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Allometric Partitioning Theory Versus Optimal Partitioning Theory : The Adjustment of Biomass Allocation and Internal C-N Balance to Shading and Nitrogen Addition in Fritillaria unibracteata (Liliaceae)

Guo H., Xu B., Wu Y., Shi F., Wu C., Wu N.

Polish Journal of Ecology

2016

Vol. 64, nr 2

189--199

Fritillaria unibracteata is a classic perennial alpine herb. In this study, we examined it's responses to shading (SH) and nitrogen addition (NA), as well as its correlation with internal C-N balance to detect how it adjusted to the changes of habitat conditions. Randomized block experiment was carried out in the field in Chuanbeimu Research Station in Songpan County, Sichuan Province, China (32°09′54″N, 103°38′36″E, altitude 3300 m a.s.l.). Two growing seasons after NA and SH, Fritillaria unibracteata's total plant biomass decreased significantly, with the proportion of biomass allocated to aboveground significantly increased. In addition, in this study, under both SH and NA treatments, Fritillaria unibracteata increased its biomass allocation to above-ground, which consisted with optimal partitioning theory. Moreover, Fritillaria unibracteata's biomass allocation was significantly correlated with its internal C-N status, regardless of nitrogen and light condition. We conclude that Fritillaria unibracteata optimizes its biomass allocation between root and shoot by adjusting its internal C-N balance, which would not be changed by the specialized resource storage organ-bulb.

On Finding Optimal Partitions of Measurable Space

Dall’Aglio M., Legut J., Wilczyński M.

Mathematica Applicanda

2015

Vol. 43, No. 2

157--172

We present an algorithm for nding almost optimal partitions of the unit interval [0; 1) according to given nonatomic measures μ1, μ2, ... μn. This algorithm is based on the idea of Riemann integral and the linear programming method. We also discuss the number of cuts needed for nding the optimal partitions.

W pracy zaprezentowano algorytm uzyskania prawie optymalnego podziału odcinka jednostkowego [0; 1) według danych probabilistycznych miar bezatomowych μ1, μ2, ... μn. Algorytm ten oparty jest na idei całki Riemanna oraz wykorzystuje metodę programowania liniowego. Ponadto autorzy podają wystarczającą liczbę cięć potrzebnych do uzyskania podziałów optymalnych.