Environmental Models of Cetacean Abundance: Reducing Uncertainty in Population Trends

Trends in population abundance are often used to monitor species affected by human activities. For highly mobile species in dynamic environments, however, such as cetaceans in the marine realm, natu- ral variability can confound attempts to detect and interpret trends in abundance. Environmental variabil- ity can cause dramatic shifts in the distribution of cetaceans, and thus abundance estimates for a fixed re- gion may be based on a different proportion of the population each time. This adds variability, decreasing statistical power to detect trends and introducing uncertainty whether apparent trends represent true changes in population size or merely reflect natural changes in the distribution of cetaceans. To minimize these problems, surveys ideally would be based on species-specific design criteria that optimize sampling within all relevant habitat throughout a species' range. Our knowledge of cetacean habitats is limited, how- ever, and financial and logistic constraints generally force those surveying cetacean abundance to include all species within a limited geographic region. Alternately, it may be possible to account for environmental vari- ability analytically by including models of species-environment patterns in trend analyses, but this will be successful only if such models have interannual predictive power. I developed and evaluated generalized ad- ditive models of cetacean sighting rates in relation to environmental variables. I used data from shipboard surveys of Dall's porpoise ( Phocoenoides dalli ) and short-beaked common dolphins ( Delphinus delphis ) con- ducted in 1991, 1993, and 1996 off California. Sighting rates for these two species are variable and can be partially accounted for by environmental models, but additional surveys are needed to model species-envi- ronment relationships adequately. If patterns are consistent across years, generalized additive models may represent an effective tool for reducing uncertainty caused by environmental variability and for improving our ability to detect and interpret trends in abundance.

[1]  P. McCullagh,et al.  Generalized Linear Models , 1972, Predictive Analytics.

[2]  Jay Barlow,et al.  ABUNDANCE OF CETACEANS IN CALIFORNIA WATERS BASED ON 1991 AND 1993 SHIP SURVEYS , 1996 .

[3]  David M. Checkley,et al.  A continuous, underway fish egg sampler , 1997 .

[4]  Trevor Hastie,et al.  Statistical Models in S , 1991 .

[5]  James V. Carretta,et al.  The abundance of cetaceans in California waters. Part II: Aerial surveys in winter and spring of 1991 and 1992 , 1995 .

[6]  Tim Gerrodette,et al.  The Uses of Statistical Power in Conservation Biology: The Vaquita and Northern Spotted Owl , 1993 .

[7]  J. Barlow,et al.  Report of a marine mammal survey of the California coast aboard the research vessel McArthur, July 28-November 5, 1991 , 1992 .

[8]  Tim Gerrodette,et al.  A POWER ANALYSIS FOR DETECTING TRENDS , 1987 .

[9]  H. Akaike,et al.  Information Theory and an Extension of the Maximum Likelihood Principle , 1973 .

[10]  T. Gerrodette,et al.  Report of cetacean sightings during a marine mammal survey in the eastern Pacific Ocean and the Gulf of California aboard the NOAA ships McArthur and David Starr Jordan, July 28-November 6, 1993 , 1994 .

[11]  P. McCullagh,et al.  Generalized Linear Models, 2nd Edn. , 1990 .

[12]  David R. Anderson,et al.  Estimation of Density from Line Transect Sampling of Biological Populations. , 1982 .

[13]  Claude Roy,et al.  Moderate is better : exploring nonlinear climatic effects on the Californian northern anchovy ( Engraulis mordax ) , 1995 .

[14]  David R. Anderson,et al.  Wildlife Monographs: Estimation of Density from Line Transect Sampling of Biological Populations , 1981 .

[15]  Randall M. Peterman,et al.  Statistical Power of Trends in Fish Abundance , 1987 .

[16]  S. Reilly,et al.  Seasonal changes in distribution and habitat differences among dolphins in the eastern tropical Pacific , 1990 .

[17]  R. Peterman Statistical Power Analysis can Improve Fisheries Research and Management , 1990 .

[18]  G. Swartzman,et al.  Relating trends in walleye pollock (Theragra chalcogramma) abundance in the Bering Sea to environmental factors , 1995 .

[19]  M. Mangel Effects of High-Seas Driftnet Fisheries on the Northern Right Whale Dolphin Lissodelphis Borealis. , 1993, Ecological applications : a publication of the Ecological Society of America.

[20]  William F. Perrin,et al.  Evidence for two species of common dolphins (genus Delphinus) from the eastern North Pacific , 1994, Contributions in science.

[21]  S. Buckland,et al.  Relative abundance of dolphins associated with tuna in the eastern Pacific Ocean: Analysis of 1991 data , 1993 .

[22]  E. Iversen,et al.  The abundance of cetaceans in California waters. Part I: ship surveys in summer and fall of 1991 , 1995 .

[23]  R. Reeves,et al.  U.S. Pacific Marine Mammal Stock Assessments , 1995 .

[24]  David R. Anderson,et al.  Distance Sampling: Estimating Abundance of Biological Populations , 1995 .