is above [the mean for Strava](https://swinny.net/Cycling/-4687-Calculate-your-Eddington-Number), but not nearly as good as Eddington himself: his number was **84** when he died at age 62, and his roads, bicycles, and navigation aids were not nearly as nice as mine, so bravo zulu to him. I don't think I will reach 84, but how many more rides do I need to reach 65? or 70? I'll call the difference the Eddington gap:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{65: 2, 66: 7, 67: 16, 68: 20, 69: 32, 70: 39}"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"{mi: Ed_gap(rides['miles'], mi) \n",
" for mi in range(65, 71)}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I need just 2 more rides to reach 65, and 39 more to reach 70.\n",
"\n",
"Eddington was English, so he used miles, but we could also consider a **metric Eddington number**:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"90"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Ed_number(rides['kms'])"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{90: 0, 92: 5, 94: 13, 96: 18, 98: 26, 100: 31}"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"{km: Ed_gap(rides['kms'], km) \n",
" for km in range(90, 101, 2)}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"My **metric Eddington Number is 90**, and my gap to 100 is 31 more rides.\n",
"\n",
"Here are some properties of Eddington numbers:\n",
"- Your Eddington number is monotonic: it can never decrease over time. \n",
"- To improve from an Eddington number of *n* to *n* + 1 can take as few as 1 ride, or as many as *n* + 1 rides.\n",
" + *Suppose I have done 49 rides, each of exactly 50 miles. My Eddington number is 49.*\n",
" + *With one 50 mile ride, my Eddington number becomes 50.*\n",
" + *I would then need 51 new 51+ mile rides to reach 51.*\n",
"- Your metric Eddington number will always be greater than or equal to your imperial Eddington number.\n",
"- Your metric Eddington number will never be more than 1.609344 times your imperial Eddington number.\n",
"- Of two riders, it is possible that one has a higher metric number and the other a higher imperial number.\n",
"\n",
"Here is my Eddington number progress over the years, in miles and kms:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"Ed_progress()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*Note:* the definition of Eddington Number seems precise, but what exactly does ***day*** mean? The New Oxford dictionary has three senses:\n",
"\n",
"1. a period of 24 hours; \n",
"2. a unit of time, reckoned from one midnight to the next;\n",
"3. the part of a day when it is light. \n",
"\n",
"I originally assumed sense 2, but I wanted to accept sense 1 for [bikepacking](https://bikepacking.com/) trips where I rode to a camping site in the afternoon, pitched a tent for the night, and rode back home the next morning; what bikepackers call a [sub-24-hour overnight](https://oneofsevenproject.com/s24o-bikepacking-guide/) (S24O). And then COVID struck, the camping sites closed, so why not allow an S24O ride where I sleep in my own home? I realize Eddington had a lot more hardships than we have (World War I, the 1918 pandemic, and World War II), but I hope he would approve of this modest accomodation on my part."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Hill-Index: Speed versus Grade on Short Segments\n",
"\n",
"The Eddington number reminds me of the [**h-index**](https://en.wikipedia.org/wiki/H-index) metric for scientific publications. I invented another metric:\n",
"\n",
"> *Your **hill-index** is the maximum integer **h** where you can regularly climb an **h** percent grade at **h** miles per hour.*\n",
"\n",
"I'll plot grade versus speed for segments (not rides) with two best-fit curves: a blue quadratic and an orange cubic. I'll also superimpose a red dotted line where grade = speed."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
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]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"show('pct', 'mph', segments, 'Miles per hour versus segment grade in percent')\n",
