diff --git a/malariagen_data/anoph/association.py b/malariagen_data/anoph/association.py new file mode 100644 index 000000000..d613400e6 --- /dev/null +++ b/malariagen_data/anoph/association.py @@ -0,0 +1,296 @@ +from typing import TYPE_CHECKING, Any, Callable, Optional, Sequence, Union + +import numpy as np +import pandas as pd +import plotly.express as px +import plotly.graph_objects as go +import xarray as xr +from scipy.stats import pointbiserialr # type: ignore + +from ..util import _check_types +from . import base_params + + +class AnophelesAssociationPlotting: + """Helpers for creating and plotting association test results.""" + + if TYPE_CHECKING: + phenotypes_with_snps: Callable[..., xr.Dataset] + + @_check_types + def association_results( + self, + data: xr.Dataset, + *, + genotype_col: str = "call_genotype", + phenotype_col: str = "phenotype_binary", + contig_col: str = "variant_contig", + position_col: str = "variant_position", + ) -> pd.DataFrame: + """Compute per-variant association p-values from SNP/phenotype data.""" + + required = (genotype_col, phenotype_col, contig_col, position_col) + missing = [v for v in required if v not in data] + if missing: + raise ValueError(f"Missing required variables in dataset: {missing}") + + genotype = np.asarray(data[genotype_col].values) + if genotype.ndim == 3: + dosage = np.where(genotype < 0, np.nan, genotype).sum(axis=2) + elif genotype.ndim == 2: + dosage = np.where(genotype < 0, np.nan, genotype).astype(float) + else: + raise ValueError( + f"{genotype_col!r} must have 2 or 3 dimensions, found {genotype.ndim}" + ) + + phenotype = np.asarray(data[phenotype_col].values, dtype=float) + if phenotype.ndim != 1: + raise ValueError(f"{phenotype_col!r} must be one-dimensional") + if dosage.shape[1] != phenotype.shape[0]: + raise ValueError( + "Genotype and phenotype sample dimensions do not align: " + f"{dosage.shape[1]} vs {phenotype.shape[0]}" + ) + + contig_values = np.asarray(data[contig_col].values) + if np.issubdtype(contig_values.dtype, np.integer) and "contigs" in data.coords: + contig_lookup = np.asarray(data.coords["contigs"].values, dtype="U") + contigs = np.asarray( + [ + contig_lookup[c] if 0 <= c < contig_lookup.shape[0] else str(c) + for c in contig_values + ], + dtype="U", + ) + else: + contigs = contig_values.astype("U") + + positions = np.asarray(data[position_col].values, dtype=int) + + n_variants = dosage.shape[0] + pvalues = np.full(n_variants, np.nan, dtype=float) + n_obs = np.zeros(n_variants, dtype=int) + + phenotype_valid = np.isfinite(phenotype) + for i in range(n_variants): + x = dosage[i] + mask = np.isfinite(x) & phenotype_valid + n_obs[i] = int(mask.sum()) + if n_obs[i] < 3: + continue + + x_valid = x[mask] + y_valid = phenotype[mask] + if np.unique(x_valid).size < 2 or np.unique(y_valid).size < 2: + continue + + _, pvalue = pointbiserialr(y_valid, x_valid) + pvalues[i] = float(pvalue) + + return pd.DataFrame( + { + "contig": contigs, + "position": positions, + "pvalue": pvalues, + "n_obs": n_obs, + } + ) + + @_check_types + def snp_phenotype_association( + self, + *, + region: base_params.region, + sample_sets: Optional[base_params.sample_sets] = None, + sample_query: Optional[base_params.sample_query] = None, + sample_query_options: Optional[base_params.sample_query_options] = None, + cohort_size: Optional[base_params.cohort_size] = None, + min_cohort_size: Optional[base_params.min_cohort_size] = None, + max_cohort_size: Optional[base_params.max_cohort_size] = None, + ) -> pd.DataFrame: + """Generate association results from phenotype/SNP data for plotting.""" + + ds = self.phenotypes_with_snps( + region=region, + sample_sets=sample_sets, + sample_query=sample_query, + sample_query_options=sample_query_options, + cohort_size=cohort_size, + min_cohort_size=min_cohort_size, + max_cohort_size=max_cohort_size, + ) + + if not isinstance(ds, xr.Dataset) or ds.sizes.get("variants", 0) == 0: + raise ValueError( + "No variant data available to compute association results." + ) + + return self.association_results(ds) + + @_check_types + def _association_results_to_dataframe( + self, + data: Union[pd.DataFrame, xr.Dataset], + required_columns: Sequence[str], + ) -> pd.DataFrame: + if isinstance(data, pd.DataFrame): + df = data.copy() + elif isinstance(data, xr.Dataset): + missing_vars = [c for c in required_columns if c not in data] + if missing_vars: + raise ValueError( + f"Missing required variables in xarray dataset: {missing_vars}" + ) + df = data[list(required_columns)].to_dataframe().reset_index() + else: + raise TypeError("data must be a pandas DataFrame or xarray Dataset") + + missing_cols = set(required_columns) - set(df.columns) + if missing_cols: + raise ValueError(f"Missing required columns: {sorted(missing_cols)}") + + return df + + @_check_types + def plot_manhattan( + self, + data: Union[pd.DataFrame, xr.Dataset], + *, + contig_col: str = "contig", + position_col: str = "position", + pvalue_col: str = "pvalue", + contig_order: Optional[Sequence[str]] = None, + contig_spacing: int = 1_000_000, + pvalue_threshold: Optional[float] = 5e-8, + width: int = 1000, + height: int = 500, + show: bool = True, + renderer: Optional[str] = None, + **kwargs: Any, + ) -> go.Figure: + df = self._association_results_to_dataframe( + data, + required_columns=(contig_col, position_col, pvalue_col), + ) + df = df[[contig_col, position_col, pvalue_col]].copy() + df = df.dropna(subset=[contig_col, position_col, pvalue_col]) + df = df[(df[pvalue_col] > 0) & (df[pvalue_col] <= 1)] + if df.empty: + raise ValueError("No valid p-values found for Manhattan plot.") + + if contig_order is None: + contigs = list(df[contig_col].astype(str).dropna().unique()) + else: + observed_contigs = set(df[contig_col].astype(str).dropna().unique()) + contigs = [c for c in contig_order if c in observed_contigs] + missing_from_order = observed_contigs - set(contigs) + contigs.extend(sorted(missing_from_order)) + + contig_offsets = {} + running_offset = 0.0 + tickvals = [] + ticktext = [] + + for contig in contigs: + df_contig = df[df[contig_col].astype(str) == contig] + min_pos = float(df_contig[position_col].min()) + max_pos = float(df_contig[position_col].max()) + contig_offsets[contig] = running_offset - min_pos + tickvals.append(running_offset + (max_pos - min_pos) / 2) + ticktext.append(contig) + running_offset += (max_pos - min_pos) + contig_spacing + + df["_contig"] = df[contig_col].astype(str) + df["_x"] = df[position_col].astype(float) + df["_contig"].map(contig_offsets) + df["_minus_log10_p"] = -np.log10(df[pvalue_col].astype(float)) + + fig = px.scatter( + df, + x="_x", + y="_minus_log10_p", + color="_contig", + labels={ + "_x": "Genomic position", + "_minus_log10_p": "-log10(p-value)", + "_contig": contig_col, + }, + width=width, + height=height, + template="simple_white", + **kwargs, + ) + fig.update_layout( + xaxis=dict(tickmode="array", tickvals=tickvals, ticktext=ticktext), + legend_title_text=contig_col, + ) + + if pvalue_threshold is not None and 0 < pvalue_threshold <= 1: + fig.add_hline( + y=-np.log10(pvalue_threshold), + line_dash="dash", + line_color="red", + ) + + if show: # pragma: no cover + fig.show(renderer=renderer) + return fig + + @_check_types + def plot_qq( + self, + data: Union[pd.DataFrame, xr.Dataset], + *, + pvalue_col: