174
Views
11
CrossRef citations to date
0
Altmetric
Statistics in Environment

Hierarchical Spatial Modeling and Prediction of Multiple Soil Nutrients and Carbon Concentrations

, , , &
Pages 434-453 | Received 01 Oct 2006, Accepted 01 Jun 2007, Published online: 05 Feb 2008

References

  • Aber , J. , McDowell , W. , Nadelhoffer , K. , Magill , A. , Berntson , G. , Kamakea , M. , McNulty , S. , Currie , W. , Rustad , L. , Fernandez , I. ( 1998 ). Nitrogen saturation in temperate ecosystems . Bioscience 48 : 921 – 934 .
  • Amundson , R. ( 2001 ). The carbon budgets in soils . Annual Rev. Earth Planetory Sci. 29 : 535 – 562 .
  • Banerjee , S. , Carlin , B. P. , Gelfand , A. E. ( 2003 ). Hierarchical Modeling and Analysis for Spatial Data . London : Chapman and Hall .
  • Bossatta , E. , Agren , G. I. (1991). Dynamics of carbon and nitrogen in the organic matter of the soil: a generic theory. Amer. Naturalist 138:227–245.
  • Burke , I. C. , Yonker , C. M. , Parton , W. J. , Cole , C. V. , Flach , K. , Schimel , D. S. ( 1989 ). Texture, climate, and cultivation effects on soil organic matter content in U.S. grassland soils . Soil Sci. Soc. Amer. J. 53 : 800 – 805 .
  • Carlin , B. P. , Louis , T. A. ( 2000 ). Bayes and Emperical Bayes Methods for Data Analysis. , 2nd ed. Boca Raton , FL : Chapman and Hall/CRC .
  • Christensen , W. F. , Ameniya , Y. ( 2002 ). Latent variable analysis of multivariate spatial data . J. Amer. Statist. Assoc. 97 : 457,302 – 317(16) .
  • Clark , J. ( 2005 ). Why environmental scientists are becoming Bayesians . Ecol. Lett. 8 : 2 – 14 .
  • Clesceri , L. S. , Greenburg , A. E. , Eaton , A. D. eds. ( 1998 ). Standard Methods for the Examination of Water and Wastewater. , 20th ed. Prepared and Published jointly by APHA, AWWA and WEF . Baltimore , MD : United Book Press, Inc.
  • Dempster , A. , Laird , N. , Rubin , D. B. ( 1977 ). Maximum likelihood from incomplete data via the EM algorithm (with discussion) . J. Roy. Statist. Soc. B 39 : 1 – 38 .
  • Ettema , C. , Wardle , D. A. ( 2002 ). Trends in ecology and evolution . Spatial Soil Ecol. 17 : 177 – 183 .
  • Gelfand , A. E. , Smith , A. F. M. ( 1990 ). Sampling based approaches to calculating marginal densities . J. Amer. Statist. Assoc. 5 : 398 – 409 .
  • Gelfand , A. E. , Kim , H. , Sirman , C. F. , Banerjee , S. K. ( 2003 ). Spatial modeling with spatially varying coefficient processes . J. Amer. Statist. Assoc. 98 .
  • Gelfand , A. E. , Schmidt , A. M. , Banerjee , S. , Sirmans , C. F. ( 2004 ). Nonstationary multivariate process modeling through spatially varying coregionalization . Test 13 : 263 – 312 .
  • Gelman , A. , Carlin , J. B. , Stern , H. S. , Rubin , D. B. ( 1995 ). Bayesian Data Analysis . Boca Raton , FL : Chapman and Hall/CRC .
  • Hastings , W. K. ( 1970 ). Monte Carlo sampling methods using Markov chains and their applications . Biometrika 57 ( 1 ): 97 – 109 .
  • Kaye , J. P. , Barrett , J. E. , Burke I. C. ( 2002 ). Stable carbon and nitrogen pools in grassland soils of variable texture and carbon content . Ecosystems 5 : 461 – 471 .
  • Kaye , J. P. , McCulley , R. , Burke , I. C. ( 2005 ). Carbon fluxes, nitrogen cycling and soil microorganisms in adjacent urban, native and agricultural ecosystems . Global Change Biol. 11 : 575 – 587 .
