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International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol XXXV, Part B4. Istanbul 2004
These results might be indicative, in a most general sense, of
modeling inverse relationships: from SW to WAP2.
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Figure 5. Prediction from duality relationships: Regression
graphs (all R2 > 0.95) between Shannon and Weiner
Information Index (SW) for 15% density and four Weighted
Area-Perimeter Index (WAP2) obtained at three densities: 90%
(squares), 85% (triangles) and 80% (circles). Note: WAP2
indices are multiplied by k=10,000.
The simulation and the prediction/reconstruction of SW from
WAP2 were based on the assumption that the adhesiveness
would not change significantly during the process. Such an
assumption would not hold in many instances: for example,
where there would be species change or where habitat
conditions (carrying capacity) would deteriorate. In these cases
the fragmentation or shape evolution would not follow the
trajectories predicted by the simulation as conducted here.
However, the results presented here suggest that both at the
beginning and end of the fragmentation process there is high
sensitivity to the adhesiveness, which may allow detection of its
change. Relating observed trajectories to simulated trajectories
may then infer the change in adhesiveness, which could be
related to structural changes in the ecosystem.
4. SUMMARY AND CONCLUSIONS
Both remote sensing data and patch pattern simulation
presented here, suggest duality between fragmentation and
shape changes in patch dynamics: the pattern changes seem to
be mutually and informationally complementary. Furthermore,
fragmentation and shape duality might indicate informational
and functional duality in patch pattern dynamics: where
fragmentation level characteristics affect the
disturbance/recovery mechanisms and vice versa. These two
levels of duality must be further assessed with real-world data
and other forms of simulation to reveal their modes of mutual
change. From a broad scientific perspective, the importance of
research into dualities is enhanced by the exponential growth of
the volume of information in diverse fields, calling for the
identification of generalizations, which go beyond specific
phenomenology.
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