str = "pvalue", + width: int = 600, + height: int = 600, + show: bool = True, + renderer: Optional[str] = None, + **kwargs: Any, + ) -> go.Figure: + df = self._association_results_to_dataframe( + data, + required_columns=(pvalue_col,), + ) + pvals_series = df[pvalue_col].dropna().astype(float) + pvals_array = pvals_series[(pvals_series > 0) & (pvals_series <= 1)].to_numpy() + if pvals_array.size == 0: + raise ValueError("No valid p-values found for QQ plot.") + + pvals_array.sort() + observed = -np.log10(pvals_array) + expected = -np.log10( + np.arange(1, pvals_array.size + 1) / (pvals_array.size + 1) + ) + + fig = go.Figure() + fig.add_trace( + go.Scatter( + x=expected, + y=observed, + mode="markers", + name="Observed", + ) + ) + max_val = float(max(expected.max(), observed.max())) + fig.add_trace( + go.Scatter( + x=[0, max_val], + y=[0, max_val], + mode="lines", + name="Expected", + line=dict(dash="dash", color="red"), + ) + ) + fig.update_layout( + template="simple_white", + width=width, + height=height, + xaxis_title="Expected -log10(p-value)", + yaxis_title="Observed -log10(p-value)", + **kwargs, + ) + + if show: # pragma: no cover + fig.show(renderer=renderer) + return fig diff --git a/malariagen_data/anopheles.py b/malariagen_data/anopheles.py index 8342dbb88..bf5b29f43 100644 --- a/malariagen_data/anopheles.py +++ b/malariagen_data/anopheles.py @@ -41,6 +41,7 @@ from .anoph.fst import AnophelesFstAnalysis from .anoph.h12 import AnophelesH12Analysis from .anoph.h1x import AnophelesH1XAnalysis +from .anoph.association import AnophelesAssociationPlotting from .anoph.phenotypes import AnophelesPhenotypeData from .mjn import _median_joining_network, _mjn_graph from .anoph.hapclust import AnophelesHapClustAnalysis @@ -102,6 +103,7 @@ class AnophelesDataResource( AnophelesGenomeFeaturesData, AnophelesGenomeSequenceData, AnophelesDescribe, + AnophelesAssociationPlotting, AnophelesBase, AnophelesPhenotypeData, ): diff --git a/notebooks/plot_association_results.ipynb b/notebooks/plot_association_results.ipynb new file mode 100644 index 000000000..9ba5656ee --- /dev/null +++ b/notebooks/plot_association_results.ipynb @@ -0,0 +1,344 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "10542f3b", + "metadata": {}, + "source": [ + "# Manhattan/QQ Demo with Dummy Phenotype Data\n", + "\n", + "This notebook shows a minimal end-to-end workflow for the generic association plotting helpers added in PR #1017.\n", + "\n", + "Because real phenotype data are limited, we simulate a small binary phenotype dataset with synthetic genotype calls." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "d6cb1c04", + "metadata": { + "execution": { + "iopub.execute_input": "2026-03-03T16:45:57.415226Z", + "iopub.status.busy": "2026-03-03T16:45:57.409129Z", + "iopub.status.idle": "2026-03-03T16:46:31.560188Z", + "shell.execute_reply": "2026-03-03T16:46:31.547163Z" + } + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import xarray as xr\n", + "\n", + "from malariagen_data.anoph.association import AnophelesAssociationPlotting" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "ae87177d", + "metadata": { + "execution": { + "iopub.execute_input": "2026-03-03T16:46:31.588256Z", + "iopub.status.busy": "2026-03-03T16:46:31.576303Z", + "iopub.status.idle": "2026-03-03T16:46:31.756042Z", + "shell.execute_reply": "2026-03-03T16:46:31.748906Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Frozen({'variants': 400, 'samples': 200, 'ploidy': 2, 'contigs': 5})\n" + ] + } + ], + "source": [ + "class AssociationDemo(AnophelesAssociationPlotting):\n", + " pass\n", + "\n", + "\n", + "demo = AssociationDemo()\n", + "rng = np.random.default_rng(42)\n", + "\n", + "n_samples = 200\n", + "contigs = np.array([\"2L\", \"2R\", \"3L\", \"3R\", \"X\"])\n", + "variants_per_contig = 80\n", + "n_variants = len(contigs) * variants_per_contig\n", + "\n", + "variant_contig = np.repeat(np.arange(len(contigs), dtype=np.int8), variants_per_contig)\n", + "variant_position = np.concatenate([\n", + " np.arange(1, variants_per_contig + 1, dtype=np.int32) * 10_000\n", + " for _ in contigs\n", + "])\n", + "\n", + "call_genotype = rng.integers(0, 2, size=(n_variants, n_samples, 2), dtype=np.int8)\n", + "missing = rng.random(size=call_genotype.shape) < 0.01\n", + "call_genotype[missing] = -1\n", + "\n", + "signal_dosage = np.where(call_genotype[5] < 0, np.nan, call_genotype[5]).sum(axis=1)\n", + "signal_dosage += np.where(call_genotype[97] < 0, np.nan, call_genotype[97]).sum(axis=1)\n", + "signal_dosage = np.nan_to_num(signal_dosage, nan=0.0)\n", + "logit = -1.6 + 0.9 * signal_dosage\n", + "prob = 1 / (1 + np.exp(-logit))\n", + "phenotype_binary = (rng.random(n_samples) < prob).astype(np.int8)\n", + "\n", + "ds = xr.Dataset(\n", + " data_vars={\n", + " \"call_genotype\": ((\"variants\", \"samples\", \"ploidy\"), call_genotype),\n", + " \"phenotype_binary\": ((\"samples\",), phenotype_binary),\n", + " \"variant_contig\": ((\"variants\",), variant_contig),\n", + " \"variant_position\": ((\"variants\",), variant_position),\n", + " },\n", + " coords={\n", + " \"contigs\": ((\"contigs\",), contigs),\n", + " \"sample_id\": ((\"samples\",), [f\"S{i:04d}\" for i in range(n_samples)]),\n", + " },\n", + ")\n", + "\n", + "print(ds.sizes)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "ce625033", + "metadata": { + "execution": { + "iopub.execute_input": "2026-03-03T16:46:31.772044Z", + "iopub.status.busy": 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contigpositionpvaluen_obs
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" + ], + "text/plain": [ + " contig position pvalue n_obs\n", + "5 2L 60000 0.000169 197\n", + "97 2R 180000 0.000284 198\n", + "283 3R 440000 0.008133 195\n", + "75 2L 760000 0.008512 196\n", + "371 X 520000 0.009830 192\n", + "238 3L 790000 0.010051 193\n", + "21 2L 220000 0.011123 198\n", + "3 2L 40000 0.012037 198\n", + "227 3L 680000 0.013854 197\n", + "399 X 800000 0.016794 195" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results = demo.association_results(ds)\n", + "results = results.sort_values(\"pvalue\", na_position=\"last\")\n", + "results.head(10)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "53425fc9", + "metadata": { + "execution": { + "iopub.execute_input": "2026-03-03T16:46:33.257257Z", + "iopub.status.busy": "2026-03-03T16:46:33.255254Z", + "iopub.status.idle": "2026-03-03T16:46:51.185937Z", + "shell.execute_reply": "2026-03-03T16:46:51.179806Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from IPython.display import Image, display\n", + "\n", + "fig_manhattan = demo.plot_manhattan(\n", + " results,\n", + " pvalue_threshold=1e-4,\n", + " title=\"Dummy Association Results: Manhattan Plot\",\n", + " show=False,\n", + ")\n", + "\n", + "try:\n", + " display(Image(fig_manhattan.to_image(format=\"png\", width=1000, height=500, scale=1)))\n", + "except Exception:\n", + " fig_manhattan" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "e01d0842", + "metadata": { + "execution": { + "iopub.execute_input": "2026-03-03T16:46:51.196935Z", + "iopub.status.busy": "2026-03-03T16:46:51.194940Z", + "iopub.status.idle": "2026-03-03T16:47:07.654517Z", + "shell.execute_reply": "2026-03-03T16:47:07.630771Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from