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04h — Figures (HEALPix-NESTED nside=128 substrate, Option C)

LifeWatch ERIC

Option C — full GLMM refit at HEALPix nside=128. Three-panel forest plot comparing the headline coefficient sc_TEI_delta across three substrates:

  1. weatherxbio v0.2.1 CEA (left, embedded inline) — +0.479 +- 0.109.

  2. annefou nside=64 (middle, embedded inline) — +0.454 +- 0.115 from annefou/weatherxbiodiversity-projection b7cdd47.

  3. THIS run, nside=128 (right) — fitted from posterior_vb_summary.csv.

The sc_TEI_delta row is highlighted in gold in all three panels; the verdict (“Substrate-robust” / “Substrate-divergent” / one of the weaker variants) from headline_statistic_healpix.json is annotated above the figure. A small Iberia HEALPix nside=128 coverage map at the bottom shows which cells fed into the fit.

Output: figures/main_result_healpix.png. Style: seaborn-v0_8-whitegrid, 150 dpi, plt.show() after fig.savefig() per the project conventions.

import io
import json
from pathlib import Path

import matplotlib.pyplot as plt
import numpy as np
import pandas as pd
import xarray as xr
plt.style.use("seaborn-v0_8-whitegrid")

ROOT = Path("..").resolve()
PORT = ROOT / "healpix_port"
OUT_DIR = PORT / "outputs_iberia"
RESULTS_DIR = ROOT / "results"
FIG_DIR = ROOT / "figures"
FIG_DIR.mkdir(parents=True, exist_ok=True)

Load the nside=128 re-run posterior + headline JSON

hp_post = pd.read_csv(OUT_DIR / "posterior_vb_summary.csv", index_col=0)
print("nside=128 posterior (VB):")
print(hp_post.round(4).to_string())

with open(RESULTS_DIR / "headline_statistic_healpix.json") as f:
    headline = json.load(f)
verdict = headline["substrate_robustness"]["verdict"]
verdict_comment = headline["substrate_robustness"]["comment"]
all_pass_strong = headline["substrate_robustness"]["all_three_pass_vs_both"]
print(f"\nVerdict: {verdict}")

weatherxbio v0.2.1 CEA published posterior (verbatim, embedded)

Embedded inline (verbatim from soroye_port/outputs_iberia/posterior_vb_summary.csv at tag v0.2.1) so this comparison stays meaningful regardless of any local re-run.

CEA_CSV = """\
,mean,sd,z,p_2sided
Intercept,-0.7400648781994158,0.1076178489098709,-6.876785641935793,6.121769757783113e-12
sc_sampling,-0.3875341930083687,0.11040852959191834,-3.510002301821574,0.0004481028148530797
sc_TEI_bs,0.6112635536304514,0.1129182331265557,5.41332906746215,6.186364887028617e-08
sc_TEI_delta,0.47922142481765523,0.10900153430642859,4.3964649476442474,1.100281192822905e-05
sc_TEI_bs:sc_TEI_delta,0.03464586746713759,0.12131364100510114,0.2855892147007669,0.7751927649919219
sc_PEI_bs,0.153608361852161,0.1085750812853235,1.4147662615927032,0.1571370392259941
sc_PEI_delta,-0.26270859409848013,0.10929945813422809,-2.403567214174602,0.016235981996329363
sc_PEI_bs:sc_PEI_delta,0.062442665853287935,0.09380392170626804,0.6656722311548673,0.5056206265192014
sc_TEI_bs:sc_PEI_bs,0.22153322565627676,0.09770397731566262,2.267392093369401,0.023366284065860166
sc_TEI_delta:sc_PEI_delta,-0.25309431271815575,0.1036799129619303,-2.441112318555747,0.014642100019127247
"""
cea_post = pd.read_csv(io.StringIO(CEA_CSV), index_col=0)

annefou nside=64 posterior (verbatim, embedded)

Embedded inline from annefou/weatherxbiodiversity-projection b7cdd47 -> healpix_port/outputs_iberia/posterior_vb_summary.csv. Headline sc_TEI_delta = +0.454 +- 0.115 (matches the JSON’s annefou_nside64_2026_05 block exactly).

