Abstract
As it is normally impossible to count all the invertebrates in a habitat, it is necessary to estimate the population by sampling; naturally the estimates should have the highest accuracy commensurate with the amount of work expended, and if this is to be so a sampling programme which lays down the distribution, size and number of samples will need to be drawn up. There is no universal sampling method and although the statistical principles are given in Cochran (1963), Hansen, Hurwitz & Madow (1953), Stuart (1962), Yates (1953), Elliott (1971), Elliott & Decamps (1973), and Seber (1973), ‘the sampling of a particular insect population must be resolved about the distribution and life-cycle of the insect involved’ (Graham & Stark, 1954). Assuming that the life-cycle is known, preliminary work will be necessary to gain some knowledge of the distribution of the insect and the cost (work involved) of sampling; the worker will also need to be quite clear as to the exact problem he is proposing to investigate (Lamb, 1958; Morris, 1960; Strickland, 1961). The importance of careful formulation of the hypothesis for test cannot be overstressed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Abrahamsen, G., 1969. Sampling design in studies of population densities in Enchytraeidae (Oligochaeta). Oikos 20, 54–66.
Abrahamsen, G. and Strand, L., 1970. Statistical analysis of population density data of soil animals, with particular reference to Enchytraeidae (Oligochaeta). Oikos 21, 276–284.
Andersen, F. S., 1965. The negative binomial distribution and the sampling of insect populations. Proc. XII int. Congr. Ent. 395.
Anderson, R. M., 1974. Population dynamics of the cestode Caryophyllaeus laticeps (Pallas, 1781) in the bream (Abramis brama L.). J. Anim. Ecol. 43, 305–321.
Anon., 1955. British Instrument Industries’ exhibition. Engineering 180 (22 July 1955). Particle sampling p. 116.
Anscombe, F. J., 1948. On estimating the population of aphids in a potato field. Ann. appl. Biol. 35, 567–571
Anscombe, F. J., 1949. The statistical analysis of insect counts based on the negative binomial distribution. Biometrics 5, 165–173.
Anscombe, F. J., 1950. Sampling theory of the negative binomial and logarithmic series distributions, Biometrika 37, 358–382.
Arbous, A. G. and Kerrich, J. E., 1951. Accident statistics and the concept of accident-proneness. Biometrics 7, 340–432.
Bailey, N. T. J., 1959. Statistical methods in biology. 200 pp., English Universities Press, London.
Bancroft, T. A. and Brindley, T. A., 1958. Methods for estimation of size of corn borer populations. Proc. X int. Congr. Ent. 2, 1003–1014.
Banerjee, B., 1976. Variance to mean ratio and the spatial distribution of animals. Experientia 32, 993–994.
Bardner, R. and Lofty, J. R., 1971. The distribution of eggs, larvae and plants with crops attacked by wheat bulb fly, Leptohylemyia coarctata (Fall.). J. appl. Ecol. 8, 683–686.
Beall, G., 1942. The transformation of data from entomological field experiments so that the analysis of variance becomes applicable. Biometrika 32, 243–362.
Beauchamp, J. J. and Olson, J. S., 1973. Corrections for bias in regression estimates after logarithmic transformation. Ecology 54, 1403–1407.
Berthet P. and Gerard, G., 1965. A statistical study of microdistribution of Oribatei (Acari). Part I. The distribution pattern. Oikos 16, 214–227.
Blackith, R. E., 1958. Nearest-neighbour distance measurements for the estimation of animal populations. Ecology 39, 147–150.
Blackith, R. E., Siddorn, J. W., Waloff, N. and Emden, H. F. van, 1963. Mound nests of the yellow ant, Lasius flavus L., on water-logged pasture in Devonshire. Ent. mon. Mag. 99, 48–49.
Bliss, C. I., 1958. The analysis of insect counts as negative binomial distributions. Proc. X int. Congr. Ent. 2, 1015–1032.
Bliss, C. I., 1971. The aggregation of species within spatial units. In Patil, G. P., Pielou, E. C. & Waters, W. E. (eds.), Statistical Ecology 1 (Spatial Patterns and Statistical distributions), pp. 311–335, Penn State University Press, Philadelphia.
Bliss, C. I. and Calhoun, D. W., 1954. An outline of biometry. Yale Co-operative Corp., New Haven.
Bliss, C. I. and Fisher, R. A., 1953. Fitting the negative binomial distribution to biological data and note on the efficient fitting of the negative binmial. Biometrics 9, 176–200.
Bliss, C. I. and Owen, A. R. G., 1958. Negative binomial distributions with a common k. Biometrika 45, 37–58.
Breder, C. M., 1954. Equations descriptive of fish schools and other animal aggregations. Ecology 35, 361–370.
Broadbent, L., 1948. Methods of recording aphid populations for use in research on potato virus diseases. Ann. appl. Biol. 35, 551–566.
Browning, T. O., 1959. The long-tailed mealybug, Pseudococcus adonidum L. in South Australia. Aust. J. Agric. Res. 10, 322–337.
Bryant, D. G., 1976. Sampling populations of Adelges piceae (Homoptera: Phylloxe-ridae) on Balsam fir, Abies balsamea. Can. Ent. 108, 1113–1124.
Burrage R. H. and Gyrisco, G. G., 1954. Estimates of populations and sampling variance of European chafer larvae from samples taken during the first, second and third instar. J. econ. Ent. 47, 811–817.
Camin, J. H., George, J. E., and Nelson, V. E., 1971. An automatic tick collector for studying the rhythmicity of “drop off” Ixodidae. J. med. Ent. 8, 394–398.
