Use of medial axis for reorientation by the Clark’s nutcracker (Nucifraga columbiana)

Many animals are challenged with the task of reorientation. Considerable research over the years has shown a diversity of species extract geometric information (e.g., distance and direction) from continuous surfaces or boundaries to reorient. How this information is extracted from the environment is less understood. Three encoding strategies that have received the most study are the use of principal axes, medial axis or local geometric cues. We used a modeling approach to investigate which of these three general strategies best fit the spatial search data of a highly-spatial corvid, the Clark's nutcracker (Nucifraga columbiana). Individual nutcrackers were trained in a rectangular-shaped arena, and once accurately locating a hidden goal, received non-reinforced tests in an L-shaped arena. The specific shape of this arena allowed us to dissociate among the three general encoding strategies. Furthermore, we reanalyzed existing data from chicks, pigeons and humans using our modeling approach. Overall, we found the most support for the use of the medial axis, although we additionally found that pigeons and humans may have engaged in random guessing. As with our previous studies, we find no support for the use of principal axes.

[1]  N. Newcombe,et al.  Is there a geometric module for spatial orientation? squaring theory and evidence , 2005, Psychonomic bulletin & review.

[2]  C. Gallistel The organization of learning , 1990 .

[3]  Alan Liu,et al.  The multiscale medial axis and its applications in image registration , 1994, Pattern Recognit. Lett..

[4]  Alan C. Kamil,et al.  Geometric rule learning by Clark's nutcrackers (Nucifraga columbiana). , 2000 .

[5]  P. Bednekoff,et al.  Long-term spatial memory in four seed-caching corvid species , 1997, Animal Behaviour.

[6]  Ken Cheng,et al.  Whither geometry? Troubles of the geometric module , 2008, Trends in Cognitive Sciences.

[7]  Russell P. Balda,et al.  Coadaptations of the Clark's nutcracker and the pinon pine for efficient seed harvest and dispersal. , 1977 .

[8]  Debbie M. Kelly,et al.  Size does not matter, but features do: Clark's nutcrackers (Nucifraga columbiana) weigh features more heavily than geometry in large and small enclosures , 2014, Behavioural Processes.

[9]  Giorgio Vallortigara,et al.  Spatial reorientation by geometry with freestanding objects and extended surfaces: a unifying view , 2012, Proceedings of the Royal Society B: Biological Sciences.

[10]  D. Bates,et al.  Fitting Linear Mixed-Effects Models Using lme4 , 2014, 1406.5823.

[11]  Erin W. Chambers,et al.  Extended grassfire transform on medial axes of 2D shapes , 2011, Comput. Aided Des..

[12]  K. Cheng A purely geometric module in the rat's spatial representation , 1986, Cognition.

[13]  A C Kamil,et al.  Way-finding and landmarks: the multiple-bearings hypothesis. , 2001, The Journal of experimental biology.

[14]  Valeria Anna Sovrano,et al.  Dissecting the Geometric Module , 2006, Psychological science.

[15]  M L Spetch,et al.  Pigeons encode relative geometry. , 2001, Journal of experimental psychology. Animal behavior processes.

[16]  Alan C. Kamil,et al.  The seed-storing corvid Clark's nutcracker learns geometric relationships among landmarks , 1997, Nature.

[17]  Peter M. Jones,et al.  Further evidence that rats rely on local rather than global spatial information to locate a hidden goal: reply to Cheng and Gallistel (2005). , 2006, Journal of experimental psychology. Animal behavior processes.

[18]  Bela Julesz,et al.  Medial-point description of shape: a representation for action coding and its psychophysical correlates , 1998, Vision Research.

[19]  G. Vallortigara,et al.  Searching for the center: spatial cognition in the domestic chick (Gallus gallus). , 2000, Journal of experimental psychology. Animal behavior processes.

[20]  G. Vallortigara,et al.  From natural geometry to spatial cognition , 2012, Neuroscience & Biobehavioral Reviews.

[21]  Ken Cheng,et al.  25 years of research on the use of geometry in spatial reorientation: a current theoretical perspective , 2013, Psychonomic Bulletin & Review.

