\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 Distance and Other Stats\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": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
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\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",
"
2021
\n",
"
490.53
\n",
"
6064
\n",
"
196634
\n",
"
12.36
\n",
"
122.0
\n",
"
32.0
\n",
"
0.61
\n",
"
9757.78
\n",
"
\n",
"
\n",
"
\n",
"
2020
\n",
"
438.88
\n",
"
5342
\n",
"
94777
\n",
"
12.17
\n",
"
66.0
\n",
"
18.0
\n",
"
0.34
\n",
"
8595.12
\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",
"
9679.90
\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",
"
11836.45
\n",
"
\n",
"
\n",
"
\n",
"
2016
\n",
"
486.38
\n",
"
6339
\n",
"
201453
\n",
"
13.03
\n",
"
126.0
\n",
"
32.0
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"
0.60
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"
10199.77
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"
\n",
"
\n",
"
\n",
"
2015
\n",
"
419.95
\n",
"
5453
\n",
"
209859
\n",
"
12.98
\n",
"
152.0
\n",
"
38.0
\n",
"
0.73
\n",
"
8773.23
\n",
"
\n",
"
\n",
"
\n",
"
2014
\n",
"
191.03
\n",
"
2469
\n",
"
118481
\n",
"
12.93
\n",
"
189.0
\n",
"
48.0
\n",
"
0.91
\n",
"
3972.78
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" year hours miles feet mph vam fpm pct kms\n",
" 2021 490.53 6064 196634 12.36 122.0 32.0 0.61 9757.78\n",
" 2020 438.88 5342 94777 12.17 66.0 18.0 0.34 8595.12\n",
" 2019 476.32 6016 149797 12.63 96.0 25.0 0.47 9679.90\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 11836.45\n",
" 2016 486.38 6339 201453 13.03 126.0 32.0 0.60 10199.77\n",
" 2015 419.95 5453 209859 12.98 152.0 38.0 0.73 8773.23\n",
" 2014 191.03 2469 118481 12.93 189.0 48.0 0.91 3972.78"
]
},
"execution_count": 1,
"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": 2,
"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": 3,
"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": [
"# Wandering Across Two Counties\n",
"\n",
"I live in Santa Clara County, but I'm only 2 blocks from San Mateo County, so I ride in both. And while Jason Molenda is a whopping 1900 miles ahead of me in SMC and Megan Gardner is 1200 miles ahead of me in SCC, it turns out that I occupy a small section of the [Pareto front](https://en.wikipedia.org/wiki/Pareto_front) for the two counties together: I have ridden 50% of SMC and 30% of SCC, and nobody on wandrer.earth has simultaneously done more in both counties. Here are the leaders and a plot of the Pareto front: the dashed line where dots indicate cyclist's initials; I'm the \"PN\" in the middle."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
Name
\n",
"
SMC %
\n",
"
SCC %
\n",
"
SMC miles
\n",
"
SCC miles
\n",
"
Total miles
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0
\n",
"
Barry Mann
\n",
"
73.37
\n",
"
29.35
\n",
"
2165
\n",
"
2220
\n",
"
4385
\n",
"
\n",
"
\n",
"
1
\n",
"
Jason Molenda
\n",
"
7.13
\n",
"
54.65
\n",
"
210
\n",
"
4134
\n",
"
4344
\n",
"
\n",
"
\n",
"
2
\n",
"
Peter Norvig
\n",
"
50.06
\n",
"
30.31
\n",
"
1477
\n",
"
2293
\n",
"
3770
\n",
"
\n",
"
\n",
"
3
\n",
"
Brian Feinberg
\n",
"
29.72
\n",
"
35.59
\n",
"
877
\n",
"
2692
\n",
"
3569
\n",
"
\n",
"
\n",
"
4
\n",
"
Jim Brooks
\n",
"
4.23
\n",
"
43.39
\n",
"
125
\n",
"
3282
\n",
"
3407
\n",
"
\n",
"
\n",
"
5
\n",
"
Megan Gardner
\n",
"
89.43
\n",
"
8.69
\n",
"
2639
\n",
"
657
\n",
"
3296
\n",
"
\n",
"
\n",
"
6
\n",
"
Matthew Ring
\n",
"
72.67
\n",
"
1.48
\n",
"
2144
\n",
"
112
\n",
"
2256
\n",
"
\n",
"
\n",
"
7
\n",
"
Elliot Huff
\n",
"
50.43
\n",
"
8.14
\n",
"
1488
\n",
"
616
\n",
"
2104
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Name SMC % SCC % SMC miles SCC miles Total miles\n",
"0 Barry Mann 73.37 29.35 2165 2220 4385\n",
"1 Jason Molenda 7.13 54.65 210 4134 4344\n",
"2 Peter Norvig 50.06 30.31 1477 2293 3770\n",
"3 Brian Feinberg 29.72 35.59 877 2692 3569\n",
"4 Jim Brooks 4.23 43.39 125 3282 3407\n",
"5 Megan Gardner 89.43 8.69 2639 657 3296\n",
"6 Matthew Ring 72.67 1.48 2144 112 2256\n",
"7 Elliot Huff 50.43 8.14 1488 616 2104"
]
},
"execution_count": 4,
"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": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
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"\n",
"
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" \n",
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year
\n",
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Ed_km
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Ed_mi
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" \n",
" \n",
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0
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2022
\n",
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96
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66
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1
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2021
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93
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65
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2
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2020
\n",
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87
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62
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"
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3
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2019
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80
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56
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"
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4
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2018
\n",
"
77
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"
54
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"
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"
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5
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"
2017
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73
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51
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"
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6
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2016
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67
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47
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7
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2015
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61
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42
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8
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2014
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46
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35
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"
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9
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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",
"0 2022 96 66\n",
"1 2021 93 65\n",
"2 2020 87 62\n",
"3 2019 80 56\n",
"4 2018 77 54\n",
"5 2017 73 51\n",
"6 2016 67 47\n",
"7 2015 61 42\n",
"8 2014 46 35\n",
"9 2013 31 24"
]
},
"execution_count": 5,
"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": 6,
"metadata": {},
"outputs": [
{
"data": {
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" \n",
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0
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96
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66
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-5
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98
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9
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68
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9
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3
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99
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12
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69
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22
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4
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100
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14
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70
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30
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5
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101
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16
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71
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37
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6
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102
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19
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72
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40
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7
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103
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22
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73
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44
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8
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104
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26
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74
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46
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9
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105
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31
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75
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53
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"text/plain": [
" kms kms gap miles miles gap\n",
"0 96 -1 66 -5\n",
"1 97 5 67 4\n",
"2 98 9 68 9\n",
"3 99 12 69 22\n",
"4 100 14 70 30\n",
"5 101 16 71 37\n",
"6 102 19 72 40\n",
"7 103 22 73 44\n",
"8 104 26 74 46\n",
"9 105 31 75 53"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Ed_gaps(rides)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In kilometers, I need 5 rides to improve from 96 to 97, and 14 rides to improve to 100.\n",
"\n",
"In miles, I need 4 rides to improve from 66 to 67, and 30 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": 7,
"metadata": {},
"outputs": [
{
"data": {
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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": 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 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": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'Coast: 70.0 min, Creek: 64.0 min.'"
]
},
"execution_count": 9,
"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": 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 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": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"