# On environmental contours for marine and coastal design

## TL;DR

This paper clarifies the use of environmental contours in marine and coastal structural reliability, compares estimation methods, and offers guidance on their appropriate application and interpretation.

## Contribution

It provides a comprehensive overview of environmental contour estimation approaches, clarifies their relationship with structural responses, and offers practical guidance and software tools.

## Key findings

- Different approaches to environmental contour estimation are compared.
- Guidelines for appropriate use of environmental contours are provided.
- Software tools for joint distribution and contour estimation are introduced.

## Abstract

Environmental contours are used in structural reliability analysis of marine and coastal structures as an approximate means to locate the boundary of the distribution of environmental variables, and hence sets of environmental conditions giving rise to extreme structural loads and responses. Outline guidance concerning the application of environmental contour methods is given in recent design guidelines from many organisations. However there is lack of clarity concerning the differences between approaches to environmental contour estimation reported in the literature, and regarding the relationship between the environmental contour, corresponding to some return period, and the extreme structural response for the same period. Hence there is uncertainty about precisely when environmental contours should be used, and how they should be used well. This article seeks to provide some assistance in understanding the fundamental issues regarding environmental contours and their use in structural reliability analysis. Approaches to estimating the joint distribution of environmental variables, and to estimating environmental contours based on that distribution, are described. Simple software for estimation of the joint distribution, and hence environmental contours, is illustrated (and is freely available from the authors). Extra assumptions required to relate the characteristics of environmental contour to structural failure are outlined. Alternative response-based methods not requiring environmental contours are summarised. The results of an informal survey of the metocean user community regarding environmental contours are presented. Finally, recommendations about when and how environmental contour methods should be used are made.