\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 outside and be safe, and (4) track how you are progressing against your goals. My data comes from [Strava](https://www.strava.com/athletes/575579). At various times I've had various goals:\n",
"- **Distance**: I do about 6,000 miles a year.\n",
"- **Elevation**: In 2022, for the first time I set an elevation goal: **space** (100 km of climbing).\n",
"- **Wandering**: In 2020, I started using [Wandrer.earth](https://wandrer.earth/athletes/3534/) to track what \n",
"new roads I have ridden.\n",
"- **Eddington**: I've done 66 miles or more on 66 different days. So 66 is my Eddington Number.\n",
"- **Speed**: I'm not trying to go fast, but I am interested in understanding how my speed varies with the steepness of the hill.\n",
"\n",
"This notebook is mostly for my own benefit, but if you're a cyclist you're welcome to adapt it to your own data, and if you're a data scientist, you might find it an interesting example of exploratory data analysis. The companion notebook [**BikeCode.ipynb**](BikeCode.ipynb) has the implementation details."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Yearly Totals\n",
"\n",
"Here are my overall stats for each year since I started keeping track in mid-2014. I have done 6,000 miles per year since 2016, except for 2020 when an injury kept me sidelined for two months. (*Note*: The column **vam** is vertical meters ascended per hour, **fpm** is feet climbed per mile, and **pct** is the average grade of the elevation, in percent.)\n"
]
},
{
"cell_type": "code",
"execution_count": 447,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
year
\n",
"
hours
\n",
"
miles
\n",
"
feet
\n",
"
mph
\n",
"
vam
\n",
"
fpm
\n",
"
pct
\n",
"
kms
\n",
"
\n",
" \n",
" \n",
"
\n",
"
\n",
"
2022
\n",
"
398.80
\n",
"
4382
\n",
"
292575
\n",
"
10.99
\n",
"
224.0
\n",
"
67.0
\n",
"
1.26
\n",
"
7050.64
\n",
"
\n",
"
\n",
"
\n",
"
2021
\n",
"
490.53
\n",
"
6064
\n",
"
196634
\n",
"
12.36
\n",
"
122.0
\n",
"
32.0
\n",
"
0.61
\n",
"
9756.98
\n",
"
\n",
"
\n",
"
\n",
"
2020
\n",
"
438.88
\n",
"
5341
\n",
"
94777
\n",
"
12.17
\n",
"
66.0
\n",
"
18.0
\n",
"
0.34
\n",
"
8593.67
\n",
"
\n",
"
\n",
"
\n",
"
2019
\n",
"
476.32
\n",
"
6016
\n",
"
149797
\n",
"
12.63
\n",
"
96.0
\n",
"
25.0
\n",
"
0.47
\n",
"
9679.74
\n",
"
\n",
"
\n",
"
\n",
"
2018
\n",
"
475.93
\n",
"
6101
\n",
"
158642
\n",
"
12.82
\n",
"
102.0
\n",
"
26.0
\n",
"
0.49
\n",
"
9816.51
\n",
"
\n",
"
\n",
"
\n",
"
2017
\n",
"
567.33
\n",
"
7356
\n",
"
202096
\n",
"
12.97
\n",
"
109.0
\n",
"
27.0
\n",
"
0.52
\n",
"
11835.80
\n",
"
\n",
"
\n",
"
\n",
"
2016
\n",
"
486.38
\n",
"
6339
\n",
"
201453
\n",
"
13.03
\n",
"
126.0
\n",
"
32.0
\n",
"
0.60
\n",
"
10199.45
\n",
"
\n",
"
\n",
"
\n",
"
2015
\n",
"
419.95
\n",
"
5452
\n",
"
209859
\n",
"
12.98
\n",
"
152.0
\n",
"
38.0
\n",
"
0.73
\n",
"
8772.27
\n",
"
\n",
"
\n",
"
\n",
"
2014
\n",
"
191.03
\n",
"
2469
\n",
"
118481
\n",
"
12.92
\n",
"
189.0
\n",
"
48.0
\n",
"
0.91
\n",
"
3972.62
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" year hours miles feet mph vam fpm pct kms\n",
" 2022 398.80 4382 292575 10.99 224.0 67.0 1.26 7050.64\n",
" 2021 490.53 6064 196634 12.36 122.0 32.0 0.61 9756.98\n",
" 2020 438.88 5341 94777 12.17 66.0 18.0 0.34 8593.67\n",
" 2019 476.32 6016 149797 12.63 96.0 25.0 0.47 9679.74\n",
" 2018 475.93 6101 158642 12.82 102.0 26.0 0.49 9816.51\n",
" 2017 567.33 7356 202096 12.97 109.0 27.0 0.52 11835.80\n",
" 2016 486.38 6339 201453 13.03 126.0 32.0 0.60 10199.45\n",
" 2015 419.95 5452 209859 12.98 152.0 38.0 0.73 8772.27\n",
" 2014 191.03 2469 118481 12.92 189.0 48.0 0.91 3972.62"
]
},
"execution_count": 447,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%run BikeCode.ipynb\n",
"\n",
"yearly"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Elevation\n",
"\n",
