Abstract
In monitoring studies at wind farms, the estimation of bird and bat mortality caused by collision must take into account carcass removal by scavengers or decomposition. In this paper we propose the use of survival analysis techniques to model the time of carcass removal. The proposed method is applied to data collected in ten Portuguese wind farms. We present and compare results obtained from semiparametric and parametric models assuming four main competing lifetime distributions (exponential, Weibull, log-logistic and log-normal). Both homogeneous parametric models and accelerated failure time models were used. The fitted models enabled the estimation of the carcass persistence rates and the calculation of a scavenging correction factor for avian mortality estimation. Additionally, we discuss the impact that the distributional assumption can have on parameter estimation. The proposed methodology integrates the survival probability estimation problem with the analysis of covariate effects. Estimation is based on the most suitable model while simultaneously accounting for censored observations, diminishing scavenging rate estimation bias. Additionally, the method establishes a standardized statistical procedure for the analysis of carcass removal time in subsequent studies.
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References
Akritas MG, Ruscitti TF, Patil GP (1994) Statistical analysis of censored environmental data. In: Patil GP, Rao CR (eds) Handbook of statistics 12, Environmental Statistics. North-Holland, New York, pp 221–242
Anderson R, Neumann N, Tom J, Erickson W, Strickland MD, Bourassa M, Bay K, Sernka K (2004) Avian monitoring and risk assessment at the Tehachapi Pass Wind Resource Area. Tech. rep., National Renewable Energy Laboratory, Golden, Colorado, USA
Arnett E, Brown W, Erickson W, Fiedler J, Hamilton B, Henry T, Jain A, Johnson G, Kerns J, Koford R, Nicholson C, O’Connell T, Piorkowski M, Tankersley R (2008) Patterns of bat fatalities at wind energy facilities in North America. J Wildl Manag 72: 61–78
Barrios L, Rodriguez A (2004) Behavioural and environmental correlates of soaring-bird mortality at onshore wind turbines. J Appl Ecol 41: 72–81
Bispo R, Bernardino J, Marques TA, Pestana D (in press) Discrimination between parametric survival models for removal times of bird carcasses in scavenger removal trials at wind turbines sites. In: Studies in Theoretical and Applied Statistics. Springer, New York
Brown WK, Hamilton BL (2006) Monitoring of bird and bat collisions with wind turbines at the Summerview Wind Power Project, Alberta, 2005–2006. Report for Vision Quest Windelectric. In: Terrestrial and Aquatic Environmental Managers Ltd., Calgary, Alberta, Canada
Burnham KP, Anderson DR (2004) Understanding AIC and BIC in model selection. Sociol Methods Res 33: 261–304
Collett D (2003) Modelling survival data in medical research. Chapman and Hall, Boca Raton, FL
Cox DR (1972) Regression models and life-tables. J R Statist Soc B 34: 187–220
Drewitt A, Langston R (2008) Collision effects of wind-power generators and others obstacles on birds. Ann NY Acad Sci 1134: 233–266
Efron B (1977) The efficiency of Cox’s likelihood function for censored data. J Am Stat Assoc 72: 557–565
Erickson WP, Jeffrey J, Kronner, Bay K (2004) Stateline wind project wildlife monitoring final report, July 2001–December 2003. Technical report peer-reviewed by and submitted to FPL Energy, the Oregon Energy Facility Siting Council, and the Stateline Technical Advisory Committee, Western EcoSystems Technology, Inc. and Northwest Wildlife Consultants, Inc
Fiedler JK (2004) Assessement of bat mortality and activity at Buffalo Mountain Windfarm, Eastern Tennessee. Master’s thesis, The University of Tennessee. Available electronically at http://www.wind-watch.org
Gelb Y, Delacretaz N (2006) Avian window strike at an urban office building. The Kingbird 56: 190–198
Hass D, Nipkow M, Fielder G, Schneider R, Haas W, Schürenberg B (2005) Protecting birds from powerlines. In: Nature and environment, vol 140. Council of Europe Publishing
Huso MMP (2010) An estimator of wildlife fatality from observed carcasses. Environmetrics 22: 318–329
Jain A, Kerlinger R Pand Curry, Slobodnik L (2007) Annual report for the Maple Ridge Wind Power Project: postconstruction bird and bat fatality study—2006. Tech. rep., Curry and Kerlinger, LLC. Available electronically at http://www.wind-watch.org
Johnson G, Perlik M, Erickson W, Strickland MD (2004) Bat activity, composition, and collision mortality at a large wind plant in Minnesota. Wildl Soc Bull 32: 1278–1288