Cassie, R. M., 1954. Some uses of probability paper in the analysis of size frequency distribution. Aust. J. Mar. Freshw. Res. 5, 513–522.
Cassie, R. M., 1962. Frequency distribution models in the ecology of plankton and other organisms. J. Anim. Ecol. 31, 65–92.
Chiang, H. C. and Hodson, A. C., 1959. Distribution of the first-generation egg masses of the European corn borer in corn fields. J. econ. Ent. 52, 295–299.
Church, B. M. and Strickland, A. H., 1954. Sampling cabbage aphid populations on brussels sprouts. Plant Path. 3, 76–80.
Clark, P. J. and Evans, F. C., 1954. Distance to nearest neighbor as a measure of spatial relationships in populations. Ecology 35, 445–453.
Cochran, W. G., 1963. Sampling techniques. 2nd ed. 413 pp., Wiley, New York.
Cole, L. C., 1946. A theory for analyzing contagiously distributed populations. Ecology 27, 329–341.
Cole, W. E., 1970. The statistical and biological implications of sampling units for mountain pine beetle populations in lodgepole pine. Res. Popul. Ecol. 12, 243–248.
Condrashoff, S. F., 1964. Bionomics of the aspen leaf miner, Phyllocnistis populiella Cham. (Lepidoptera: Gracillariidae). Can. Ent. 96, 857–874.
Connola, D. P., Waters, W. E. and Nason, E. R., 1959. A sequential sampling plan for Red-pine sawfly Neodiprion nanulus Schedi. J. econ. Ent. 52, 600–602.
Connola, D. P., Waters, W. E. and Smith, W. E., 1957. The development and application of a sequential sampling plan for forest tent caterpillar in New York. Bull. N. Y.St. Mus. Sci. Serv. 366, 22 pp.
Corbet, P. S. and Smith, S. M., 1974. Diel periodicities of landing of multiparous and parous Aedes aegypti (L.) at Dar es Salaam, Tanzania (Diptera, Culicidae). Bull. ent. Res. 64, 111–121.
Cornfield, J., 1951. The determination of sample size. Am. J. Pub. Health 41, 654–661.
Coulson, R. N., Hain, F. P., Foltz, J. L. and Mayyasi, A. M., 1975. Techniques for sampling the dynamics of Southern Pine beetle populations. Texas Agric. Exp. Stn. Misc. Pub. 1185, 3–18.
Coulson, R. N., Pulley, P. E., Foltz, J. L. and Martin, W. C., 1976. Procedural guide for quantitatively sampling within-tree populations of Dendroctonus frontalis. Texas Agric. Exp. Stn. Misc. Pub. 1267, 3–26.
Cox, D. R. and Smith, W. L., 1957. On the distribution of Tribolium confusum in a container. Biometrika 44, 328–335.
Craig, C. C., 1953. On a method of estimating biological populations in the field. Biometrika 40, 216–218.
Croft, B. A., Welch, S. M. and Dover, M. J., 1976. Dispersion statistics and sample size estimates for populations of the mite species Panonychus ulmi and Amblyseius fallacis on Apple. Environmental Ent. 5, 227–234.
Crofton, H. D., 1971. A quantitative approach to parasitism. Parasitology 62, 179–193.
David, F. N. and Moore, P. G., 1954. Notes on contagious distributions in plant populations. Ann. Bot. Lond. N. S. 18, 47–53.
Davies, R. G., 1971. Computer Programming in Quantitative Biology. 492 pp., Academic Press, London and New York.
Davis, E. G. and Wadley, F. M., 1949. Grasshopper egg-pod distribution in the northern Great Plains and its relation to egg-survey methods. U.S.D.A. Circ. 816, 16 pp.
Dean, H. A., 1959. Quadrant distribution of mites on leaves of Texas grapefruit. J. econ. Ent. 52, 725–727.
Debauche, H. R., 1962. The structural analysis of animal communities of the soil. In Murphy, P. W. (ed.), Progress in soil zoology, 10–25.
Deevey, E. S., 1947. Life tables for natural populations of animals. Quart. Rev. Biol. 22, 283–314.
Dempster, J. P., 1957. The population dynamics of the Moroccan locust (Dociostaurus maroccanus Thunberg.) in Cyprus. Anti-locust Bull. 27, 60 pp.
Dudley, C. O., 1971. A sampling design for the egg and first instar larval populations of the western pine beetle, Dendroctonus brevicomis (Coleoptera: Scolytidae). Can. Ent. 103, 1291–1313.
Dybas, H. S. and Davis, D. D., 1962. A population census of seventeen-year periodical cicadas (Homoptera: Cicadidae: Magicicada). Ecology 43, 432–444.
Eberhardt, L. L., 1967. Some developments in ‘distance sampling’. Biometrics 23, 207–216.
Edwards, R. L., 1962. The importance of timing in adult grasshopper surveys. J. econ. Ent. 55, 263–264.
Egwuatu, R. I. and Taylor, T. A., 1975. Aspects of the spatial distribution of Acanthomia tomentosicollis Stal. (Heteroptera, Coreidae) in Cajanus cajan (Pigeon Pea). J. econ. Ent. 69, 591–594.
Ellenberger, J. S. and Cameron, E. A., 1977. The spatial distribution of oak leaf roller egg masses on primary host trees. Environmental Ent. 6, 101–106.
Elliott, J. M., 1971. Some methods for the statistical analysis of samples of benthic invertebrates. Sci. Publ. Freshw. Biol. Assoc. 25, 148 pp.
Elliott, J. M. and Decamps, H., 1973. Guide pour l’analyse statistique des ećhantillons d’invertébrés benthiques. Annls. limnol. 9, 79–120.
