Purpose: To develop and to evaluate a specific sonographic weight formula for fetuses with
extreme macrosomia (≥4500 g).
Material and methods: A statistical estimation technique known as “gradient boosting with component-wise
P-splines” was applied to a group of 174 fetuses with a birth weight (BW) ≥4500 g.
Each fetus underwent an ultrasound examination with complete biometric parameters
within 7 days of delivery. Exclusion criteria were multiple pregnancy, intrauterine
death, and major structural or chromosomal anomalies. A new formula was derived using
the data obtained and was then compared with currently available equations for estimating
weight in the macrosomic fetus.
Results: The new formula derived is: log10 (EFW)= 3.6687781710 – 0.0003230278 * (BPD – 100.4080) – 0.0000843433 * (BPD – 100.4080)2 + 0.0007281281 * (OFD – 120.6322) + 0.0000664323 * (OFD – 120.6322)2 + 0.000000001794019 * exp(ATD – 120.1552) + 0.0005946974 * (APAD – 121.2069) – 0.0000210137
* (APAD – 121.2069)2 – 0.000003318 * (APAD – 121.2069)3, where EFW is estimated fetal weight, BPD is biparietal diameter, OFD is occipitofrontal
diameter, ATD is abdominal transverse diameter, and APAD is abdominal anteroposterior
diameter. The new formula proved to be superior to other established equations, showing
the lowest mean absolute percentage error (MAE 2.506), the smallest variance regarding
the signed percentage error (SPE) (SD: 3.376), and the best distribution of absolute
percentage errors within prespecified error bounds.
Conclusion: This new formula significantly improves weight estimation in the fetus with extreme
macrosomia.