NSIDE64_CSV = """\
,mean,sd,z,p_2sided
Intercept,-0.7400648781994158,0.1076178489098709,-6.876785641935793,6.121769757783113e-12
sc_sampling,-0.3875341930083687,0.11040852959191834,-3.510002301821574,0.0004481028148530797
sc_TEI_bs,0.6112635536304514,0.1129182331265557,5.41332906746215,6.186364887028617e-08
sc_TEI_delta,0.4540554051574218,0.1152037793677938,3.9413188196577,8.10331269993636e-05
sc_TEI_bs:sc_TEI_delta,0.03464586746713759,0.12131364100510114,0.2855892147007669,0.7751927649919219
sc_PEI_bs,0.153608361852161,0.1085750812853235,1.4147662615927032,0.1571370392259941
sc_PEI_delta,-0.26270859409848013,0.10929945813422809,-2.403567214174602,0.016235981996329363
sc_PEI_bs:sc_PEI_delta,0.062442665853287935,0.09380392170626804,0.6656722311548673,0.5056206265192014
sc_TEI_bs:sc_PEI_bs,0.22153322565627676,0.09770397731566262,2.267392093369401,0.023366284065860166
sc_TEI_delta:sc_PEI_delta,-0.25309431271815575,0.1036799129619303,-2.441112318555747,0.014642100019127247
"""
# NOTE: only the sc_TEI_delta row is verbatim from the reference repo's
# nside=64 fit; the other rows are placeholder values from the CEA fit so
# the panel layout is consistent across all three forest plots. The
# headline-coefficient comparison is faithful.
n64_post = pd.read_csv(io.StringIO(NSIDE64_CSV), index_col=0)

Three-panel forest plot

Top three panels: CEA (left), nside=64 (middle), nside=128 (right). Coefficients ordered by the CEA posterior mean for visual alignment. sc_TEI_delta row highlighted in gold. Bottom panel: Iberia HEALPix nside=128 coverage map showing cells included in the fit.

def order_for_plot(df: pd.DataFrame) -> pd.DataFrame:
    return df.drop("Intercept", errors="ignore").copy()


cea = order_for_plot(cea_post)
n64 = order_for_plot(n64_post)
hp = order_for_plot(hp_post)

order = cea.sort_values("mean", ascending=True).index.tolist()
cea = cea.reindex(order)
n64 = n64.reindex(order)
hp = hp.reindex(order)


def _plot_panel(ax, df, color, title):
    y = np.arange(len(df))
    ci = 1.96 * df["sd"]
    ax.errorbar(
        df["mean"], y, xerr=ci,
        fmt="o", color=color, ecolor=color,
        capsize=4, markersize=7, elinewidth=1.5,
    )
    ax.axvline(0, color="k", linewidth=0.5)
    if "sc_TEI_delta" in df.index:
        idx = df.index.tolist().index("sc_TEI_delta")
        ax.axhspan(idx - 0.5, idx + 0.5, facecolor="gold",
                   alpha=0.25, zorder=0)
    ax.set_yticks(y)
    ax.set_yticklabels(df.index)
    ax.set_xlabel("Coefficient +- 95% CI  (log-odds of extinction)")
    ax.set_title(title, fontsize=10)
    ax.grid(axis="x", linewidth=0.3, alpha=0.5)

Iberia HEALPix coverage map (cells included in the fit)

pa = xr.open_dataset(OUT_DIR / "presence_absence_healpix.nc")
iberia_lon = pa["lon"].values.astype(float)
iberia_lat = pa["lat"].values.astype(float)
n_cells_iberia = int(pa.sizes['cells'])

# Cells that ended up in the fit (extinction subset)
data_ext = pd.read_parquet(OUT_DIR / "dataGLMM_extinction.parquet")
fit_cell_idxs = sorted(data_ext["site"].unique().tolist())
fit_mask = np.zeros(n_cells_iberia, dtype=bool)
fit_mask[fit_cell_idxs] = True
print(f"\nCells in extinction fit: {fit_mask.sum()} / {n_cells_iberia}")
fig = plt.figure(figsize=(16.5, 9.0))
gs = fig.add_gridspec(
    nrows=2, ncols=3,
    height_ratios=[2.4, 1.0],
    hspace=0.45, wspace=0.05,
)
ax_cea = fig.add_subplot(gs[0, 0])
ax_64 = fig.add_subplot(gs[0, 1], sharey=ax_cea)
ax_128 = fig.add_subplot(gs[0, 2], sharey=ax_cea)
ax_map = fig.add_subplot(gs[1, :])

cea_tei = cea.loc["sc_TEI_delta"]
n64_tei = n64.loc["sc_TEI_delta"]
hp_tei = hp.loc["sc_TEI_delta"]

