From population monitoring to a mathematical model: A new paradigm of population research

DO Logofet, NG Ulanova - Biology Bulletin Reviews, 2022 - Springer
The new paradigm of population research means formulating traditional and innovative
themes of population theory in terms of a matrix model of the dynamics of the studied …

On the matrix Mittag–Leffler function: theoretical properties and numerical computation

M Popolizio - Mathematics, 2019 - mdpi.com
Many situations, as for example within the context of Fractional Calculus theory, require
computing the Mittag–Leffler (ML) function with matrix arguments. In this paper, we collect …

Backward prediction confirms the conclusion on local plant population viability

DO Logofet, ES Kazantseva, IN Belova… - Biology Bulletin …, 2021 - Springer
Another year of observing the structure of the local Androsace albana population at the
permanent plots laid in an alpine lichen heath in 2009 added a tenth calibrated matrix to the …

Averaging the population projection matrices: heuristics against uncertainty and nonexistence

DO Logofet - Ecological Complexity, 2018 - Elsevier
In matrix population models, the process of population “projection” through a number of time
steps is fundamentally multiplicative, hence the arithmetic mean of the consecutive matrices …

Novel challenges and opportunities in the theory and practice of matrix population modelling: An editorial for the special feature:“Theory and practice in matrix …

DO Logofet, R Salguero-Gómez - Ecological Modelling, 2021 - Elsevier
Demography is at the core of ecology, evolution, and conservation biology. The simple
recognition that individuals in a given population contribute to its dynamics in different ways …

Does averaging overestimate or underestimate population growth? It depends

DO Logofet - Ecological Modelling, 2019 - Elsevier
When a matrix population model is nonautonomous, ie, when it represents a set of single-
time-step (" annual") PPMs, L (t), t= 0, 1,…, T–1, each corresponding to a fixed life cycle …

От мониторинга популяции к математической модели: новая парадигма популяционного исследования

ДО Логофет, НГ Уланова - Журнал общей биологии, 2021 - elibrary.ru
Новая парадигма популяционного исследования–это формулировка традиционных и
новаторских тем популяционной теории в терминах матричной модели динамики …

Pattern-multiplicative average of nonnegative matrices revisited: Eigenvalue approximation is the best of versatile optimization tools

DO Logofet - Mathematics, 2023 - mdpi.com
Given several nonnegative matrices with a single pattern of allocation among their
zero/nonzero elements, the average matrix should have the same pattern, too. This is the …

Bilberry vs. cowberry in a Scots pine boreal forest: Exclusion or coexistence in a post-fire succession?

DO Logofet, AA Maslov - Ecological Modelling, 2019 - Elsevier
Although the famous competition exclusion principle was thoroughly elaborated in the
framework of multispecies population models, its illustrations with field data were facing …

Bilberry vs. cowberry in a Scots pine boreal forest: III. Another forest, another method, and similar conclusions

AA Maslov, DO Logofet - Ecological Modelling, 2020 - Elsevier
Markov chain formalism developed formerly for the joint dynamics of cowberry (Vaccinium
vitis-idaea) and bilberry (V. myrtillus) in the course of post-fire succession (Logofet, Maslov …