Jonhson G, Erickson W, White J, McKinney R (2003) Avian and bat mortality during the first year of operation at the Klondike phase I wind project, Sherman County, Oregon. Tech. rep., WEST, Inc., Cheyenne. Available electronically at http://www.west-inc.com
Kalbfleisch JD, Prentice RL (2002) The statistical analysis of failure time data. Wiley, New York
Kaplan EL, Meier P (1958) Nonparametric estimation from incomplete observations. J Am Stat Assoc 53: 457–481
Kelm D, Keck DC, Marty KL, Ball AJM, Niciu EE, Plat CT (2004) Effects of window angling, feeder placement and scavengers on avian mortality at Plate Glass. Wilson Bull 116(1): 69–73
Kerlinger P (2002) An assessment of the impacts of Green Mountain Power Corporation’s wind power facility on breeding and migrating birds in Searsburg, Vermont. Tech. rep., National Renewable Energy Laboratory, Golden, Colorado, USA. Available electronically at http://www.osti.gov/bridge
Kerns J, Erickson W, Arnett EB (2005) Bat and bird fatality at wind energy facilities in Pennsylvania and West Virginia. In: Arnett EB (ed) Relationships between bats and wind turbines in Pennsylvania and West Virginia: an assessment of bat fatality search protocols, patterns of fatality, and behavioral interactions with wind turbines. Bat Conservation International, Austin, Texas, USA, pp 24–95
Kostecke RM, Linz GM, Bleier WJ (2001) Survival of avian carcasses and photographic evidence of predators and scavengers. J Field Ornithol 72: 439–447
Kunz T, Arnett E, Cooper B, Erickson W, Larkin R, Mabee T, Morrison M, Strickland M, Szewczac J (2007) Assessing impacts of wind-energy development on nocturnally active birds and bats: a guidance document. J Wildl Manag 71: 2449–2486
Lawless JF (2003) Statistical models and methods for lifetime data. Wiley, New York
Linz GM, Davis JE, Engeman RM, Otis DL, Avery ML (1991) Estimating survival of birds carcasses in cattail marshes. Wildl Soc Bull 19: 195–199
Morrison M (2002) Searcher bias and scavenging rates in bird/wind energy studies. Tech. rep., National Renewable Energy Laboratory, Golden, Colorado, USA
Nardi A, Schemper M (2003) Comparing Cox and parametric models in clinical trials. Statist Med 22: 3597–3610
Newton I (1998) Population limitation in birds. Ibis 149: 453–467
Oakes D (1977) The asymptotic information in censored survival data. Biometrika 64: 441–448
Osborn RG, Higgins K, Usgaard RE, Dieter CD, Neiger RD (2000) Bird mortality associated with wind turbines at the Buffalo Ridge Wind Resource Area, Minnesota. Am Midl Nat 143: 41–52
R Development Core Team (2011) R: A language and environment for statistical computing. URL http://www.R-project.org, ISBN 3-900051-07-0
Rivera-Milan FF, Zaccagnini ME, Canavelli SB (2004) Field trials of line transect surveys of bird carcasses in agro-ecosystems of Argentina’s Pampas region. Wildl Soc Bull 32: 1219–1228
Schmidt E, Piaggio A, Bock C, Armstrong D (2003) National wind technology center site environmental assessment: Bird and bat use and fatalities final report. Tech. rep., University of Colorado Boulder, Golden, Colorado, USA. Available electronically at http://www.doe.gov/bridge
Silva RB, Barreto-Souza W, Cordeiro GM (2010) A new distribution with decreasing, increasing and upside-down bathtub failure rate. Comput Stat Data Anal 54: 935–944
Smallwood KS, Thelander C (2004) Developing methods to reduce bird mortality in the Altamont Pass Wind Resource Area. Final report by bioresource consultants to the California energy commission, California Energy Commission, Public Interest Energy Research, Environmental Area. Available electronically at http://www.energy.ca.go
Thelander C, Smallwood KS (2007) The Altamont pass wind resource area’s effects on birds: a case history. In: de Lucas M, Janss GFE, Ferrer M (eds) Birds and wind farms: risk assessment and mitigation. Quercus, Madrid, pp 25–46
Therneau T, original Splus->R port by Thomas Lumley (2011) survival: Survival analysis, including penalised likelihood. URL http://CRAN.R-project.org/package=survival, R package version 2.36-5
Thompson ML, Nelson KP (2003) Linear regression with type I interval- and left-censored response data. Environ Ecol Stat 10: 221–230
Tobin ME, Dolbeer RA (1990) Disapearance and recoverability of songbirds carcasses in fruit orchards. J Field Ornithol 61: 237–242
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Bispo, R., Bernardino, J., Marques, T.A. et al. Modeling carcass removal time for avian mortality assessment in wind farms using survival analysis. Environ Ecol Stat 20, 147–165 (2013). https://doi.org/10.1007/s10651-012-0212-5
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DOI: https://doi.org/10.1007/s10651-012-0212-5