def test_set_ab(self):
mfd = TruncatedGRMFD(min_mag=2.5, max_mag=3.5, bin_width=0.25,
a_val=1, b_val=1.3)
mfd.modify('set_ab', {'a_val': -4.2, 'b_val': 1.45})
self.assertEqual(mfd.max_mag, 3.5)
self.assertEqual(mfd.a_val, -4.2)
self.assertEqual(mfd.b_val, 1.45)
self.assertEqual(mfd.min_mag, 2.5)
def test_set_max_mag(self):
mfd = TruncatedGRMFD(min_mag=3.5, max_mag=5.5, bin_width=0.5,
a_val=1, b_val=1.3)
mfd.modify('set_max_mag', {'value': 4.2})
self.assertEqual(mfd.max_mag, 4.2)
self.assertEqual(mfd.a_val, 1)
self.assertEqual(mfd.b_val, 1.3)
self.assertEqual(mfd.min_mag, 3.5)
def test(self):
mfd = TruncatedGRMFD(min_mag=0.61, max_mag=0.94, bin_width=0.1,
a_val=1, b_val=0.2)
# mag values should be rounded to 0.6 and 0.9 and there
# should be three bins with the first having center at 0.65
min_mag, num_bins = mfd._get_min_mag_and_num_bins()
self.assertAlmostEqual(min_mag, 0.65)
self.assertEqual(mfd.get_min_max_mag(), (min_mag, min_mag + 0.2))
self.assertEqual(num_bins, 3)
def _test(self, expected_rates, rate_tolerance, **kwargs):
mfd = TruncatedGRMFD(**kwargs)
actual_rates = mfd.get_annual_occurrence_rates()
self.assertEqual(len(actual_rates), len(expected_rates))
for i, (mag, rate) in enumerate(actual_rates):
expected_mag, expected_rate = expected_rates[i]
self.assertAlmostEqual(mag, expected_mag, delta=1e-14)
self.assertAlmostEqual(rate, expected_rate, delta=rate_tolerance)
if i == 0:
self.assertEqual((mag, mag + 2), mfd.get_min_max_mag())
def test_3(self):
# rupture length greater than fault length, number of nodes along
# length is odd and along width is even
mfd = TruncatedGRMFD(a_val=0.5,
b_val=1.0,
min_mag=5.0,
max_mag=6.0,
bin_width=1.0)
self._test_ruptures(test_data.TEST3_RUPTURES,
self._make_source(mfd=mfd, aspect_ratio=4.0))
def _get_mfds(srcs):
"""
Return sources' magnitude frequency distributions.
"""
mfds = {}
tot_occur_rate = 0
for src in srcs:
mfd = {}
if isinstance(src.mfd, IncrementalMFD):
mfd['min_mag'] = float(src.mfd.min_mag)
mfd['bin_width'] = float(src.mfd.bin_width)
mfd['occur_rates'] = map(float, src.mfd.occur_rates)
elif isinstance(src.mfd, TGRMFD):
bin_width = 0.1
mfd = TruncatedGRMFD(
src.mfd.min_mag,
src.mfd.max_mag,
bin_width,
src.mfd.a_val,
src.mfd.b_val
)
mags_rates = mfd.get_annual_occurrence_rates()
mags = [m for m, _ in mags_rates]
occur_rates = [r for _, r in mags_rates]
mfd['min_mag'] = mags[0]
mfd['bin_width'] = bin_width
mfd['occur_rates'] = occur_rates
else:
raise ValueError(
'MFD %s not recognized' % src.mfd.__class__.__name__
)
tot_occur_rate += sum(mfd['occur_rates'])
assert src.id not in mfds
mfds[src.id] = mfd
return mfds, tot_occur_rate
def test_5(self):
# rupture length and width greater than fault length and width
# respectively
mfd = TruncatedGRMFD(a_val=0.5,
b_val=1.0,
min_mag=6.0,
max_mag=7.0,
bin_width=1.0)
self._test_ruptures(test_data.TEST5_RUPTURES,
self._make_source(mfd=mfd, aspect_ratio=1.0))
def test_4(self):
# rupture width greater than fault width, number of nodes along
# length is even, along width is odd
mfd = TruncatedGRMFD(a_val=0.5,
b_val=1.0,
min_mag=5.4,
max_mag=5.5,
bin_width=0.1)
self._test_ruptures(test_data.TEST4_RUPTURES,
self._make_source(mfd=mfd, aspect_ratio=0.5))
def sliprate2GR_incremental(sliprate,
fault_area,
b_value,
max_mag,
min_mag=0.0,
bin_width=0.1):
"""Converts a sliprate and b-value into a Gutenberg-
Richter distribution, then converts this to an
OpenQuake incremental MFD (to facilitate collapsing of rates
with other MFDs)
"""
a_value, moment_rate = fault_slip_rate_GR_conversion.slip2GR(
sliprate, fault_area, float(b_value), float(max_mag), M_min=min_mag)
mfd = TruncatedGRMFD(min_mag, max_mag, bin_width, a_value, b_value)
mags, rates = zip(*mfd.get_annual_occurrence_rates())
mags = np.array(mags)
rates = np.array(rates)
return mags, rates, moment_rate
def test_2(self):
# rupture dimensions are larger then mesh_spacing, number of nodes
# along strike and dip is even
mfd = TruncatedGRMFD(a_val=0.5,
b_val=1.0,
min_mag=3.0,
max_mag=4.0,
bin_width=1.0)
self._test_ruptures(test_data.TEST2_RUPTURES,
self._make_source(mfd=mfd, aspect_ratio=1.0))
def test_increment_b(self):
mfd = TruncatedGRMFD(min_mag=4.2,
max_mag=6.6,
bin_width=0.2,
a_val=-20.5,
b_val=0.51)
old_tmr = mfd._get_total_moment_rate()
mfd.modify('increment_b', {'value': 1.46})
self.assertEqual(mfd.max_mag, 6.6)
self.assertEqual(mfd.b_val, 0.51 + 1.46)
self.assertEqual(mfd.min_mag, 4.2)
self.assertAlmostEqual(mfd._get_total_moment_rate(), old_tmr)
mfd.modify('increment_b', {'value': -1.46})
self.assertAlmostEqual(mfd._get_total_moment_rate(), old_tmr)
self.assertEqual(mfd.b_val, 0.51)
