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Computer tools for the analysis of schooling

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Synopsis

Quantification of fish school structure is difficult because of: (1) the large amount of positional data that must be recorded, (2) the fact that schools are moving, and (3) the fact that schools are threedimensional. Computer tools for addressing these problems include x,y digitizing devices interfaced to computers and interactive computer graphics systems. General computer algorithms now exist for 3-D reconstruction of schools given any two 2-D views such as photographs.

Our computerized film analyzer, the Galatea system, is described in detail. This system allows for rapid, accurate input of multiple points which can be followed through each frame in a film sequence. Its software packages perform 3-D reconstructions, analyze undulatory motion, and do extensive statistical tests.

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References cited

  • Box, G.E.P. & G.M. Jenkins. 1970. Time series analysis: forecasting and control. Holden-Day, San Francisco, 575 pp.

    Google Scholar 

  • Breder, C.M., Jr. 1954. Equations descriptive of fish schools and other animal aggregations. Ecology 35: 361–370.

    Google Scholar 

  • Burgess, J.W. 1979. Measurement of spatial behavior: methodology applied to rhesus monkeys, neon tetras, communal and solitary spiders, cockroaches and gnats in open fields. Behav. & Neural Biol. 26: 132–160.

    Google Scholar 

  • Burgess, J.W. & E. Shaw. 1979. Development and ecology of fish schooling. Oceanus 22: 11–17.

    Google Scholar 

  • Clark, P.J. & F.C. Evans. 1979. Generalization of a nearest neighbor measure of dispersion for use in K dimensions. Ecology 60: 316–317.

    Google Scholar 

  • Cullen, J.M., E. Shaw & H.A. Baldwin. 1965. Methods for measuring the three-dimensional structure of fish schools. Anim. Behav. 13: 534–543.

    Google Scholar 

  • Dambach, M. 1963. Vergleichende Untersuchungen über das Schwarmverhalten von Tilapia — Jungfischen (Cichlidae. Teleostei). 2. Tierpsychol. 20: 267–296.

    Google Scholar 

  • Dill, L.M. & R.L. Dunbrack & P.F. Major. 1981. A new stereophotographic technique for analyzing the three-dimensional structure of fish schools. Env. Biol. Fish. 6: 7–13.

    Google Scholar 

  • Duda, R.O. & P.E. Hart. 1973. Pattern classification and scene analysis. Wiley, N.Y. 482 pp.

    Google Scholar 

  • Hunter, J.R. 1965. Procedure for analysis of schooling behavior. J. Fish. Res. Board Can. 23: 547–562.

    Google Scholar 

  • Hurley, A.C. 1978. School structure of the squidLoligo opalescens. U.S. Fish. Bull. 76: 433–442.

    Google Scholar 

  • Katz, L.C., M.J. Potel & R.J. Wassersug. 1981. Structure and mechanisms of schooling in tadpoles of the clawed frog,Xenopus laevis. Anim. Behav. 29: 20–33.

    Google Scholar 

  • Major, P.F. & L.M. Dill. 1978. The three-dimensional structure of airborne bird flocks. Behav. Ecol. Sociobiol. 4 111–122.

    Google Scholar 

  • Muybridge, E. 1887. Animal locomotion. University of Pennsylvania. Philadelphia. (Selected reprints In: Animals in Motion, Dover, New York (1957)).

    Google Scholar 

  • Newman, W.M. & R.F. Sproull. 1979. Principles of interactive computer graphics, 2nd Ed. McGraw-Hill, N.Y. 541 pp.

    Google Scholar 

  • Otnes, R.K. & L. Enochson. 1978. Applied time series analysis. Vol I: Basic techniques. Wiley, N.Y. 449 pp.

  • Partridge, B.L. 1980. The effect of school size on the structure and dynamics of minnow schools. Anim. Behav. 28: 68–77.

    Google Scholar 

  • Partridge, B.L. & J.M. Cullen. 1977. A low cost interactive coordinate plotter. Behav. Res. Meth. & Instr. 9: 473–479.

    Google Scholar 

  • Partridge, B.L. & T.J. Pitcher. 1980. The sensory basis of fish schools: relative roles of lateral line and vision. J. Comp. Physiol. 135: 315–325.

    Google Scholar 

  • Partridge, B.L., T. Pitcher, J.M. Cullen & J. Wilson. 1980. The three-dimensional structure of fish schools. Behav. Ecol. Sociobiol. 6: 277–288.

    Google Scholar 

  • Pitcher, T.J. 1973. The 3-dimensional structure of schools in the minnow (Phoxinus phoxinus). Anim. Behav. 21: 673–686.

