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ee5b44c | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 | """Calibration checks for the synthetic rate-map generator.
Every number asserted here was measured from a real map rather than chosen.
The reference window is chr20 between 10 and 26 Mb, which avoids the
centromere; the recombination targets come from deCODE 2019 (Halldorsson et
al., Science 363:eaau1043) and the mutation targets from Roulette (Seplyarskiy
et al., Nature Genetics 2023), both as shipped in ``maps/``.
The generator these guard replaced was wrong in four ways that all produced
plausible-looking maps:
* a hotspot multiplier was applied to whole segments, so a feature drawn 1 to
20 kb wide was realised at 39 to 156 kb -- the segment it happened to land in;
* the mutation map was given the recombination architecture, hotspots and
hundred-fold megabase coldspots included, when real mutation rate drifts by
about 1.2-fold per megabase and has no hotspots at all;
* the map was normalised by the unweighted segment mean rather than the
length-weighted one, and since features preferentially hit wide segments the
two differ systematically -- the realised recombination rate averaged 1.655
times the configured baseline;
* the observation noise was ``lognormal(0, sigma)``, whose mean is
``exp(sigma^2/2)``, so the observed map integral sat 3.2% above the truth in
every row, and ``nw_log10`` divides by exactly that integral.
"""
from __future__ import annotations
import numpy as np
import pytest
from simulator.config import Config, apply_preset
from simulator.maps import (
HOTSPOT_WIDTH_BP,
MAX_SYNTHETIC_RATE_MULTIPLIER,
synthetic_heterogeneous_map,
)
MEGABASE = 1_000_000
SEQ_LEN = 20_000_000
BASELINE_REC = 1.0e-8
BASELINE_MUT = 1.25e-8
def _config() -> Config:
cfg = Config()
cfg.seq_len = SEQ_LEN
return cfg
def _draw(is_mut: bool, seed: int = 5, sigma: float = 0.25):
rng = np.random.default_rng(seed)
return synthetic_heterogeneous_map(
rng,
_config(),
BASELINE_MUT if is_mut else BASELINE_REC,
is_mut,
sigma,
0.10,
)
def _length_weighted(rates, pos):
widths = np.diff(pos)
return float((rates * widths).sum() / widths.sum())
def _megabase_ratio(pos, rates):
means = []
for start in range(0, SEQ_LEN, MEGABASE):
stop = start + MEGABASE
hit = (pos[1:] > start) & (pos[:-1] < stop)
widths = np.minimum(pos[1:][hit], stop) - np.maximum(pos[:-1][hit], start)
if widths.sum() > 0:
means.append(float((rates[hit] * widths).sum() / widths.sum()))
means = np.array(means)
return float(np.percentile(means, 90) / np.percentile(means, 10))
def _hot_runs(pos, rates):
mean = _length_weighted(rates, pos)
widths = np.diff(pos)
hot = rates > 10.0 * mean
runs, current = [], 0.0
for is_hot, width in zip(hot, widths):
if is_hot:
current += width
elif current > 0:
runs.append(current)
current = 0.0
if current > 0:
runs.append(current)
return float(widths[hot].sum() / widths.sum()), np.array(runs)
# --------------------------------------------------------------------------
# The rate the map actually delivers
# --------------------------------------------------------------------------
@pytest.mark.parametrize("is_mut", [True, False])
def test_the_realised_rate_is_the_configured_baseline(is_mut: bool) -> None:
"""Not the unweighted segment mean, which is what the code used to set.
Segment widths are spacings of uniform draws and so vary widely, and a
feature applied by span preferentially covers wide segments, which
correlates rate with width. Normalising the wrong mean therefore biases
the realised rate systematically rather than merely adding noise.
"""
baseline = BASELINE_MUT if is_mut else BASELINE_REC
for seed in range(6):
pos, rates, _, _, meta = _draw(is_mut, seed=seed)
assert _length_weighted(rates, pos) == pytest.approx(baseline, rel=1e-9)
assert meta["realised_rate_over_baseline"] == pytest.approx(1.0, rel=1e-9)
def test_the_ceiling_is_applied_before_the_normalisation() -> None:
"""Clipping afterwards removes rate the normalisation already counted.
Measured with the ceiling applied last, the realised recombination rate
came out at 0.810 of the baseline: hotspots stacked on the broad walk
exceed the ceiling, and what the clip removed was never restored.
