{ "background": "Community health centre systems in Nigeria face persistent challenges in resource allocation and service delivery forecasting. Accurate prediction of health service yield is critical for operational planning, yet robust methodological frameworks for such forecasting within these specific systems are lacking.", "purpose and objectives": "This methodological evaluation aimed to develop and assess a bespoke time-series forecasting model for measuring and predicting service yield improvement within Nigerian community health centre systems.", "methodology": "We constructed a seasonal autoregressive integrated moving average (SARIMA) model, formalised as $\\phi(B)\\Phi(B^s)\\nabla^d\\nablas^D yt = \\theta(B)\\Theta(B^s)\\epsilont$, where $yt$ represents the monthly yield of patient consultations. The model was trained on historical administrative data and its forecasting performance was rigorously evaluated using rolling-origin validation.", "findings": "The model demonstrated a statistically significant upward trend in predicted service yield, with a mean absolute percentage error (MAPE) of 8.7% (95% CI: 7.2, 10.3) on the test set. Forecasts indicate a sustained, non-linear increase in capacity utilisation over the medium term.", "conclusion": The SARIMA model provides a technically sound and operationally viable method for forecasting service yield in this context, offering a substantial improvement over prior heuristic approaches.", "recommendations": "Health system planners should integrate this modelling framework into annual operational planning cycles. Further research should focus on incorporating exogenous variables, such as community disease prevalence, to enhance predictive accuracy.", "key words": "health systems, forecasting, time-series analysis, operational research, capacity planning", "contribution statement": "This paper provides the first application and validation of a formal SARIMA modelling framework for forecasting service yield in Nigerian community health centre systems, establishing a new benchmark for evidence-based operational planning." } ``` Background Community health centre systems in Nigeria face persistent challenges in resource allocation and service delivery forecasting. Accurate prediction of health service yield is