self.assertAlmostEqual(mfd.a_val, -20.5)
def test_increment_max_mag(self):
mfd = TruncatedGRMFD(min_mag=6.0,
max_mag=7.0,
bin_width=0.1,
a_val=-18.2,
b_val=0.41)
old_tmr = mfd._get_total_moment_rate()
mfd.modify('increment_max_mag', {'value': 1})
self.assertEqual(mfd.max_mag, 8.0)
self.assertEqual(mfd.b_val, 0.41)
self.assertEqual(mfd.min_mag, 6.0)
self.assertAlmostEqual(mfd._get_total_moment_rate(), old_tmr)
mfd.modify('increment_max_mag', {'value': -1})
self.assertAlmostEqual(mfd._get_total_moment_rate(), old_tmr)
self.assertEqual(mfd.max_mag, 7.0)
self.assertAlmostEqual(mfd.a_val, -18.2)
def test_increment_max_mag(self):
mfd = TruncatedGRMFD(min_mag=6.0, max_mag=7.0, bin_width=0.1,
a_val=-18.2, b_val=0.41)
old_tmr = mfd._get_total_moment_rate()
mfd.modify('increment_max_mag', {'value': 1})
self.assertEqual(mfd.max_mag, 8.0)
self.assertEqual(mfd.b_val, 0.41)
self.assertEqual(mfd.min_mag, 6.0)
self.assertAlmostEqual(mfd._get_total_moment_rate(), old_tmr)
mfd.modify('increment_max_mag', {'value': -1})
self.assertAlmostEqual(mfd._get_total_moment_rate(), old_tmr)
self.assertEqual(mfd.max_mag, 7.0)
self.assertAlmostEqual(mfd.a_val, -18.2)
def test_increment_b(self):
mfd = TruncatedGRMFD(min_mag=4.2, max_mag=6.6, bin_width=0.2,
a_val=-20.5, b_val=0.51)
old_tmr = mfd._get_total_moment_rate()
mfd.modify('increment_b', {'value': 1.46})
self.assertEqual(mfd.max_mag, 6.6)
self.assertEqual(mfd.b_val, 0.51 + 1.46)
self.assertEqual(mfd.min_mag, 4.2)
self.assertAlmostEqual(mfd._get_total_moment_rate(), old_tmr)
mfd.modify('increment_b', {'value': -1.46})
self.assertAlmostEqual(mfd._get_total_moment_rate(), old_tmr)
self.assertEqual(mfd.b_val, 0.51)
self.assertAlmostEqual(mfd.a_val, -20.5)
def test_mesh_spacing_too_small(self):
mfd = TruncatedGRMFD(a_val=0.5,
b_val=1.0,
min_mag=0.5,
max_mag=1.5,
bin_width=1.0)
with self.assertRaises(ValueError) as ar:
self._make_source(mfd=mfd, aspect_ratio=1.0)
self.assertEqual(
str(ar.exception), 'mesh spacing 1 is too high to represent '
'ruptures of magnitude 1.5')
def test_fault_trace_intersects_itself(self):
mfd = TruncatedGRMFD(a_val=0.5,
b_val=1.0,
min_mag=10,
max_mag=20,
bin_width=1.0)
fault_trace = Line(
[Point(0, 0), Point(0, 1),
Point(1, 1), Point(0, 0.5)])
with self.assertRaises(ValueError) as ar:
self._make_source(mfd=mfd, aspect_ratio=1, fault_trace=fault_trace)
self.assertEqual(str(ar.exception), 'fault trace intersects itself')
def example_calc(apply):
sitecol = SiteCollection([
Site(Point(30.0, 30.0), 760., 1.0, 1.0),
Site(Point(30.25, 30.25), 760., 1.0, 1.0),
Site(Point(30.4, 30.4), 760., 1.0, 1.0)])
mfd_1 = TruncatedGRMFD(4.5, 8.0, 0.1, 4.0, 1.0)
mfd_2 = TruncatedGRMFD(4.5, 7.5, 0.1, 3.5, 1.1)
sources = [PointSource('001', 'Point1', 'Active Shallow Crust',
mfd_1, 1.0, WC1994(), 1.0, PoissonTOM(50.0),
0.0, 30.0, Point(30.0, 30.5),
PMF([(1.0, NodalPlane(0.0, 90.0, 0.0))]),
PMF([(1.0, 10.0)])),
PointSource('002', 'Point2', 'Active Shallow Crust',
mfd_2, 1.0, WC1994(), 1.0, PoissonTOM(50.0),
0.0, 30.0, Point(30.0, 30.5),
PMF([(1.0, NodalPlane(0.0, 90.0, 0.0))]),
PMF([(1.0, 10.0)]))]
imtls = {'PGA': [0.01, 0.1, 0.2, 0.5, 0.8],
'SA(0.5)': [0.01, 0.1, 0.2, 0.5, 0.8]}
gsims = {'Active Shallow Crust': AkkarBommer2010()}
return calc_hazard_curves(sources, sitecol, imtls, gsims, apply=apply)
def test_instantiation(self):
min_mag = 0.0
max_mag = 7.0
bin_width = 0.01
b_val = 1.0
moment_rate = 4.5e16
mfd = TruncatedGRMFD.from_moment(min_mag, max_mag, bin_width, b_val,
moment_rate)
rates = np.array(mfd.get_annual_occurrence_rates())
computed = np.sum(10**(1.5 * rates[:, 0] + 9.1) * rates[:, 1])
msg = "Scalar Mo rate from MFD does not match the original one"
self.assertAlmostEqual(moment_rate, computed, msg=msg, delta=1e14)
def test_set_a_and_get_total_moment_rate(self):
mfd = TruncatedGRMFD(min_mag=3.0, max_mag=4.0, bin_width=0.1,
a_val=4.4, b_val=0.5)
tmr = mfd._get_total_moment_rate()
mfd._set_a(tmr)
self.assertAlmostEqual(mfd.a_val, 4.4)
self.assertEqual(mfd._get_total_moment_rate(), tmr)
def test_set_a_and_get_total_moment_rate_when_b_equal_to_1_5(self):
mfd = TruncatedGRMFD(min_mag=2.4, max_mag=5.6, bin_width=0.4,
a_val=-0.44, b_val=1.5)
tmr = mfd._get_total_moment_rate()
mfd._set_a(tmr)
self.assertAlmostEqual(mfd.a_val, -0.44)
self.assertEqual(mfd._get_total_moment_rate(), tmr)
def test(self):
mfd = TruncatedGRMFD(a_val=1,
b_val=2,
min_mag=3,
max_mag=5,
bin_width=1)
np_dist = PMF([(0.5, NodalPlane(1, 20, 3)), (0.5, NodalPlane(2, 2,
4))])
source = make_point_source(nodal_plane_distribution=np_dist, mfd=mfd)
radius = source._get_max_rupture_projection_radius()