  • Liu , X. , Wall , M. M. , Hodges , J. S. ( 2005 ). Generalized spatial structural equation models . Biostatistics 6 : 539 – 557 .
  • Luck , M. A. , Wu , J. ( 2002 ). A gradient analysis of the landscape pattern of urbanization in the Phoenix metropolitan area of USA . Landscape Ecol. 17 : 327 – 339 .
  • MAG; Maricopa Association of Governments . ( 1997 ). Urban Atlas, Phoenix Metropolitan Area . Phoenix , AZ : Maricopa Association of Governments .
  • Majumdar , A. , Munneke , H. J. , Gelfand , A. E. , Banerjee , S. , Sirmans , C. S. ( 2006 ). Gradients in spatial response surfaces with application to land-values . J. Bus. Econ. Statist. 24 : 77 – 90 .
  • Oleson , J. J. , Hope , D. , Gries , C. , Kaye , J. ( 2005 ). A Bayesian approach to estimating regression coefficients for soil properties in land-use patches with varying degrees of spatial variation . Environmetrics 17 : 517 – 525 .
  • Parton , W. J. , Schimel , D. S. , Cole , C. V. , Ojima , D. S. ( 1987 ). Analysis of factors controlling soil organic matter levels in great plains grasslands . Soil Sci. Soc. Amer. J. 51 : 1173 – 1179 .
  • Peterson , S. A. , Urquhart , N. S. , Welch , E. B. ( 1999 ). Sample representativeness: a must for reliable regional lake condition estimates . Environ. Sci. Technol. 33 : 1559 – 1565 .
  • Robertson , G. P. , Klingensmith , K. , Klug , M. , Paul , E. , Crum , J. ( 1997 ). Soil resources, microbial activity and primary production across and agricultural ecosystem . Ecolog. Applic. 7 : 158 – 170 .
  • Royle , M. , Berliner , L. M. ( 1999 ). A hierarchical approach to multivariate spatial modeling and prediction . J. Agricult. Biol. Environ. Statist. 1 : 29 – 56 .
  • Schafer , J. L. ( 1997 ). Analysis of Incomplete Multivariate Data . London : Chapman and Hall .
  • Sclesinger , W. H. , Rakes , J. A. Hartley , A. E. , Cross , A. F. (1996). On the spatial pattern of soil nutrients in desert eco-systems. Ecology 77(2):364–374.
  • Schmidt , A. M. , Gelfand , A. E. ( 2003 ). A Bayesian coregionalization approach for multivariate pollutant data . J. Geo-phys. Res. Atmospheres 108:D24 : 8783 .
  • Sherrod , L. , Dunn , G. , Peterson , G. ( 2002 ). Inorganic carbon analysis by modified pressure-calcimeter method . Soil Sci. Soc. Amer. 66 : 299 – 305 .
  • Stevens , D. L. , Jr. ( 1997 ). Variable density grid-based sampling designs for continuous spatial populations . Environmetrics 8 : 167 – 195 .
  • U.S. Census Bureau . ( 2000 ). Phoenix-Mesa metropolitan statistical area population demographics . http://www.census.gov .
  • Ver Hoef , J. M. , Barry , R. P. ( 1998 ). Constructing and fitting models for cokriging and multivariate spatial prediction . J. Statist. Plann. Infer. 69 ( 2 ): 275 – 294 .
  • Wackernagel , H. ( 1998 ). Multivariate Geostatistics: An Introduction with Applications. , 2nd ed. Berlin : Springer Verlag .
  • Wikle , C. ( 2003 ). Hierarchical Bayesian models for predicting the spread of ecological processes . Ecology 84 : 1382 – 1394 .
  • Wu , J. , David , J. L. ( 2002 ). A spatially explicit hierarchical approach to modeling complex ecological systems: theory and applications . Ecol. Model. 153 : 7 – 26 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.