title: [The structure and dynamics of woodreed Calamagrostis canescens population: a modelling approach].
abstract: A scale of ontogenetic states has been developed for woodreed Calamagrostis canescens, a perennial species dominating the grass layer of fell forest areas. The population structure is considered as a set of age-stage groups of individuals differing both in the ontogenetic stage and the chronological age measured in years. to describe the dynamics through years a special kind of matrix formalism has been proposed which is reducible neither to the classic Leslie matrix for an age-structured population, nor to the well-known Lefkovitch matrix for a stage-structured one, and which does not suffer from excessiveness of the "two-dimensional" representation for the structure implying the projection matrix of a block pattern. It has been shown however that the protection matrix corresponding to C. canescens life-history graph embodies the canonical features of matrix formalism for structured population dynamics, such as the exponential population growth or decline, the convergence to a stable equilibrium structure, the calculable indicator of growth/decline/equilibrium (i.e., a measure of the population reproductive potential) as well as possibility to determine the relative reproductive value of each group. On the other hand, "left-sidedness of the age spectrum", a property that is often observed in real populations and is inherent in Leslie models of growing populations, may fail in the age-stage-structured model. The aggregation of age-stage groups into the age classes is possible only under special strict relationship among the age-stage-specific vital rates of the population. The both circumstances serve a methodical indication that an additional dimension such as the stages, for example, ought to be introduced into the age structure of the model population.
authors.affiliation: Dept. of Geobotany Biological, Faculty of Moscow State University. nina@NUlanova.home.bio.msu.ru
authors.forename: N G
authors.initials: NG
authors.lastname: Ulanova
authors.forename: A N
authors.initials: AN
authors.lastname: Demidova
authors.forename: I N
authors.initials: IN
authors.lastname: Klochkova
authors.forename: D O
authors.initials: DO
authors.lastname: Logofet
mesh_terms: D008433:Mathematics; D008954:Models, Biological; D006109:Poaceae / Q000254:growth & development / Q000502:physiology*; D011157:Population Dynamics