self.assertAlmostEqual(radius, 1.2830362)
mfd = TruncatedGRMFD(a_val=1,
b_val=2,
min_mag=5,
max_mag=6,
bin_width=1)
np_dist = PMF([(0.5, NodalPlane(1, 40, 3)), (0.5, NodalPlane(2, 30,
4))])
source = make_point_source(nodal_plane_distribution=np_dist, mfd=mfd)
radius = source._get_max_rupture_projection_radius()
self.assertAlmostEqual(radius, 3.8712214)
def test01(self):
""" Simplest test """
# Create the magnitude-frequency distribution
mfd = TruncatedGRMFD(a_val=0.5,
b_val=1.0,
min_mag=6.2,
max_mag=6.4,
bin_width=0.1)
source = self._make_source(mfd=mfd, aspect_ratio=1.5)
# The fault surface created should contain 13 quadrilaterals along
# the strike and 9 quadrilaterals along the dip. The distance between
# the two profiles is 33 km. Given that we use a grid spacing of
# 2.5 km, 2.5 * 13 gives 32.5 km. The grid spacing along dip is scaled
# by the aspect ratio so that the sampling is proportional along
# strike and dip. In this case the sampling along strike is 1.66km
msg = 'Wrong surface mesh'
self.assertEqual(source.surface.mesh.lons.shape[1], 14, msg)
self.assertEqual(source.surface.mesh.lons.shape[0], 10, msg)
# Regarding ruptures, the lowest magnitude admitted by the MFD is 6.25
# hence - given that the corresponding area of the rupture is 178 km
# and the aspect ratio is 1.5 the mesh covered by this rupture must
# have the following dimensions:
# - width = 10.68 km i.e. 6 quadrilaterals and 7 vertexes
# - lenght = 16.02 km i.e. 7 quadrilaterals and 8 vertexes
for idx, tmp in enumerate(source.iter_ruptures()):
rup = tmp
if idx == 0:
break
msg = 'Wrong dimension of the rupture'
self.assertEqual(rup.surface.mesh.lons.shape[0], 7, msg)
self.assertEqual(rup.surface.mesh.lons.shape[1], 8, msg)
msg = 'Wrong number of ruptures'
self.assertEqual(source.count_ruptures(), 42, msg)
if MAKE_PICTURES:
ppp(source.profiles, source.surface)
if MAKE_MOVIES:
ruptures = [r for r in source.iter_ruptures()]
self._ruptures_animation('test01', source.surface, ruptures,
source.profiles)
def setUp(self):
# time span of 10 million years
self.time_span = 10e6
nodalplane = NodalPlane(strike=0.0, dip=90.0, rake=0.0)
self.mfd = TruncatedGRMFD(a_val=3.5, b_val=1.0, min_mag=5.0,
max_mag=6.5, bin_width=0.1)
# area source of circular shape with radius of 100 km
# centered at 0., 0.
self.area1 = AreaSource(
source_id='src_1',
name='area source',
tectonic_region_type='Active Shallow Crust',
mfd=self.mfd,
nodal_plane_distribution=PMF([(1.0, nodalplane)]),
hypocenter_distribution=PMF([(1.0, 5.0)]),
upper_seismogenic_depth=0.0,
lower_seismogenic_depth=10.0,
magnitude_scaling_relationship=WC1994(),
rupture_aspect_ratio=1.0,
polygon=Point(0., 0.).to_polygon(100.),
area_discretization=9.0,
rupture_mesh_spacing=1.0,
temporal_occurrence_model=PoissonTOM(self.time_span)
)
# area source of circular shape with radius of 100 km
# centered at 1., 1.
self.area2 = AreaSource(
source_id='src_1',
name='area source',
tectonic_region_type='Active Shallow Crust',
mfd=self.mfd,
nodal_plane_distribution=PMF([(1.0, nodalplane)]),
hypocenter_distribution=PMF([(1.0, 5.0)]),
upper_seismogenic_depth=0.0,
lower_seismogenic_depth=10.0,
magnitude_scaling_relationship=WC1994(),
rupture_aspect_ratio=1.0,
polygon=Point(5., 5.).to_polygon(100.),
area_discretization=9.0,
rupture_mesh_spacing=1.0,
temporal_occurrence_model=PoissonTOM(self.time_span)
)
# non-parametric source
self.np_src, _ = make_non_parametric_source()
def test_calculate_fault_surface_area(self):
mfd = TruncatedGRMFD(a_val=0.5,
b_val=1.0,
min_mag=6.0,
max_mag=7.0,
bin_width=1.0)
# The upper and lower seismogenic depths are 0 and 4.24 respectively
fault_trace = Line([Point(0.123, 0.456), Point(1.123, 0.456)])
source = self._make_source(mfd=mfd,
aspect_ratio=1.0,
fault_trace=fault_trace,
dip=45)
computed = source.get_fault_surface_area()
# Checked with an approx calculaton by hand
expected = 665.66913
self.assertAlmostEqual(computed, expected, places=2)
def setUp(self):
mfd = TruncatedGRMFD(min_mag=4.0,
max_mag=6.0,
bin_width=0.1,
a_val=2.0,
b_val=1.0)
msr = WC1994()
tom = PoissonTOM(1.0)
loc = Point(longitude=0.0,
latitude=0.0)
npd = PMF([(1.0, NodalPlane(0.0, 90.0, 0.0))])
hpd = PMF([(0.7, 10.), (0.3, 20.0)])
self.src1 = PointSource(source_id='1',
name='1',
tectonic_region_type='Test',
mfd=mfd,
rupture_mesh_spacing=1,
magnitude_scaling_relationship=msr,
rupture_aspect_ratio=1.,
temporal_occurrence_model=tom,
upper_seismogenic_depth=0,
lower_seismogenic_depth=100.,
location=loc,
nodal_plane_distribution=npd,
hypocenter_distribution=hpd)
mfd = EvenlyDiscretizedMFD(min_mag=4.0,
bin_width=0.1,
occurrence_rates=[3., 2., 1.])