"My friend [A. J. Jacobs](https://ajjacobs.com/) has an incling treadmill, and for 2022 set the goal of **walking to space**: climbing a total elevation equal to the distance from the Earth's surface to the top of the atmoshere. [A group](https://www.facebook.com/groups/260966686136038) of about 40 of us joined the quest. The boundary of \"space\" is vague, but could reassonably be reckoned as any of the following:\n",
"\n",
"|Units|In Feet|Description|\n",
"|-- --|--|--|\n",
"|100 km|328,084|The [Kármán line](https://en.wikipedia.org/wiki/K%C3%A1rm%C3%A1n_line)|\n",
"|300 kilofeet|300,000|A nice round number|\n",
"|10 Everests|290,320|A classic benchmark|\n",
"|50 miles|264,000|[NASA's edge of space](https://science.nasa.gov/edge-space)|\n",
"\n",
"\n",
"Here's how I'm progressing towards space (I took some time off in June, and made up for it in July):"
]
},
{
"cell_type": "code",
"execution_count": 448,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"climbing()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Wandering \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 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 roads are added or removed from a city's map, so your mileage may vary. \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",
"Each line in the legend gives the percentage of roads ridden (miles ridden / total miles), miles to go to the next percentage reward, and the name of the town or area. "
]
},
{
"cell_type": "code",
"execution_count": 449,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"wandering(places)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# More Kinds of Wandering \n",
"\n",
"As part of my wandering, in April 2022 I was able to get to 25% of every city that rings the San Francisco Bay and is below San Francisco or Oakland (see map [with](ring2.jpeg) or [without](ring1.jpeg) roads traveled; as soon as you get 25% of a city, it lights up with a color).\n",
"\n",
"The OpenStreetMap world is divided into **tiles** of approximately 1 mile square. [Tile hunting](https://www.statshunters.com/heatmap/tiles) records how many of these tiles you have passed through on. It is gamified to track (1) the total number of tiles visited (all the colored squares on [my map](tilehunter.jpg)), (2) the largest square of visited tiles (the blue square on my map), and (3) the largest cluster of contiguous tiles, each of which is bordered on all four sides by a visited tile (green plus blue on my map). I like the idea of tile hunting, in that I prefer to visit a lot of places (whereas others want to ride every road in fewer places). But since I live on a penninsula, it is not easy for me to form a large square. Still, I'll start tracking my tiles; here's the first entry:"
]
},
{
"cell_type": "code",
"execution_count": 450,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
date
\n",
"
tiles
\n",
"
square
\n",
"
cluster
\n",
"
\n",
" \n",
" \n",
"
\n",
"
\n",
"
Sep 2022
\n",
"
2481
\n",
"
11x11
\n",
"
295
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" date tiles square cluster\n",
" Sep 2022 2481 11x11 295"
]
},
"execution_count": 450,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tiles"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I live in Santa Clara County, but I'm only 2 blocks from San Mateo County, so I ride in both. Wandrer.earth says that Jason Molenda is a whopping 1800 miles ahead of me in SMC and Megan Gardner is 1100 miles ahead of me in SCC, so I'm unlikely to catch up to either of them. However, I do occupy a small section of the [Pareto front](https://en.wikipedia.org/wiki/Pareto_front) for the two counties together: no other rider on wandrer.earth has done more than me in *both* counties. Here are the leaders where the dotted line indicates the five riders on the Parewto front, and small circles indicate the three other ridsers who are close."