"plt.plot((2, 6, 7), (2, 6, 7), 'ro:');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Both best-fit curves are above the red circle at 6% and below the red circle for 7%, so **my hill-index is 6**. We also see that I can cruise at 15 to 17 mph on a 1% grade, but only about 8 mph at 5% grade, and around 5 mph on 8% grades."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" # Speed versus Grade on Long Rides\n",
"\n",
"The plot above tell me how fast I should expect to climb a particular hill, but what about average time on longer rides? Here's a plot of my speed versus steepness (measured in feet climbed per mile rather than in percent)."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"show('fpm', 'mph', rides, 'Speed (miles per hour) versus Ride Grade (feet per mile)')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So, I average a little under 14 mph when the overall route is fairly flat, with a lot of variability from 12 to 16 mph, depending more on my level of effort (and maybe the wind) than on the grade of the road. But when the grade is steeper than 50 ft/mile, my speed falls off quickly: down to 12mph at 80 ft/mile; 11 mph at 100 ft/mile; and around 10 mph at 120 ft/mile. Note that 120 ft/mile is only 2.3% grade, but if you figure a typical route is 1/3 up, 1/3 down, and 1/3 flat, then that's 6.9% average grade on the up part.\n",
"\n",
"I can use this to predict the time of a ride. For example, if I'm in La Honda and want to get to Pescadero, which is faster: the [coast route](https://www.google.com/maps/dir/La+Honda,+California/Pescadero,+California/@37.2905834,-122.3896683,12z/data=!4m19!4m18!1m10!1m1!1s0x808faed4dc6265bd:0x51a109d3306a7219!2m2!1d-122.274227!2d37.3190255!3m4!1m2!1d-122.4039496!2d37.3116594!3s0x808f062b7d7585e7:0x942480c22f110b74!1m5!1m1!1s0x808f00b4b613c4c1:0x43c609077878b77!2m2!1d-122.3830152!2d37.2551636!3e1) (15.7 miles, 361 ft climb), or the [creek route](https://www.google.com/maps/dir/La+Honda,+California/Pescadero,+California/@37.2905834,-122.3896683,12z/data=!4m19!4m18!1m10!1m1!1s0x808faed4dc6265bd:0x51a109d3306a7219!2m2!1d-122.274227!2d37.3190255!3m4!1m2!1d-122.3658887!2d37.2538867!3s0x808f00acf265bd43:0xb7e2a0c9ee355c3a!1m5!1m1!1s0x808f00b4b613c4c1:0x43c609077878b77!2m2!1d-122.3830152!2d37.2551636!3e1) (13.5 miles, 853 ft climb)? We can estimate:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'Coast: 70 min, Creek: 64 min.'"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"f'Coast: {estimate(15.7, 361):.0f} min, Creek: {estimate(13.5, 853):.0f} min.'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This predicts the shorter but steeper creek route would be about 6 minutes faster (whereas Google Maps predicts the creek route would be 80 minutes, 2 more than the coast route—I guess Google lacks confidence in my climbing ability). This is all good to know, but other factors (like the scenery and whether I want to stop at the San Gregorio store) are probably more important in making the choice."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# VAM\n",
"\n",
"Climbing speed measured by vertical ascent per hour is known as [VAM](https://en.wikipedia.org/wiki/VAM_%28bicycling%29), which stands for *velocità ascensionale media* (for native Campagnolo speakers) or *mean ascent velocity* (for SRAM) or 平均上昇率 (for Shimano). The theory is that for steepish climbs, most of your power is going into lifting against gravity, so your VAM should be about constant no matter what the grade in that range. (For flatish rides power is spent on wind and rolling resistance, and for the steepest of rides, in my experience, power goes largely to cursing *sotto voce*, as they say in Italian.) \n",
"\n",
"Here's a plot of my VAM versus grade over short segments:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"show('pct', 'vam', segments, 'VAM (vertical feet per hour) versus segment grade in percent')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Champion cyclists sprint at over 6000 ft/hour and can sustain [over 4000 ft/hour for 7 hours](https://www.strava.com/activities/4996833865). My VAM numbers range mostly from 1500 to 3000 ft/hour, biut I can sustain the higher numbers for only a couple of minutes:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/html": [
"