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Supplementary Table SI Calibration of the dynamic prediction model by risk groups.*

mean difference max difference number of risk groups

After completion of workup 1.9 5.3 9

After 0.5 years EM 1.7 3.4 7

After 1 year EM 1.8 3.0 5

After 1.5 years EM 2.9 4.0 4

Total 2.1 5.3 25

*Assuming 1.5 months between registration at the Aberdeen Fertility Clinic and completion of the fertility workup (n=1261).

Data are the mean and maximum of the absolute differences (in percentage points) between predicted and observed 1 year natural conception rates per risk group of n=135, stratified by the elapsed period of expectant management (EM).

1 2

3 4 5 6 7

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Supplementary Figure S1 Cumulative chances of natural conception leading to ongoing pregnancy after completion of fertility workup (upper panel) and updated chances of natural conception over the course of 1 year at completion of the fertility workup or 0.5 years, 1 year and 1.5 years thereafter (lower panel) in the validation cohort. Percentages are Kaplan-Meier estimates of the observed fraction of natural conception leading to ongoing pregnancy. Data analysis assumed 1.5 months between registration at the Aberdeen Fertility Clinic and completion of the fertility workup (n=1261).

8 9 10 11 12 13 14 15

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Supplementary Figure S2 Calibration of the predictions of the dynamic prediction model:

predicted versus observed 1 year natural conception rates at four fixed time points. Data analysis assumed 1.5 months between registration at the Aberdeen Fertility Clinic and completion of the fertility workup (n=1261).

16 17 18 19 20

22

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Supplementary Table SII Calibration of the dynamic prediction model by risk groups.*

mean difference max difference number of risk groups

After completion of workup 3.9 11.1 8

After half a year EM 1.9 5.8 7

After one year EM 2.6 4.3 5

After one and a half years EM 2.3 3.3 4

Total 2.7 11.1 24

*Data analysis assumed 4.5 months between registration at the Aberdeen Fertility Clinic and completion of the fertility workup (n=1123).

Data are the mean and maximum of the absolute differences (in percentage points) between predicted and observed 1 year natural conception rates per risk group of n=135, stratified by the elapsed period of expectant management (EM).

23 24

25 26 27 28 29

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Supplementary Figure S3 Cumulative chances of natural conception leading to ongoing pregnancy after completion of fertility workup (upper panel) and updated chances of natural conception over the course of 1 year at completion of the fertility workup or 0.5 years, 1 year and 1.5 years thereafter (lower panel) in the validation cohort. Percentages are Kaplan-Meier estimates of the observed fraction of natural conception leading to ongoing pregnancy. Data analysis assumed 4.5 months between registration at the Aberdeen Fertility Clinic and completion of the fertility workup (n=1123).

30 31 32 33 34 35 36 37 38 39

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Supplementary Figure S4 Calibration of the predictions of the dynamic prediction model:

predicted versus observed 1 year natural conception rates at four fixed time points. Data analysis assumed 4.5 months between registration at the Aberdeen Fertility Clinic and completion of the fertility workup (n=1123).

40 41 42 43 44

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