self.src2 = PointSource(source_id='1',
name='1',
tectonic_region_type='Test',
mfd=mfd,
rupture_mesh_spacing=1,
magnitude_scaling_relationship=msr,
rupture_aspect_ratio=1.,
temporal_occurrence_model=tom,
upper_seismogenic_depth=0,
lower_seismogenic_depth=100.,
location=loc,
nodal_plane_distribution=npd,
hypocenter_distribution=hpd)
def test01(self):
source_id = name = 'test-source'
trt = self.TRT
rake = self.RAKE
rupture_mesh_spacing = 2.5
upper_seismogenic_depth = 0
lower_seismogenic_depth = 4.2426406871192848
magnitude_scaling_relationship = PeerMSR()
rupture_aspect_ratio = 2.0
tom = self.TOM
fault_trace = Line([
Point(0.0, 0.0),
Point(0.0, 0.0359728811758),
Point(0.0190775080917, 0.0550503815181),
Point(0.03974514139, 0.0723925718855)
])
mfd = TruncatedGRMFD(a_val=0.5,
b_val=1.0,
min_mag=5.8,
max_mag=6.2,
bin_width=0.1)
floating_x_step = 10.0
floating_y_step = 5.0
dip = 90.0
src = KiteFaultSource.as_simple_fault(
source_id, name, trt, mfd, rupture_mesh_spacing,
magnitude_scaling_relationship, rupture_aspect_ratio, tom,
upper_seismogenic_depth, lower_seismogenic_depth, fault_trace, dip,
rake, floating_x_step, floating_y_step)
sfs = SimpleFaultSurface.from_fault_data(fault_trace,
upper_seismogenic_depth,
lower_seismogenic_depth, dip,
rupture_mesh_spacing)
msh = Mesh(lons=numpy.array([0.02]),
lats=numpy.array([0.03]),
depths=numpy.array([0.0]))
rrup_sf = sfs.get_min_distance(msh)
rrup_kf = src.surface.get_min_distance(msh)
numpy.testing.assert_almost_equal(rrup_sf, rrup_kf, decimal=1)
if MAKE_PICTURES:
ppp(src.profiles, src.surface)
def make_area_source(polygon, discretization, **kwargs):
default_arguments = {
'source_id': 'source_id', 'name': 'area source name',
'tectonic_region_type': TRT.VOLCANIC,
'mfd': TruncatedGRMFD(a_val=3, b_val=1, min_mag=5,
max_mag=7, bin_width=1),
'nodal_plane_distribution': PMF([(1, NodalPlane(1, 2, 3))]),
'hypocenter_distribution': PMF([(1, 4)]),
'upper_seismogenic_depth': 1.3,
'lower_seismogenic_depth': 4.9,
'magnitude_scaling_relationship': PeerMSR(),
'rupture_aspect_ratio': 1.333,
'polygon': polygon,
'area_discretization': discretization,
'rupture_mesh_spacing': 12.33
}
default_arguments.update(kwargs)
kwargs = default_arguments
source = AreaSource(**kwargs)
return source
def test(self):
sitecol = SiteCollection([Site(Point(30.0, 30.0), 760., 1.0, 1.0)])
mfd = TruncatedGRMFD(4.5, 8.0, 0.1, 4.0, 1.0)
sources = [PointSource('001', 'Point1', 'Active Shallow Crust',
mfd, 1.0, WC1994(), 1.0, PoissonTOM(50.0),
0.0, 30.0, Point(30.0, 30.5),
PMF([(1.0, NodalPlane(0.0, 90.0, 0.0))]),
PMF([(1.0, 10.0)]))]
imtls = {'PGA': [0.01, 0.1, 0.2, 0.5, 0.8]}
hc1 = calc_hazard_curves(sources, sitecol, imtls, {
'Active Shallow Crust': AkkarBommer2010()})['PGA']
hc2 = calc_hazard_curves(sources, sitecol, imtls, {
'Active Shallow Crust': SadighEtAl1997()})['PGA']
hc = .6 * hc1 + .4 * hc2
ag = AvgGMPE(b1=dict(AkkarBommer2010={'weight': .6}),
b2=dict(SadighEtAl1997={'weight': .4}))
hcm = calc_hazard_curves(sources, sitecol, imtls, {
'Active Shallow Crust': ag})['PGA']
# the AvgGMPE is not producing real means!!
numpy.testing.assert_almost_equal(hc, hcm, decimal=3)
def make_point_source(lon=1.2, lat=3.4, **kwargs):
default_arguments = {
'source_id': 'source_id', 'name': 'source name',
'tectonic_region_type': TRT.SUBDUCTION_INTRASLAB,
'mfd': TruncatedGRMFD(a_val=1, b_val=2, min_mag=3,
max_mag=5, bin_width=1),
'location': Point(lon, lat, 5.6),
'nodal_plane_distribution': PMF([(1, NodalPlane(1, 2, 3))]),
'hypocenter_distribution': PMF([(1, 4)]),
'upper_seismogenic_depth': 1.3,
'lower_seismogenic_depth': 4.9,
'magnitude_scaling_relationship': PeerMSR(),
'rupture_aspect_ratio': 1.333,
'rupture_mesh_spacing': 1.234,
'temporal_occurrence_model': PoissonTOM(50.)
