Source code for openquake.hmtk.seismicity.declusterer.distance_time_windows

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

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"""
"""

import abc
import numpy as np
from openquake.baselib.general import CallableDict

TIME_DISTANCE_WINDOW_FUNCTIONS = CallableDict()
DAYS = 364.75


[docs]def time_window_cutoff(sw_time, time_cutoff):
    """
    Allows for cutting the declustering time window at a specific time, outside
    of which an event of any magnitude is no longer identified as a cluster
    """
    sw_time = np.array(
        [
            (time_cutoff / DAYS) if x > (time_cutoff / DAYS) else x
            for x in sw_time
        ]
    )
    return sw_time


[docs]class BaseDistanceTimeWindow(object):
    """
    Defines the space and time windows, within which an event is identified
    as a cluster.
    """

[docs]    @abc.abstractmethod
    def calc(self, magnitude, time_cutoff=None):
        """
        Allows to calculate distance and time windows (sw_space, sw_time)
        see reference: `Van Stiphout et al (2011)`.

        :param magnitude: magnitude
        :type magnitude: numpy.ndarray
        :param time_cutoff: time window cutoff in days (optional)
        :type time_cutoff: int
        :returns: distance and time windows
        :rtype: numpy.ndarray
        """
        return


[docs]@TIME_DISTANCE_WINDOW_FUNCTIONS.add("GardnerKnopoff")
class GardnerKnopoffWindow(BaseDistanceTimeWindow):
    """
    Gardner Knopoff method for calculating distance and time windows
    """

[docs]    def calc(self, magnitude, time_cutoff=None):
        sw_space = np.power(10.0, 0.1238 * magnitude + 0.983)
        sw_time = np.power(10.0, 0.032 * magnitude + 2.7389) / DAYS
        sw_time[magnitude < 6.5] = (
            np.power(10.0, 0.5409 * magnitude[magnitude < 6.5] - 0.547) / DAYS
        )
        if time_cutoff:
            sw_time = time_window_cutoff(sw_time, time_cutoff)
        return sw_space, sw_time


[docs]@TIME_DISTANCE_WINDOW_FUNCTIONS.add("Gruenthal")
class GruenthalWindow(BaseDistanceTimeWindow):
    """
    Gruenthal method for calculating distance and time windows
    """

[docs]    def calc(self, magnitude, time_cutoff=None):
        sw_space = np.exp(1.77 + np.sqrt(0.037 + 1.02 * magnitude))
        sw_time = np.abs(
            (np.exp(-3.95 + np.sqrt(0.62 + 17.32 * magnitude))) / DAYS
        )
        sw_time[magnitude >= 6.5] = (
            np.power(10, 2.8 + 0.024 * magnitude[magnitude >= 6.5]) / DAYS
        )
        if time_cutoff:
            sw_time = time_window_cutoff(sw_time, time_cutoff)
        return sw_space, sw_time


[docs]@TIME_DISTANCE_WINDOW_FUNCTIONS.add("UrhammerWindow")
class UhrhammerWindow(BaseDistanceTimeWindow):
    """
    Uhrhammer method for calculating distance and time windows
    """

[docs]    def calc(self, magnitude, time_cutoff=None):
        sw_space = np.exp(-1.024 + 0.804 * magnitude)
        sw_time = np.exp(-2.87 + 1.235 * magnitude) / DAYS
        if time_cutoff:
            sw_time = time_window_cutoff(sw_time, time_cutoff)
        return sw_space, sw_time