Multi‐scale spatiotemporal analyses of moose–vehicle collisions: a case study in northern Vermont

Moose–vehicle collisions (MVCs) pose a serious safety and environmental concern in many regions of Europe and North America. For example, in the state of Vermont, one‐third of all reported MVCs resulted in motorist injury or fatality while collisions have increased from two in 1982 to 164 in 2002. Our work used a MVC dataset from 1983 to 1999 in the Northeastern Highlands of Vermont (four major roads) to perform space, time and spatiotemporal analyses and guide future mitigation strategies. An adapted kernel density estimator was implemented for exploratory analyses to detect high density collision hotspots on roads. The kernel in space showed seven major density peaks which varied in magnitude and spread between roads. The kernel estimator in time for all roads showed an exponentially increasing trend with annual periodicity and a seasonal cyclic component, where the majority of collisions occurred from May to October. Spatiotemporal kernel estimation exhibited discontinuous density hotspots in time and space suggesting changing animal movement patterns across roads. We used an adapted Ripley's K‐function to test the hypothesis that MVCs clustering occurred at multiple scales in space, in time and in space–time combined. Statistically significant spatial clustering was evident on all roads at spatial scales from 2 to 10 km. A more consistent clustering in time occurred on all roads at a scale distance of 5 years. Similar to the kernel estimation, annual periodicity was also evident. Positive space–time clustering was present at small spatial (5 km) and temporal scales (2 years) indicating that where MVCs occur is also influenced by when they occur. In retrospect, using multiple road lengths, and the combined kernel estimation and Ripley's K‐function in time and space, provided a powerful methodology to study varying spatiotemporal patterns of wildlife collisions along roads. This can greatly assist transportation planners in identifying optimal mitigation strategies along specific roads, such as deciding on location and spatial length for permanent and expensive measures (e.g. crossing structures and associated fencing) versus less permanent and inexpensive structures (e.g. wildlife signage and reduced speed limits).

[1]  Laura A. Romin,et al.  Deer-Vehicle Collisions: Nationwide Status of State Monitoring Activities and Efforts , 1996 .

[2]  János Podani,et al.  Individual-centered analysis of mapped point patterns representing multi-species assemblages , 1997 .

[3]  Atsuyuki Okabe,et al.  Spatial analysis of roadside Acacia populations on a road network using the network K-function , 2004, Landscape Ecology.

[4]  R. Häggkvist,et al.  Second-order analysis of space-time clustering , 1995, Statistical methods in medical research.

[5]  Gino J. D'Angelo,et al.  Evaluation of Wildlife Warning Reflectors for Altering White-Tailed Deer Behavior Along Roadways , 2006 .

[6]  Peter J. Diggle,et al.  Simple Monte Carlo Tests for Spatial Pattern , 1977 .

[7]  O. Hjeljord,et al.  Moose and vegetation interactions in northwestern Europe and Poland , 1987 .

[8]  Robert A. Gitzen,et al.  Bandwidth Selection for Fixed-Kernel Analysis of Animal Utilization Distributions , 2006 .

[9]  D. Croft,et al.  Assessing the impacts of roads in peri-urban reserves: Road-based fatalities and road usage by wildlife in the Royal National Park, New South Wales, Australia , 2006 .

[10]  G. Cederlund,et al.  Home Range and Habitat Use of Adult Female Moose , 1988 .

[11]  M. Charlton,et al.  Quantitative geography : perspectives on spatial data analysis by , 2001 .

[12]  Tl Joyce,et al.  Spatial and Temporal Distributions of Moose-Vehicle Collisions in Newfoundland , 2001 .

[13]  Isabelle Thomas,et al.  Intra-urban location and clustering of road accidents using GIS: a Belgian example , 2004, Int. J. Geogr. Inf. Sci..

[14]  R. Forman,et al.  Patches and Structural Components for A Landscape Ecology , 1981 .

