Statistical Models for Limiting Nutrient Relations in Inland Waters

References

• Blackman , F. F. 1905 . “Optima and Limiting Factors,” . The Annals of Botany , 19 : 281 – 295 .
   Google Scholar
• Bradford , M. E. and Peters , R. H. 1987 . “The Relationship Between Chemically Analyzed Phosphorus Fractions and Bioavailable Phosphorus,” . Limnology and Oceanography , 32 : 1124 – 1137 .
   Web of Science ®Google Scholar
• Canfield , D. E. Jr. and Bachmann , R. W. 1981 . “Prediction of Total Phosphorus Concentrations, Chlorophyll a, and Secchi Depths in Natural and Artificial Lakes,” . Canadian Journal of Fisheries and Aquatic Sciences , 38 : 414 – 423 .
   Web of Science ®Google Scholar
• Chapra , S. C. and Robertson , A. 1977 . “Great Lakes Eutrophication: The Effect of Point Source Control of Total Phosphorus,” . Science , 196 : 1448 – 1449 .
   PubMed Web of Science ®Google Scholar
• Collins , N. C. and Sprules , W. G. 1983 . “Introduction to Large-Scale Comparative Studies of Lakes,” . Canadian Journal of Fisheries and Aquatic Sciences , 40 : 1750 – 1751 .
   Web of Science ®Google Scholar
• Dempster , A. P. , Laird , N. M. and Rubin , D. B. 1977 . “Maximum Likelihood From Incomplete Data Via the EM Algorithm,” . Journal of the Royal Statistical Society , 39 : 1 – 38 . (with discussion), Ser. B
   Google Scholar
• Dillon , P. J. and Rigler , F. H. 1974 . “The Phosphorus-Chlorophyll Relationship in Lakes,” . Linmology and Oceanography , 19 : 767 – 773 .
   Web of Science ®Google Scholar
• Dodds , W. K. , Johnson , K. R. and Priscu , J. C. 1989 . “Simultaneous Nitrogen and Phosphorus Deficiency in Natural Phytoplankton Assemblages: Theory, Empirical Evidence, and Implications for Lake Management,” . Lake and Reservoir Management , 5 : 21 – 26 .
   Google Scholar
• Efron , B. and Hinkley , D. V. 1978 . “Assessing the Accuracy of the Maximum Likelihood Estimator: Observed Versus Expected Fisher Information,” . Biometrika , 65 : 457 – 487 .
   Web of Science ®Google Scholar
• Flynn , K. J. 1988 . “The Concept of ‘Primary Production’ in Aquatic Ecology,” . Limnology and Oceanography , 33 : 1215 – 1216 .
   Web of Science ®Google Scholar
• Fuhs , G. W. , Demmerie , S. D. , Canelli , E. and Chen , M. 1972 . “Characterization of Phosphorus Limited Plankton Algae (With Reflections on the Limiting-Nutrient Concept),” . In Nutrients and Eutrophication, Limnology, and Oceanography Special Symposium No. 1 , Edited by: Likens , G. E. 113 – 134 . Lawrence , Kansas : Society for Limnology and Oceanography .
   Google Scholar
• Hartley , H. O. 1958 . “Maximum Likelihood Estimation From Incomplete Data,” . Biometrics , 14 : 174 – 194 .
   Web of Science ®Google Scholar
• Hoyer , M. V. and Jones , J. R. 1983 . “Factors Affecting the Relation Between Phosphorus and Chlorophyll a in Midwestern Reservoirs,” . Canadian Journal of Fisheries and Aquatic Sciences , 40 : 192 – 199 .
   Web of Science ®Google Scholar
• Jensen , A. L. 1988 . “Modeling the Effect of Acidity on Mercury Uptake by Walleye in Acidic and Circumneutral Lakes,” . Environmental Pollution , 50 : 285 – 294 .
   PubMed Web of Science ®Google Scholar
• Jones , J. R. and Bachmann , R. W. 1976 . “Prediction of Phosphorus and Chlorophyll Levels in Lakes,” . Journal of the Water Pollution Control Federation , 48 : 2176 – 2182 .
   Web of Science ®Google Scholar
• Jones , J. R. and Bachmann , R. W. 1978 . “Phosphorus Removal by Sedimentation in Some Iowa Reservoirs,” . Verhandlungen Internationale Vereinigung Fur Theoretische und Angewandte Limnologie , 20 : 1576 – 1580 .
   Google Scholar
• Jones , J. R. , Knowlton , M. F. and Swar , D. B. 1989 . “Limnological Reconnaissance of Waterbodies in Central and Southern Nepal,” . Hydrobiologia , 184 : 171 – 189 .
   Web of Science ®Google Scholar
• Kaiser , M. S. 1990 . “Statistical Models for Limiting Factors in Ecology,” , University of Missouri-Columbia, Dept. of Statistics . unpublished Ph.D. dissertation
   Google Scholar
• Knowlton , M. F. , Hoyer , M. V. and Jones , J. R. 1984 . “Sources of Variability in Phosphorus and Chlorophyll and Their Effects on Use of Lake Survey Data,” . Water Resources Bulletin , 20 : 397 – 407 .
   Google Scholar
• Liebig , J. 1840 . Chemistry in its Application to Agriculture and Physiology , London : Taylor and Walton .
   Google Scholar
• Louis , T. A. 1982 . “Finding the Observed Information Matrix When Using the EM Algorithm,” . Journal of the Royal Statistical Society , 44 : 226 – 233 . Ser. B
   Google Scholar
• Maller , R. A. , deBoer , E. S. , Joll , L. M. , Anderson , D. A. and Hinde , J. P. 1983 . “Determination of the Maximum Foregut Volume of Western Rock Lobsters (Panulirus cygnus) From Field Data,” . Biometrics , 39 : 543 – 551 .
