Matrix model of forest dynamics: An overview and outlook

J Liang, N Picard - Forest Science, 2013 - academic.oup.com
The Matrix model uses transition matrices to predict future plant and animal population
structures. Having been used to study the dynamics of forests all over the world, the Matrix …

An optimal birth control problem for a dynamical population model with size-structure

ZR He, Y Liu - Nonlinear Analysis: Real World Applications, 2012 - Elsevier
This work is concerned with an optimal control problem for a size-structured population
model, which takes fertility as the control variable. The existence and uniqueness of …

Opportunity costs of carbon sequestration in a forest concession in central Africa

M Ndjondo, S Gourlet-Fleury, RJ Manlay… - Carbon balance and …, 2014 - Springer
Background A large proportion of the tropical rain forests of central Africa undergo periodic
selective logging for timber harvesting. The REDD+ mechanism could promote less …

Forest Management and Carbon Sequestration in Size-Structured Forests: The Case of Pinus sylvestris in Spain

RU Goetz, N Hritonenko, RJ Mur, A Xabadia… - Forest …, 2010 - academic.oup.com
Abstract The Kyoto protocol allows Annex I countries to deduct carbon sequestered by land
use, land-use change, and forestry from their national carbon emissions. J. Thornley and M …

[BOOK][B] Optimal control of age-structured populations in economy, demography, and the environment

R Boucekkine, N Hritonenko, Y Yatsenko - 2011 - api.taylorfrancis.com
The present volume covers a wide range of topics in mathematical modeling and
optimization of economic, demographic, technological, and environmental processes. Each …

The optimal selective logging regime and the Faustmann formula

A Xabadia, RU Goetz - Journal of Forest Economics, 2010 - Elsevier
This study analyzes the optimal selective logging regime of a size-distributed forest where
individual trees compete for scarce resources such as space, light, and nutrients. The …

Optimal birth control problems for a nonlinear vermin population model with size-structure

R Liu, G Liu - Journal of Mathematical Analysis and Applications, 2017 - Elsevier
In this paper we investigate theoretically the least cost-size problem and the least cost-
deviation problem for a nonlinear size-structured vermin population model with separable …

A bang–bang regime in optimal harvesting of size-structured populations

N Hritonenko, Y Yatsenko, RU Goetz… - … Analysis: Theory, Methods …, 2009 - Elsevier
Age-structured and size-structured population models with a distributed harvesting control
are considered and their qualitative behaviors are compared. The maximum principle and …

On the optimal harvesting of size-structured population dynamics

Y Liu, X Cheng, Z He - Applied Mathematics-A Journal of Chinese …, 2013 - Springer
This work is concerned with a kind of optimal control problem for a size-structured biological
population model. Well-posedness of the state system and an adjoint system are proved by …

Theory of optimal harvesting for a nonlinear size-structured population in periodic environments

ZR He, R Liu - International Journal of Biomathematics, 2014 - World Scientific
This paper investigates the theoretical aspects for an optimal harvesting problem of a
nonlinear size-structured population model in a periodic environment. We establish the well …