Emden, H. F. van., Jepson, W. F. and Southwood, T. R. E., 1961. The occurrence of a partial fourth generation of Oscinella frit L. (Diptera: Chloropidae) in southern England. Entomologia exp. appl. 4, 220–225.
Evans, D. A., 1953. Experimental evidence concerning contagious distributions in ecology. Biometrika 40, 186–211.
Evans, D. E., 1972. The spatial distribution and sampling of Aeneolamis varia saccharina and A. postien fugata (Homoptera: Cercopidae). Entomologia exp. appl. 15, 305–318.
Evans, F. C., Clark, P. J. and Brand, R. H., 1955. Estimation of the number of species present in a given area. Ecology 36, 342–343.
Ferguson, J. H. A., 1957. Some applications of binomial probability paper in genetic analyses. Euphytica 5, 329–338.
Fewkes, D. W., 1961. Stool size as a factor in the sampling of sugarcane froghopper nymph populations. J. econ. Ent. 54, 771–772.
Finney, D. J., 1941. Wireworm populations and their effect on crops. Ann. appl. Biol. 28, 282–295.
Finney, D. J., 1973. Transformation of observations for statistical analysis Cott. Gr. Rev. 50, 1–14.
Finney, D. J. and Varley, G. C., 1955. An example of the truncated Poisson distribution. Biometrics 11, 387–394.
Fisher, R. A., Corbet, A. S. and Williams, C. B., 1943. The relation between the number of species and the number of individuals in a random sample of an animal population. J. Anim. Ecol. 12, 42–58.
Ford, R. P. and Dimond, J. B., 1973. Sampling populations of pine leaf chermid Pirieus pinifoliae (Homoptera: Chermidae) II. Adult Gallicolae on the secondary host. Can. Ent. 105, 1265–1274.
Forsythe, H. Y. and Gyrisco, G. G., 1961. Determining the appropriate transformation of data from insect control experiments for use in the analysis of variance. J. econ. Ent. 54, 859–861.
Forsythe, H. Y. and Gyrisco, G. G., 1963. The spatial pattern of the pea aphid in alfalfa fields. J. econ. Ent., 56, 104–107.
Fracker, S. B. and Brischle, H. A. 1944. Measuring the local distribution of Ribes. Ecology 25, 283–303.
Gardefors, D. and Orrhage, L., 1968. Patchiness of some marine bottom animals. A methodological study. Oikos 19, 311–321.
Gaufin, A. R., Harris, E. K. and Walter, H. J., 1956. A statistical evaluation of stream bottom sampling data obtained from three standard samples. Ecology 37, 643–648.
George, D. G., 1974. Dispersion patterns in the zooplankton populations of a eutrophic reservoir. J. Anim. Ecol. 43, 537–551.
Gerrard, D. J. and Chiang, H. C., 1970. Density estimation of corn rootworm egg populations based upon frequency of occurrence. Ecology 51, 237–245.
Gerrard, D. J. and Cook, R. D., 1972. Inverse binomial sampling as a basis for estimating negative binomial population densities. Biometrics 28, 971–980.
Glass, L. W. and Boubjerg, R. V., 1969. Density and dispersion in laboratory populations of caddis fly larvae (Cheumatopsyche, Hydropsychidae). Ecology 50, 1082–1084.
Gleason, H. A., 1922. On the relation between species and area. Ecology 3, 158–162.
Gonzalez, D., 1970. Sampling as a basis for pest management strategies. Tall Timbers Confr. Ecological Animal Control by Habitat Management 2, 83–101.
Good, I. J. and Toulmin, G. H., 1956. The number of new species, and the increase in population coverage, when a sample is increased. Biometrika 43, 45–63.
Goodall, D. W., 1952. Quantitative aspects of plant distribution. Biol. Rev. 27, 194–245.
Goulden, C. H., 1952. Methods of statistical analysis (2nd ed.), Wiley, New York, 467 pp.
Graham, K. and Stark, R. W., 1954. Insect population sampling. Proc. ent. Soc. B. C. 51, 15–20.
Green, R. H., 1966. Measurement of non-randomness in spatial distributions. Res. Popul. Ecol. 8, 1–7.
Green, R. H., 1970. On fixed precision level sequential sampling. Res. Popul. Ecol. 12, 249–251.
Gregor, J., 1969. An algorithm for the decomposition of a distribution into Gaussian components. Biometrics 25, 79–93.
Greig-Smith, P., 1964. Quantitative plant ecology (2nd ed.). 256 pp., Butterworths, London.
Grundy, P. M., 1952. The fitting of grouped truncated and grouped censored normal distributions. Biometrika 39, 252–259.
Guppy, J. C. and Harcourt, D. G., 1970. Spatial pattern of the immature stages and teneral adults of Phyllophaga spp. (Coleoptera: Scarabaeidae) in a permanent meadow. Can. Ent. 102, 1354–1359.
Hairston, N. G., 1959. Species abundance and community organisation. Ecology. 40, 404–416.
Hairston, N. G., 1964. Studies on the organization of animal communities. J. Anim. Ecol. 33 (suppl.), 227–239.
Handford, R. H., 1956. Grasshopper population sampling. Proc. ent. Soc. B. C. (1955) 52, 3–7.
Hansen, M. H., Hurwitz, W. N. and Madow, W. G., 1953. Sample survey methods and theory. Vol. 1 Wiley, New York.
Harcourt, D. G., 1961a. Design of a sampling plan for studies on the population dynamics of the diamond back moth, Plutella maculipennis (Curt.) (Lepidoptera: Plutellidae). Can. Ent. 93, 820–831.
