Forest Dynamics with Canopy Gap Expansion and Stochastic Ising Model

Importance of the influence of neighboring canopy gaps upon new gap creation has been clarified by the ecological study of a neotropical forest on Barro Colorado Island (BCI), Panama. A stochastic lattice model for the forest dynamics with interacting canopy gap expansion was introduced by Kubo et al. We give a theorem showing a condition that this model can be regarded as a stochastic Ising model, and that its stationary state is exactly given by a Gibbs state. Using this theorem, we obtain a Gibbs state which remarkably well approximates the real gap-size distribution in BCI.

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In one and two dimensions, every stationary measure for a stochastic Ising Model is a Gibbs state

Communications in Mathematical Physics ◽

10.1007/bf01613147 ◽

1977 ◽

Vol 55 (1) ◽

pp. 37-45 ◽

Cited By ~ 33

Author(s):

R. A. Holley ◽

D. W. Stroock

Keyword(s):

Ising Model ◽

Gibbs State ◽

Two Dimensions ◽

Stationary Measure ◽

Stochastic Ising Model

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Distribution of epicormic branches and foliage on Douglas-fir as influenced by adjacent canopy gaps

Canadian Journal of Forest Research ◽

10.1139/cjfr-2018-0071 ◽

2018 ◽

Vol 48 (11) ◽

pp. 1320-1330

Author(s):

John W. Punches ◽

Klaus J. Puettmann

Keyword(s):

Branch Length ◽

Canopy Gaps ◽

Douglas Fir ◽

Canopy Gap ◽

Tree Age ◽

Gap Size ◽

Terminal Bud ◽

Total Branch Length ◽

A Minor ◽

Epicormic Branches

The influence of adjacent canopy gaps on spatial distribution of epicormic branches and delayed foliage (originating from dormant buds) was investigated in 65-year-old coastal Douglas-fir (Pseudotsuga menziesii var. menziesii (Mirb.) Franco). Sample trees were selected across a broad range of local densities (adjacent canopy gap sizes) from a repeatedly thinned stand in which gaps had been created 12 years prior to our study. Lengths and stem locations of original and epicormic branches were measured within the south-facing crown quadrant, along with extents to which branches were occupied by sequential (produced in association with terminal bud elongation) and (or) delayed foliage. Epicormic branches, while prevalent throughout crowns, contributed only 10% of total branch length and 2% of total foliage mass. In contrast, delayed foliage occupied over 75% of total branch length, accounted for nearly 39% of total foliage mass, and often overlapped with sequential foliage. Canopy gap size did not influence original or epicormic branch length or location. On original branches, larger gaps may have modestly negatively influenced the relative extent of sequential foliage on branches and (or) slightly positively influenced delayed foliage mass. Delayed foliage appears to contribute substantially to Douglas-fir crown maintenance at this tree age, but canopy gap size had a minor influence, at least in the short term.

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The metastable behavior of the three-dimensional stochastic Ising model I

Science in China Series A Mathematics ◽

10.1007/bf02878923 ◽

1997 ◽

Vol 40 (8) ◽

pp. 832-842 ◽

Cited By ~ 5

Author(s):

Dayue Chen ◽

Jianfeng Feng ◽

Minping Qian

Keyword(s):

Ising Model ◽

Three Dimensional ◽

Stochastic Ising Model

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Information Storage in the Stochastic Ising Model at Low Temperature

2019 IEEE International Symposium on Information Theory (ISIT) ◽

10.1109/isit.2019.8849513 ◽

2019 ◽

Author(s):

Ziv Goldfeld ◽

Guy Bresler ◽

Yury Polyanskiy

Keyword(s):

Ising Model ◽

Low Temperature ◽

Information Storage ◽

Stochastic Ising Model

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Input of wind–dispersed seeds into light–gaps and forest sites in a Neotropical forest

Journal of Tropical Ecology ◽

10.1017/s0266467400002807 ◽

1988 ◽

Vol 4 (3) ◽

pp. 239-252 ◽

Cited By ~ 55

Author(s):

Carol K. Augspurger ◽

Susan E. Franson

Keyword(s):

Seed Rain ◽

Community Level ◽

Barro Colorado Island ◽

High Fecundity ◽

Neotropical Forest ◽

Study Plot ◽

Forest Sites ◽

Light Gaps ◽

Growth Of Seedlings ◽

Light Gap

ABSTRACTA total of 52,467 wind-dispersed seeds from 14 tree and 32 liana species fell into 1720 seed traps in 43 paired light-gap and adjacent forest sites on Barro Colorado Island, Panama. Summed at the community level, many more wind-dispersed seeds were collected from light-gaps (61%) than from forest sites (39%). They accumulated from March through May, 1984 to a density of 328 m-2 in gaps and 207 m-2 in forest sites. In contrast, only 33% of the total of 2782 non-wind-dispersed seeds were collected in gaps. Due to the extreme heterogeneity of the seed rain, these differences between gap and forest sites were not statistically significant at the community-level. Gap sites received more wind-dispersed seeds than adjacent forest sites in only 20 of 43 locations and in 13 of 20 species, especially those with individuals of high fecundity near gap sites. Of the estimated 105 million wind-dispersed seeds contributing to the seed rain of the 50 ha study plot, only 4.1% were dispersed to the rare gap sites that enhance the establishment and growth of seedlings for many of these species.

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