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Community Ecology . Conceptual Issues Community integrity (Clements v Gleason) Individualistic responses versus super-organism Community change St ate-transition models Gap models Assembly rules Description, scenario development, prediction Is there such a thing as a community?.
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Community Ecology • Conceptual Issues • Community integrity (Clements v Gleason) • Individualistic responses versus super-organism • Community change • St ate-transition models • Gap models • Assembly rules • Description, scenario development, prediction • Is there such a thing as a community?
Community Ecology • Practical Issues • Phytosociology, the releve, and classification • Gradient analysis and continuous variation • Direct vs indirect gradient analysis • The math of ordination • Linear vs curvilinear responses • Cluster analysis • PCA, DCA, Discriminant Function Analysis
Simple Linear Regression All of the error is assumed to be in the response variable (Y), which is also the DEPENDENT variable……. Predicting Y from X
Principal Components Analysis First Principal Component This is mathematically a type II regression
Comm. A B C UP • Conceptual Issues • What is a community (Clements v Gleason) • Individualistic responses versus super-organism Community as super-organism (Clements) Abundance DOWN The mythical environmental gradient
Conceptual Issues • Community integrity (Clements v Gleason) • Individualistic responses versus super-organism INDIVIDUALISTIC RESPONSES (Gleason) Abundance UP DOWN The mythical environmental gradient
Comm. A B C Late Community change SuccessionState-transition modelsGap modelsAssembly rules Concepts Initial Floristic Composition Relay Floristics Abundance Early Time
Community change SuccessionState-transition modelsGap modelsAssembly rules Concepts Initial Floristic Composition Relay Floristics Abundance Early The idea is that all species enter early on, but dominate at different points along the way
Community change SuccessionState-transition modelsGap modelsAssembly rules Concepts Initial Floristic Composition Relay Floristics Facilitation Tolerance Inhibition Methods: Chronosequence, Toposequence
Toposequence SuccessionState-transition modelsGap modelsAssembly rules
Community change SuccessionState-transition modelsGap modelsAssembly rules Concepts Yup, it is that matrix thing again. Next Generation A B C D E F .45 .35 .15 .10 .03 .02 A B C D E F .45 .35 .15 .10 .03 .02 .02 .03 .10 .15 .35 .45 Current Methods: Large census to predict recruits under canopy trees
Community change SuccessionState-transition modelsGap modelsAssembly rules Methods: Large census to predict recruits under canopy trees with physiological measures of the plants, intensive computer simulation
Community change SuccessionState-transition modelsGap modelsAssembly rules Paul Keddy: centrifugal succession
Phytosociology, the releve, and classification We perceive the world as a patchy place. Sample each type of patch.
Phytosociology, the releve, and classification These samples are releve’s. In each one you record cover values In each patch you record all species observed
TWINSPAN: Two Way Indicator Species Analysis: Groups plots and species by similarity of where they occur. Facilitates classification into discrete community types
Gradient analysis An obvious gradient is a mountainside, but vegetation may be responding to less obvious gradients (eg, soil nutrition). A DIRECT gradient analysis is where you know the underlying gradient. An INDIRECT gradient analysis is used when you recognize that you might not. Indirect gradient analysis is typically used because even though you see one gradient (eg, elevation) it may be underlain by some other gradients.
Gradient analysis is well suited for detecting continuous variation Vegetation of Lassen and Yosemite. 1995. Bulletin of the Torrey Botanical Society.
Gradient analysis is also well suited for comparing sites Vegetation of Lassen and Yosemite. 1995. Bulletin of the Torrey Botanical Society.
Linking Twinspan clasification with Gradient Analysis Vegetation of Lassen and Yosemite. 1995. Bulletin of the Torrey Botanical Society.
Cluster analysis: many varieties Group centroids Nearest neighbor Furthest neighbor
No “RIGHT” answer Group centroids Nearest neighbor Furthest neighbor
PCA, DCA, DFA,CCA Principal Components Analysis Detrended Correspondence Analysis Discriminant Function Analysis Canonical Correspondence Analysis A B C D E F G H
PCA, DCA, DFA,CCA Principal Components Analysis: “The horseshoe effect” A and H are similar by virtue of lacking the species in C – G, and get placed close in the ordination D A H A B C D E F G H
D A H PCA, DCA, DFA,CCA Detrended Correspondence Analysis: Removes the “The horseshoe effect” A H Used by PLANT ECOLOGISTS who assume a curvilinear response to the environment
PCA, DCA, DFA,CCA Discriminant Function Analysis: Isn’t concerned with explaining variance, but correctly distinguishing known groups. A measure of accuracy can be derived. The model can then be used to classify unknown cases
Multiple regression Y = Constant + a1X1 + a2X2 + a3X3
Canonical Correlation b1Y1 + b2Y2 +b3Y3 = Constant + a1X1 + a2X2 + a3X3 Gets pretty tough to visualize, But it is the same principle