]
},
{
"cell_type": "code",
"execution_count": 451,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
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\n",
" \n",
"
\n",
"
\n",
"
Name
\n",
"
Initials
\n",
"
SMC %
\n",
"
SCC %
\n",
"
SMC miles
\n",
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SCC miles
\n",
"
Total miles
\n",
"
Total %
\n",
"
\n",
" \n",
" \n",
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\n",
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Barry Mann
\n",
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BM
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75.34
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29.32
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2223
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2218
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4441
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104.66
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\n",
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Megan Gardner
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MG
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92.51
\n",
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8.69
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"
2730
\n",
"
657
\n",
"
3387
\n",
"
101.20
\n",
"
\n",
"
\n",
"
\n",
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Peter Norvig
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PN
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"
55.26
\n",
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30.31
\n",
"
1631
\n",
"
2293
\n",
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3924
\n",
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85.57
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\n",
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\n",
"
\n",
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Matthew Ring
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MR
\n",
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75.53
\n",
"
1.48
\n",
"
2229
\n",
"
112
\n",
"
2341
\n",
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77.01
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"
\n",
"
\n",
"
\n",
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Brian Feinberg
\n",
"
BF
\n",
"
29.72
\n",
"
35.93
\n",
"
877
\n",
"
2718
\n",
"
3595
\n",
"
65.65
\n",
"
\n",
"
\n",
"
\n",
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Jason Molenda
\n",
"
JM
\n",
"
7.13
\n",
"
54.59
\n",
"
210
\n",
"
4129
\n",
"
4339
\n",
"
61.72
\n",
"
\n",
"
\n",
"
\n",
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Elliot Huff
\n",
"
EF
\n",
"
51.78
\n",
"
8.14
\n",
"
1528
\n",
"
616
\n",
"
2144
\n",
"
59.92
\n",
"
\n",
"
\n",
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\n",
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Jim Brooks
\n",
"
JB
\n",
"
4.23
\n",
"
43.53
\n",
"
125
\n",
"
3293
\n",
"
3418
\n",
"
47.76
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Name Initials SMC % SCC % SMC miles SCC miles Total miles \\\n",
" Barry Mann BM 75.34 29.32 2223 2218 4441 \n",
" Megan Gardner MG 92.51 8.69 2730 657 3387 \n",
" Peter Norvig PN 55.26 30.31 1631 2293 3924 \n",
" Matthew Ring MR 75.53 1.48 2229 112 2341 \n",
" Brian Feinberg BF 29.72 35.93 877 2718 3595 \n",
" Jason Molenda JM 7.13 54.59 210 4129 4339 \n",
" Elliot Huff EF 51.78 8.14 1528 616 2144 \n",
" Jim Brooks JB 4.23 43.53 125 3293 3418 \n",
"\n",
" Total % \n",
" 104.66 \n",
" 101.20 \n",
" 85.57 \n",
" 77.01 \n",
" 65.65 \n",
" 61.72 \n",
" 59.92 \n",
" 47.76 "
]
},
"execution_count": 451,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pareto_front(leaders)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 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",
"My Eddington number progress over the years, in both kilometers and miles:"
]
},
{
"cell_type": "code",
"execution_count": 452,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
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" \n",
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year
\n",
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Ed_km
\n",
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Ed_mi
\n",
"
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" \n",
" \n",
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2022
\n",
"
96
\n",
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66
\n",
"
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2021
\n",
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93
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65
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2020
\n",
"
87
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62
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"
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2019
\n",
"
80
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56
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"
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"
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2018
\n",
"
77
\n",
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54
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"
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"
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"
\n",
"
2017
\n",
"
73
\n",
"
51
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"
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"
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2016
\n",
"
67
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47
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"
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2015
\n",
"
61
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42
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"
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"
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"
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2014
\n",
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46
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35
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2013
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31
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24
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" \n",
"
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"
"
],
"text/plain": [
" year Ed_km Ed_mi\n",
" 2022 96 66\n",
" 2021 93 65\n",
" 2020 87 62\n",
" 2019 80 56\n",
" 2018 77 54\n",
" 2017 73 51\n",
" 2016 67 47\n",
" 2015 61 42\n",
" 2014 46 35\n",
