Geodesic
Three sources and three constituents of the formalism for a population with discrete age and stage structures
Matematičeskoe modelirovanie, Tome 14 (2002) no. 12, pp. 11-22

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To construct a dynamic model for a population of plants which differ in their chronological age and ontogenetic stage, a formalism is proposed which is distinct from a matrix description suggested earlier for populations whose individuals are classified with respect to two bases. The formalism is realized for a population of woodreed Calamagrostis canescens, a perennial species dominating in the grass layer of felled forest areas, and the model projection matrix is constructed as a set of 21 demographic and ontogenetic parameters. Characteristic properties of the matrix are investigated in the general case; an expression is deduced for the reproductive potential of a population with given parameters. It is shown that the equilibrium age-stage structure may lose “left-sidedness of the age spectrum”, a property that is traditionally checked in observations. 
@article{MM_2002_14_12_a1,
     author = {D. O. Logofet},
     title = {Three sources and three constituents of the formalism for a population with discrete age and stage structures},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {11--22},
     publisher = {mathdoc},
     volume = {14},
     number = {12},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2002_14_12_a1/}
}
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D. O. Logofet. Three sources and three constituents of the formalism for a population with discrete age and stage structures. Matematičeskoe modelirovanie, Tome 14 (2002) no. 12, pp. 11-22. http://geodesic.mathdoc.fr/item/MM_2002_14_12_a1/