   Web of Science ®Google Scholar
• Marten , G. G. and Polovina , J. J. “A Comparative Study of Fish Yields From Various Tropical Ecosystems,” . Theory and Management of Tropical Fisheries, Proceedings of the ICLARM/CSIRO Workshop on the Theory and Management of Tropical Multispecies Stocks . Edited by: Pauly , D. and Murphy , G. I. pp. 255 – 285 . Cronulla , , Australia : Commonwealth Scientific and Industrial Research Organization .
   Google Scholar
• McCauley , E. , Downing , J. A. and Watson , S. 1989 . “Sigmoid Relationships between Nutrients and Chlorophyll among Lakes,” . Canadian Journal of Fisheries and Aquatic Sciences , 46 : 1171 – 1175 .
   Web of Science ®Google Scholar
• Morris , D. P. and Lewis , W. M. Jr. 1988 . “Phytoplankton Nutrient Limitation in Colorado Mountain Lakes,” . Freshwater Biology , 20 : 315 – 327 .
   Web of Science ®Google Scholar
• Nelder , J. A. and Mead , R. 1965 . “A Simple Method for Function Minimization,” . The Computer Journal , 7 : 308 – 313 .
   Web of Science ®Google Scholar
• Orchard , T. and Woodbury , M. A. “A Missing Information Principle: Theory and Applications,” . Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability . Edited by: Le , L. M. , Cam , Neyman J. and Scott , E. L. Vol. 1 , pp. 697 – 715 . Berkeley , CA : University of California Press .
   Google Scholar
• Pianka , E. R. 1978 . Evolutionary Ecology, , 2nd ed. , New York : Harper and Row .
   Google Scholar
• Prairie , Y. T. , Duarte , C. M. and Kalff , J. 1989 . “Unifying Nutrient-Chlorophyll Relationships in Lakes,” . Canadian Journal of Fisheries and Aquatic Sciences , 46 : 1176 – 1182 .
   Web of Science ®Google Scholar
• Press , W. H. , Flannery , B. P. , Teukolsky , S. A. and Vetterling , W. T. 1986 . Numerical Recipes: The Art of Scientific Computing , Cambridge , , UK : Cambridge University Press .
   Google Scholar
• Prepas , E. E. and Trew , D. O. 1983 . “Evaluation of the Phosphorus-Chlorophyll Relationship for Lakes Off the Precambrian Shield in Western Canada,” . Canadian Journal of Fisheries and Aquatic Sciences , 40 : 27 – 35 .
   Web of Science ®Google Scholar
• Quesenberry , C. P. 1986 . “Some Transformation Methods in Goodness-of-Fit,” . In Goodness-of-Fit Techniques , Edited by: D'Agostino , R. B. and Stephens , M. A. 235 – 277 . New York : Marcel Dekker .
   Google Scholar
• Raftery , A. E. 1984 . “A Continuous Multivariate Exponential Distribution,” . Communications in Statistics, Part A—Theory and Methods , 13 : 947 – 965 .
   Web of Science ®Google Scholar
• Sakamoto , M. 1966 . “Primary Production by Phytoplankton Community in Some Japanese Lakes and Its Dependence on Lake Depth,” . Archives for Hydrobiologia , 62 : 1 – 28 .
   Google Scholar
• Schindler , D. W. 1977 . “Evolution of Phosphorus Limitation in Lakes,” . Science , 195 : 260 – 262 .
   PubMed Web of Science ®Google Scholar
• Smith , V. H. 1979 . “Nutrient Dependence of Primary Productivity in Lakes,” . Limnology and Oceanography , 24 : 1051 – 1064 .
   Web of Science ®Google Scholar
• Smith , V. H. 1982 . “The Nitrogen and Phosphorus Dependence of Algal Biomass in Lakes: An Empirical and Theoretical Analysis,” . Limnology and Oceanography , 27 : 1101 – 1112 .
   Web of Science ®Google Scholar
• Smith , V. H. and Shapiro , J. 1981 . “Chlorophyll-Phosphorus Relations in Individual Lakes: Their Importance to Lake Restoration Strategies,” . Environmental Science and Technology , 15 : 444 – 451 .
   PubMed Web of Science ®Google Scholar
• Trexler , J. C. , McCulloch , C. E. and Travis , J. 1988 . “How Can the Functional Response Best be Determined?,” . Oecologia , 76 : 206 – 214 .
   PubMed Web of Science ®Google Scholar
• Walker , W. W. Jr. 1986 . “Empirical Methods for Predicting Eutrophication in Impoundments: Applications Manual,” , Vicksburg , MS : U. S. Army Engineer Waterways Experiment Station . Technical Report E-81–9
   Google Scholar
• Walmsley , R. D. 1984 . “A Chlorophyll a Trophic Status Classification System for South African Impoundments,” . Journal of Environmental Quality , 13 : 97 – 104 .
   Web of Science ®Google Scholar
• Ward , L. K. 1982 . “The Conservation of Juniper: Longevity and Old Age,” . Journal of Applied Ecology , 19 : 917 – 928 .
   Web of Science ®Google Scholar
• White , E. 1989 . “Utility of Relationships Between Lake Phosphorus and Chlorophyll a as Predictive Tools in Eutrophication Control Studies,” . New Zealand Journal of Marine and Freshwater Research , 23 : 35 – 41 .
   Web of Science ®Google Scholar
• Winkler , O. W. “On Triangular Correlation,” . Proceedings of the Business and Economic Statistics Section . pp. 606 – 611 . American Statistical Association .
   Google Scholar