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Additional file 1: Table S1. Details of socioeconomic position categories and maternal education levels. Table S2. Details of model covariates, sample exclusions, sensitivity analyses and subgroup analyses for each of the different outcomes. Table S3. Pairwise correlations between each of the growth measures. Table S4. Predicted estimates (continuous outcomes) and percent at the threshold (binary outcomes) (99% CIs) at the 25th, 50th and 75th centiles of iodine concentration and p-overall* for ‘average’ participants†. Figure S1. A directed acyclic graph used to identify confounders and competing exposures in the association between maternal iodine concentration and birth or pregnancy outcomes. Figure S2. Flow chart of participant inclusions and exclusions. Figure S3. Estimated APGAR score at 1 minute and percent with congenital anomalies, using imputed datasets for the full sample. Figure S4. Estimated biparietal diameter, femur length and abdominal circumference, from ultrasound scans at 34 weeks’ gestation, across the range of maternal I:Cr concentrations using imputed datasets for the full sample. Figure S5. Estimated birthweight centile in all participants, sensitivity analysis and subgroups. Figure S6. Estimated birthweight in grams in all participants, sensitivity analysis and subgroups. Figure S7. Probability of being small for gestational age in all participants, sensitivity analysis and subgroups. Figure S8. Probability of low birthweight in all participants, sensitivity analysis and subgroups. Figure S9. Apgar score at 5 minutes after birth in all participants, sensitivity analysis and subgroups. Figure S10. Estimated head circumference at birth in all participants, sensitivity analysis and subgroups. Figure S11. Estimated head circumference from 34 week ultrasound scan in all participants, sensitivity analysis and subgroups. Figure S12. Estimated weight from 34 week ultrasound scan in all participants, sensitivity analysis and subgroups. Figure S13. Probability of preterm birth in all participants, sensitivity analysis and subgroups. Figure S14. Probability of congenital anomalies in all participants, sensitivity analysis and subgroups.