Related Experiment Video
Updated: Aug 11, 2026

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
Published on: December 9, 2015
Characterizing spatiotemporal patterns of case reporting backfill: a case study of COVID-19 reporting in Michigan,
Yannan Niu1, Andrew F Brouwer1, Emily T Martin1
1Department of Epidemiology, University of Michigan, Ann Arbor, MI, United States.
None:
Backfill is the process of revising case data, often by retrospectively assigning or reassigning newly reported cases to their associated earlier symptom onset dates. Time- and spatial-varying delays in backfill may compromise real-time surveillance and forecasting efforts by obscuring true underlying transmission patterns. Using Michigan COVID-19 case data, we developed a statistical mixture model to describe backfill and geographical and temporal variations. The model combined an exponential process (case reporting delay) and a gamma-distributed process (case reassignment to onset date). Parameters were estimated by regularized maximum likelihood, and the Akaike Information Criterion was used to determine the necessity of the reassignment component for each date. We estimated the exponential reporting speed over time and space and, if appropriate, the weight, transient peak, and time of case reassignment. We found that case reporting improved over the pandemic: reporting speed increased over time (with substantial day-to-day variation), and case reassignments were processed faster. We also identified potential regional disparities: regions with population densities below 50 people/km2 had slower backfill speeds. These findings provide critical insights about the evolution of case reporting and backfill dynamics that can be leveraged for "nowcasting" models to complete real-time surveillance data, ultimately improving outbreak preparedness and response.
Related Concept Videos
Steps in Outbreak Investigation
Investigation of Disease Outbreaks
Contingency Table
Case Studies
Introduction to Epidemiology
Residuals and Least-Squares Property
If the observed data point lies above the line, the residual is positive, and the line underestimates the actual data value for y. If the observed data point lies below the line, the residual is negative, and the line overestimates the actual data value for y.
The process of fitting the best-fit...