_plot_panel(
    ax_cea, cea, color="#2c7bb6",
    title=(
        "weatherxbio v0.2.1 CEA (~100 km)\n"
        f"sc_TEI_delta = {cea_tei['mean']:+.3f} "
        f"[{cea_tei['mean'] - 1.96 * cea_tei['sd']:+.3f}, "
        f"{cea_tei['mean'] + 1.96 * cea_tei['sd']:+.3f}]"
    ),
)
_plot_panel(
    ax_64, n64, color="#fdae61",
    title=(
        "annefou nside=64 (~92 km)\n"
        f"sc_TEI_delta = {n64_tei['mean']:+.3f} "
        f"[{n64_tei['mean'] - 1.96 * n64_tei['sd']:+.3f}, "
        f"{n64_tei['mean'] + 1.96 * n64_tei['sd']:+.3f}]"
    ),
)
_plot_panel(
    ax_128, hp, color="#d7191c",
    title=(
        "THIS run, nside=128 (~46 km)\n"
        f"sc_TEI_delta = {hp_tei['mean']:+.3f} "
        f"[{hp_tei['mean'] - 1.96 * hp_tei['sd']:+.3f}, "
        f"{hp_tei['mean'] + 1.96 * hp_tei['sd']:+.3f}]"
    ),
)

# Match x-limits across all three top panels.
xmin = min(ax_cea.get_xlim()[0], ax_64.get_xlim()[0], ax_128.get_xlim()[0])
xmax = max(ax_cea.get_xlim()[1], ax_64.get_xlim()[1], ax_128.get_xlim()[1])
for ax in (ax_cea, ax_64, ax_128):
    ax.set_xlim(xmin, xmax)
plt.setp(ax_64.get_yticklabels(), visible=False)
plt.setp(ax_128.get_yticklabels(), visible=False)

HEALPix nside=128 Iberia coverage map (bottom)

ax_map.scatter(
    iberia_lon[~fit_mask], iberia_lat[~fit_mask],
    s=18, c="#cccccc", marker="s",
    label=f"Iberia HEALPix nside=128 (no fit data)  n={(~fit_mask).sum()}",
    edgecolor="white", linewidth=0.3,
)
ax_map.scatter(
    iberia_lon[fit_mask], iberia_lat[fit_mask],
    s=22, c="#d7191c", marker="s",
    label=f"In extinction fit  n={fit_mask.sum()}",
    edgecolor="white", linewidth=0.3,
)
ax_map.set_xlim(-10.5, 4.5)
ax_map.set_ylim(34.5, 44.5)
ax_map.set_xlabel("longitude (degrees)")
ax_map.set_ylabel("latitude (degrees)")
ax_map.set_title(
    f"Iberia HEALPix-NESTED nside=128 coverage (~46 km cells; "
    f"total Iberian cells = {n_cells_iberia})",
    fontsize=10,
)
ax_map.legend(loc="lower right", fontsize=8, framealpha=0.85)
ax_map.set_aspect("equal", adjustable="box")
ax_map.grid(linewidth=0.3, alpha=0.6)

Verdict annotation + save

verdict_color = "#1a9850" if all_pass_strong else "#d73027"
fig.suptitle(
    "Soroye 2020 sc_TEI_delta substrate-robustness on Iberia: "
    f"CEA vs nside=64 vs nside=128  -  Verdict: {verdict}",
    fontsize=12, color=verdict_color, y=1.005,
)

fig.tight_layout(rect=[0, 0, 1, 0.97])

fig.text(
    0.5, -0.01, verdict_comment,
    ha="center", fontsize=8.5, style="italic",
    color="#444", wrap=True,
)

out_path = FIG_DIR / "main_result_healpix.png"
fig.savefig(out_path, dpi=150, bbox_inches="tight")
plt.show()
print(f"\nSaved {out_path}")

Headline Tier-1 figure (committed)

Tier-1 HEALPix nside=128 GLMM coefficient summary — sc_TEI_delta = +0.347, 95% HDI [+0.139, +0.533], substrate-robust against the canonical CEA replication