11 – Growth Rates and Models

Fish lengths have been measured in many different ways. The differences arise from choosing different reference points near the anterior end and near the posterior end of the fish, and from using different methods of making the measurement. Methods of making the measurement include using calipers; using a tape held along the curve of the body; laying the fish on a measuring board with the front end pressed against an upright piece; laying the fish on a board with a movable cross hair above it, attached to an indicator running along a scale. In theory, any combination of reference points and methods might be used, but practice is considerably more restricted. Some of the commoner combinations have special names; these are provided in the chapter, together with the reference points used. In addition to these methodological differences, length varies with the condition of the fish—for example, whether it is alive, recently killed, after rigor mortis has set in, or at different intervals of time after preservation in formalin or alcohol.

[1]  J. Nelder The Fitting of a Generalization of the Logistic Curve , 1961 .

[2]  G. Winberg,et al.  Rate of Metabolism and Food Requirements of Fishes , 1962 .

[3]  Jerrold H. Zar,et al.  Calculation and Miscalculation of the Allometric Equation as a Model in Biological Data , 1968 .

[4]  Phil. Ernst Janisch Das Exponentialgesetz : als Grundlage einer vergleichenden Biologie , 1927 .

[5]  J. M. Partlo Distribution, Age and Growth of Eastern Pacific Albacore (Thunnus alalunga Gmelin) , 1955 .

[6]  S. R. Kerr A Simulation Model of Lake Trout Growth , 1971 .

[7]  Walter J. Hogman Annulus Formation on Scales of Four Species of Coregonids Reared Under Artificial Conditions , 1968 .

[8]  L. Walford,et al.  Bioenergetics and Growth , 1947 .

[9]  J. M. Elliott,et al.  The Growth Rate of Brown Trout (Salmo trutta L.) Fed on Maximum Rations , 1975 .

[10]  N. R. Glass Discussion of Calculation of Power Function with Special Reference to Respiratory Metabolism in Fish , 1969 .

[11]  G. Stauffer A growth model for salmonids reared in hatchery environments , 1973 .

[12]  R. Ricklefs,et al.  A Graphical Method of Fitting Equations to Growth Curves , 1967 .

[13]  Erik Ursin,et al.  A Mathematical Model of Some Aspects of Fish Growth, Respiration, and Mortality , 1967 .

[14]  T. B. Bagenal Methods for assessment of fish production in fresh waters , 1979 .

[15]  J. Zweifel,et al.  PREHATCH AND POSTHATCH GROWTH OF FISHES­ A GENERAL MODEL , 1976 .

[16]  J. Haldane,et al.  Organic correlation and allometry. , 1950, Biometrika.

[17]  J. R. Brett Tank experiments on the culture of pan-size sockeye (Oncorhynchus nerka) and pink salmon (O. gorbuscha) using environmental control , 1974 .

[18]  W. Knight Asymptotic Growth: An Example of Nonsense Disguised as Mathematics , 1968 .

[19]  F. R. Hayes The Growth, General Chemistry, and Temperature Relations of Salmonid Eggs , 1949, The Quarterly Review of Biology.

[20]  G. E. W. Wolstenholme,et al.  The lifespan of animals , 1961 .

[21]  T. Pitcher,et al.  Two Models for Seasonal Growth in Fishes , 1973 .

[22]  V. S. Ivlev,et al.  Experimental ecology of the feeding of fishes , 1962 .

[23]  Laird Ak Evolution of the human growth curve. , 1967 .

[24]  Ludwig von Bertalanffy Untersuchungen ber die Gesetzlichkeit des Wachstums: I. Teil: Allgemeine Grundlagen der Theorie; Mathematische und physiologische Gesetzlichkeiten des Wachstums bei Wassertieren , 1934 .

[25]  R. Beverton Notes on the use of theoretical models in the study of the dynamics of exploited fish populations , 1954 .

[26]  L. Bertalanffy,et al.  A quantitative theory of organic growth , 1938 .

[27]  L. M. Dickie,et al.  Food and Growth of Fishes.: I. A Growth Curve Derived from Experimental Data , 1965 .

[28]  F. J. Richards A Flexible Growth Function for Empirical Use , 1959 .

[29]  S. R. Kerr,et al.  Analysis of Laboratory Experiments on Growth Efficiency of Fishes , 1971 .

[30]  N. R. Glass,et al.  Fitting Nonlinear Models to Biological Data by Marquardt's Algorithm , 1970 .

[31]  D. R. Causton A Computer Program for Fitting the Richards Function , 1969 .

[32]  E. Ford,et al.  An Account of the Herring Investigations Conducted at Plymouth during the Years from 1924 to 1933 , 1933, Journal of the Marine Biological Association of the United Kingdom.

