On the methods for determining density-dependence by means of regression
- 1 December 1972
- journal article
- research article
- Published by Springer Nature in Oecologia
- Vol. 10 (4), 347-372
- https://doi.org/10.1007/bf00345737
Abstract
The determination of density-dependence of a mortality process is attempted by taking the linear regression of the logarithm of population density (or k defined by Varley and Gradwell, 1960) against the logarithm of previous density, based on the assumption that the slope, b, of the line is smaller than unity for log density-log density relationship or larger than zero for k-log density relationship. It was concluded, however, that the following three factors violate the basic assumption, providing no density-dependence. 1. In a Morris plot based on serial data, the value of b tends to be near the value of r. Thus, when the relationship is strongly affected by chance factors, giving remarkably scattered points on graph, the value of b tends to be always lower than unity. 2. When the independent variables (log previous density) are subject to sampling error, the value of b tends to be smaller than unity for density-density relations or larger than zero for k-density relations. 3. In Morris plot, where log densities are used twice as an independent and a dependent variables excepting the first and the last generation, the effect of timelag strongly reduces the value of b when the number of generations is not large.Keywords
This publication has 33 references indexed in Scilit:
- Sampling error as a misleading artifact in “key factor analysis”Population Ecology, 1971
- POPULATION DYNAMICS OF LEPTINOTARSA DECEMLINEATA (SAY) IN EASTERN ONTARIO: III. MAJOR POPULATION PROCESSESThe Canadian Entomologist, 1971
- Correlation, Regression, and Density DependenceEcology, 1970
- Biology of hyphantria cunea drury (lepidoptera : Arctiidae) in Japan. IX. population dynamicsPopulation Ecology, 1969
- THE APPRAISAL OF DELAYED AND DIRECT DENSITY-DEPENDENCEThe Canadian Entomologist, 1969
- Factors in the Population Biology of the Sockeye Salmon of the Skeena RiverJournal of Animal Ecology, 1968
- The Dynamics of a Field Population of the Pine Looper, Bupalus piniarius L.(Lep., Geom.)Published by Elsevier ,1966
- The population dynamics of Cardiaspina albitextura (Psyllidae).Australian Journal of Zoology, 1964
- The Problem of Autocorrelation in Regression AnalysisJournal of the American Statistical Association, 1954
- The Ten-Year Cycle in Numbers of the Lynx in CanadaJournal of Animal Ecology, 1942