Classification and Boundary Vagueness in Mapping Presettlement Forest Types

Presettlement forest types were mapped as fuzzy sets from point data representing trees contained in General Land Office survey notes (circa 1850) for Chippewa County, Michigan. The resulting representation agreed with a polygon map of the same forest types at 66% of the locations (represented as grid cells) in the county. Boundary vagueness was defined in relation to the slope of a linear function fitted to the negative relation between entropy offorest types and distance to polygon boundaries. The similarity between forest type compositions (i.e. classification ambiguity) was shown to account for 55% of the variation in boundary vagueness.

[1]  M. Hutchinson A new procedure for gridding elevation and stream line data with automatic removal of spurious pits , 1989 .

[2]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[3]  B. Buttenfield Representing Data Quality , 1993 .

[4]  P. Greig-Smith,et al.  The Description and Classification of Vegetation. , 1973 .

[5]  M. Dale,et al.  Subarctic forest‐tundra vegetation gradients: The sigmoid wave hypothesis , 1993 .

[6]  P. Redfearn,et al.  The Description and Classification of Vegetation , 1973 .

[7]  Peter A. Burrough,et al.  Fuzzy mathematical methods for soil survey and land evaluation , 1989 .

[8]  Matthew McGranaghan A Cartographic View of Spatial Data Quality , 1993 .

[9]  C. M. Cowell,et al.  Presettlement Piedmont Forests: Patterns of Composition and Disturbance in Central Georgia , 1995 .

[10]  George P. Malanson,et al.  Spatial autocorrelation and distributions of plant species on environmental gradients , 1985 .

[11]  Mike P. Austin,et al.  Continuum Concept, Ordination Methods, and Niche Theory , 1985 .

[12]  A. J. Catana,et al.  Forests of the Harvey N. Ott Preserve , 1967 .

[13]  Margaret A. Oliver,et al.  Geostatistics in physical geography. Part II. Applications. , 1989 .

[14]  Randall J. Schaetzl,et al.  Relationships between soils and presettlement forests in Baraga County, Michigan , 1995 .

[15]  E. A. Bourdo A Review of the General Land Office Survey and of Its Use in Quantitative Studies of Former Forests , 1956 .

[16]  H. Gleason,et al.  The Structure and Development of the Plant Association , 1917 .

[17]  Michael Blakemore,et al.  Part 4: Mathematical, Algorithmic and Data Structure Issues: Generalisation and Error in Spatial Data Bases , 1984 .

[18]  Thomas G. Siccama,et al.  Presettlement and Present Forest Vegetation in Northern Vermont with Special Reference to Chittenden County , 1971 .

[19]  Geoff Bohling,et al.  GSLIB: Geostatistical software library and user's guide. by CLAYTON V. DEUTSCH and A. G. JOURNEL, Oxford Univ. Press, 1992 340 p. Two 3 1/2 in highdensity diskettes $49.95 , 1994 .

[20]  David J. Mulla,et al.  Geostatistical Tools for Modeling and Interpreting Ecological Spatial Dependence , 1992 .

[21]  R. E. Shanks,et al.  Forest Composition and Species Association in the Beech‐Maple Forest Region of Western Ohio , 1953 .

[22]  A. W. Küchler A COMPREHENSIVE METHOD OF MAPPING VEGETATION , 1955 .

[23]  Eric R. Ziegel,et al.  Variowin: Software for Spatial Data Analysis , 1996 .

[24]  Clayton V. Deutsch,et al.  GSLIB: Geostatistical Software Library and User's Guide , 1993 .

[25]  Charles D. Canham,et al.  Catastrophic windthrow in the presettlement forests of Wisconsin , 1984 .

[26]  Bill Shipley,et al.  The individualistic and community-unit concepts as falsifiable hypotheses , 1987 .

[27]  Michael Edward Hohn,et al.  An Introduction to Applied Geostatistics: by Edward H. Isaaks and R. Mohan Srivastava, 1989, Oxford University Press, New York, 561 p., ISBN 0-19-505012-6, ISBN 0-19-505013-4 (paperback), $55.00 cloth, $35.00 paper (US) , 1991 .

[28]  J. E. Potzger,et al.  The Forest Primeval of Marion and Johnson Counties, Indiana, in 1819 , 1951 .

[29]  J. Bezdek,et al.  FCM: The fuzzy c-means clustering algorithm , 1984 .

[30]  James B. Campbell Locating boundaries between mapping units , 1978 .

[31]  H. J. Brinks,et al.  They Left Their Mark: William Austin Burt and His Sons Surveyors of the Public Domain , 1987 .

[32]  G. Edwards,et al.  Modeling uncertainty in photointerpreted boundaries , 1996 .

[33]  G. Whitney,et al.  Relation of Michigan's Presettlement Pine Forests to Substrate and Disturbance History , 1986 .

[34]  H. Gleason,et al.  The individualistic concept of the plant association , 1939 .

[35]  Frederic E. Clements,et al.  Nature and Structure of the Climax , 1936 .

[36]  Alton A. Lindsey,et al.  Edaphic Controls of Tree Species in Presettlement Indiana , 1965 .

[37]  Yvan Pannatier,et al.  Variowin: Software for Spatial Data Analysis in 2D , 1996 .

[38]  A. W. Küchler Boundaries, Transitions and Continua , 1988 .

[39]  Do ent Dr. J. Braun-Blanquet,et al.  Pflan?enso?iologie: Grund?uge der Vegetationskunde , 1928 .

[40]  Stephen E. Fienberg,et al.  Discrete Multivariate Analysis: Theory and Practice , 1976 .

[41]  李幼升,et al.  Ph , 1989 .

[42]  D. Albert Regional landscape ecosystems of Michigan, Minnesota and Wisconsin: a working map and classification. , 1995 .

[43]  G. Cottam,et al.  The Phytosocioloy of an Oak Woods in Southwestern Wisconsin , 1949 .

[44]  C. Woodcock,et al.  Theory and methods for accuracy assessment of thematic maps using fuzzy sets , 1994 .

[45]  Russell G. Congalton,et al.  A review of assessing the accuracy of classifications of remotely sensed data , 1991 .