The implementation of rare events logistic regression to predict the distribution of mesophotic hard corals across the main Hawaiian Islands

PeerJ. 2016 Jul 6:4:e2189. doi: 10.7717/peerj.2189. eCollection 2016.

Abstract

Predictive habitat suitability models are powerful tools for cost-effective, statistically robust assessment of the environmental drivers of species distributions. The aim of this study was to develop predictive habitat suitability models for two genera of scleractinian corals (Leptoserisand Montipora) found within the mesophotic zone across the main Hawaiian Islands. The mesophotic zone (30-180 m) is challenging to reach, and therefore historically understudied, because it falls between the maximum limit of SCUBA divers and the minimum typical working depth of submersible vehicles. Here, we implement a logistic regression with rare events corrections to account for the scarcity of presence observations within the dataset. These corrections reduced the coefficient error and improved overall prediction success (73.6% and 74.3%) for both original regression models. The final models included depth, rugosity, slope, mean current velocity, and wave height as the best environmental covariates for predicting the occurrence of the two genera in the mesophotic zone. Using an objectively selected theta ("presence") threshold, the predicted presence probability values (average of 0.051 for Leptoseris and 0.040 for Montipora) were translated to spatially-explicit habitat suitability maps of the main Hawaiian Islands at 25 m grid cell resolution. Our maps are the first of their kind to use extant presence and absence data to examine the habitat preferences of these two dominant mesophotic coral genera across Hawai'i.

Keywords: Hawaii; Leptoseris; Mesophotic; Montipora; Predictive modeling; Rare events corrected regression; Scleractinian corals; Species distribution model; Theta threshold selection.

Grants and funding

Funding for this research was provided by the NOAA Coral Reef Conservation Program grant no. NA14NOS4820092. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.