[15]  Andreas Seiler,et al.  Trends and spatial patterns in ungulate-vehicle collisions in Sweden , 2004, Wildlife Biology.

[16]  Space-time clustering of cowpox virus infection in wild rodent populations , 2005 .

[17]  A. Clevenger,et al.  Spatial patterns and factors influencing small vertebrate fauna road-kill aggregations , 2003 .

[18]  Anthony P. Clevenger,et al.  Highway mitigation fencing reduces wildlife-vehicle collisions , 2001 .

[19]  Zhe Jiang,et al.  Spatial Statistics , 2013 .

[20]  R S Morris,et al.  Spatio-temporal epidemiology of foot-and-mouth disease in two counties of Great Britain in 2001. , 2003, Preventive veterinary medicine.

[21]  J. Burt,et al.  Elementary statistics for geographers , 1995 .

[22]  B. Ripley The Second-Order Analysis of Stationary Point Processes , 1976 .

[23]  Mark R. T. Dale,et al.  Spatial Pattern Analysis in Plant Ecology: Spatial Pattern Analysis in Plant Ecology , 1999 .

[24]  D. Croft,et al.  Modelling of wildlife fatality hotspots along the Snowy Mountain Highway in New South Wales, Australia , 2005 .

[25]  Trevor C. Bailey,et al.  Interactive Spatial Data Analysis , 1995 .

[26]  Brian D. Ripley,et al.  Spatial Statistics: Ripley/Spatial Statistics , 2005 .

[27]  A. Clevenger,et al.  Factors Influencing the Effectiveness of Wildlife Underpasses in Banff National Park, Alberta, Canada , 2000 .

[28]  K. Schwabe,et al.  A Dynamic Exercise in Reducing Deer- Vehicle Collisions: Management Through Vehicle Mitigation Techniques and Hunting , 2002 .

[29]  David O'Sullivan,et al.  Geographic Information Analysis , 2002 .

[30]  P. Haase Spatial pattern analysis in ecology based on Ripley's K-function: Introduction and methods of edge correction , 1995 .

[31]  Atsuyuki Okabe,et al.  The K-Function Method on a Network and Its Computational Implementation , 2010 .

[32]  B. W. Moser,et al.  Effects of Telemetry Location Error on Space-Use Estimates Using a Fixed-Kernel Density Estimator , 2007 .

[33]  J F Morrall,et al.  Strategic highway improvements to minimize environmental impacts within the Canadian Rocky Mountain National Parks , 2000 .

[34]  Michael W. Hubbard,et al.  Factors influencing the location of deer-vehicle accidents in Iowa. , 2000 .

[35]  E. Hazebroek,et al.  Ungulate Traffic Collisions in Europe , 1996 .

[36]  R. Courtois,et al.  Temporal and spatial distribution of moose-vehicle accidents in the Laurentides Wildlife Reserve, Quebec, Canada , 2006 .

[37]  JOHN FIEBERG,et al.  Utilization Distribution Estimation Using Weighted Kernel Density Estimators , 2007 .

[38]  Peter J. Diggle,et al.  Statistical analysis of spatial point patterns , 1983 .

[39]  A. Seiler Predicting locations of moose–vehicle collisions in Sweden , 2005 .

[40]  Patrick Tracy McGowen,et al.  Wildlife-Vehicle Collision Reduction Study: Report to Congress , 2007 .

[41]  Jukka Matthias Krisp,et al.  Segmentation of lines based on point densities--an optimisation of wildlife warning sign placement in southern Finland. , 2007, Accident; analysis and prevention.

[42]  R. L. Peterson North American Moose , 1955 .

[43]  Lucy Bastin,et al.  Spatial aspects of MRSA epidemiology: a case study using stochastic simulation, kernel estimation and SaTScan , 2007, Int. J. Geogr. Inf. Sci..

[44]  C. C. Schwartz,et al.  Ecology and management of the North American moose , 1997 .