\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 `\"94% ( 52/ 56 mi) 2.7 to 99% Atherton\"` means that I have ridden 52 of the 56 miles of roads (or 94%) in Atherton, and I need another 2.7 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": [
"63"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Ed_number(rides['miles'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**My Eddington Number is 63**: I've ridden at least 63 miles on at least 63 days (but not 64 miles on 64 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": [
"{64: 3, 65: 7, 66: 11, 67: 19, 68: 23, 69: 34, 70: 40}"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"{mi: Ed_gap(rides['miles'], mi) \n",
" for mi in range(64, 71)}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I need just 7 more rides to reach 65, but 40 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": [
"87"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Ed_number(rides['kms'])"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{88: 1, 90: 5, 92: 10, 94: 18, 96: 23, 98: 31, 100: 36}"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"{km: Ed_gap(rides['kms'], km) \n",
" for km in range(88, 101, 2)}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"My **metric Eddington Number is 87**, and my gap to 90 is 5 more rides, and to 100 is 36 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": {
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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": [
"I see a wide spread of VAM numbers; at 7% to 8% I range from 1500 to 3000 ft/hour. Champion cyclists sprint at over 6000 ft/hour, and can sustain [5400 ft/hour for 7 hours](https://www.strava.com/activities/4996833865]). As we can see in the segments listed below, I can sustain 3000 ft/hour for only a few minutes:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/html": [
"