Harcourt, D. G., 1961b. Spatial pattern of the imported cabbageworm, Pieris rapae (L.) (Lepidoptera: Pieridae), on cultivated Cruciferae. Can. Ent. 93, 945–952.
Harcourt, D. G., 1962. Design of a sampling plan for studies on the population dynamics of the imported cabbageworm, Pieris rapae (L.) (Lepidoptera: Pieridae). Can. Ent. 94, 849–859.
Harcourt, D. G., 1963. Population dynamics of Leptinotarsa decemlineata (Say) in Eastern Ontario. I. Spatial pattern and transformation of field counts. Can. Ent. 95, 813–820.
Harcourt, D. G., 1964. Population dynamics of Leptinotarsa decemlineata (Say) in Eastern Ontario. II. Population and mortality estimation during six age intervals. Can. Ent. 96, 1190–1198.
Harcourt, D. G., 1965. Spatial pattern of the cabbage looper, Trichoplusia ni, on Crucifers. Ann. ent. Soc. Am. 58, 89–94.
Harcourt, D. G., 1966. Sequential sampling for the imported cabbageworm, Pieris rapae (L.). Can. Ent. 98, 741–746.
Harding, J. P., 1949. The use of probability paper for the graphical analysis of polymodal frequency distributions. J. mar. biol. Soc. 28, 141–153.
Harris, D., 1968. A method of separating two superimposed normal distributions using arithmetic probability paper. J. Anim. Ecol. 37, 315–319.
Harris, E. K., 1957. Further results in the statistical analysis of stream sampling. Ecology 38, 463–468.
Harris, J. W. E., Collis, D. G. and Magar, K. M., 1972. Evaluation of the tree-beating method for sampling defoliating forest insects. Can. Ent. 104, 723–729.
Hartley, H. O., 1950. The maximum F-ratio as a short-cut test for heterogeneity of variance. Biometrika 37, 308–312.
Hassell, M. P., 1978. The Dynamics of Arthropod Predator-Prey Systems. Princeton Monographs in Population Biology Princeton, New Jersey (in press).
Hassell, M. P. and May, R. M., 1974. Aggregation of predators and insect parasites and its effect on stability. J. Anim. Ecol. 43, 567–594.
Hayman, B. I. and Lowe, A. D., 1961. The transformation of counts of the cabbage aphid (Brevicoryne brassicae (L.)). N. Z. J. Sci. 4, 271–278.
Healey, V., 1964. The density and distribution of two species of Aptinothrips (Thysanoptera) in the grass of a woodland. Entomologist 97, 258–263.
Healy, M. J. R., 1962. Some basic statistical techniques in soil zoology. In Murphy, P. W. (ed.), Progress in soil zoology pp. 3–9, Butterworths, London.
Healy, M. J. R. and Taylor, L. R., 1962. Tables for power-law transformations. Biometrika 49, 557–559.
Helson, G. A. H., 1958. Aphid populations: Ecology and methods of sampling aphids Myzus persicae (Sulz.) and Aulacorthum solani (Kltb.). N. Z. Entomologist 2, 20–23.
Henson, W. R., 1954. A sampling system for Poplar insects. Can. J. Zool. 32, 421–433.
Henson, W. R., 1961. Laboratory studies on the adult behaviour of Conopthorus coniperda (Schwarz) (Coleoptera: Scolytidae). II. Thigmotropic aggregation. Ann. ent. Soc. Am. 54, 810–819.
Herbert, H. J. and Butler, K. P., 1973. Sampling systems for European red mite, Panonychus ulmi (Acarina: Tetranychidae) eggs on apple in Nova Scotia. Can. Ent. 105, 1519–1523.
Heywood, J. and Edwards, R. W., 1961. Some aspects of the ecology of Potamopyrgus jenkinsi Smith. J. Anim. Ecol. 31, 239–250.
Hirata, S., 1962. Comparative studies on the population dynamics of important Lepidopterous pests on cabbage. 2. On the habits of oviposition of Pieris rapae crucivora, Plusia nigrisigna and Manestra (Barathra) brassicae on cabbage plants. Jap. J. appl. Ent. Zool. 6, 200–207.
Holme, N. A., 1950. Population dispersion in Tellina tenuis Da Costa. J. mar. biol. Ass. U.K. 29, 267–280.
Howe, R. W., 1963. The random sampling of cultures of grain weevils. Bull. ent. Res. 54, 135–146.
Hudson, M. and Leroux, E. J., 1961. Variation between samples of immature stages, and of mortalities from some factors, of the european corn borer, Ostrinia nubilalis (Hübner) (Lepidoptera: Pyralidae) on sweet corn in Quebec. Can. Ent. 93, 867–888.
Hughes, R. D., 1955. The influence of the prevailing weather on the numbers of Meromyza variegata Meigen (Diptera, Chloropidae) caught with a sweepnet. J. Anim. Ecol. 24, 324–335.
Hughes, R. D., 1962. The study of aggregated populations. In Murphy, P. W. (ed.), Progress in soil zoology, 51–55, Butterworths, London.
Ibarra, E. L., Wallwork, J. A. and Rodriguez, J. G., 1965. Ecological studies of mites found in sheep and cattle pastures. 1. Distribution patterns of Oribatid mites. Ann. ent. Soc. Am. 58, 153–159.
Itô, Y., Gotoh, A. and Miyashita, K., 1960. On the spatial distribution of Pieris rapae crucivora population. Jap. J. appl. Ent. Zool. 4, 141–145.
