Design for simultaneous sampling of ecological variables: from concepts to numerical solutions

A multidisciplinary ecological study is in progress in the Thau marine lagoon, on the Mediterranean coast of France. Sampling is being conducted in two phases. Phase 1 is a pre-sampling program (pilot study), spaceand time-intensive, bearing on 10 variables only; it was conducted in 1986 and 1987. During phase 2, that began in 1988, more variables will be studied at fewer stations, and at the most appropriate time scales; the purpose is to increase our understanding of ecological processes through modelling. This paper examines the results of the pre-sampling program and attempts to determine how to distribute samples through space, and through time, in order to best sample the variability of the system. Through space, four methods are proposed to select 20 stations among 63. It is shown that none of the methods always performs better than all others, their power of reproducing the best part of the original variable's variability depending upon the shape of the spatial structure (gradient, patches, hole, etc.). It is also shown that all four methods are far more efficient at rendering the system's variability than either random or systematic sampling designs. Along the time axis, the hourly, daily and monthly sampling scales were compared as to their coefficients of variation for each variable, and the daily and monthly scales were selected as being, overall, the most informative for the processes under study.

[1]  George C. Williams,et al.  Sex and evolution. , 1975, Monographs in population biology.

[2]  G. Cauwet Automatic determination of dissolved organic carbon in seawater in the sub-ppm range , 1984 .

[3]  Pierre Legendre,et al.  Postglacial dispersal of freshwater fishes in the Québec peninsula , 1984 .

[4]  C. Darwin The formation of vegetable mould : through the action of worms, with observations on their habits / by Charles Darwin ; with illustrations. , 1882 .

[5]  J. Felsenstein The theoretical population genetics of variable selection and migration. , 1976, Annual review of genetics.

[6]  M. Bartlett,et al.  Stochastic Population Models in Ecology and Epidemiology. , 1961 .

[7]  L. Taylor Assessing and Interpreting the Spatial Distributions of Insect Populations , 1984 .

[8]  F. J. Anscombe,et al.  Sampling theory of the negative binomial and logarithmic series distributions. , 1950, Biometrika.

[9]  Robert R. Sokal,et al.  Spatial autocorrelation in biology: 2. Some biological implications and four applications of evolutionary and ecological interest , 1978 .

[10]  H. Levene,et al.  Genetic Equilibrium When More Than One Ecological Niche is Available , 1953, The American Naturalist.

[11]  P. T. Spieth Environmental Heterogeneity: A Problem of Contradictory Selection Pressures, Gene Flow, and Local Polymorphism , 1979, The American Naturalist.

[12]  E. G. Moberg Variation in the Horizontal Distribution of Plankton in Devils Lakec North Dakota , 1918 .

[13]  C. Huffaker Experimental studies on predation : dispersion factors and predator-prey oscillations , 1958 .

[14]  J. Watanabe The Influence of Recruitment, Competition, and Benthic Predation on Spatial Distributions of Three Species of Kelp Forest Gastropods (Trochidae: Tegula) , 1984 .

[15]  Harold E. Burkhart,et al.  Allocating inventory resources for multiple-use planning , 1978 .

[16]  M. Littler,et al.  The Roles of Compensatory Mortality, Physical Disturbance, and Substrate Retention in the Development and Organization of a Sand‐Influenced, Rocky‐Intertidal Community , 1982 .

[17]  Charles Darwin,et al.  The Formation of Vegetable Mould Through the Action of Worms with Observations on Their Habits , 1881 .

[18]  M. Stanton Searching in a Patchy Environment: Foodplant Selection by Colis P. Eriphyle Butterflies , 1982 .

[19]  R. Paine,et al.  Disturbance, patch formation, and community structure. , 1974, Proceedings of the National Academy of Sciences of the United States of America.

[20]  E. G. Moberg Horizontal Distribution of the Zooplankton in Devils lake, North Dakota , 1920 .

[21]  W. Anderson,et al.  Density-Regulated Selection in a Heterogeneous Environment , 1983, The American Naturalist.

[22]  L. Levin Life history and dispersal patterns in a dense infaunal polychaete assemblage: community structure and response to disturbance , 1984 .

[23]  Harvey J. Gold,et al.  Mathematical modeling of biological systems. An introductory guidebook. , 1977 .

[24]  R. Sokal,et al.  Spatial autocorrelation in biology: 1. Methodology , 1978 .

[25]  J. Ord,et al.  Spatial Processes. Models and Applications , 1982 .

[26]  J. Gower Some distance properties of latent root and vector methods used in multivariate analysis , 1966 .

[27]  Michael R. Anderberg,et al.  Cluster Analysis for Applications , 1973 .

[28]  M. Bulmer Stochastic Population Models in Ecology and Epidemiology , 1961 .

[29]  R. Vance The Effect of Dispersal on Population Stability in One-Species, Discrete-Space Population Growth Models , 1984, The American Naturalist.

[30]  Catherine E. Batch,et al.  Plant Spatial Pattern and Herbivore Population Dynamics: Plant Factors Affecting the Movement Patterns of a Tropical Cucurbit Specialist (Acalymma Innubum) , 1984 .

[31]  Ramón Margalef Perspectives in Ecological Theory , 1968 .

[32]  Robert M. May,et al.  Stability and Complexity in Model Ecosystems , 2019, IEEE Transactions on Systems, Man, and Cybernetics.

[33]  D. Padilla,et al.  Ecological neighborhoods: scaling environmental patterns , 1987 .

[34]  Alwyn E. Annels,et al.  Geostatistical Ore-reserve Estimation , 1991 .

[35]  R. May,et al.  Aggregation of Predators and Insect Parasites and its Effect on Stability , 1974 .

[36]  P. Legendre,et al.  Le programme Ecothau: théorie écologique et base de la modélisation , 1989 .

[37]  A. Aminot,et al.  Manuel des analyses chimiques en milieu marin , 1983 .

[38]  P. Moran Notes on continuous stochastic phenomena. , 1950, Biometrika.

[39]  Pierre Legendre,et al.  Aquatic heterotrophic bacteria: Modeling in the presence of spatial autocorrelation , 1988 .

[40]  J. MacQueen Some methods for classification and analysis of multivariate observations , 1967 .

[41]  A. G. Royle,et al.  Geostatistical ore reserve estimation. (Developments in geomathematics, 2.): M. David. Elsevier, Amsterdam, 1977, 364 pp., Dfl. 110.00 or US$ 44.95 , 1978 .

[42]  Michael Conrad Adaptability , 1926, Springer US.

[43]  L. C. Cole A Theory of Analyzing Contagiously Distributed Populations , 1946 .

[44]  P. Legendre,et al.  Dynamics of pollution-indicator and heterotrophic bacteria in sewage treatment lagoons , 1984, Applied and environmental microbiology.

[45]  J. Gower A General Coefficient of Similarity and Some of Its Properties , 1971 .

[46]  F. James Rohlf,et al.  Taxonomic Congruence in the Leptopodomorpha Re-examined , 1981 .

[47]  J. Neveux,et al.  Spectrofluorometric determination of chlorophylls and pheophytins. Their distribution in the western part of the Indian Ocean (July to August 1979) , 1986 .