Statistical Approaches for Hidden Variables in Ecology. Nathalie Peyrard
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two latent variables can be see...Figure 7.8. Model-based ordination analysis, as above, but when we include the h...Figure 7.9. Cross-validation predicted probability of (a) presence and (b) cross...
8 Chapter 8Figure 8.1. Illustration of dependency in the PLN model. Random variables are ci...Figure 8.2. PLN: geometric view of the model for two species. A) Positions in th...Figure 8.3. Poisson log-normal model with the “site” covariate. Representation o...Figure 8.4. Poisson log-normal model with the “period” covariate. Representation...Figure 8.5. Dimension reduction for (left to right): a model without covariates;...Figure 8.6. Representation of samples on the AEI islet in the first principal pl...Figure 8.7. Effect of parameter λ on edge density (left) and model fitting (righ...Figure 8.8. Stability of edges selected for the model including the effects of t...Figure 8.9. The selected interaction network: visualization using the PLNmodels ...Figure 8.10. The selected interaction network: visualization of the partial corr...Figure 8.11. Interactions between two sea urchin species: red (STRFRAAD, Strongy...
9 Chapter 9Figure 9.1. Polar representation of VPI (equation 9.3) by values of ℓ for four c...Figure 9.2. Geometric mean of the square mean quadratic prediction errors over r...Figure 9.3. Circles of correlations resulting from the first three components. F...Figure 9.4. Spatial representation of the first three components. For a color ve...Figure 9.5. Geometric mean of the square roots of the mean quadratic prediction ...Figure 9.6. Geometric mean of the RMSE as a function of the number of components...Figure 9.7. Factorial planes (1,2), (1,3) and (2,3) obtained using mixed-SCGLR o...Figure 9.8. Observed and predicted abundance maps for the species with the highe...
10 Chapter 10Figure 10.1. Conventions used in representing an SEM. Latent variables are shown...Figure 10.2. SEM defined a priori for our case study. The exogenous latent varia...Figure 10.3. Main steps in SEM analysis. The diagrams follow the SEM presentatio...Figure 10.4. Estimators of the parameters of the SEM in Figure 10.2. Section A: ...Figure 10.5. SEM resulting from correction of the model shown in Figure 10.2, af...Figure 10.6. Divergences between the correlation matrices of the latent variable...Figure 10.7. SEM resulting from correction of the model in Figure 10.5, limiting...Figure 10.8. Estimated relationships within the relational model of the SEM from...Figure 10.9. Test of causal relations in the relational model shown in Figure 10...
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