We study the structure of the Liouville quantum gravity (LQG) surfaces that are cut out as one explores a conformal loop-ensemble
Process-based agroecosystem models are powerful tools to assess performance of managed landscapes, but their ability to accurately represent reality is limited by the types of input data they can use. Ensuring these models can represent cropping field heterogeneity and environmental impact is important, especially given the growing interest in using agroecosystem models to quantify ecosystem services from best management practices and land use change. We posited that augmenting process-based agroecosystem models with additional field-specific information such as topography, hydrologic processes, or independent indicators of yield could help limit simulation artifacts that obscure mechanisms driving observed variations. To test this, we augmented the agroecosystem model Agricultural Production Systems Simulator (APSIM) with field-specific topography and satellite imagery in a simulation framework we call Foresite. We used Foresite to optimize APSIM yield predictions to match those created from a machine learning model built on remotely sensed indicators of hydrology and plant productivity. Using these improved subfield yield predictions to guide APSIM optimization, total
- NSF-PAR ID:
- 10376175
- Publisher / Repository:
- IOP Publishing
- Date Published:
- Journal Name:
- Environmental Research Letters
- Volume:
- 17
- Issue:
- 11
- ISSN:
- 1748-9326
- Page Range / eLocation ID:
- Article No. 114010
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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Abstract for$$\hbox {CLE}_{\kappa '}$$ in (4, 8) that is drawn on an independent$$\kappa '$$ -LQG surface for$$\gamma $$ . The results are similar in flavor to the ones from our companion paper dealing with$$\gamma ^2=16/\kappa '$$ for$$\hbox {CLE}_{\kappa }$$ in (8/3, 4), where the loops of the CLE are disjoint and simple. In particular, we encode the combined structure of the LQG surface and the$$\kappa $$ in terms of stable growth-fragmentation trees or their variants, which also appear in the asymptotic study of peeling processes on decorated planar maps. This has consequences for questions that do a priori not involve LQG surfaces: In our paper entitled “$$\hbox {CLE}_{\kappa '}$$ CLE Percolations ” described the law of interfaces obtained when coloring the loops of a independently into two colors with respective probabilities$$\hbox {CLE}_{\kappa '}$$ p and . This description was complete up to one missing parameter$$1-p$$ . The results of the present paper about CLE on LQG allow us to determine its value in terms of$$\rho $$ p and . It shows in particular that$$\kappa '$$ and$$\hbox {CLE}_{\kappa '}$$ are related via a continuum analog of the Edwards-Sokal coupling between$$\hbox {CLE}_{16/\kappa '}$$ percolation and the$$\hbox {FK}_q$$ q -state Potts model (which makes sense even for non-integerq between 1 and 4) if and only if . This provides further evidence for the long-standing belief that$$q=4\cos ^2(4\pi / \kappa ')$$ and$$\hbox {CLE}_{\kappa '}$$ represent the scaling limits of$$\hbox {CLE}_{16/\kappa '}$$ percolation and the$$\hbox {FK}_q$$ q -Potts model whenq and are related in this way. Another consequence of the formula for$$\kappa '$$ is the value of half-plane arm exponents for such divide-and-color models (a.k.a. fuzzy Potts models) that turn out to take a somewhat different form than the usual critical exponents for two-dimensional models.$$\rho (p,\kappa ')$$ -
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