The relative importance of habitat complexity and surface area in assessing biodiversity: Fractal application on rocky shores

Abstract Theoretical work predicts that complex habitats allow more species to co-exist in a given area. However, more field studies are still needed to clarify this relationship, especially in intertidal habitats. Furthermore, the potential separate effects of surface complexity and area on species richness and abundance have rarely been addressed. We tested the hypotheses that a more complex substratum or larger surface area will support a greater number of individuals and species of mobile macrofauna on three rocky shores in Hong Kong. Surface complexity, assessed by using fractals, was an important factor in species–area relationships. The number of species increased proportionally to habitat complexity and this relationship was homogeneous among different shores. Total abundance of animals, however, was more dependent on the available surface area. The slope of the size–frequency distribution of animals in samples taken on surfaces with different fractal dimensions (D) was significantly steeper with an increase in fractal dimension, showing that the relative abundance of small animals increased with surface complexity. Thus, surface complexity and area may be important in determining different aspects of the macrofaunal community structure on rocky shores. The resulting increase in surface area on more rough surfaces may introduce bias in density and species number assessments when two-dimensional sampling units (i.e., quadrats) are employed. It is necessary, therefore, to account for the surface complexity in the design and interpretation of the results of benthic studies. Using D as an index of surface complexity is very useful, but also involves some practical problems, e.g., surfaces may be anisotropic and different methods may give different estimates of D. Therefore, these different methods need to be calibrated before comparisons of D values between them are meaningful.

[1]  B. Morton,et al.  An Introduction To The Cape D'aguilar Marine Reserve, Hong Kong , 1995 .

[2]  J. Lawton,et al.  Fractal dimension of vegetation and the distribution of arthropod body lengths , 1985, Nature.

[3]  Bai-Lian Li,et al.  Fractal geometry applications in description and analysis of patch patterns and patch dynamics , 2000 .

[4]  M. Chapman,et al.  Experimental analyses of the influences of topography of the substratum on movements and density of an intertidal snail, Littorina unifasciata , 1989 .

[5]  P. S. Lake,et al.  Species richness of stream stones: an investigation of the mechanisms generating the species-area relationship , 1994 .

[6]  Christopher H. Scholz,et al.  Fractal analysis applied to characteristic segments of the San Andreas Fault , 1987 .

[7]  R. Warwick,et al.  Body-size distribution in a marine metazoan community and the fractal dimensions of macroalgae , 1994 .

[8]  R. Lord,et al.  The Pattern of Animal Communities , 1967 .

[9]  R. W. Hiorns,et al.  The mathematical theory of the dynamics of biological populations : based on a conference organised by the Institute of Mathematics and Its Applications in association with the Institute of Biology , 1975 .

[10]  K. Sebens Habitat structure and community dynamics in marine benthic systems , 1991 .

[11]  Tim M. Blackburn,et al.  Abundance, body size and biomass of arthropods in tropical forest , 1993 .

[12]  G. E. Hutchinson,et al.  A Theoretical Ecological Model of Size Distributions Among Species of Animals , 1959, The American Naturalist.

[13]  Daniel Simberloff,et al.  Ecological Communities: Conceptual Issues and the Evidence , 1984 .

[14]  P. Schmid,et al.  Fractal Properties of Habitat and Patch Structure in Benthic Ecosystems , 1999 .

[15]  G. Graves,et al.  Multiscale assessment of patterns of avian species richness , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[16]  Commito,et al.  Structural complexity in mussel beds: the fractal geometry of surface topography. , 2000, Journal of experimental marine biology and ecology.

[17]  J. Damuth,et al.  Population density and body size in mammals , 1981, Nature.

[18]  Stephen R. Brown A note on the description of surface roughness using fractal dimension , 1987 .

[19]  James P. Barry,et al.  Physical Heterogeneity and the Organization of Marine Communities , 1991 .

[20]  J. Kerr,et al.  Remotely sensed habitat diversity predicts butterfly species richness and community similarity in Canada , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[21]  P. Cotgreave The relationship between body size and population abundance in animals. , 1993, Trends in ecology & evolution.

[22]  S. D. Garrity Some adaptations of gastropods to physical stress on a tropical rocky shore , 1984 .

[23]  J. Castilla,et al.  Scaling Population Density to Body Size in Rocky Intertidal Communities , 1990, Science.

[24]  Dolph Schluter,et al.  Species diversity in ecological communities: historical and geographical perspectives. , 1993 .

[25]  G. E. Hutchinson,et al.  Homage to Santa Rosalia or Why Are There So Many Kinds of Animals? , 1959, The American Naturalist.

[26]  S. Bell,et al.  Habitat Structure , 1991, Population and Community Biology Series.

[27]  James H. Brown,et al.  A General Model for the Origin of Allometric Scaling Laws in Biology , 1997, Science.

[28]  G. Williams The relationship between shade and molluscan grazing in structuring communities on a moderately-exposed tropical rocky shore , 1994 .

[29]  M. Tsuchiya,et al.  Islands of Mytilus as a habitat for small intertidal animals: effect of island size on community structure , 1985 .

[30]  B. Kelaher,et al.  Changes in habitat complexity negatively affect diverse gastropod assemblages in coralline algal turf , 2003, Oecologia.

