File:Wavestats.svg

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Original file ‎(SVG file, nominally 741 × 336 pixels, file size: 19 KB)

Summary

Description
English: Wave Statistics
Source
  • NOAA UCAR COMET Program
  • Regenerated using python matplotlib and illustrator
Author NOAA
SVG development
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Source code
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Python code

import numpy as np
import scipy.stats
import matplotlib.pyplot as plt 

maxx = 8.0
rc('text.latex', preamble='\usepackage{sfmath}')
rc('text', usetex=True)
rc('font', family='sans-serif')

x = np.arange(0,maxx,0.01)
rayl = scipy.stats.rayleigh(loc=0,scale=2)
p = rayl.pdf(x)
x67 = rayl.ppf(2/3.0)
idx0_67 = x < x67
maxidx = np.max(np.where(idx0_67)[0])
idx67_0 = x >= x67
idx67_0[maxidx] = True


fig = plt.figure(figsize=(10,4))
ax = fig.add_axes([0,0,1,1],frameon=True)
ax.set_ylim(0,0.48)

ax.set_xlim(0, maxx)
ax.fill_between(x[idx0_67],np.zeros(p.shape)[idx0_67], p[idx0_67], alpha=0.5, color=(0.2,0.4,0.8))
ax.fill_between(x[idx67_0],np.zeros(p.shape)[idx67_0], p[idx67_0], alpha=0.5, color=(0.2,0.6,0.8))
ax.vlines(x67, 0, rayl.pdf(x67), linewidth=2, alpha=0.5)
ax.vlines(rayl.kwds['scale'], 0, rayl.pdf(rayl.kwds['scale']), linewidth=2, alpha=0.5)
ax.annotate("mode",
            xy=(rayl.kwds['scale'], rayl.pdf(rayl.kwds['scale'])), xycoords='data',
            xytext=(100, 50), textcoords='offset points',
            va="bottom", ha="left",
            arrowprops=dict(arrowstyle="->",
                            connectionstyle="arc3,rad=0.2",
                             mutation_scale=15,
                             linewidth=2,
                             edgecolor='black'
                            ), 
            fontsize='large')

ax.vlines(rayl.median(), 0, rayl.pdf(rayl.median()), linewidth=2, alpha=0.5)
ax.annotate("median",
            xy=(rayl.median(), rayl.pdf(rayl.median())), xycoords='data',
            xytext=(100, 30), textcoords='offset points',
            va="bottom", ha="left",
            arrowprops=dict(arrowstyle="->",
                            connectionstyle="arc3,rad=0.2",
                             mutation_scale=15,
                             linewidth=2,
                             edgecolor='black'
                            ), 
            fontsize='large')
ax.vlines(rayl.mean(), 0, rayl.pdf(rayl.mean()), linewidth=2, alpha=0.5)
ax.annotate(r"mean, $\bar{H}$",
            xy=(rayl.mean(), rayl.pdf(rayl.mean())), xycoords='data',
            xytext=(100, 10), textcoords='offset points',
            va="bottom", ha="left",
            arrowprops=dict(arrowstyle="->",
                            connectionstyle="arc3,rad=0.2",
                             mutation_scale=15,
                             linewidth=2,
                             edgecolor='black'
                            ), 
            fontsize='large')
ax.vlines(rayl.ppf(5/6.0), 0, rayl.pdf(rayl.ppf(5/6.0)), linewidth=2, alpha=0.5)
ax.annotate("significant wave height, $H_{S}$",
            xy=(rayl.ppf(5/6.0), rayl.pdf(rayl.ppf(5/6.0))), xycoords='data',
            xytext=(100, 30), textcoords='offset points',
            va="bottom", ha="left",
            arrowprops=dict(arrowstyle="->",
                            connectionstyle="arc3,rad=0.2",
                             mutation_scale=15,
                             linewidth=2,
                             edgecolor='black'
                            ), 
            fontsize='large')
ax.vlines(rayl.ppf(9/10.0), 0, rayl.pdf(rayl.ppf(9/10.0)), linewidth=2, alpha=0.5)
ax.annotate("90th percentile, $H_{1/10}$",
            xy=(rayl.ppf(9/10.0), rayl.pdf(rayl.ppf(9/10.0))), xycoords='data',
            xytext=(100, 30), textcoords='offset points',
            va="bottom", ha="left",
            arrowprops=dict(arrowstyle="->",
                            connectionstyle="arc3,rad=0.2",
                             mutation_scale=15,
                             linewidth=2,
                             edgecolor='black'
                            ), 
            fontsize='large')

center = (maxx+rayl.ppf(2/3.0))/2.0+1
ax.text(center, 0.04, '1/3 of waves', ha='center', va='center', fontsize='large')
arrow = matplotlib.patches.FancyArrowPatch(
    posA=(rayl.ppf(4/6.0), 0.04), posB=(center, 0.04), arrowstyle='<-',
    mutation_scale=15.0, linewidth=2, edgecolor='black',
    shrinkB=50
    )
ax.add_patch(arrow)
arrow = matplotlib.patches.FancyArrowPatch(
    posA=(center, 0.04), posB=(maxx, 0.04), arrowstyle='->',
    mutation_scale=15.0, linewidth=2, edgecolor='black',
    shrinkA=50
    )
ax.add_patch(arrow)
ax.set_xlabel('wave height', size='x-large')
ax.set_xticks([])
ax.set_ylabel('number of waves',size='x-large')
ax.set_yticks([])
ax.set_title('Statistical wave distribution')

Licensing

Public domain
This image is in the public domain because it contains materials that originally came from the U.S. National Oceanic and Atmospheric Administration, taken or made as part of an employee's official duties.

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Original upload log

Transferred from en.wikipedia to Commons by SiggyF using CommonsHelper.

The original description page was here. All following user names refer to en.wikipedia.
  • 2009-12-09 15:06 Hurricaneg 500×300× (10286 bytes) {{Information |Description = Wave Statistics |Source = NOAA UCAR COMET Program |Date = ~~~~~ |Author = COMET PROGRAM |Permission = Public |other_versions = n/a }}

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Date/TimeThumbnailDimensionsUserComment
current21:15, 1 August 2012Thumbnail for version as of 21:15, 1 August 2012741 × 336 (19 KB)SiggyF{{Information |Description={{en|Wave Statistics}} |Source=Transferred from [http://en.wikipedia.org en.wikipedia]; transferred to Commons by User:SiggyF using [http://tools.wikimedia.de/~magnus/commonshelper.php CommonsHelper].<br/> Regenerated usi...
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