[33]  G. Teissier La Relation D'Allometrie sa Signification Statistique et Biologique , 1948 .

[34]  J. R. Brett,et al.  GROWTH RATE AND BODY COMPOSITION OF FINGERLING SOCHEYE SALMON ONCORHYNCHUS MESHA IN RELATION TO TEMPERATURE AND RATION SIZE , 1969 .

[35]  E. Macdowell,et al.  THE PRENATAL GROWTH OF THE MOUSE , 1927, The Journal of general physiology.

[36]  L. Walford A new graphic method of describing the growth of animals. , 1946, The Biological bulletin.

[37]  William E. Ricker Handbook of computations for biological statistics of fish populations , 1960 .

[38]  M. Graham,et al.  Modern Theory of Exploiting a Fishery, and Application to North Sea Trawling , 1935 .

[39]  Fabens Aj,et al.  Properties and fitting of the Von Bertalanffy growth curve. , 1965 .

[40]  W. Ricker Computation and interpretation of biological statistics of fish populations , 1977 .

[41]  W. Ricker Production and Utilization of Fish Populations , 1946 .

[42]  W. Martin The mechanics of environmental control of body form in fishes , 1949 .

[43]  V. S. Ivlev The Biological Productivity of Waters , 1966 .

[44]  J. Běhrádek TEMPERATURE COEFFICIENTS IN BIOLOGY , 1930 .

[45]  J. R. Brett,et al.  Metabolic Rates and Critical Swimming Speeds of Sockeye Salmon (Oncorhynchus nerka) in Relation to Size and Temperature , 1973 .

[46]  W. Ricker A Note Concerning Professor Jolicoeur’s Comments , 1975 .

[47]  S. Z. Rafail A simple and precise method for fitting a von Bertalanffy growth curve , 1973 .

[48]  L. M. Dickie,et al.  Food and Growth of Fishes. II. Effects of Food and Temperature on the Relation Between Metabolism and Body Weight , 1966 .

[49]  D. Pelluet Criteria for the recognition of developmental stages in the salmon (Salmo salar) , 1944 .

[50]  Benjamin Gompertz,et al.  XXIV. On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. In a letter to Francis Baily, Esq. F. R. S. &c , 1825, Philosophical Transactions of the Royal Society of London.

[51]  I. Boëtius Temperature and growth in a population of Mytilus edulis (L.) from the Northern Harbour of copenhagen (the Sound) , 1962 .

[52]  J. V. Oosten Life history of the lake herring (Leucichthys artedi Le Sueur) of Lake Huron as revealed by its scales, with a critique of the scale method , 1928 .

[53]  R. Cassie,et al.  Some uses of probability paper in the analysis of size frequency distributions , 1954 .

[54]  P. Jolicoeur Linear Regressions in Fishery Research: Some Comments , 1975 .

[55]  C. Taylor Temperature and Growth — The Pacific Razor Clam , 1959 .

[56]  S. Lockwood The use of the von Bertalanffy growth equation to describe the seasonal growth of fish , 1974 .

[57]  Clyde C. Taylor,et al.  Cod Growth and Temperature , 1958 .

[58]  L. M. Dickie,et al.  Food and Growth of Fishes.: III. Relations Among Food, Body Size, and Growth Efficiency , 1966 .

[59]  S. Gerking Annual Growth Cycle, Growth Potential, and Growth Compensation in the Bluegill Sunfish in Northern Indiana Lakes , 1966 .

[60]  Tyler Sa,et al.  Dynamics of normal growth. , 1965 .

[61]  R. Fletcher,et al.  A general solution for the complete Richards function , 1975 .

[62]  W. Ricker Linear Regressions in Fishery Research , 1973 .

[63]  J. Pella,et al.  A generalized stock production model , 1969 .

[64]  C. Taylor Growth equations with metabolic parameters , 1962 .

[65]  J. M. Elliott The Growth Rate of Brown Trout (Salmo trutta L.) Fed on Reduced Rations , 1975 .

[66]  W. Ricker Effects of size-selective mortality and sampling bias on estimates of growth, mortality, production and yield , 1969 .

[67]  L. Bertalanffy Quantitative Laws in Metabolism and Growth , 1957 .

[68]  S. R. Kerr,et al.  Prediction of Fish Growth Efficiency in Nature , 1971 .

[69]  P. A. Larkin,et al.  A Concept of Growth in Fishes , 1959 .

[70]  Norris O. Johnson A Trend Line for Growth Series , 1935 .

[71]  R. Lasker An Experimental Study of the Effect of Temperature on the Incubation Time, Development, and Growth of Pacific Sardine Embryos and Larvae , 1964 .

[72]  S. Gerking Evidence of aging in natural populations of fishes. , 1957, Gerontologia.