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A lognormal distribution of the lengths of terminal twigs on self-similar branches of elm trees OAK
Koyama, Kohei; Yamamoto, Ken; Ushio, Masayuki.
Lognormal distributions and self-similarity are characteristics associated with a wide range of biological systems. The sequential breakage model has established a link between lognormal distributions and self-similarity and has been used to explain species abundance distributions. To date, however, there has been no similar evidence in studies of multicellular organismal forms. We tested the hypotheses that the distribution of the lengths of terminal stems of Japanese elm trees (Ulmus davidiana), the end products of a self-similar branching process, approaches a lognormal distribution. We measured the length of the stem segments of three elm branches and obtained the following results: (i) each occurrence of branching caused variations or errors in the...
Palavras-chave: Allometry; Fractal; Phenotypic plasticity; Shoot size; Stochastic process; WBE theory.
Ano: 2017 URL: http://ir.obihiro.ac.jp/dspace/handle/10322/4577
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Switching to Perennial Energy Crops under Uncertainty and Costly Reversibility AgEcon
Song, Feng; Zhao, Jinhua; Swinton, Scott M..
We study a farmer’s decision to convert traditional crop land into growing dedicated energy crops, taking in account sunk conversion costs, uncertainties in traditional and energy crop returns, and learning. The optimal decision rules differ significantly from the expected net present value rule, which ignores learning, and from real option models that allow only one way conversions into energy crops. These models also predict drastically different patterns of land conversions into and out of energy crops over time. Using corn-soybean rotations and switchgrass as examples, we show that the model predictions are sensitive to assumptions about stochastic processes of the returns. Government policies might have unintended consequences: subsidizing conversion...
Tipo: Working or Discussion Paper Palavras-chave: Real options; Irreversibility; Sunk costs; Land conversion; Biofuel; Cellulosic biomass; Dynamic modeling; Stochastic process; Biofuel policy; Land Economics/Use; Resource /Energy Economics and Policy; Risk and Uncertainty; Q42; Q24.
Ano: 2009 URL: http://purl.umn.edu/56195
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Modeling Stochastic Crop Yield Expectations with a Limiting Beta Distribution AgEcon
Hennessy, David A..
The use of plausible stochastic price processes in price risk analysis has allowed advances not seen in crop yield risk analysis. This study develops a stochastic process for yield modeling and risk management. The Pólya urn process is an internally consistent dynamic representation of yield expectations over a growing season that accommodates agronomic events such as growing degree days. The limiting distribution is the commonly used beta distribution. Binomial tree analysis of the process allows us to explore hedging decisions and crop valuation. The method is empirically flexible to accommodate alternative assumptions on the growing environment, such as intra-season input decisions.
Tipo: Journal Article Palavras-chave: Crop abandonment; Crop insurance; Derivative analysis; Growing degree days; Pólya’s urn; Stochastic process; Crop Production/Industries.
Ano: 2011 URL: http://purl.umn.edu/105548
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Crop Research Incentives in a Privatized Industry: A Stochastic Approach AgEcon
Malla, Stavroula; Gray, Richard S..
We model today's privatized crop research industry as a small number of firms, developing and selling differentiated products to heterogeneous producers. Crop variety research is modeled as a search process, which allows us to differentiate between applied and basic research and recognize research as a stochastic process. We use the framework to develop a number of propositions regarding private research incentives, the spillovers of knowledge, and the impact of public policy. The results suggest an underinvestment in research even when property rights have been established.
Tipo: Conference Paper or Presentation Palavras-chave: Search process; Stochastic process; Biotechnology; IPRs; Applied R&D; Basic R&D; Imperfect competition; Differentiated products; Heterogeneous producers.; Agribusiness.
Ano: 2002 URL: http://purl.umn.edu/24936
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