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A. D. Biggs D. Rusin I. W. A. Browne A. G. de Bruyn N. J. Jackson L. V. E. Koopmans J. P. McKean S. T. Myers R. D. Blandford K.-H. Chae C. D. Fassnacht M. A. Norbury T. J. Pearson P. M. Phillips A. C. S. Readhead P. N. Wilkinson 《Monthly notices of the Royal Astronomical Society》2003,338(4):1084-1088
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Suppose that ¯(x1),...,¯Z(xn). are observations of vector-valued random function ¯(x). In the isotropic situation, the sample variogram γ*(h) for a given lag h is $$\bar \gamma ^ * (h) = \frac{1}{{2N(h)}}\mathop \sum \limits_{s(h)} (\overline Z (x_1 ) - \overline Z (x_1 )) \overline {(Z} (x_1 ) - \overline Z (x_1 ))^T $$ where s(h) is a set of paired points with distance h and N(h) is the number of pairs in s(h).. For a selection of lags h1, h2, .... hk such that N (h1) > O. we obtain a ktuple of (semi) positive definite matrices $\bar \gamma ^ * (h_{ 1} ),. . . ., \bar \gamma ^ * (h_{ k} )$ . We want to determine an orthonormal matrix B which simultaneously diagonalizes the $\bar \gamma ^ * (h_{ 1} ),. . . ., \bar \gamma ^ * (h_{ k} )$ or nearly diagonalizes them in the sense that the sum of squares of offdiagonal elements is small compared to the sum of squares of diagonal elements. If such a B exists, we linearly transform $\overline Z (x)$ by $\overline Y (x) = B\overline Z (x)$ . Then, the resulting vector function $\overline Y (x)$ has less spatial correlation among its components than $\overline Z (x)$ does. The components of $\overline Y (x)$ with little contribution to the variogram structure may be dropped, and small crossvariograms fitted by straightlines. Variogram models obtained by this scheme preserve the negative definiteness property of variograms (in the matrix-valued function sense). A simplified analysis and computation in cokriging can be carried out. The principles of this scheme arc presented in this paper. 相似文献
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This paper investigates the role of housing age in constraining residential mobility, measured as the percent of households that have moved into their homes in the past 15 months. The leading explanation for why mobility rates differ so much among regions of the United States has been the overall level of growth. The present analysis shows that the growth effect operates through both the newness of population (migration) and the newness of housing available for occupancy by all local residents. The posited explanation for this housing age effect is that progressively older units contain increasingly settled occupants, yielding fewer opportunities for in-movers in areas with older housing. It is empirically demonstrated that households in older housing have lower likelihood of recent mobility even after controlling for age, tenure, migration status, and state location of residence. The analysis reveals the temporal interdependency of mobility, migration, person age, and housing age. 相似文献
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Myers developed a matrix form of the cokriging equations, but one that entails the solution of a large system of linear equations.
Large systems are troublesome because of memory requirements and a general increase in the matrix condition number. We transform
Myers’s system into a set of smaller systems, whose solution gives the classical kriging results, and provides simultaneously
a nested set of lower dimensional cokriging results. In the course of developing the new formulation we make an interesting
link to the Cauchy-Schwarz condition for the invertibility of a system, and another to a simple situation of coregionalization.
In addition, we proceed from these new equations to a linear approximation to the cokriging results in the event that the
crossvariograms are small, allowing one to take advantage of a recent results of Xie and others which proceeds by diagonalizing
the variogram matrix function over the lag classes. 相似文献
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The 1300 Ma Fraser Complex in the Albany‐Fraser Orogen of Western Australia is a thrust stack of mainly gabbroic rocks metamorphosed to granulite facies. This package of fault‐bounded units was elevated from a deep crustal level onto the margin of the Yilgarn Craton during continental collision between the Mawson and Yilgarn Cratons. Incompatible trace‐element distributions demand at least three mantle sources. Primitive‐mantle‐normalised incompatible‐element distributions show strong negative Ta–Nb anomalies, typical of subduction‐derived magmas. Three lines of evidence indicate that the mafic magmas did not acquire these anomalies by assimilation of crustal rocks: (i) major‐element compositions do not allow appreciable contamination with felsic material; (ii) Ni contents of many mafic rocks are too high for a significant contribution from a felsic assimilant; and (iii) Sr and Nd isotopic data support a largely juvenile source for the magmas that produced the Fraser Complex. Hence, the Ta–Nb anomalies are interpreted to reflect subduction‐related magmatic sources. On multielement diagrams, depletions in Sr, Eu, P, and Ti can be explained by fractional crystallisation, whereas Th and Rb depletions in many of the Fraser Complex rocks probably reflect losses during granulite‐facies metamorphism. These results suggest that the lower crust in this region at 1300 Ma was dominantly of arc origin, and there is no evidence to support mantle plume components. The Fraser Complex is interpreted as remnants of oceanic arcs that were swept together and tectonically interleaved with the margin of the Mawson Craton just before, or during, collision with the Yilgarn Craton at 1300 Ma. 相似文献
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Dennis J. Geist James D. Myers Carol D. Frost 《Contributions to Mineralogy and Petrology》1988,99(1):105-112
Sr and Nd isotopic ratios are reported from mineral separates and bulk rock samples from the Edgecumbe Volcanic Field in southeast Alaska, a suite of lavas that has developed by assimilation. Megacrysts in the basaltic unit and the rhyodacites are in isotopic equilibrium with their matrices. Because the rhyodacites developed as the result of assimilation, the assimilate must have been completely dissolved. In contrast, megacrysts in the two andesitic units are in isotopic disequilibrium with their matrix. These megacrysts must be a mixture of those inherited from the contaminant, crystals in equilibrium with the groundmass, and possibly crystals inherited from a mafic liquid. 相似文献