Source code for openquake.hmtk.plotting.seismicity.completeness.plot_stepp_1972

# -*- coding: utf-8 -*-
# vim: tabstop=4 shiftwidth=4 softtabstop=4

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# D. Monelli.
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'''
Module :mod: 'openquake.hmtk.plotting.seismicity.completeness.plot_stepp_1971'
creates plot to illustrate outcome of Stepp (1972) method for completeness
analysis
'''
import os.path
import itertools

import numpy as np
import matplotlib.pyplot as plt

# markers which can be filled or empty
VALID_MARKERS = ['s', 'o', '^', 'D', 'p', 'h', '8',
                 '*', 'd', 'v', '<', '>', 'H']


[docs]def create_stepp_plot(model, filename=None, filetype='png', dpi=300, ax=None): ''' Creates the classic Stepp (1972) plots for a completed Stepp analysis, and exports the figure to a file. :param model: Completed Stepp (1972) analysis as instance of :class: `openquake.hmtk.seismicity.completeness.comp_stepp_1971.Stepp1971` :param string filename: Name of output file :param string filetype: Type of file (from list supported by matplotlib) :param int dpi: Resolution (dots per inch) of output file ''' if ax is None: fig, ax = plt.subplots() else: fig = ax.get_figure() if filename and os.path.exists(filename): raise IOError('File already exists!') # get colours from current axes: thus user can set up before calling prop_cycler = ax._get_lines.prop_cycler prop_cyclers = itertools.tee(itertools.cycle(prop_cycler), 3) marker_cyclers = itertools.tee(itertools.cycle(VALID_MARKERS), 3) # plot observed Sigma lambda for i, (min_mag, max_mag) in enumerate(zip(model.magnitude_bin[:-1], model.magnitude_bin[1:])): label = '(%g, %g]: %d' % (min_mag, max_mag, model.completeness_table[i, 0]) colour = next(prop_cyclers[0])['color'] ax.loglog(model.time_values, model.sigma[:, i], linestyle='none', marker=next(marker_cyclers[0]), markersize=3, markerfacecolor=colour, markeredgecolor=colour, label=label) # plot expected Poisson rate for i in range(0, len(model.magnitude_bin) - 1): ax.loglog(model.time_values, model.model_line[:, i], color=next(prop_cyclers[1])['color'], linewidth=0.5) # mark breaks from expected rate for i in range(0, len(model.magnitude_bin) - 1): colour = next(prop_cyclers[2])['color'] if np.any(np.isnan(model.model_line[:, i])): continue xmarker = model.end_year - model.completeness_table[i, 0] knee = model.model_line[:, i] > 0. ymarker = 10.0 ** np.interp(np.log10(xmarker), np.log10(model.time_values[knee]), np.log10(model.model_line[knee, i])) ax.loglog(xmarker, ymarker, marker=next(marker_cyclers[2]), markerfacecolor='white', markeredgecolor=colour) ax.legend(loc='center left', bbox_to_anchor=(1, 0.5), frameon=False, fontsize='small') ax.set_xlabel('Time (years)') ax.set_ylabel("$\\sigma_{\\lambda} = \\sqrt{\\lambda} / \\sqrt{T}$") ax.autoscale(enable=True, axis='both', tight=True) # save figure to file if filename is not None: fig.savefig(filename, dpi=dpi, format=filetype)