# Flagged observation analyses as a tool for scoping and communication in integrated ecosystem assessments

## TL;DR

This paper introduces a statistical method called Flagged Observation analysis to help prioritize and communicate recent changes in ecosystems using time series data.

## Contribution

The novel contribution is a procedure for identifying time series with recent observations that deviate from predicted trends, aiding ecosystem assessments.

## Key findings

- Flagged Observation analysis uses structural time series models and Kalman filters to estimate long-term trends and detect deviations.
- The method helps prioritize time series for closer analysis in integrated ecosystem assessments.
- Applications of the framework are demonstrated with two worked examples.

## Abstract

Working groups for integrated ecosystem assessments are often challenged with understanding and assessing recent change in ecosystems. As a basis for this, the groups typically have at their disposal many time series and will often need to prioritize which ones to follow up for closer analyses and assessment. In this article we provide a procedure termed Flagged Observation analysis that can be applied to all the available time series to help identifying time series that should be prioritized. The statistical procedure first applies a structural time series model including a stochastic trend model to the data to estimate the long-term trend. The model adopts a state space representation, and the trend component is estimated by a Kalman filter algorithm. The algorithm obtains one- or more-years-ahead prediction values using all past information from the data. Thus, depending on the number of years the investigator wants to consider as “the most recent”, the expected trend for these years is estimated through the statistical procedure by using only information from the years prior to them. Forecast bands are estimated around the predicted trends for the recent years, and in the final step, an assessment is made on the extent to which observations from the most recent years fall outside these forecast bands. Those that do, may be identified as flagged observations. A procedure is also presented for assessing whether the combined information from all the most recent observations form a pattern that deviates from the predicted trend and thus represents an unexpected tendency that may be flagged. In addition to form the basis for identifying time series that should be prioritized in an integrated ecosystem assessment, flagged observations can provide the basis for communicating with managers and stakeholders about recent ecosystem change. Applications of the framework are illustrated with two worked examples.