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File:BAC driving risk.svg

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Summary

Description
English: Curve describing the increased relative risk for a traffic crash with elevated blood alcohol content. Based on data from Figure 1 / Table 3 of Blomberg, Richard D.; Peck, Raymond C.; Moskowitz, Herbert; Burns, Marcelline; Fiorentino, Dary (August 2009). "The Long Beach/Fort Lauderdale relative risk study". Journal of Safety Research. 40 (4): 285–292. doi:10.1016/j.jsr.2009.07.002. PMID 19778652.
Date
Source Own work
Author Mathnerd314159
SVG development
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This plot was created with Matplotlib.
Source code
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Python code

import numpy as np
import matplotlib.pyplot as plt
from numpy.polynomial.polynomial import Polynomial

points = [
  (0,1),
  (0.01,1.03),
  (0.02,1.03),
  (0.03,1.06),
  (0.04,1.18),
  (0.05,1.38),
  (0.06,1.63),
  (0.07,2.09),
  (0.08,2.69),
  (0.09,3.54),
  (0.1,4.79),
  (0.11,6.41),
  (0.12,8.9),
  (0.13,12.06),
  (0.14,16.36),
  (0.15,22.1),
  (0.16,29.48),
  (0.17,39.05),
  (0.18,50.99),
  (0.19,65.32),
  (0.2,81.79),
  (0.21,99.78),
  (0.22,117.72),
  (0.23,134.26),
  (0.24,146.9),
  (0.25,153.68)]
x = np.array([point[0] for point in points])
y = np.array([point[1] for point in points])

spl = Polynomial.fit(x, y, 16) # highest order without ringing
roots_arr = [0,0.10]
for n in range(1,5):
  dspl = spl.deriv(n)
  roots = dspl.roots()
  for r in roots:
    if isinstance(r,complex):
      if abs(r.imag) > 0.001:
        continue
      r = r.real
    if not (0.11 < r < 0.25):
      continue
    r = round(r, 2)
    if r == 0.24:
      continue
    roots_arr.append(r)
roots = np.array(roots_arr)

x_fine = np.linspace(0, 0.25, 1000)
y_fine = spl(x_fine)

# check fit
if False:
  y_spl_err = spl(x)-y
  plt.plot(x,y_spl_err,'.')
  plt.show()
  plt.plot(x_fine,y_fine,'-',x,y,'.')
  plt.show()

roots_y = spl(roots)
plt.plot(x_fine,y_fine,'-',roots,roots_y,'o')
plt.grid(False)
plt.axis('off')
for i in range(len(roots)):
    plt.annotate(f'{roots_y[i]:.0f}x @ {roots[i]:.2f}%', (roots[i], roots_y[i]), textcoords="offset points", xytext=(0,10), ha='right')
plt.savefig('BAC_driving_risk.svg')
plt.show()

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Captions

Curve describing the increased relative risk for a traffic crash with elevated blood alcohol content.

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depicts

19 July 2024

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Date/TimeThumbnailDimensionsUserComment
current03:58, 20 July 2024Thumbnail for version as of 03:58, 20 July 2024614 × 461 (15 KB)Mathnerd314159Uploaded own work with UploadWizard

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