IPython.display import Image, display\n", + "\n", + "fig_qq = demo.plot_qq(\n", + " results,\n", + " title=\"Dummy Association Results: QQ Plot\",\n", + " show=False,\n", + ")\n", + "\n", + "try:\n", + " display(Image(fig_qq.to_image(format=\"png\", width=700, height=700, scale=1)))\n", + "except Exception:\n", + " fig_qq" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.0" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/tests/anoph/conftest.py b/tests/anoph/conftest.py index f94768ad3..36fc111fe 100644 --- a/tests/anoph/conftest.py +++ b/tests/anoph/conftest.py @@ -1266,6 +1266,7 @@ def write_metadata( aim=True, cohorts=True, sequence_qc=True, + phenotypes=False, ): # Here we take the approach of using some of the real metadata, # but truncating it to the number of samples included in the @@ -1504,8 +1505,32 @@ def write_metadata( dst_path.parent.mkdir(parents=True, exist_ok=True) df_cat_ds.to_csv(dst_path, index=False) + if phenotypes: + df_phenotypes = df_general_ds[["sample_id", "country", "location"]].copy() + n_phenotypes = len(df_phenotypes) + df_phenotypes["insecticide"] = "permethrin" + df_phenotypes["dose"] = "1x" + df_phenotypes["phenotype"] = np.where( + np.arange(n_phenotypes) % 2 == 0, "alive", "dead" + ) + dst_path = ( + self.bucket_path + / release_path + / "phenotypes" + / "all" + / sample_set + / "phenotypes.csv" + ) + dst_path.parent.mkdir(parents=True, exist_ok=True) + df_phenotypes.to_csv(dst_path, index=False) + def init_metadata(self): - self.write_metadata(release="3.0", release_path="v3", sample_set="AG1000G-AO") + self.write_metadata( + release="3.0", + release_path="v3", + sample_set="AG1000G-AO", + phenotypes=True, + ) self.write_metadata(release="3.0", release_path="v3", sample_set="AG1000G-BF-A") self.write_metadata( release="3.1", diff --git a/tests/anoph/test_association.py b/tests/anoph/test_association.py new file mode 100644 index 000000000..bc271919a --- /dev/null +++ b/tests/anoph/test_association.py @@ -0,0 +1,57 @@ +import malariagen_data +import pandas as pd +import plotly.graph_objects as go # type: ignore +import pytest +import xarray as xr + + +@pytest.fixture +def ag3_sim_api(ag3_sim_fixture): + return malariagen_data.Ag3( + url=ag3_sim_fixture.url, + public_url=ag3_sim_fixture.url, + pre=True, + check_location=False, + show_progress=False, + bokeh_output_notebook=False, + results_cache=ag3_sim_fixture.results_cache_path.as_posix(), + ) + + +def test_snp_phenotype_association_produces_plot_input(ag3_sim_api): + df = ag3_sim_api.snp_phenotype_association( + region="2L", + sample_sets=["AG1000G-AO"], + ) + + assert isinstance(df, pd.DataFrame) + assert {"contig", "position", "pvalue"}.issubset(df.columns) + assert len(df) > 0 + assert (df["pvalue"].dropna() >= 0).all() + assert (df["pvalue"].dropna() <= 1).all() + + manhattan = ag3_sim_api.plot_manhattan(df, show=False) + qq = ag3_sim_api.plot_qq(df, show=False) + assert isinstance(manhattan, go.Figure) + assert isinstance(qq, go.Figure) + + +def test_plot_association_from_xarray(ag3_sim_api): + ds = xr.Dataset( + { + "contig": ("variants", ["2L", "2L", "2R", "2R"]), + "position": ("variants", [100, 200, 100, 250]), + "pvalue": ("variants", [0.5, 1e-6, 0.1, 1e-9]), + } + ) + + manhattan = ag3_sim_api.plot_manhattan(ds, show=False) + qq = ag3_sim_api.plot_qq(ds, show=False) + assert isinstance(manhattan, go.Figure) + assert isinstance(qq, go.Figure) + + +def test_plot_manhattan_missing_column_raises(ag3_sim_api): + data = pd.DataFrame({"contig": ["2L"], "position": [100]}) + with pytest.raises(ValueError, match="Missing required columns"): + ag3_sim_api.plot_manhattan(data, show=False)