[22]  D. Kelly,et al.  Are Clark's Nutcrackers (Nucifraga Columbiana) Able to Discriminate Knowledge States of Human Experimenters during an Object-Choice Task? , 2013, Evolutionary psychology : an international journal of evolutionary approaches to psychology and behavior.

[23]  Laurie L Bloomfield,et al.  Spatial encoding in mountain chickadees: features overshadow geometry , 2005, Biology Letters.

[24]  HARRY BLUM,et al.  Shape description using weighted symmetric axis features , 1978, Pattern Recognit..

[25]  James F. Reichert,et al.  Does Environmental Enrichment Reduce Stress? An Integrated Measure of Corticosterone from Feathers Provides a Novel Perspective , 2011, PLoS ONE.

[26]  How Clark’s nutcrackers (Nucifraga columbiana) weigh geometric cues depends on their previous experience , 2015, Animal Cognition.

[27]  Per B. Brockhoff,et al.  lmerTest Package: Tests in Linear Mixed Effects Models , 2017 .

[28]  Luca Tommasi,et al.  Representation of two geometric features of the environment in the domestic chick (Gallus gallus) , 2004, Animal Cognition.

[29]  Nancy M. Amato,et al.  A general framework for sampling on the medial axis of the free space , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[30]  B. Julesz,et al.  Perceptual sensitivity maps within globally defined visual shapes , 1994, Nature.

[31]  Marcia L. Spetch,et al.  Mechanisms of landmark use in mammals and birds. , 1998 .

[32]  Sang Ah Lee,et al.  Chicks, like children, spontaneously reorient by three-dimensional environmental geometry, not by image matching , 2012, Biology Letters.

[33]  Spencer J. Price,et al.  Testing Principal- Versus Medial-Axis Accounts of Global Spatial Reorientation , 2018, Journal of experimental psychology. Animal learning and cognition.

[34]  G. Vallortigara,et al.  Re-orienting in space: do animals use global or local geometry strategies? , 2010, Biology Letters.

[35]  Giorgio Vallortigara,et al.  View-based strategy for reorientation by geometry , 2010, Journal of Experimental Biology.

[36]  D. Kelly,et al.  Cache protection strategies of a non-social food-caching corvid, Clark’s nutcracker (Nucifragacolumbiana) , 2011, Animal Cognition.

[37]  K. Bodily,et al.  Of global space or perceived place? Comment on Kelly et al. , 2011, Biology Letters.

[38]  David Marr,et al.  VISION A Computational Investigation into the Human Representation and Processing of Visual Information , 2009 .

[39]  Stephane Durocher,et al.  Comparing geometric models for orientation: Medial vs. principal axes , 2011, Communicative & integrative biology.

[40]  C R Gallistel,et al.  Shape parameters explain data from spatial transformations: comment on Pearce et al. (2004) and Tommasi & Polli (2004). , 2005, Journal of experimental psychology. Animal behavior processes.

[41]  Ken Cheng,et al.  Reflections on geometry and navigation , 2005, Connect. Sci..

[42]  Ken Cheng,et al.  Landmark use by Clark’s nutcrackers (Nucifraga columbiana): influence of disorientation and cue rotation on distance and direction estimates , 2009, Animal Cognition.

[43]  K. Cheng,et al.  Mechanisms of animal global navigation: comparative perspectives and enduring challenges , 2005 .

[44]  Peter M. Jones,et al.  Transfer of spatial behavior between different environments: implications for theories of spatial learning and for the role of the hippocampus in spatial learning. , 2004, Journal of experimental psychology. Animal behavior processes.

[45]  Debbie M. Kelly,et al.  Reorienting in Virtual 3D Environments: Do Adult Humans Use Principal Axes, Medial Axes or Local Geometry? , 2013, PloS one.

[46]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[47]  Debbie M. Kelly,et al.  Pigeons' (Columba livia) encoding of geometric and featural properties of a spatial environment. , 1998 .

[48]  D. Marr,et al.  Representation and recognition of the spatial organization of three-dimensional shapes , 1978, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[49]  G. Vallortigara,et al.  A misunderstanding of principal and medial axes? Reply to Sturz & Bodily , 2011, Biology Letters.

[50]  Peter M. Jones,et al.  Potentiation, overshadowing, and blocking of spatial learning based on the shape of the environment. , 2006, Journal of experimental psychology. Animal behavior processes.