}
default_arguments.update(kwargs)
kwargs = default_arguments
ps = PointSource(**kwargs)
assert_pickleable(ps)
return ps
def test02(self):
""" Simplest test """
profiles = [Line([Point(0.0, 0.0, 0.0), Point(0.0, 0.001, 15.0)]),
Line([Point(0.1, 0.0, 0.0), Point(0.1, 0.010, 12.0)]),
Line([Point(0.2, 0.0, 0.0), Point(0.2, 0.020, 9.0)]),
Line([Point(0.3, 0.0, 0.0), Point(0.3, 0.030, 6.0)])]
mfd = TruncatedGRMFD(a_val=0.5, b_val=1.0, min_mag=5.8, max_mag=6.2,
bin_width=0.1)
source = self._make_source(mfd=mfd, aspect_ratio=1.5,
profiles=profiles)
msg = 'Wrong number of ruptures'
self.assertEqual(source.count_ruptures(), 28, msg)
if MAKE_MOVIES:
ruptures = [r for r in source.iter_ruptures()]
self._ruptures_animation('test02', source.surface, ruptures,
source.profiles)
def setUp(self):
"""
"""
#
# coordinates of point sources
lons = [10.00, 10.10, 10.20, 10.00, 10.10, 10.20, 10.00, 10.10, 10.20]
lats = [45.10, 45.10, 45.10, 45.05, 45.05, 45.05, 45.00, 45.00, 45.00]
deps = [10.00, 10.00, 10.00, 10.00, 10.00, 10.00, 10.00, 10.00, 10.00]
self.lons = lons
self.lats = lats
#
# set main parameters
mfd = TruncatedGRMFD(min_mag=4.0,
max_mag=6.0,
bin_width=0.1,
a_val=2.0,
b_val=1.0)
msr = WC1994()
tom = PoissonTOM(1.0)
npd = PMF([(1.0, NodalPlane(0.0, 90.0, 0.0))])
hdd = PMF([(0.7, 4.), (0.3, 8.0)])
#
# create the list of sources
srcs = []
for idx, (lon, lat, dep) in enumerate(zip(lons, lats, deps)):
src = PointSource(source_id='1',
name='Test',
tectonic_region_type=TRT.ACTIVE_SHALLOW_CRUST,
mfd=mfd,
rupture_mesh_spacing=5.0,
magnitude_scaling_relationship=msr,
rupture_aspect_ratio=1.0,
temporal_occurrence_model=tom,
upper_seismogenic_depth=0,
lower_seismogenic_depth=10.,
location=Point(lon, lat, dep),
nodal_plane_distribution=npd,
hypocenter_distribution=hdd)
srcs.append(src)
self.points = srcs
class TestCCumulativeInterpolation(unittest.TestCase):
def setUp(self):
min_mag = 6.5
max_mag = 7.0
bin_width = 0.1
a_val = 3.0
b_val = 1.0
self.mfd = TruncatedGRMFD(min_mag, max_mag, bin_width, a_val, b_val)
self.ms = []
self.os = []
#
# loading information for the original MFD
for mag, occ in self.mfd.get_annual_occurrence_rates():
self.ms.append(mag)
self.os.append(occ)
self.os = np.array(self.os)
def test_interpolate_01(self):
"""
Test calculation of exceedance rate for magnitude equal to bin limit
"""
exrate = interpolate_ccumul(self.mfd, 6.8)
self.assertAlmostEqual(exrate, sum(self.os[-2:]))
def test_interpolate_02(self):
"""
Test calculation of exceedance rate for a given magnitude
"""
exrate = interpolate_ccumul(self.mfd, 6.84)
# rate computed by hand
self.assertAlmostEqual(exrate, 4.5450608e-05)
def test_interpolate_03(self):
"""
Test calculation of exceedance rate within the last bin
"""
exrate = interpolate_ccumul(self.mfd, 6.94)
# rate computed by hand
self.assertAlmostEqual(exrate, 1.285383e-05)
def test_dilated(self):
mfd = TruncatedGRMFD(a_val=1,
b_val=2,
min_mag=3,
max_mag=5,
bin_width=1)
np_dist = PMF([(1, NodalPlane(0, 2, 4))])
source = make_point_source(nodal_plane_distribution=np_dist, mfd=mfd)
polygon = source.get_rupture_enclosing_polygon(dilation=20)
self.assertIsInstance(polygon, Polygon)
elons = [
1.3917408, 1.3908138, 1.3880493, 1.3834740, 1.3771320, 1.3690846,
1.3594093, 1.3481992, 1.3355624, 1.3216207, 1.3065082, 1.2903704,
1.2733628, 1.2556490, 1.2373996, 1.2187902, 1.2000000, 1.1812098,
1.1626004, 1.1443510, 1.1266372, 1.1096296, 1.0934918, 1.0783793,
1.0644376, 1.0518008, 1.0405907, 1.0309154, 1.0228680, 1.0165260,
1.0119507, 1.0091862, 1.0082592, 1.0091788, 1.0119361, 1.0165049,
1.0228411, 1.0308838, 1.0405556, 1.0517635, 1.0643995, 1.0783420,
1.0934567, 1.1095979, 1.1266103, 1.1443298, 1.1625858, 1.1812023,
1.2000000, 1.2187977, 1.2374142, 1.2556702, 1.2733897, 1.2904021,
1.3065433, 1.3216580, 1.3356005, 1.3482365, 1.3594444, 1.3691162,
1.3771589, 1.3834951, 1.3880639, 1.3908212, 1.3917408
]
elats = [
3.3999810, 3.3812204, 3.3626409, 3.3444213, 3.3267370, 3.3097585,
3.2936490, 3.2785638, 3.2646481, 3.2520357, 3.2408482, 3.2311932,
3.2231637, 3.2168369, 3.2122738, 3.2095182, 3.2085967, 3.2095182,
3.2122738, 3.2168369, 3.2231637, 3.2311932, 3.2408482, 3.2520357,
3.2646481, 3.2785638, 3.2936490, 3.3097585, 3.3267370, 3.3444213,
3.3626409, 3.3812204, 3.3999810, 3.4187420, 3.4373226, 3.4555440,
3.4732305, 3.4902120, 3.5063247, 3.5214135, 3.5353329, 3.5479490,
3.5591401, 3.5687983, 3.5768308, 3.5831599, 3.5877248, 3.5904815,
3.5914033, 3.5904815, 3.5877248, 3.5831599, 3.5768308, 3.5687983,
3.5591401, 3.5479490, 3.5353329, 3.5214135, 3.5063247, 3.4902120,
3.4732305, 3.4555440, 3.4373226, 3.4187420, 3.3999810
]
numpy.testing.assert_allclose(polygon.lons, elons)
numpy.testing.assert_allclose(polygon.lats, elats)
def test_no_dilation(self):
mfd = TruncatedGRMFD(a_val=1,
b_val=2,
min_mag=3,
max_mag=5,
bin_width=1)
np_dist = PMF([(1, NodalPlane(0, 2, 4))])
source = make_point_source(nodal_plane_distribution=np_dist, mfd=mfd)
polygon = source.get_rupture_enclosing_polygon()
self.assertIsInstance(polygon, Polygon)
elons = [
1.2115590, 1.2115033, 1.2113368, 1.2110612, 1.2106790, 1.2101940,
1.2096109, 1.2089351, 1.2081734, 1.2073329, 1.2064218, 1.2054488,
1.2044234, 1.2033554, 1.2022550, 1.2011330, 1.2000000, 1.1988670,
