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Background: The PEPaNIC randomised controlled trial, which recruited 1440 critically ill infants and children in 2012-15, showed that withholding parenteral nutrition for 1 week (late-parenteral nutrition), compared with early supplementation within 24 h of admission to the paediatric intensive care unit (early-parenteral nutrition), prevented infections, accelerated recovery, and improved neurocognitive development assessed 2 years later. Because several neurocognitive domains can only be thoroughly assessed from age 4 years onwards, we aimed to determine the effect of late-parenteral nutrition versus early-parenteral nutrition on physical, neurocognitive, and emotional and behavioural development 4 years after randomisation., Methods: This is a preplanned, blinded, 4-year follow-up study of participants included in the PEPaNIC trial (done at University Hospitals Leuven, Belgium; Erasmus Medical Centre Sophia Children's Hospital, Rotterdam, Netherlands; and Stollery Children's Hospital, Edmonton, AB, Canada) and of matched healthy children. Studied outcomes were anthropometrics; health status; parent-reported or caregiver-reported executive functions, and emotional and behavioural problems; and clinical tests for intelligence, visual-motor integration, alertness, motor coordination, and memory. Through multivariable linear and logistic regression analyses, after imputation for missing values (≤30%) and adjustment for risk factors, we investigated the effect of early-parenteral nutrition versus late-parenteral nutrition. This trial is registered with ClinicalTrials.gov, NCT01536275., Findings: Between March 8, 2016, and Nov 8, 2019, 684 children from the original PEPaNIC trial (356 from the late-parenteral nutrition group and 328 from the early-parenteral nutrition group) were assessed for neurocognitive development at 4-years follow-up. Compared with the control group (369 healthy children), children who had critical illness had lower height (β-estimate -2·11 [95% CI -3·15 to -1·06]; p<0·0001) and head circumference (-0·42 [-0·67 to -0·18]; p=0.00077); and worse health status (eg, hospital admission odds ratio 4·27 [95% CI 3·12 to 5·84]; p<0·0001), neurocognitive (eg, parent-reported or caregiver-reported total executive functioning β-estimate 3·57 [95% CI 1·95 to 5·18], p<0·0001; total intelligence quotient -7·35 [-9·31 to -5·39], p<0·0001), and parent-reported or caregiver-reported emotional and behavioural developmental outcomes (internalising 2·73 [1·19 to 4·28], p=0·00055; externalising 1·63 [0·19 to 3·08], p=0·027; and total behavioural problems 2·95 [1·44 to 4·46], p=0·00013), adjusted for risk factors. Outcomes were never worse in the late-parenteral nutrition group compared with the early-parenteral nutrition group, but patients in the late-parenteral nutrition group had fewer parent-reported or caregiver-reported internalising (β-estimate -1·88 [95% CI -3·69 to -0·07]; p=0·042), externalising (-1·73 [-3·43 to -0·03]; p=0·046), and total emotional and behavioural problems (-2·44 [-4·22 to -0·67]; p=0·0070) than patients who had received early-parenteral nutrition, after adjusting for risk factors, and were no longer different from healthy controls for these outcomes., Interpretation: Omitting early parenteral nutrition use for critically ill children did not adversely affect long-term outcomes 4 years after randomisation and protected against emotional and behavioural problems, further supporting the deimplementation of early parenteral nutrition., Funding: European Research Council, Methusalem, Flanders Institute for Science and Technology, Research Foundation Flanders, Sophia Foundation, Stichting Agis Zorginnovatie, Erasmus Trustfonds, and the European Society for Clinical Nutrition and Metabolism., (Copyright © 2020 Elsevier Ltd. All rights reserved.)