Itô, Y., Nakamura, M., Rondo, M., Miyashita, K. and Nakamura, K., 1962. Population dynamics of the chestnut gall-wasp, Dryocosmus kuriphilus Yasumatsu (Hy-menoptera: Cynipidae). II. Distribution of individuals in bud of chestnut tree. Res. Popul. Ecol. 4, 35–46.
Ives, W. G. H., 1954. Sequential sampling of insect populations. Forestry Chron. 30, 287–291.
Ives, W. G. H., 1955. Effect of moisture on the selection of cocooning sites by the larch sawfly, Pristiphora erichsonii (Hartig). Can. Ent. 87, 301–311.
Ives, W. G. H. and Prentice, R. M., 1958. A sequential sampling technique for surveys of the larch sawfly. Can. Ent. 90, 331–338.
Ives, W. G. H. and Warren, G. L., 1965. Sequential sampling for white grubs. Can. Ent. 97, 596–604.
Iwao, S., 1956. The relation between the distribution pattern and the population density of the large twenty-eight-spotted lady beetle, Epilachna 28-maculata Mots-chulsky, in egg-plant field. Pattern of the spatial distribution of insect 6. Jap. J. Ecol. 5, 130–135.
Iwao, S., 1968. A new regression method for analyzing the aggregation pattern of animal populations. Res. Pop. Ecol. 10, 1–20.
Iwao, S., 1970a. Problems of spatial distribution in animal population ecology. In Patil, G. P. (ed.), Random Counts in Biomedical and Social Sciences, pp. 117–149, Penn State University Press, Philadelphia.
Iwao, S., 1970b. Analysis of spatial patterns in animal populations: progress of research in Japan. Rev. Pl. Protec. Res. 3, 41–54.
Iwao, S., 1970c. Analysis of contagiousness in the action of mortality factors on the western tent caterpillar population by using the m-m relationship. Res. Popul. Ecol. 12, 100–110.
Iwao, S., 1972. Application of the m-m method to the analysis of spatial patterns by changing the quadrat size. Res. Popul. Ecol. 14, 97–128.
Iwao, S., 1975. A new method of sequential sampling to classify populations relative to a critical density. Res. Popul. Ecol. 16, 281–288.
Iwao, S. and Kuno, E., 1971. An approach to the analysis of aggregation pattern in biological populations. In Patii, G. P., Pielou, E. C. & Waters, W. E. (Eds.) Statistical Ecology 1: Spatial Patterns & Statistical Distributions. Penn State University Press, Philadelphia.
Jepson, W. F. and Southwood, T. R. E., 1958. Population studies on Oscinella frit L. Ann. appl. Biol. 46, 465–474.
Kapatos, E., McFadden, M. W. and Pappas, S., 1977. Sampling techniques and preparation of partial life tables for the olive fly, Dacus oleae (Diptera: Trypetidae) in Corfu. Ecol. Ent. 2, 193–196.
Karandinos, M. G., 1976. Optimum sample size and comments on some published formulae. Bull. Ent. Soc. Am. 22, 417–421.
Katti, S. K., 1966. Interrelations among generalized distributions and their components. Biometrics 22, 44–52.
Ratti, S. K. and Gurland, J., 1962. Efficiency of certain methods of estimation for the negative binomial and the Neyman type A distributions. biometrika 49, 215–226.
Kendall, D. G., 1948. On some modes of population growth leading to R. A. Fisher’s logarithmic series distribution. Biometrika 35, 6–15.
Kennedy, J. S. and Crawley, L., 1967. Spaced-out gregariousness in sycamore aphids Drepanosiphum platanoides (Schrank) (Hemiptera Callaphididae). J. Anim. Ecol. 36, 147–170.
Keuls, M., Over, H. J. and de Wit, C. T., 1963. The distance method for estimating densities. Statistica Neerlandica 17, 71–91.
Kieckhefer, R. W., 1975. Field populations of cereal aphids in South Dakota spring grains. J. econ. Ent. 68, 161–164.
Kleczkowski, A., 1949. The transformation of local lesion counts for statistical analysis. Ann. appl. Biol. 36, 139–152.
Kobayashi, S., 1966. Process generating the distribution pattern of eggs of the common cabbage butterfly, Pieris rapae crucivora. Res. popul. Ecol. 8, 51–60.
Kono, T., 1953. Basic unit of population observed in the distribution of the rice-stem borer, Chilo simplex, in a paddy field. Res. Popul. Ecol. 2, 95–105.
Krause, G. F. and Pedersen, J. R., 1960. Estimating immature populations of rice weevils in wheat by using subsamples. J. econ. Ent. 53, 215–216.
Kuehl, R. O. and Fye, R. E., 1972. An analysis of the sampling distributions of cotton insects in Arizona. J. econ. Ent. 65, 855–860.
Kuno, E., 1963. A comparative analysis on the distribution of nymphal populations of some leaf-and planthoppers on rice plant. Res. Popul. Ecol. 5, 31–43.
Kuno, E., 1969. A new method of sequential sampling to obtain the population estimates with a fixed level of precision. Res. Popul. Ecol. 11, 127–136.
Lamb, K. P., 1958. Aphid sampling. N.Z. Entomologist 2, 6–11.
Legay, J. M., 1963. A propos de la répartition de la cecidomyie du Hêtre, Mikiola fagi. Un exemple de distribution binomiale négative. Ann. Epiphyt. C 14, 49–56.
Leroux, E. J., 1961. Variations between samples of fruit, and of fruit damage mainly from insect pests, on apple in Quebec. Can. Ent. 93, 680–694.
