This paper describes a means by which the capsize risk associated with
various fishing vessel operating conditions can be evaluated. Rather
than relying on the static restoring moment curve as the primary crite
ria for vessel safety, modern nonlinear systems analysis is applied to
the problem of extreme nonlinear rolling in random beam sea. While th
e method is quite general and not limited to small vessels, it is illu
strated with a specific application involving Native American trap net
fishing on the upper Great Lakes. General trap net operations, as pra
cticed by Native American fishermen and women in the Grand Traverse Ba
y region, are presented in detail. The most significant characteristic
of trap net operations is the heel induced during net deployment and
net lifting. The increased risk to the vessel, in terms of the increas
ed probability of capsize is quantified for various heel angles and va
rious sea states. A significant advantage of the capsize analysis meth
od presented here is its ability to investigate quickly the effects of
many parameters (e.g., trap net line tension, wave height, and/or wav
e period) on a nonlinear dynamic system without having to resort to ex
tensive simulation studies.