130 research outputs found
Maximum-likelihood estimation of lithospheric flexural rigidity, initial-loading fraction, and load correlation, under isotropy
Topography and gravity are geophysical fields whose joint statistical
structure derives from interface-loading processes modulated by the underlying
mechanics of isostatic and flexural compensation in the shallow lithosphere.
Under this dual statistical-mechanistic viewpoint an estimation problem can be
formulated where the knowns are topography and gravity and the principal
unknown the elastic flexural rigidity of the lithosphere. In the guise of an
equivalent "effective elastic thickness", this important, geographically
varying, structural parameter has been the subject of many interpretative
studies, but precisely how well it is known or how best it can be found from
the data, abundant nonetheless, has remained contentious and unresolved
throughout the last few decades of dedicated study. The popular methods whereby
admittance or coherence, both spectral measures of the relation between gravity
and topography, are inverted for the flexural rigidity, have revealed
themselves to have insufficient power to independently constrain both it and
the additional unknown initial-loading fraction and load-correlation fac- tors,
respectively. Solving this extremely ill-posed inversion problem leads to
non-uniqueness and is further complicated by practical considerations such as
the choice of regularizing data tapers to render the analysis sufficiently
selective both in the spatial and spectral domains. Here, we rewrite the
problem in a form amenable to maximum-likelihood estimation theory, which we
show yields unbiased, minimum-variance estimates of flexural rigidity,
initial-loading frac- tion and load correlation, each of those separably
resolved with little a posteriori correlation between their estimates. We are
also able to separately characterize the isotropic spectral shape of the
initial loading processes.Comment: 41 pages, 13 figures, accepted for publication by Geophysical Journal
Internationa
Scattering analysis of planar electric and magnetic dipoles in multilayered chiral structures
Identificação de embarcações em imagens aerotransportadas de radar de abertura sintética (R-99 SAR) na área marítima do Brasil
Spatiospectral localization of isostatic coherence anisotropy in Australia and its relation to seismic anisotropy: Implications for lithospheric deformation
Land cover classification of Lago Grande de Curuai floodplain (Amazon, Brazil) using multi-sensor and image fusion techniques
A Range of Earth Observation Techniques for Assessing Plant Diversity
AbstractVegetation diversity and health is multidimensional and only partially understood due to its complexity. So far there is no single monitoring approach that can sufficiently assess and predict vegetation health and resilience. To gain a better understanding of the different remote sensing (RS) approaches that are available, this chapter reviews the range of Earth observation (EO) platforms, sensors, and techniques for assessing vegetation diversity. Platforms include close-range EO platforms, spectral laboratories, plant phenomics facilities, ecotrons, wireless sensor networks (WSNs), towers, air- and spaceborne EO platforms, and unmanned aerial systems (UAS). Sensors include spectrometers, optical imaging systems, Light Detection and Ranging (LiDAR), and radar. Applications and approaches to vegetation diversity modeling and mapping with air- and spaceborne EO data are also presented. The chapter concludes with recommendations for the future direction of monitoring vegetation diversity using RS
The Root solution to the multi-marginal embedding problem: an optimal stopping and time-reversal approach
We provide a complete characterisation of the Root solution to the Skorokhod embedding problem (SEP) by means of an optimal stopping formulation. Our methods are purely probabilistic and the analysis relies on a tailored time-reversal argument. This approach allows us to address the long-standing question of a multiple marginals extension of the Root solution of the SEP. Our main result establishes a complete solution to the n-marginal SEP using first hitting times of barrier sets by the time–space process. The barriers are characterised by means of a recursive sequence of optimal stopping problems. Moreover, we prove that our solution enjoys a global optimality property extending the one-marginal Root case. Our results hold for general, one-dimensional, martingale diffusions
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