Leroux, E. J. and Reimer, C., 1959. Variation between samples of immature stages and of mortalities from some factors, of the Eye-spotted Bud Moth, Spilonota ocellana (D. & S.) (Lepidoptera: Olethreutidae), and the Pistol Casebearer, Coleophora serratella (L.) (Lepidoptera: Coleophoridae), on apple in Quebec. Can. Ent. 91, 428–449.
Lloyd, M., 1967. Mean crowding. J. Anim. Ecol. 36, 1–30.
Lyons, L. A., 1964. The spatial distribution of two pine sawflies and methods of sampling for the study of population dynamics. Can. Ent. 96, 1373–1407.
Maclellan, C. R., 1962. Mortality of codling moth eggs and young larvae in an integrated control orchard. Can. Ent. 94, 655–666.
Macleod, J., 1958 The estimation of numbers of mobile insects from low incidence recapture data. Trans. R. ent. Soc. Lond. 110, 363–392.
May, R. M., 1978. Host-parasitoid systems in a patchy environment: a phenomenologi-cal study. J. Anim. Ecol. 47 (in press).
Milne, A., 1959. The centric systematic area-sample treated as a random sample. Biometrics 15, 270–297.
Milne, A., 1964. Biology and ecology of the garden chafer, Phyllopertha horticola (L.). IX. Spatial distribution. Bull. ent. Res. 54, 761–795.
Morisita, M., 1954. Estimation of population density by spacing method. Mem. Fac. Sci. Kyushu Univ. E 1, 187–197.
Morisita, M., 1959. Measuring of the dispersion of individuals and analysis of the distributional patterns. Mem. Fac. Sci. Kyushu Univ. E (Biol.) 2, 215–235.
Morisita, M., 1962. I δ-index, a measure of dispersion of individuals. Res. Popul. Ecol. 4, 1–7.
Morisita, M., 1964. Application of I δ-index to sampling techniques. Res. Popul. Ecol. 6, 43–53.
Morisita, M., 1971. Composition of the I δ-index. Res. Popul. Ecol. 13, 1–27.
Morris, R. F., 1954. A sequential sampling technique for spruce budworm egg surveys. Can. J. Zool. 32, 302–313.
Morris, R. F., 1955. The development of sampling techniques for forest insect defoliators, with particular reference to the spruce budworm. Can. J. Zool. 33, 225–294.
Morris, R. F., 1960. Sampling insect populations. A. Rev. Ent. 5, 243–264.
Morris, R. F. and Reeks, W. A., 1954. A larval population technique for the winter moth, Operophtera brumata (Linn.) (Lepidoptera: Geometridae). Can. Ent. 86, 433–438.
Mosteller, F. and Tukey, J. W., 1949. The uses and usefulness of binomial probability paper. J. Am. Stats. Assoc. 44, 174–212.
Mukerji, M. K., 1973. The development of sampling techniques for populations of the tarnished plant bug, Lygus lineolaris (Hemiptera: Miridae.) Res. Popul. Ecol. 15, 50–63.
Mukerji, M. K. and Harcourt, D. G., 1970. Spatial pattern of the immature stages of Hylemya brassicae on cabbage. Can. Ent. 102, 1216–1222.
Murdie, G. and Hassell, M. P., 1973. Food distribution, searching success and predator-prey models. In Bartlett, M. S. & Hiorns, R. W. (eds). The Mathematical Theory of the Dynamics of Biological Populations, pp. 87–101. Academic Press, London.
Naylor, A. F., 1959. An experimental analysis of dispersal in the flour beetle, Tribolium confusum. Ecology 40, 453–465.
Nelson, W. A., Slen, S. B. and Banky, E. C., 1957. Evaluation of methods of estimating populations of the sheep ked, Melophagus ovinus (L.) (Diptera: Hippoboscidae), on mature ewes and young lambs. Can. J. Anim. Sci. 37, 8–13.
Neyman, J., 1939. On a new class of ‘contagious’ distributions, applicable in entomology and bacteriology. Ann. Math. Stat. 10, 35–57.
Nielsen, B. Overgaard, 1963. The biting midges of Lyngby Aamose (Culicoides: Ceratopogonidae). Natura Jutlandica 10, 46 pp.
Oakland, G. B., 1950. An application of sequential analysis to whitefish sampling. Biometrics 6, 59–67.
Oakland, G. B., 1953. Determining sample size. Can. Ent. 85, 108–113.
Onsager, J. A., Landis, B. J. and Fox, L., 1975. Efficacy of fonofos band treatments and a sampling plan for estimating wireworm populations on potatoes. J. econ. Ent. 68, 199–202.
Pahl, P. J., 1969. On testing for goodness-of-fit of the negative binomial distribution when expectations are small. Biometrics 25, 143–151.
Paradis, R. O. and Leroux, E. J., 1962. A sampling technique for population and mortality factors of the fruit-tree leaf roller, Archips argyrospilus (Wlk.) (Lepidoptera: Tortricidae), on apple in Quebec. Can. Ent. 94, 561–573.
Patil, G. P. and Joshi, S. W., 1968. A dictionary and bibliography of discrete distributions. Oliver & Boyd, Edinburgh.
Patil, G. P. and Stiteler, W. M., 1974. Concepts of aggregation and their quantification: a critical review with some new results and applications. Res. Popul. Ecol. 15, 238–254.
Pearson, E. S. and Hartley, H. O., 1958. Biometrika tables for statisticians. Vol. 1. Cambridge University Press, Cambridge, 240 pp.
Pielou, E. C., 1969. An Introduction to Mathematical Ecology. 286 pp, Wiley-Interscience, New York and London.