    Google Scholar 

  • Pitcher, T.J. 1975. A periscopic method for determining the three-dimensional positions of fish in schools. J. Fish. Res. Board Can. 32: 1533–1538.

    Google Scholar 

  • Pitcher, T. 1979. Sensory information and the organization of behavior in a shoaling cyprinid fish. Anim. Behav. 27: 126–149.

    Google Scholar 

  • Pitcher, T.J. & B.L. Partridge. 1979. Fish school density and volume. Mar. Biol. 54: 383–394.

    Google Scholar 

  • Potel, M.J. & S.A. MacKay. 1979. Preaggregative cell motion inDictyostelium, J. Cell. Sci. 36: 281–309.

    Google Scholar 

  • Potel, M.J., R.F. Sayre & S.A. MacKay. 1980. Graphics input tools for interactive motion analysis. Comput. Graphics & Image Processing 14: 1–23.

    Google Scholar 

  • Potel, M.J., R.E. Sayre & A. Robertson. 1979. A system for interactive film analysis. Comput. Biol. Med. 9: 237–256.

    Google Scholar 

  • Radakov, D.V. 1973. Schooling in the ecology of fish. John Wiley & Sons, New York, New York. 173 pp.

    Google Scholar 

  • Rogers, D.J. & J.A. Adams. 1976. Mathematical elements for computer graphics. McGraw-Hill, N.Y. 239 pp.

    Google Scholar 

  • Rubin, J.M., N.J. Patronas, E.E. Duda, R.E. Sayre & M.J. Potel. 1980. Clinical applications of combined cerebral angiograms and brain CT scans. Amer. J. Neuroradiology 1: 83–87.

    Google Scholar 

  • Rubin, J.M. & R.E. Sayre. 1978. A computer-aided technique for overlaying cerebral angiograms onto computed tomograms. Investigative Radiology 13: 362–367.

    Google Scholar 

  • Rubin, J. 1978a. A comparative study of tadpole locomotion. Amer. Zool. 17: 973.

    Google Scholar 

  • Rubin, J. 1978b. Computer-aided film analysis of tadpole swimming. M. Sc. Thesis. Dept. of Anatomy. Univ. of Chicago. 39 pp.

  • Sakamoto, W., T. Inagaki & T. Kuroki. 1976. Studies on the schooling behavior of fish — IV some discussions concerning continuity of swimming speed and response time of individuals. Bull. Jap. Soc Sci. Fisheries 42: 1083–1091.

    Google Scholar 

  • Sayre, R.E., J.M. Rubin, E.E. Duda & N.J. Patronas. 1979. Quantitative three-dimensional angiograms: applications, including augmentation of computed tomograms. pp. 95–102. Proc. IEEE 6th Conf. on Comput. Applic. in Radiology, Newport Beach, CA.

  • Shaw, E. 1978. Schooling fishes. Amer. Sci. 66: 66–125.

    Google Scholar 

  • Southwood, T.R.E. 1978. Ecological methods. Chapman and Hall, London, England. 524 pp.

    Google Scholar 

  • Stauffer, H.B. 1979. A generalization of Pielou's index of nonrandomness. J. Theor. Biol. 77: 19–25.

    Google Scholar 

  • Sutherland, I.E. 1974. Three-dimensional data input by tablet. Proc. IEEE 62: 453–461.

    Google Scholar 

  • Symons, P.E.K. 1971. Spacing and density in schooling threespine sticklebacks (Gasterosteus aculeatus) and mummichog (Fundulus heteroclitus). J. Fish. Res. Board Can. 28: 999–1004.

    Google Scholar 

  • Thompson, M.M. (ed.) 1966. Manual of photogrammetry, 3rd. Ed. American Society of Photogrammetry, Washington, D.C. 1199 pp.

  • Underwood, E.E. 1970. Quantitative Stereology. Addison-Wesley, Reading, M.A. 274 pp.

    Google Scholar 

  • Wassersug, R., A. Lum & M. Potel. 1981. An analysis of school structure for tadpoles (Anura: Amphibia). Behav. Fcol. Sociobiol. (submitted).

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Authors and Affiliations

  1. Department of Biophysics and Theoretical Biology, The University of Chicago, 60637, Chicago, Illinois, U.S.A.

    Michael J. Potel

  2. Department of Anatomy and the Committee on Evolutionary Biology, The University of Chicago, 60637, Chicago, Illinois, U.S.A.

    Richard J. Wassersug

Authors
  1. Michael J. Potel
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  2. Richard J. Wassersug
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Potel, M.J., Wassersug, R.J. Computer tools for the analysis of schooling. Environ Biol Fish 6, 15–19 (1981). https://doi.org/10.1007/BF00001794

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  • DOI: https://doi.org/10.1007/BF00001794

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