1.1977450, 1.1966446, 1.1955766, 1.1945512, 1.1935782, 1.1926671,
1.1918266, 1.1910649, 1.1903891, 1.1898060, 1.1893210, 1.1889388,
1.1886632, 1.1884967, 1.1884410, 1.1884967, 1.1886631, 1.1889387,
1.1893209, 1.1898058, 1.1903890, 1.1910647, 1.1918265, 1.1926670,
1.1935781, 1.1945511, 1.1955765, 1.1966446, 1.1977449, 1.1988670,
1.2000000, 1.2011330, 1.2022551, 1.2033554, 1.2044235, 1.2054489,
1.2064219, 1.2073330, 1.2081735, 1.2089353, 1.2096110, 1.2101942,
1.2106791, 1.2110613, 1.2113369, 1.2115033, 1.2115590
]
elats = [
3.3999999, 3.3988689, 3.3977489, 3.3966505, 3.3955843, 3.3945607,
3.3935894, 3.3926799, 3.3918409, 3.3910805, 3.3904060, 3.3898238,
3.3893397, 3.3889582, 3.3886831, 3.3885169, 3.3884614, 3.3885169,
3.3886831, 3.3889582, 3.3893397, 3.3898238, 3.3904060, 3.3910805,
3.3918409, 3.3926799, 3.3935894, 3.3945607, 3.3955843, 3.3966505,
3.3977489, 3.3988689, 3.3999999, 3.4011309, 3.4022510, 3.4033494,
3.4044156, 3.4054392, 3.4064105, 3.4073200, 3.4081590, 3.4089194,
3.4095940, 3.4101761, 3.4106603, 3.4110418, 3.4113169, 3.4114831,
3.4115386, 3.4114831, 3.4113169, 3.4110418, 3.4106603, 3.4101761,
3.4095940, 3.4089194, 3.4081590, 3.4073200, 3.4064105, 3.4054392,
3.4044156, 3.4033494, 3.4022510, 3.4011309, 3.3999999
]
numpy.testing.assert_allclose(polygon.lons, elons)
numpy.testing.assert_allclose(polygon.lats, elats)
def test02(self):
""" Increases the complexity of the surface; because of the surface
geometry, the floating factor only impacts the along-strike sampling
and only for some magnitudes """
profiles = [Line([Point(0.0, 0.0, 0.0), Point(0.0, 0.001, 15.0)]),
Line([Point(0.1, 0.0, 0.0), Point(0.1, 0.010, 12.0)]),
Line([Point(0.2, 0.0, 0.0), Point(0.2, 0.020, 9.0)]),
Line([Point(0.3, 0.0, 0.0), Point(0.3, 0.030, 6.0)])]
mfd = TruncatedGRMFD(a_val=0.5, b_val=1.0, min_mag=5.8, max_mag=6.2,
bin_width=0.1)
source = self._make_source(mfd=mfd, aspect_ratio=1.5,
profiles=profiles)
msg = 'Wrong number of ruptures'
self.assertEqual(source.count_ruptures(), 25, msg)
if MAKE_MOVIES:
ruptures = [r for r in source.iter_ruptures()]
self._ruptures_animation('test02', source.surface, ruptures,
source.profiles)
def _get_rupture(self,
min_mag,
max_mag,
hypocenter_depth,
aspect_ratio,
dip,
rupture_mesh_spacing,
upper_seismogenic_depth=2,
lower_seismogenic_depth=16):
source_id = name = 'test-source'
trt = TRT.ACTIVE_SHALLOW_CRUST
mfd = TruncatedGRMFD(a_val=2,
b_val=1,
min_mag=min_mag,
max_mag=max_mag,
bin_width=1)
location = Point(0, 0)
nodal_plane = NodalPlane(strike=45, dip=dip, rake=-123.23)
nodal_plane_distribution = PMF([(1, nodal_plane)])
hypocenter_distribution = PMF([(1, hypocenter_depth)])
magnitude_scaling_relationship = PeerMSR()
rupture_aspect_ratio = aspect_ratio
tom = PoissonTOM(time_span=50)
point_source = PointSource(
source_id, name, trt, mfd, rupture_mesh_spacing,
magnitude_scaling_relationship, rupture_aspect_ratio, tom,
upper_seismogenic_depth, lower_seismogenic_depth, location,
nodal_plane_distribution, hypocenter_distribution)
ruptures = list(point_source.iter_ruptures())
self.assertEqual(len(ruptures), 1)
[rupture] = ruptures
self.assertIs(rupture.temporal_occurrence_model, tom)
self.assertIs(rupture.tectonic_region_type, trt)
self.assertEqual(rupture.rake, nodal_plane.rake)
self.assertIsInstance(rupture.surface, PlanarSurface)
self.assertEqual(rupture.surface.mesh_spacing, rupture_mesh_spacing)
return rupture
def test_get_total_moment_rate(self):
mfd = TruncatedGRMFD(min_mag=6.0, max_mag=8.0, bin_width=0.1,
a_val=-17.2, b_val=0.4)
self.assertAlmostEqual(mfd._get_total_moment_rate(), 1.6140553)
def test_get_total_moment_rate_when_b_equal_to_1_5(self):
# pylint: disable=invalid-name
mfd = TruncatedGRMFD(min_mag=6.0, max_mag=8.0, bin_width=0.1,
a_val=-9.4, b_val=1.5)
self.assertAlmostEqual(mfd._get_total_moment_rate(), 1.3400508)
def test_areasource(self):
nodalplane = NodalPlane(strike=0.0, dip=90.0, rake=0.0)
src = AreaSource(source_id='src_1',
name='area source',
tectonic_region_type='Active Shallow Crust',
mfd=TruncatedGRMFD(a_val=3.5,
b_val=1.0,
min_mag=5.0,
max_mag=6.5,
bin_width=0.1),
nodal_plane_distribution=PMF([(1.0, nodalplane)]),
hypocenter_distribution=PMF([(1.0, 5.0)]),
upper_seismogenic_depth=0.0,
lower_seismogenic_depth=10.0,
magnitude_scaling_relationship=WC1994(),
rupture_aspect_ratio=1.0,
polygon=Polygon([
Point(-0.5, -0.5),
Point(-0.5, 0.5),
Point(0.5, 0.5),
Point(0.5, -0.5)
]),
area_discretization=9.0,
rupture_mesh_spacing=1.0,
temporal_occurrence_model=PoissonTOM(50.))
site = Site(location=Point(0.0, 0.0),
vs30=800.0,
vs30measured=True,
z1pt0=500.0,
z2pt5=2.0)
gsims = {'Active Shallow Crust': BooreAtkinson2008()}
imt = SA(period=0.1, damping=5.0)
iml = 0.2
truncation_level = 3.0
n_epsilons = 3
mag_bin_width = 0.2
# in km
dist_bin_width = 10.0
# in decimal degree
coord_bin_width = 0.2
# compute disaggregation
bin_edges, diss_matrix = disagg.disaggregation(
[src], site, imt, iml, gsims, truncation_level, n_epsilons,
mag_bin_width, dist_bin_width, coord_bin_width)
mag_bins, dist_bins, lon_bins, lat_bins, eps_bins, trt_bins = bin_edges
numpy.testing.assert_almost_equal(
mag_bins, [5., 5.2, 5.4, 5.6, 5.8, 6., 6.2, 6.4, 6.6])
numpy.testing.assert_almost_equal(
dist_bins, [0., 10., 20., 30., 40., 50., 60., 70., 80.])