Pieters, E. P. and Sterling, W., 1974. A sequential sampling plan for the cotton fleahopper, Pseudatomoscelis seriatus. Environ. Ent. 3, 102–106.
Pradhan, S. and Menon, R., 1945. Insect population studies. I. Distribution and sampling of spotted bollworm of cotton. Proc. Nat. Inst. Sci. India 6(2), 61–73.
Prebble, M. L., 1943. Sampling methods in population studies of the European spruce sawfly, Gilpinia hercyniae (Hartig.), in Eastern Canada. Trans. R. Soc. Canada III, V, 37, 93–126.
Preston, F. W., 1948. The commonness, and rarity, of species. Ecology 29, 254–283.
Putnam, L. G. and Shklov, N. 1956. Observations on the distribution of grasshopper egg-pods in Western Canadian stubble fields. Can. Ent. 88, 110–117.
Quenouille, M. H., 1949. A relation between the logarithmic, Poisson, and negative binomial series. Biometrics 5, 162–164.
Reeks, W. A., 1956. Sequential sampling of the winter moth, Operophtera brumata (Linn.). Can. Ent. 88, 241–246.
Reimer, C., 1959. Statistical analysis of percentages based on unequal numbers, with examples from entomological research. Can. Ent. 91, 88–92.
Rennison, B. D., 1962. A method of sampling Antestiopsis in arabsia coffee in chemical control schemes. E. Afr. agric. For. J. 27, 197–200.
Richards, O. W. and Waloff, N., 1961. A study of a natural population of Phytodecta olivacea (Forster) (Coleoptera, Chrysomeloidea). Phil. Trans. B. 244, 205–257.
Rojas, B. A., 1964. La binomial negativa y la estimación de intensidad de plagas en el suelo. Fitotecnia Latinamer. 1,(1), 27–36.
Romell, L. G., 1930. Comments on Raunkiaer’s and similar methods of vegetation analysis and the ‘law of frequency’. Ecology 11, 589–596.
Safranyik, L. and Graham, K., 1971. Edge-effect bias in the sampling of sub-cortical insects. Can. Ent. 103, 240–255.
Salt, G. and Hollick, F. S., 1946. Studies of wireworm populations. II. Spatial distribution, J. exp. Biol. 23, 1–46.
Seber, G. A. F., The Estimation of Animal Abundance and Related Parameters. 506 pp, Griffin, London.
Shaw, M. W., 1955. Preliminary studies on potato aphids in north and north-east Scotland. Ann. appl. Biol. 43, 37–50.
Shenton, L. R. and Wallington, P. A., 1962. The bias of moment estimators with an application to the negative binomial distribution. Biometrika 49, 193–204.
Shibuya, M. and Ouchi, Y., 1955. Pattern of spatial distribution of soy bean pod gall midge in a soy bean field. Ôyô-Kontya 11, 91–97.
Shinozaki, K. and Urata, N., 1953. Apparent abundance of different species and heterogeneity. Res. Popul. Ecol. 2, 8–21.
Shiyomi, M. and Nakamura, K., 1964. Experimental studies on the distribution of the aphid counts. Res. Popul. Ecol. 6, 79–87.
Skellam, J. G., 1958. On the derivation and applicability of Neyman’s type A distribution. Biometrika 45, 32–36.
Southwood, T. R. E. and Cross, D. J., 1969. The ecology of the partridge. III. Breeding success and the abundance of insects in natural habitats. J. Anim. Ecol. 38, 497–509.
Southwood, T. R. E. and Jepson, W. F., 1961. The frit fly — a denizen of grassland and a pest of oats. Ann. appl. Biol. 49, 556.
Southwood, T. R. E., Jepson, W. F. and Emden, H. F. van, 1961. Studies on the behaviour of Oscinella frit L. (Diptera) adults of the panicle generation. Entomologia exp. appl 4, 196–210.
Spiller, D., 1948. Truncated log-normal and root-normal frequency distributions of insect populations. Nature 162, 530.
Spiller, D., 1952. Truncated log-normal distribution of red scale (Aonidiella aurantii Mask.) on citrus leaves. N.Z. J. Sci. Tech. (B) 33, 483–487.
Stark, R. W., 1952a. Analysis of a population sampling method for the lodgepole needle miner in Canadian Rocky Mountain Parks. Can. Ent. 84, 316–321.
Stark, R. W., 1952b. Sequential sampling of the lodgepole needle miner. Forestry Chron. 28, 57–60.
Stark, R. W. and Dahlsten, D. L., 1961. Distribution of cocoons of a Neodiprion sawfly under open-grown conditions. Can. Ent. 93, 443–450.
Sterling, W. L. and Pieters, E. P., 1974. A sequential sampling package for key cotton arthropods in Texas. Texas Agric. Exp. Stn. Dept. Tech. Rep. 74-32, 1–28.
Sterling, W. L. and Pieters, E. P., 1975. Sequential sampling for key arthropods of cotton. Texas Agric. Exp. Stn. Dept. Tech. Rep. 75–124 1–21.
Stevens, R. E. and Stark, R. W., 1962. Sequential sampling for the lodgepole needle miner, Evagora milleri. J. econ. Ent. 55, 491–494.
Stimson, J., 1974. An analysis of the pattern of dispersion of the hermatypic coral, Pocillopora meandrina var nobilis Verrill. Ecology, 55, 445–449.
Strickland, A. H., 1961. Sampling crop pests and their hosts. A. Rev. Ent. 6, 201–220.
Stuart, A., 1962. Basic ideas of scientific sampling, 99 pp. Griffin, London.
Sylvester, E. S. and Cox, E. L., 1961. Sequential plans for sampling aphids on sugar beets in Kern County, California. J. econ. Ent. 54, 1080–1085.
