Relative peripheral refractive error and its biometric determinants in a GRIN ray-tracing uncorrected pediatric eye

Model-output data for the uncorrected eye — model validation, clinical consistency, and biometry-sensitivity / hypothesis generation — accompanying the manuscript on peripheral defocus and myopia. Generated by the open grin-defocus-eye engine v1.3.0 (software record DOI 10.5281/zenodo.20797623). Each row is a direct engine readout — no post-processing. Model. AVOCADO gradient-index crystalline lens (Sheil & Goncharov) in an aspheric pediatric eye (age 10); own conic tracer and RK4 GRIN integrator (a homogeneous Le Grand eye on Optiland is a validation oracle only). The retina is an Atchison conicoid coupled to axial elongation (not to the central refraction): axial ametropia reshapes the retina, refractive ametropia keeps the emmetropic retina — so the axial-vs-refractive comparison is a clean optics-vs-globe decomposition. Accommodation is the AVOCADO volume-constant reshape with in-vivo Dubbelman rates recalibrated (×1.583) to a ~1:1 central gain. Conventions. Dioptres (D); sign clinical (myopia < 0, hyperopia > 0); RPRE(θ) = M(θ) − M(0) (relative peripheral refractive error; >0 = relative peripheral hyperopia, myopiagenic); J0 > 0 = with-the-rule astigmatism. Field angle = retinal eccentricity. Viewing states: distance (relaxed, A=0, cycloplegic) and near33 (33 cm, accommodated); uncorr_ametropia.csv additionally carries distance_acc at the +3/+6 hyperope anchors (the uncorrected hyperope accommodating to bring a distant object to best focus, supplementing the relaxed distance rows). Grid: pupils 2/4/6 mm, eccentricity 10/20/30°. Peripheral readout validated against the homogeneous oracle to ≤ 0.03 D out to ~20°; 30° reported with a caveat; 40° out of trust. License: CC–BY–4.0. Files. data/uncorr_ametropia.csv — uncorrected relative peripheral refraction (and J0) across the full ametropia series (SR −6…+6 D), at distance, near33 and (at the +3/+6 hyperope anchors) distance_acc. Columns: SR, eye_M0, cond, A_acc, pupil, angle, M0, RPRE, J0. data/biometry_grid.csv — tidy long-format biometry-sensitivity grid across the full refraction series. One row per (refraction, block, factor level, condition, pupil, angle). Columns: R, block, factor, factor_value, cond, A_acc, pupil, angle, M0, RPRE. Blocks: H1 (iso-refraction axial length, cornea refit to hold central refraction; factor_value = AL mm), H3_cornea_ecc (anterior corneal asphericity as eccentricity, Q=−e²; factor_value = e), ACD (lens position ±0.3 mm at fixed globe, cornea refit; factor_value = dACD mm), axial_vs_refractive (factor_value = axial or refractive). data/biometry_grid.json — the same grid in the raw nested structure (per refraction → block → factor level → state → pupil → angle), including solved geometry (AL, Rcf, K) and accommodation per cell; the top-level keys H6_keratometry and H7_emmetrope_biometry carry the keratometry and emmetrope-route blocks (by corneal power K). data/keratometry.csv — block H6: corneal-power refractive ametropia at prescribed clinical keratometry (K = 40.3 / 43.3 / 46.3 D → hyperope +3 / emmetrope / myope −3), globe held emmetropic (axial length, corneal asphericity, ACD fixed; only Rcf = 337.5/K changes, so the retina stays emmetropic). Clinically realistic accommodation: the hyperope accommodates at distance (manifest) and beyond for near; the myope does not accommodate. Columns: K, Rcf, eye_M0, M0_parax, cond, A_acc, pupil, angle, M0, RPRE, J0. data/h7_emmetrope.csv — block H7: biometric route to emmetropia — three emmetropes (M0 = 0) reached by different cornea/axial-length combinations (K = 40.3 / 43.3 / 46.3 D; AL solved for emmetropia each, so K40.3 is long-eyed and K46.3 short-eyed). Because the retina is AL-coupled they carry different retinal shapes despite identical central refraction. Isolates axial length vs corneal power at fixed refraction; all three accommodate for near. Columns: K, Rcf, AL, sr_ax, Q_retina, eye_M0, cond, A_acc, pupil, angle, M0, RPRE, J0. Results and analysis are reported in the accompanying manuscript; this record provides the underlying model-output data only. One reader. Every table in this record — the uncorrected ametropia series, the biometry grid (H1/H3/ACD/axial-vs-refractive) and the keratometry (H6) and emmetrope-route (H7) blocks — is read with the same reader: 5 rings × 14 spokes and an exit-pupil normalisation matched to each analysis pupil (Thibos/ANSI: in M = 4√3·c4/R_xp² the reference radius equals the pupil being measured). The pupil dependence of peripheral defocus is the true spherical-aberration-driven one (smooth, monotonic; on-axis Z40 ∝ ρ⁴). The 4 mm pupil is the reference pupil for cross-table statements; at 4 mm the matched normalisation coincides with the earlier fixed-4 mm convention, so 4 mm readings are unchanged while the 2 and 6 mm columns now carry the correct SA-driven trend. Provenance. Numpy-only, deterministic. Generating scripts (in the software record): experiments/run_uncorr_series.py, experiments/grin_study.py, experiments/run_biometry_grid.py, experiments/run_keratometry.py and experiments/keratometry_integrate.py (block H6), experiments/run_h7.py (block H7), experiments/grid_to_csv.py. Please cite both this dataset and the software record (DOI 10.5281/zenodo.20797623). See DATA_README.md for the full data dictionary.