| 1. |
- Aye, Tin Nwe, 1989-, et al.
(författare)
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Increasing effciency in the EBT algorithm
- 2019
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Ingår i: Proceedings of 18th Applied Stochastic Models and Data Analysis International Conference with the Demographics 2019 Workshop, Florence, Italy: 11-14 June, 2019. - : ISAST: International Society for the Advancement of Science and Technology. - 9786185180331 ; , s. 179-205
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Konferensbidrag (refereegranskat)abstract
- The Escalator Boxcar Train (EBT) is a commonly used method for solving physiologically structured population models. The main goal of this paper is to overcome computational disadvantages of the EBT method. We prove convergence, for a general class of EBT models in which we modify the original EBT formulation, allowing merging of cohorts. We show that this modified EBT method induces a bounded number of cohorts, independent of the number of time steps. This in turn, improve the numerical algorithm from polynomial to linear time. An EBT simulation of the Daphnia model is used as an illustration of these findings.
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| 2. |
- Aye, Tin Nwe, 1989-, et al.
(författare)
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Numerical stability of the escalator boxcar train under reducing system of ordinary differential equations.
- 2017
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Konferensbidrag (refereegranskat)abstract
- The Escalator Boxcar Train (EBT) is one of the most popular numericalmethods used to study the dynamics of physiologically structured population models.The original EBT model accumulates an increasing system of ODEs to solve for eachtime step. In this project, we propose a merging procedure to overcome computationaldisadvantageous of the EBT method, the merging is done as an automatic feature.In particular we apply the model including merging to a colony of Daphnia Pulex.
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| 3. |
- Hellström, Lars, 1974-, et al.
(författare)
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Branch Thinning and the Large-Scale, Self-Similar Structure of Trees
- 2018
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Ingår i: American Naturalist. - : UNIV CHICAGO PRESS. - 0003-0147 .- 1537-5323. ; 192:1, s. E37-E47
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Tidskriftsartikel (refereegranskat)abstract
- Branch formation in trees has an inherent tendency toward exponential growth, but exponential growth in the number of branches cannot continue indefinitely. It has been suggested that trees balance this tendency toward expansion by also losing branches grown in previous growth cycles. Here, we present a model for branch formation and branch loss during ontogeny that builds on the phenomenological assumption of a branch carrying capacity. The model allows us to derive approximate analytical expressions for the number of tips on a branch, the distribution of growth modules within a branch, and the rate and size distribution of tree wood litter produced. Although limited availability of data makes empirical corroboration challenging, we show that our model can fit field observations of red maple (Acer rubrum) and note that the age distribution of discarded branches predicted by our model is qualitatively similar to an empirically observed distribution of dead and abscised branches of balsam poplar (Populus balsamifera). By showing how a simple phenomenological assumptionthat the number of branches a tree can maintain is limitedleads directly to predictions on branching structure and the rate and size distribution of branch loss, these results potentially enable more explicit modeling of woody tissues in ecosystems worldwide, with implications for the buildup of flammable fuel, nutrient cycling, and understanding of plant growth.
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