" 2013 31 24"
]
},
"execution_count": 452,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Ed_progress(rides)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"My current Eddington Number is **96 in kilometers and 66 in miles**: I've ridden at least 66 miles on at least 66 days (but not 67 miles on 67 days). My number is above [the median for Strava](https://swinny.net/Cycling/-4687-Calculate-your-Eddington-Number), but not nearly as good as Eddington himself: his number was **84 in miles** 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. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"How many more rides will I need to reach higher Eddington numbers? I call that the *Eddington Gap*:"
]
},
{
"cell_type": "code",
"execution_count": 453,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
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" \n",
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kms
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kms gap
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96
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-2
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66
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-6
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97
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4
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67
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3
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98
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8
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68
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8
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99
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11
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69
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21
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100
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13
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70
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29
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101
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15
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71
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36
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102
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18
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72
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39
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103
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21
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73
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43
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104
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25
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74
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45
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105
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30
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75
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52
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" \n",
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],
"text/plain": [
" kms kms gap miles miles gap\n",
" 96 -2 66 -6\n",
" 97 4 67 3\n",
" 98 8 68 8\n",
" 99 11 69 21\n",
" 100 13 70 29\n",
" 101 15 71 36\n",
" 102 18 72 39\n",
" 103 21 73 43\n",
" 104 25 74 45\n",
" 105 30 75 52"
]
},
"execution_count": 453,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Ed_gaps(rides)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In kilometers, I need 4 rides to improve from 96 to 97, and 13 rides to improve to 100.\n",
"\n",
"In miles, I need 3 rides to improve from 66 to 67, and 29 rides to improve to 70.\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 you have done 9 rides, each of exactly 10 miles. Your Eddington number is 9.*\n",
" + *You would need 1 ride of 10 miles to improve from a number of 9 to 10.*\n",
" + *You would then need 11 rides of 11 miles to improve from a number 10 to 11.*\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."
]
},
{
"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 what [bikepackers](https://bikepacking.com/) call a [sub-24-hour overnight](https://oneofsevenproject.com/s24o-bikepacking-guide/) (S24O): a ride to a camping site in the afternoon, pitching a tent for the night, and returning back home the next morning. And then COVID struck, the camping sites closed, so why not allow an S24O 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, for example), 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 Climbs\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": 454,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"show('pct', 'mph', segments[segments.pct > 2], \n",
" '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 14 mph on a 2% grade, but only about 7 mph at 6% grade, and around 5.5 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": 455,
"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 way 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": 456,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'Coast: 70 min, Creek: 64 min.'"
]
},
"execution_count": 456,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"f'Coast: {estimate(15.7, 361)} min, Creek: {estimate(13.5, 853)} 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 in meters 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 *vertical ascent in meters* (for SRAM) or 平均上昇率 (for Shimano), and sometimes by Vm/h. The theory is that for fairly steep climbs, most of your power is going into lifting against gravity, so your VAM should be about constant no matter what the grade. (For flatish climbs power is spent on wind and rolling resistance, and for the very steepest of climbs, 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": 457,
"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 meters per hour) versus segment grade in percent')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Champion cyclists can do over 1800 meters/hour over a 10 km climb, and can sustain [1400 meters/hour for 7 hours](https://www.strava.com/activities/4996833865). My VAM numbers range mostly from 400 to 900 meters/hour, but I can sustain the higher numbers for only a couple of minutes:"
]
},
{
"cell_type": "code",
"execution_count": 458,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"