Accounting for radiotelemetry signal flux in triangulation point estimation

Abstract

Triangulation by radiotelemetry is a method commonly used to estimate locations of wildlife. Despite the importance of the accuracy of resulting location estimates, there has been little development and comparison of alternative methods for point-location estimation for 25 years. Most methods assume that signal transmissions as they are received are consistent, but signal heterogeneity and fluxing is common. Using data from a beacon study, we determined that a subjective ranking of confidence in the accuracy of a signal was correlated with absolute bearing error. Using this factor and the distance from a telemetry station to the error triangle incenter, we developed an algorithm to place a weighted point-location estimate in relative proximity to each error triangle leg. We have termed this the weighted-incenter method. Despite previous findings that the major confidence ellipse axis of Lenth’s maximum likelihood estimator (MLE) correlated best to linear distance error, our beacon test data indicated that total bearing angle difference was the best single predictor of linear error with an optimal total angle of about 100°. The new and intuitive weighted-incenter method offered some improvement over previous methods such as the MLE estimator, but only with suboptimal angle bearings that may be common in field studies. By using a MATLAB function to produce data for site-specific regression analyses, one can determine which method should produce the more accurate point-location estimate for each triangulation observation. Further significance of this study for field biologists is discussed.