numpy.testing.assert_almost_equal(
lat_bins, [-0.6, -0.4, -0.2, 0., 0.2, 0.4, 0.6])
numpy.testing.assert_almost_equal(
lon_bins, [-0.6, -0.4, -0.2, 0., 0.2, 0.4, 0.6])
numpy.testing.assert_almost_equal(eps_bins, [-3., -1., 1., 3.])
self.assertEqual(trt_bins, ['Active Shallow Crust'])
expected_matrix = numpy.fromstring(
codecs.decode(
codecs.decode(
b"""\
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""", 'base64'), 'zip')).reshape((8, 8, 6, 6, 3, 1))
numpy.testing.assert_almost_equal(diss_matrix, expected_matrix)
class StochasticEventSetTestCase(unittest.TestCase):
def setUp(self):
# time span of 10 million years
self.time_span = 10e6
nodalplane = NodalPlane(strike=0.0, dip=90.0, rake=0.0)
self.mfd = TruncatedGRMFD(a_val=3.5,
b_val=1.0,
min_mag=5.0,
max_mag=6.5,
bin_width=0.1)
# area source of circular shape with radius of 100 km
# centered at 0., 0.
self.area1 = AreaSource(
source_id='src_1',
name='area source',
tectonic_region_type='Active Shallow Crust',
mfd=self.mfd,
nodal_plane_distribution=PMF([(1.0, nodalplane)]),
hypocenter_distribution=PMF([(1.0, 5.0)]),
upper_seismogenic_depth=0.0,
lower_seismogenic_depth=10.0,
magnitude_scaling_relationship=WC1994(),
rupture_aspect_ratio=1.0,
polygon=Point(0., 0.).to_polygon(100.),
area_discretization=9.0,
rupture_mesh_spacing=1.0,
temporal_occurrence_model=PoissonTOM(self.time_span))
# area source of circular shape with radius of 100 km
# centered at 1., 1.
self.area2 = AreaSource(
source_id='src_1',
name='area source',
tectonic_region_type='Active Shallow Crust',
mfd=self.mfd,
nodal_plane_distribution=PMF([(1.0, nodalplane)]),
hypocenter_distribution=PMF([(1.0, 5.0)]),
upper_seismogenic_depth=0.0,
lower_seismogenic_depth=10.0,
magnitude_scaling_relationship=WC1994(),
rupture_aspect_ratio=1.0,
polygon=Point(5., 5.).to_polygon(100.),
area_discretization=9.0,
rupture_mesh_spacing=1.0,
temporal_occurrence_model=PoissonTOM(self.time_span))
# non-parametric source
self.np_src, _ = make_non_parametric_source()
def _extract_rates(self, ses, time_span, bins):
"""
Extract annual rates of occurence from stochastic event set
"""
rates, _ = numpy.histogram([r.mag for r in ses], bins=bins)
return rates / time_span
def test_ses_generation_from_parametric_source(self):
# generate stochastic event set (SES) from area source with given
# magnitude frequency distribution (MFD). Check that the MFD as
# obtained from the SES (by making an histogram of the magnitude values
# and normalizing by the total duration of the event set) is
# approximately equal to the original MFD.
numpy.random.seed(123)
ses = stochastic_event_set([self.area1])
rates = self._extract_rates(ses,
time_span=self.time_span,
bins=numpy.arange(5., 6.6, 0.1))
expect_rates = numpy.array(
[r for m, r in self.mfd.get_annual_occurrence_rates()])
numpy.testing.assert_allclose(rates, expect_rates, rtol=0, atol=1e-4)
def test_ses_generation_from_parametric_source_with_filtering(self):
# generate stochastic event set (SES) from 2 area sources (area1,
# area2). However, by including a single site co-located with the
# area1 center, and with source site filtering of 100 km (exactly
# the radius of area1), the second source (area2), which is centered
# at 5., 5. (that is about 500 km from center of area1), will be
# excluded. the MFD from the SES will be therefore approximately equal
# to the one of area1 only.
numpy.random.seed(123)
sites = SiteCollection([
Site(location=Point(0., 0.),
vs30=760,
vs30measured=True,
z1pt0=40.,
z2pt5=2.)
])
ses = stochastic_event_set([self.area1, self.area2],
filters.SourceFilter(
sites,
filters.MagDepDistance.new('100')))
rates = self._extract_rates(ses,
time_span=self.time_span,
bins=numpy.arange(5., 6.6, 0.1))
expect_rates = numpy.array(
[r for m, r in self.mfd.get_annual_occurrence_rates()])
numpy.testing.assert_allclose(rates, expect_rates, rtol=0, atol=1e-4)
def test_ses_generation_from_non_parametric_source(self):
# np_src contains two ruptures: rup1 (of magnitude 5) and rup2 (of
# magnitude 6)
# rup1 has probability of zero occurences of 0.7 and of one
# occurrence of 0.3
# rup2 has probability of zero occurrence of 0.7, of one occurrence of
# 0.2 and of two occurrences of 0.1
# the test generate multiple SESs. From the ensamble of SES the
# probability of 0, 1, and 2, rupture occurrences is computed and
# compared with the expected value
numpy.random.seed(123)
num_sess = 10000
sess = [stochastic_event_set([self.np_src]) for i in range(num_sess)]
# loop over ses. For each ses count number of rupture
# occurrences (for each magnitude)
n_rups1 = {}
n_rups2 = {}
for i, ses in enumerate(sess):
n_rups1[i] = 0
n_rups2[i] = 0
for rup in ses:
if rup.mag == 5.:
n_rups1[i] += 1
elif rup.mag == 6.:
n_rups2[i] += 1
# count how many SESs have 0,1 or 2 occurrences, and then normalize
# by the total number of SESs generated. This gives the probability
# of having 0, 1 or 2 occurrences
n_occs1 = numpy.fromiter(n_rups1.values(), int)
n_occs2 = numpy.fromiter(n_rups2.values(), int)
p_occs1_0 = (n_occs1 == 0).sum() / num_sess
p_occs1_1 = (n_occs1 == 1).sum() / num_sess
p_occs2_0 = (n_occs2 == 0).sum() / num_sess
p_occs2_1 = (n_occs2 == 1).sum() / num_sess
p_occs2_2 = (n_occs2 == 2).sum() / num_sess
self.assertAlmostEqual(p_occs1_0, 0.70, places=2)
self.assertAlmostEqual(p_occs1_1, 0.30, places=2)
self.assertAlmostEqual(p_occs2_0, 0.70, places=2)
self.assertAlmostEqual(p_occs2_1, 0.20, places=2)
self.assertAlmostEqual(p_occs2_2, 0.10, places=2)
def test_set_a(self):
mfd = TruncatedGRMFD(min_mag=6.0, max_mag=8.0, bin_width=0.1,
a_val=1.5, b_val=0.5)
mfd._set_a(123.45)
self.assertAlmostEqual(mfd.a_val, -14.6531141)
def test_set_a_when_b_equal_to_1_5(self):
mfd = TruncatedGRMFD(min_mag=6.0, max_mag=8.0, bin_width=0.1,
a_val=1.5, b_val=1.5)
mfd._set_a(12.45)
self.assertAlmostEqual(mfd.a_val, -8.4319519)
class StochasticEventSetTestCase(unittest.TestCase):
def setUp(self):
# time span of 10 million years
self.time_span = 10e6
nodalplane = NodalPlane(strike=0.0, dip=90.0, rake=0.0)
self.mfd = TruncatedGRMFD(a_val=3.5, b_val=1.0, min_mag=5.0,
max_mag=6.5, bin_width=0.1)
