# -*- coding: utf-8 -*-
# vim: tabstop=4 shiftwidth=4 softtabstop=4
#
# LICENSE
#
# Copyright (C) 2010-2021 GEM Foundation, G. Weatherill, M. Pagani,
# D. Monelli.
#
# The Hazard Modeller's Toolkit is free software: you can redistribute
# it and/or modify it under the terms of the GNU Affero General Public
# License as published by the Free Software Foundation, either version
# 3 of the License, or (at your option) any later version.
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# along with OpenQuake. If not, see <http://www.gnu.org/licenses/>
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# The software Hazard Modeller's Toolkit (openquake.hmtk) provided herein
# is released as a prototype implementation on behalf of
# scientists and engineers working within the GEM Foundation (Global
# Earthquake Model).
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# It is distributed for the purpose of open collaboration and in the
# hope that it will be useful to the scientific, engineering, disaster
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# The software is NOT distributed as part of GEM's OpenQuake suite
# (https://www.globalquakemodel.org/tools-products) and must be considered as a
# separate entity. The software provided herein is designed and implemented
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# subject to same level of critical review by professional software
# developers, as GEM's OpenQuake software suite.
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# Feedback and contribution to the software is welcome, and can be
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# The Hazard Modeller's Toolkit (openquake.hmtk) is therefore distributed
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'''
Module openquake.hmtk.plotting.seismicity.completeness.simple_completeness is a graphical
function for estimating the completeness period of magnitude intervals
by plotting the cumulative rate of events with time in each interval
'''
import numpy as np
import pylab
import matplotlib.pyplot as plt
from openquake.hmtk.seismicity.completeness.base import (
BaseCatalogueCompleteness)
[docs]class SimpleCumulativeRate(BaseCatalogueCompleteness):
'''
Class to define the temporal variation in completess using simple
changes in cumulative rates in individual completeness bins
'''
[docs] def completeness(self, catalogue, config, saveplot=False, filetype='png',
timeout=120):
'''
:param catalogue:
Earthquake catalogue as instance of
:class:`openquake.hmtk.seismicity.catalogue.Catalogue`
:param dict config:
Configuration parameters of the algorithm, containing the
following information:
'magnitude_bin' Size of magnitude bin (non-negative float)
'time_bin' Size (in dec. years) of the time window (non-negative
float)
'increment_lock' Boolean to indicate whether to ensure
completeness magnitudes always decrease with more
recent bins
:returns:
2-column table indicating year of completeness and corresponding
magnitude numpy.ndarray
'''
if saveplot and not isinstance(saveplot, str):
raise ValueError('To save the figures enter a filename: ')
# Get magntitude bins
magnitude_bins = self._get_magnitudes_from_spacing(
catalogue.data['magnitude'],
config['magnitude_bin'])
dec_time = catalogue.get_decimal_time()
completeness_table = np.zeros([len(magnitude_bins) - 1, 2],
dtype=float)
min_year = float(np.min(catalogue.data['year']))
max_year = float(np.max(catalogue.data['year'])) + 1.0
has_completeness = np.zeros(len(magnitude_bins) - 1, dtype=bool)
for iloc in range(0, len(magnitude_bins) - 1):
lower_mag = magnitude_bins[iloc]
upper_mag = magnitude_bins[iloc + 1]
idx = np.logical_and(catalogue.data['magnitude'] >= lower_mag,
catalogue.data['magnitude'] < upper_mag)
cumvals = np.cumsum(np.ones(np.sum(idx)))
plt.plot(dec_time[idx], cumvals, '.')
plt.xlim(min_year, max_year + 5)
title_string = 'Magnitude %5.2f to %5.2f' % (lower_mag, upper_mag)
plt.title(title_string)
pts = pylab.ginput(1, timeout=timeout)[0]
if pts[0] <= max_year:
# Magnitude bin has no completeness!
has_completeness[iloc] = True
completeness_table[iloc, 0] = np.floor(pts[0])
completeness_table[iloc, 1] = magnitude_bins[iloc]
print(completeness_table[iloc, :], has_completeness[iloc])
if config['increment_lock'] and (iloc > 0) and \
(completeness_table[iloc, 0] > completeness_table[iloc - 1, 0]):
completeness_table[iloc, 0] = \
completeness_table[iloc - 1, 0]
# Add marker line to indicate completeness point
marker_line = np.array([
[0., completeness_table[iloc, 0]],
[cumvals[-1], completeness_table[iloc, 0]]])
plt.plot(marker_line[:, 0], marker_line[:, 1], 'r-')
if saveplot:
filename = saveplot + '_' + ('%5.2f' % lower_mag) + (
'%5.2f' % upper_mag) + '.' + filetype
plt.savefig(filename, format=filetype)
plt.close()
return completeness_table[has_completeness, :]
def _get_magnitudes_from_spacing(self, magnitudes, delta_m):
'''If a single magnitude spacing is input then create the bins
:param numpy.ndarray magnitudes:
Vector of earthquake magnitudes
:param float delta_m:
Magnitude bin width
:returns: Vector of magnitude bin edges (numpy.ndarray)
'''
min_mag = np.min(magnitudes)
max_mag = np.max(magnitudes)
if (max_mag - min_mag) < delta_m:
raise ValueError('Bin width greater than magnitude range!')
mag_bins = np.arange(np.floor(min_mag), np.ceil(max_mag), delta_m)
# Check to see if there are magnitudes in lower and upper bins
is_mag = np.logical_and(mag_bins - max_mag < delta_m,
min_mag - mag_bins < delta_m)
mag_bins = mag_bins[is_mag]
return mag_bins