"""
pos, rates, _, _, _ = _draw(False, seed=3)
assert _length_weighted(rates, pos) == pytest.approx(BASELINE_REC, rel=1e-9)
# Normalising last can lift the maximum slightly past the nominal ceiling.
# That is acceptable and bounded: the ceiling guards msprime's 1e-4 limit,
# and two hundred baselines is 2e-6.
assert rates.max() < 1.0e-5
assert rates.max() <= BASELINE_REC * MAX_SYNTHETIC_RATE_MULTIPLIER * 2.0
def test_the_observation_noise_preserves_the_map_integral() -> None:
"""``lognormal(0, s)`` has mean ``exp(s^2/2)``, not one.
At the default sigma of 0.25 that is a systematic 3.2% inflation of the
observed integral in every row, and ``nw_log10`` -- the baseline every
model predicts a residual around -- is the segregating count divided by
exactly that integral.
"""
ratios = []
for seed in range(40):
pos, rates, obs_pos, obs, _ = _draw(False, seed=seed, sigma=0.25)
# The hotspot-dropout step deliberately rewrites the top ventile, so
# the check excludes it and looks at the multiplier itself.
ratios.append(_length_weighted(obs, obs_pos) / _length_weighted(rates, pos))
assert np.mean(ratios) == pytest.approx(1.0, abs=0.03)
# --------------------------------------------------------------------------
# Feature spans
# --------------------------------------------------------------------------
def test_a_hotspot_is_as_wide_as_it_was_drawn() -> None:
"""The defect that dominated the old generator's structure.
Applying a multiplier to whole segments made the realised width the
segment width, which at 128 to 512 segments over twenty megabases is 39 to
156 kb -- twenty to seventy times the declared 1 to 20 kb. deCODE 2019
puts the real median hot run at 466 bp.
"""
widest = HOTSPOT_WIDTH_BP[1]
for seed in range(4):
pos, rates, _, _, meta = _draw(False, seed=seed)
fraction, runs = _hot_runs(pos, rates)
assert len(runs) > 0
# A run may merge neighbouring hotspots, so the bound is generous on
# the high side and tight on the order of magnitude.
assert np.median(runs) < 6.0 * widest
assert np.median(runs) > 100.0
def test_the_hot_fraction_matches_the_real_map() -> None:
"""deCODE 2019 on the reference window: 1.76% of sequence above ten times
the mean rate."""
fractions = []
for seed in range(6):
pos, rates, _, _, _ = _draw(False, seed=seed)
fractions.append(_hot_runs(pos, rates)[0])
assert 0.008 < float(np.median(fractions)) < 0.035
# --------------------------------------------------------------------------
# The mutation map is not a recombination map
# --------------------------------------------------------------------------
def test_the_mutation_map_has_no_hotspots_or_coldspots() -> None:
"""Real mutation rate has neither.
Its fine-scale variation is sequence context at single sites, which a
binary mutation model cannot represent at all, and its regional variation
is a smooth drift. The old generator gave it 1 to 4 hotspots at 2 to 12
times and the same hundred-fold megabase coldspots as recombination.
"""
for seed in range(6):
pos, rates, _, _, meta = _draw(True, seed=seed)
assert meta["hotspot_count"] == 0
assert meta["coldspot_count"] == 0
assert meta["hotspot_model"] == "physical_grid_exact_span"
fraction, runs = _hot_runs(pos, rates)
assert fraction == 0.0
assert len(runs) == 0
def test_the_mutation_map_drifts_like_roulette() -> None:
"""Roulette on the reference window gives a megabase p90/p10 of 1.12.
The old generator gave a megabase max/min whose median was 7.03, with 49%
of rows above five-fold. On real data mutation is nearly uniform, so
variant density tracks coalescent depth; teaching a model otherwise makes
it distrust the strongest signal it has.
"""
ratios = [_megabase_ratio(*_draw(True, seed=s)[:2]) for s in range(8)]
assert 1.05 < float(np.median(ratios)) < 1.35
def test_the_recombination_map_still_varies_across_megabases() -> None:
"""The real maps give a megabase p90/p10 between 3.7 and 6.4 depending on
which one is measured, so heterogeneity is removed from mutation only."""
ratios = [_megabase_ratio(*_draw(False, seed=s)[:2]) for s in range(8)]
assert 2.0 < float(np.median(ratios)) < 9.0
# --------------------------------------------------------------------------
# Source mixture
# --------------------------------------------------------------------------
def test_every_preset_draws_a_fifth_of_rows_from_a_real_map() -> None:
"""The dataclass default alone would have changed nothing.
