Source code for openquake.hmtk.seismicity.smoothing.kernels.isotropic_gaussian

# -*- coding: utf-8 -*-
# LICENSE
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# Copyright (C) 2010-2018 GEM Foundation, G. Weatherill, M. Pagani,
# D. Monelli.
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# The Hazard Modeller's Toolkit is free software: you can redistribute
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# Earthquake Model).
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# -*- coding: utf-8 -*-
'''
Module :mod:`openquake.hmtk.seismicity.smoothing.kernels.isotropic_gaussian`
imports :class:`openquake.hmtk.seismicity.smoothing.kernels.isotropic_gaussian.IsotropicGaussian`
the simple isotropic Gaussian smoothing kernel as described by Frankel (1995)

Frankel, A. (1995) Mapping Seismic Hazard in the Central and Eastern United
States. Seismological Research Letters. 66(4) 8 - 21
'''

import numpy as np
from openquake.hmtk.seismicity.utils import haversine
from openquake.hmtk.seismicity.smoothing.kernels.base import (
    BaseSmoothingKernel)


class IsotropicGaussian(BaseSmoothingKernel):
    '''
    Applies a simple isotropic Gaussian smoothing using an Isotropic Gaussian
    Kernel - taken from Frankel (1995) approach
    '''

    def smooth_data(self, data, config, is_3d=False):
        '''
        Applies the smoothing kernel to the data

        :param np.ndarray data:
            Raw earthquake count in the form [Longitude, Latitude, Depth,
                Count]
        :param dict config:
            Configuration parameters must contain:
            * BandWidth: The bandwidth of the kernel (in km) (float)
            * Length_Limit: Maximum number of standard deviations

        :returns:
            * smoothed_value: np.ndarray vector of smoothed values
            * Total (summed) rate of the original values
            * Total (summed) rate of the smoothed values
        '''
        max_dist = config['Length_Limit'] * config['BandWidth']
        smoothed_value = np.zeros(len(data), dtype=float)
        for iloc in range(0, len(data)):
            dist_val = haversine(data[:, 0], data[:, 1],
                                 data[iloc, 0], data[iloc, 1])

            if is_3d:
                dist_val = np.sqrt(dist_val.flatten() ** 2.0 +
                                   (data[:, 2] - data[iloc, 2]) ** 2.0)
            id0 = np.where(dist_val <= max_dist)[0]
            w_val = (np.exp(-(dist_val[id0] ** 2.0) /
                            (config['BandWidth'] ** 2.))).flatten()
            smoothed_value[iloc] = np.sum(w_val * data[id0, 3]) / np.sum(w_val)
        return smoothed_value, np.sum(data[:, -1]), np.sum(smoothed_value)