Takeda, S. and Hukusima, S., 1961. Spatial distribution of the pear lace bugs, Stephanitis naski Esaki et Takeya (Hemiptera: Tingitidae) in an apple tree and an attempt for estimating their populations. Res. Bull. Fac. Agric., Gifu Univ. 14, 68–77.
Tanigoshi, L. K., Browne, R. W. and Hoyt, S. C., 1975. A study on the dispersion pattern and foliage injury by Tetranychus medanieli (Acarina: Tetranychidae) in simple apple ecosystems. Can. Ent. 107, 439–446.
Taylor, L. R., 1961. Aggregation, variance and the mean. Nature 189, 732–735.
Taylor, L. R., 1965. A natural law for the spatial disposition of insects. Proc. XII int. Congr. Ent. 396–397.
Taylor, L. R., 1970. Aggregation and the transformation of counts of Aphis fabae Scop. on beans. Ann. appl. Biol. 65, 181–189.
Taylor, L. R., 1971. Aggregation as a species characteristic. In Patii G. P., Pielou, E. C. & Waters, W. E. (eds) Statistical Ecology 1, pp. 357–377. Penn State University Press, Philadelphia.
Taylor, L. R., Woiwod, I. P. and Perry, J. N., 1978. The density-dependence of spatial behaviour and the variety of randomness, J. Anim. Ecol. 47, 383–406.
Teyrovsky, V., 1956. Fotopathie larey klestánek (Corixinae). Acta Univ. agric, silv. Brunn. 2, 147–177.
Thomas, I. and Jacob, F. H., 1943. Ecology of potato aphids in north Wales. Ann. appl. Biol. 30, 97–101.
Thomas, M., 1949. A generalization of Poisson’s binomial limit for use in ecology. Biometrika 36, 18–25.
Thompson, H. R., 1956. Distribution of distance to nth neighbour in a population of randomly distributed individuals. Ecology 37, 391–394.
Tukey, J. W., 1949. One degree of freedom for non-additivity. Biometrics 5, 232–242.
Tunstall, J. P. and Matthews, G. A., 1961. Cotton insect control recommendations for 1961–2 in the Federation of Rhodesia and Nyasaland. Rhodesia Agric. J. 58(5), 289–299.
Turner, F. B., 1960. Size and dispersion of a Louisiana population of the cricket frog, Acris gryllus. Ecology 41, 258–268.
Underwood, A. J., 1976. Nearest neighbour analysis of spatial dispersion of intertidal Prosobrunel Gastropods within two substrata. Oecologia 26, 257–266.
Unterstenhöfer, G., 1957. The basic principles of plant protection field tests. Höfchen Briefe 10(4) (English ed.), 173–236.
Upholt, W. M. and Craig, R., 1940. A note on the frequency distribution of black scale insects. J. econ. Ent. 33(1), 113–114.
Usher, M. B., 1971. Properties of the aggregations of soil arthropods, particularly Mesostigmata (Acarina). Oikos 22, 43–49.
Wadley, F. M., 1950. Notes on the form of distribution of insect and plant populations. Ann. ent. Soc. Am. 43, 581–586.
Wadley, F. M., 1952. Elementary sampling principles in entomology. U.S.D.A. Pl. Quar. Bur. Ent. E. T. 302, 17 pp.
Wald, A., 1948. Sequential sampling. Wiley & Sons, New York.
Waloff, N. and Blackith, R. E., 1962. The growth and distribution of the mounds of Lasius flavus (Fabricáis) (Hym.: Formicidae) in Silwood Park, Berkshire, J. Anim. Ecol. 31, 421–437.
Waters, W. E., 1955. Sequential sampling in forest insect surveys. For. Sci. 1, 68–79.
Waters, W. E., 1959. A quantitative measure of aggregation in insects. J. econ. Ent. 52, 1180–1184.
Waters, W. E. and Henson, W. R., 1959. Some sampling attributes of the negative binomial distribution with special reference to forest insects. For. Sci. 5,(4), 397–412.
Watt, A. S., 1964. The community and the individual. J. Ecol. 52 (suppl.), 203–211.
Wilson, L. F., 1959. Branch ‘tip’ sampling for determining abundance of spruce budworm egg masses. J. econ. Ent. 52, 618–621.
Wilson, L. F. and Gerrard, D. J., 1971. A new procedure for rapidly estimating european pine sawfly (Hymenoptera: Diprionidae) population levels in young pine plantations. Can. Ent. 103, 1315–1322.
Yates, F., 1953. Sampling methods for censuses and surveys. Griffin, London.
Yates, F. and Finney, D. J., 1942. Statistical problems in field sampling for wireworms. Ann. appl. Biol. 29, 156–167.
Yoshihara, T., 1953. On the distribution of Tectarius granulans. Res. Popul. Ecol. 2, 112–122.
Youdeowei, A., 1965. A note on the spatial distribution of the cocoa mirid Sahlbergella singularis Hagl. in a cocoa farm in Western Nigeria. J. Agric. Soc. Nigeria 2, 66–67.
Zahl, S., 1974. Application of the S-method to the analysis of spatial pattern. Biometrics 30, 513–524.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1978 T. R. E. Southwood
About this chapter
Cite this chapter
Southwood, T.R.E. (1978). The Sampling Programme and the Measurement and Description of Dispersion. In: Ecological Methods. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5809-8_2
Download citation
DOI: https://doi.org/10.1007/978-94-009-5809-8_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-5811-1
Online ISBN: 978-94-009-5809-8
eBook Packages: Springer Book Archive