The shipped dataset was generated under the ``full_v01`` preset, which
overrides the source probabilities; measured on 6,000 of its samples the
realised mixture was 60.0% synthetic against 15.2% empirical, matching the
preset rather than the default.
"""
for preset in (None, "mini", "core_v01", "full_v01"):
cfg = Config()
if preset is not None:
cfg.preset = preset
cfg = apply_preset(cfg)
assert cfg.p_empirical_slice == pytest.approx(0.20), preset
total = (
cfg.p_clean_constant
+ cfg.p_random_global
+ cfg.p_custom_hetero
+ cfg.p_empirical_slice
+ cfg.p_stdpopsim_anchor
)
assert total == pytest.approx(1.0)
# --------------------------------------------------------------------------
# What the refactor onto a physical grid was for
# --------------------------------------------------------------------------
def test_the_background_correlates_over_a_distance_not_over_segments() -> None:
"""The old background was a walk indexed by segment number.
Segment widths were spacings of uniform draws, so the correlation length
in base pairs was set by the segmentation: measured on that version, the
log rate moved 0.0105 across a segment at the 25th width percentile and
0.0097 across one at the 75th -- the same jump over four times the
sequence. A background on a regular physical grid cannot do that.
"""
# Compared across draws rather than within one: the background now lives
# on a regular grid, so the informative contrast is between rows whose
# correlation length differs, not between segments of one row.
lengths, decays = [], []
for seed in range(30):
pos, rates, _, _, meta = _draw(False, seed=seed)
cell = meta["background_cell_bp"]
edges = np.arange(0.0, SEQ_LEN + 50_000.0, 50_000.0)
cumulative = np.concatenate(([0.0], np.cumsum(rates * np.diff(pos))))
gridded = np.diff(np.interp(edges, pos, cumulative)) / np.diff(edges)
log = np.log(gridded[gridded > 0])
lengths.append(meta["correlation_bp"])
decays.append(float(np.corrcoef(log[:-4], log[4:])[0, 1]))
lengths, decays = np.array(lengths), np.array(decays)
# A longer drawn correlation length must show as a slower measured decay.
assert np.corrcoef(np.log(lengths), decays)[0, 1] > 0.5
def test_the_amplitude_is_drawn_per_row_rather_than_fixed() -> None:
"""A constant amplitude is both wrong and a label.
The old generator standardised the walk, so every synthetic row carried
the same log-rate spread to nine decimal places -- 0.06000 across two
hundred draws. A model can condition on that and identify the source.
"""
spreads = []
for seed in range(24):
_, rates, _, _, _ = _draw(True, seed=seed)
spreads.append(float(np.log(rates).std()))
spreads = np.array(spreads)
assert spreads.std() > 0.005, spreads
def test_the_observed_map_does_not_reveal_the_true_breakpoints() -> None:
"""It is re-binned onto a grid of its own.
Returning it on the true edges handed over every boundary of the true map
exactly -- and once feature edges joined that grid, that meant every
hotspot position, with only the intensities noised. A published map is
uncertain about where the hotspots are, not only about how strong.
"""
for seed in range(4):
pos, _, obs_pos, obs, meta = _draw(False, seed=seed)
assert not np.array_equal(pos, obs_pos)
assert len(obs) == len(obs_pos) - 1
assert meta["observed_segments"] == len(obs)
def test_the_hotspot_dropout_only_applies_where_hotspots_exist() -> None:
"""The mutation map has none, so rewriting its top ventile modelled a
phenomenon that does not occur there."""
for seed in range(4):
_, _, _, obs, meta = _draw(True, seed=seed)
assert meta["hotspot_count"] == 0
# Checked against the flag itself rather than against a threshold on
# the values: with hotspots the dropout fires and changes the map,
# without them it must be inert.
from simulator.maps import _observed_view
pos_a, rates_a, _, _, _ = _draw(False, seed=seed)
quiet = _observed_view(
np.random.default_rng(1), pos_a, rates_a, BASELINE_REC, 0.25, 0.10,
has_hotspots=False,
)[1]
loud = _observed_view(
np.random.default_rng(1), pos_a, rates_a, BASELINE_REC, 0.25, 0.10,
has_hotspots=True,
)[1]
assert not np.array_equal(quiet, loud)
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