def _build_mock_recurrence_branches(self):
'''
Given the mock branches return information necessary to define a
collapse model
'''
# Build test data
mags = COLLAPSE_DATA[0, :-1]
weights = COLLAPSE_DATA[1:-1, -1]
rates = COLLAPSE_DATA[1:-1:, :-1]
expected_rate = COLLAPSE_DATA[-1, :-1]
test_fault = mtkActiveFault('001', 'A Fault', self.simple_fault,
[(5.0, 1.0)], 0., None)
test_fault.mfd_models = []
for (iloc, weight) in enumerate(weights):
idx = rates[iloc, :] > 0
model = RecurrenceBranch(None,
None,
None,
None,
None,
weight=weight)
model.recurrence = IncrementalMFD(np.min(rates[iloc, idx]), 0.1,
rates[iloc, idx])
model.magnitudes = mags[idx]
test_fault.mfd_models.append(model)
return test_fault, expected_rate, np.min(mags), np.max(mags), weights
def get_recurrence(self, config):
'''
Calculates the recurrence model for the given settings as
an instance of the openquake.hmtk.models.IncrementalMFD
:param dict config:
Configuration settings of the magnitude frequency distribution.
'''
model = MFD_MAP[config['Model_Name']]()
model.setUp(config)
model.get_mmax(config, self.msr, self.rake, self.area)
model.mmax = model.mmax + (self.msr_sigma * model.mmax_sigma)
# As the Anderson & Luco arbitrary model requires the input of the
# displacement to length ratio
if 'AndersonLucoAreaMmax' in config['Model_Name']:
if not self.disp_length_ratio:
# If not defined then default to 1.25E-5
self.disp_length_ratio = 1.25E-5
min_mag, bin_width, occur_rates = model.get_mfd(
self.slip, self.area, self.shear_modulus,
self.disp_length_ratio)
else:
min_mag, bin_width, occur_rates = model.get_mfd(
self.slip, self.area, self.shear_modulus)
self.recurrence = IncrementalMFD(min_mag, bin_width, occur_rates)
self.magnitudes = min_mag + np.cumsum(
bin_width * np.ones(len(occur_rates), dtype=float)) - bin_width
self.max_mag = np.max(self.magnitudes)
def collapse_branches(self, mmin, bin_width, mmax):
'''
Collapse the logic tree branches into a single IncrementalMFD
:param float mmin:
Minimum magnitude of reference mfd
:param float bin_width:
Bin width of reference mfd
:param float mmax:
Maximum magnitude of reference mfd
:returns:
:class: openquake.hmtk.models.IncrementalMFD
'''
master_mags = np.arange(mmin, mmax + (bin_width / 2.), bin_width)
master_rates = np.zeros(len(master_mags), dtype=float)
for model in self.mfd_models:
id0 = np.logical_and(
master_mags >= np.min(model.magnitudes) - 1E-9,
master_mags <= np.max(model.magnitudes) + 1E-9)
# Use interpolation in log10-y values
yvals = np.log10(model.recurrence.occur_rates)
interp_y = np.interp(master_mags[id0], model.magnitudes, yvals)
master_rates[id0] = master_rates[id0] + (model.weight *
10.**interp_y)
return IncrementalMFD(mmin, bin_width, master_rates)
def generate_recurrence_models(
self, collapse=False, bin_width=0.1,
config=None, rendered_msr=None):
'''
Iterates over the lists of values defining epistemic uncertainty
in the parameters and calculates the corresponding recurrence model
At present epistemic uncertainty is supported for: 1) slip rate,
2) magnitude scaling relation, 3) shear modulus, 4) displacement
to length ratio) and 5) recurrence model.
:param list config:
List of MFD model configurations
:param bool collapse:
Boolean flag indicating whether to collapse the logic tree branches
:param float bin_width:
If collapsing the logic tree branches the reference mfd must be
defined. The minimum and maximum magnitudes are updated from the
model, but the bin width must be specified here
:param list/dict config:
Configuration (or sets of configurations) of the recurrence
calculations
:param rendered_msr:
If collapsing the logic tree branches a resulting magnitude
scaling relation must be defined as instance of
:class: openquake.hazardlib.scalerel.base.BaseASR
'''
if collapse and not rendered_msr:
raise ValueError('Collapsing logic tree branches requires input '
'of a single msr for rendering sources')
# Generate a set of tuples with corresponding weights
if config is not None:
self.generate_config_set(config)
if not isinstance(self.config, list):
raise ValueError('MFD configuration missing or incorrectly '
'formatted')
# Generate the branching index
branch_index, _number_branches = self._generate_branching_index()
mmin = np.inf
mmax = -np.inf
for idx in branch_index:
tuple_list = []
# Get slip
tuple_list.append(self.slip[idx[0]])
# Get msr
tuple_list.append(self.msr[idx[1]])
# Get shear modulus
tuple_list.append(self.shear_modulus[idx[2]])
# Get displacement length ratio
tuple_list.append(self.disp_length_ratio[idx[3]])
# Get msr sigma
tuple_list.append(self.msr_sigma[idx[4]])
# Get config
tuple_list.append(self.config[idx[5]])
# Calculate branch weight as product of tuple weights
branch_weight = np.prod(np.array([val[1] for val in tuple_list]))
# Instantiate recurrence model
model = RecurrenceBranch(self.area,
tuple_list[0][0],
tuple_list[1][0],
self.rake,
tuple_list[2][0],
tuple_list[3][0],
tuple_list[4][0],
weight=branch_weight)
model.get_recurrence(tuple_list[5][0])
self.mfd_models.append(model)
# Update the total minimum and maximum magnitudes for the fault
if model.recurrence.min_mag < mmin:
mmin = model.recurrence.min_mag
if np.max(model.magnitudes) > mmax:
mmax = np.max(model.magnitudes)
if collapse:
self.mfd = ([self.collapse_branches(mmin, bin_width, mmax)],
[1.0],
[rendered_msr])
else:
mfd_mods = []
mfd_wgts = []
mfd_msr = []
for model in self.mfd_models:
mfd_mods.append(IncrementalMFD(model.recurrence.min_mag,
model.recurrence.bin_width,
model.recurrence.occur_rates))
mfd_wgts.append(model.weight)
mfd_msr.append(model.msr)
self.mfd = (mfd_mods, mfd_wgts, mfd_msr)