[31]  E. Bourget,et al.  Importance of physical and biological settlement cues used at different spatial scales by the larvae of Semibalanus balanoides , 1988 .

[32]  A. Underwood,et al.  11. Paradigms, Explanations, and Generalizations in Models for the Structure of Intertidal Communities on Rocky Shores , 1984 .

[33]  M. McCormick,et al.  Comparison of field methods for measuring surface topography and their associations with a tropical reef fish assemblage , 1994 .

[34]  B. Downes,et al.  HABITAT STRUCTURE AND REGULATION OF LOCAL SPECIES DIVERSITY IN A STONY, UPLAND STREAM , 1998 .

[35]  B. Morton The sea shore ecology of Hong Kong , 1983 .

[36]  M. Palmer,et al.  The Coexistence of Species in Fractal Landscapes , 1992, The American Naturalist.

[37]  J. Geller Gastropod grazers and algal colonization on a rocky shore in northern California: the importance of the body size of grazers , 1991 .

[38]  K. Gaston,et al.  Animal body size distributions: patterns, mechanisms and implications. , 1994, Trends in ecology & evolution.

[39]  K. Johannesson,et al.  Microdistribution of the polymorphic snail Littorina saxatilis (Olivi) in a patchy rocky shore habitat , 1997 .

[40]  D. Morritt,et al.  Habitat partitioning and thermal tolerance in a tropical limpet, Cellana grata , 1995 .

[41]  Bai-lian Li,et al.  A note on metabolic rate dependence on body size in plants and animals. , 2003, Journal of theoretical biology.

[42]  J. Lawton,et al.  Non-metabolic explanations for the relationship between body size and animal abundance , 1993 .

[43]  Nigel N. Clark,et al.  Three techniques for implementing digital fractal analysis of particle shape , 1986 .

[44]  C. Stamatopoulos,et al.  Mapping growth and mortality rates of crevice-dwelling organisms onto a perforated surface: The relevance of ‘cover’ to the carrying capacity of natural and artificial habitats , 1990 .

[45]  V. Kostylev Spatial heterogeneity and habitat complexity affecting marine littoral fauna. , 1996 .

[46]  F. Chia,et al.  Distribution and dispersal of early juvenile snails: effectiveness of intertidal microhabitats as refuges and food sources , 1995 .

[47]  T. Fenchel There are more small than large species , 1993 .

[48]  T. R. E. Southwood,et al.  Tactics, strategies and templets* , 1988 .

[49]  J. Lubchenco,et al.  Diversity, heterogeneity and consumer pressure in a tropical rocky intertidal community , 1985, Oecologia.

[50]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[51]  P. Schwinghamer Generating ecological hypotheses from biomass spectra using causal analysis: a benthic example , 1983 .

[52]  T. R. E. Southwood,et al.  HABITAT, THE TEMPLET FOR ECOLOGICAL STRATEGIES? , 1977 .

[53]  S. Levin The problem of pattern and scale in ecology , 1992 .

[54]  J. Lawton,et al.  Fractal geometry of ecological habitats , 1991 .

[55]  Michael LaBarbera,et al.  ANALYZING BODY SIZE AS A FACTOR IN ECOLOGY AND EVOLUTION , 1989 .

[56]  M. Jeffries Invertebrate colonization of artificial pondweeds of differing fractal dimension , 1993 .

[57]  Bai-lian Li,et al.  ENERGY PARTITIONING BETWEEN DIFFERENT-SIZED ORGANISMS AND ECOSYSTEM STABILITY , 2004 .

[58]  David G. Green,et al.  Fractals in ecology: methods and interpretation , 1984 .

[59]  Johan Erlandsson,et al.  Trail following, speed and fractal dimension of movement in a marine prosobranch, Littorina littorea, during a mating and a non-mating season , 1995 .

[60]  P. C. McWilliams,et al.  Ambiguities in estimating fractal dimensions of rock fracture surfaces , 1990 .

[61]  T. Case,et al.  Habitat structure determines competition intensity and invasion success in gecko lizards. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[62]  J. Hills,et al.  Settlement of barnacle larvae is governed by Euclidean and not fractal surface characteristics , 1999 .

[63]  R. Peters The Ecological Implications of Body Size , 1983 .

[64]  Stephen J. Hawkins,et al.  The area‐independent effects of habitat complexity on biodiversity vary between regions , 2003 .

[65]  M. Huston A General Hypothesis of Species Diversity , 1979, The American Naturalist.

[66]  R. Warwick,et al.  Metazoan community structure in relation to the fractal dimensions of marine macroalgae , 1994 .

[67]  George Sugihara,et al.  Fractals: A User's Guide for the Natural Sciences , 1993 .

[68]  M Denny,et al.  Are there mechanical limits to size in wave-swept organisms? , 1985, The Journal of experimental biology.

[69]  A field technique for estimating the influence of surface complexity on movement tortuosity in the tropical limpet cellana grata gould , 1999 .

[70]  C. Kampichler,et al.  Roughness of soil pore surface and its effect on available habitat space of microarthropods , 1993 .

[71]  B. L. Cox,et al.  Fractal Surfaces: Measurement and Applications in the Earth Sciences , 1993 .

[72]  P. Kareiva Population dynamics in spatially complex environments: theory and data , 1990 .