# area source of circular shape with radius of 100 km
# centered at 0., 0.
self.area1 = AreaSource(
source_id='src_1',
name='area source',
tectonic_region_type='Active Shallow Crust',
mfd=self.mfd,
nodal_plane_distribution=PMF([(1.0, nodalplane)]),
hypocenter_distribution=PMF([(1.0, 5.0)]),
upper_seismogenic_depth=0.0,
lower_seismogenic_depth=10.0,
magnitude_scaling_relationship=WC1994(),
rupture_aspect_ratio=1.0,
polygon=Point(0., 0.).to_polygon(100.),
area_discretization=9.0,
rupture_mesh_spacing=1.0,
temporal_occurrence_model=PoissonTOM(self.time_span)
)
# area source of circular shape with radius of 100 km
# centered at 1., 1.
self.area2 = AreaSource(
source_id='src_1',
name='area source',
tectonic_region_type='Active Shallow Crust',
mfd=self.mfd,
nodal_plane_distribution=PMF([(1.0, nodalplane)]),
hypocenter_distribution=PMF([(1.0, 5.0)]),
upper_seismogenic_depth=0.0,
lower_seismogenic_depth=10.0,
magnitude_scaling_relationship=WC1994(),
rupture_aspect_ratio=1.0,
polygon=Point(5., 5.).to_polygon(100.),
area_discretization=9.0,
rupture_mesh_spacing=1.0,
temporal_occurrence_model=PoissonTOM(self.time_span)
)
# non-parametric source
self.np_src, _ = make_non_parametric_source()
def _extract_rates(self, ses, time_span, bins):
"""
Extract annual rates of occurence from stochastic event set
"""
mags = []
for r in ses:
mags.append(r.mag)
rates, _ = numpy.histogram(mags, bins=bins)
rates = rates / time_span
return rates
def test_ses_generation_from_parametric_source(self):
# generate stochastic event set (SES) from area source with given
# magnitude frequency distribution (MFD). Check that the MFD as
# obtained from the SES (by making an histogram of the magnitude values
# and normalizing by the total duration of the event set) is
# approximately equal to the original MFD.
numpy.random.seed(123)
ses = stochastic_event_set([self.area1])
rates = self._extract_rates(ses, time_span=self.time_span,
bins=numpy.arange(5., 6.6, 0.1))
expect_rates = numpy.array(
[r for m, r in self.mfd.get_annual_occurrence_rates()]
)
numpy.testing.assert_allclose(rates, expect_rates, rtol=0, atol=1e-4)
def test_ses_generation_from_parametric_source_with_filtering(self):
# generate stochastic event set (SES) from 2 area sources (area1,
# area2). However, by including a single site co-located with the
# area1 center, and with source site filtering of 100 km (exactly
# the radius of area1), the second source (area2), which is centered
# at 5., 5. (that is about 500 km from center of area1), will be
# excluded. the MFD from the SES will be therefore approximately equal
# to the one of area1 only.
numpy.random.seed(123)
sites = SiteCollection([
Site(
location=Point(0., 0.), vs30=760, vs30measured=True,
z1pt0=40., z2pt5=2.
)
])
ses = stochastic_event_set(
[self.area1, self.area2],
sites=sites,
source_site_filter=filters.SourceFilter(sites, 100.)
)
rates = self._extract_rates(ses, time_span=self.time_span,
bins=numpy.arange(5., 6.6, 0.1))
expect_rates = numpy.array(
[r for m, r in self.mfd.get_annual_occurrence_rates()]
)
numpy.testing.assert_allclose(rates, expect_rates, rtol=0, atol=1e-4)
def test_ses_generation_from_non_parametric_source(self):
# np_src contains two ruptures: rup1 (of magnitude 5) and rup2 (of
# magnitude 6)
# rup1 has probability of zero occurences of 0.7 and of one
# occurrence of 0.3
# rup2 has probability of zero occurrence of 0.7, of one occurrence of
# 0.2 and of two occurrences of 0.1
# the test generate multiple SESs. From the ensamble of SES the
# probability of 0, 1, and 2, rupture occurrences is computed and
# compared with the expected value
numpy.random.seed(123)
num_sess = 10000
sess = [stochastic_event_set([self.np_src]) for i in range(num_sess)]
# loop over ses. For each ses count number of rupture
# occurrences (for each magnitude)
n_rups1 = {}
n_rups2 = {}
for i, ses in enumerate(sess):
n_rups1[i] = 0
n_rups2[i] = 0
for rup in ses:
if rup.mag == 5.:
n_rups1[i] += 1
if rup.mag == 6.:
n_rups2[i] += 1
# count how many SESs have 0,1 or 2 occurrences, and then normalize
# by the total number of SESs generated. This gives the probability
# of having 0, 1 or 2 occurrences
n_occs1 = numpy.array(list(n_rups1.values()))
n_occs2 = numpy.array(list(n_rups2.values()))
p_occs1_0 = float(len(n_occs1[n_occs1 == 0])) / num_sess
p_occs1_1 = float(len(n_occs1[n_occs1 == 1])) / num_sess
p_occs2_0 = float(len(n_occs2[n_occs2 == 0])) / num_sess
p_occs2_1 = float(len(n_occs2[n_occs2 == 1])) / num_sess
p_occs2_2 = float(len(n_occs2[n_occs2 == 2])) / num_sess
self.assertAlmostEqual(p_occs1_0, 0.7, places=2)
self.assertAlmostEqual(p_occs1_1, 0.3, places=2)
self.assertAlmostEqual(p_occs2_0, 0.7, places=2)
self.assertAlmostEqual(p_occs2_1, 0.2, places=2)
self.assertAlmostEqual(p_occs2_2, 0.1, places=2)
