Difference between revisions of "1D-morphospace"
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In order to understand general behavior in morphospace, it is best to focus on a deterministic model based on non-random parameters. It seems clear that simulated shell morphology is very sensitive to changes of the deviation angle (Δφ, deflection angle) parameter. Therefore, discrete steps of ( )i from to have been chosen to test the response of morphotypes to different values of this parameter. Two other two parameters are set constant (i.e. ; ) for all simulated forms and for all time steps. The resulting variability of shell patterns reveals four areas (phases) of characteristic morphologies (see Fig. below after [[REFERENCES|Topa & Tyszka, 2005]] - fig. 12): | In order to understand general behavior in morphospace, it is best to focus on a deterministic model based on non-random parameters. It seems clear that simulated shell morphology is very sensitive to changes of the deviation angle (Δφ, deflection angle) parameter. Therefore, discrete steps of ( )i from to have been chosen to test the response of morphotypes to different values of this parameter. Two other two parameters are set constant (i.e. ; ) for all simulated forms and for all time steps. The resulting variability of shell patterns reveals four areas (phases) of characteristic morphologies (see Fig. below after [[REFERENCES|Topa & Tyszka, 2005]] - fig. 12): | ||
| − | : - biserial forms (Δφ varies from 0 to 38.844 | + | : - biserial forms (Δφ varies from 0° to 38.844°), |
| − | : - mixed forms (Δφ from 38.862 to 54.324°), | + | : - mixed forms (Δφ from 38.862° to 54.324°), |
| − | : - trochospiral forms (Δφ from 54.342 to 158.814), | + | : - trochospiral forms (Δφ from 54.342° to 158.814°), |
| − | : - uniserial forms (Δφ from 158.815 to 180). | + | : - uniserial forms (Δφ from 158.815° to 180°). |
These four areas are separated by three phase transitions (the term introduced in the context of morphospaces by M. Paszkowski, 2003, personal communication): (a) from biserial to mixed forms; (b) from mixed to trochospiral forms; and (c) from trochospiral to uniserial forms. The first two (a & b) transitions are abrupt because the morphology rapidly changes its patterns. The last transition (c) is gradual from strictly trochospiral, through to coiled uniserial forms, to uniserial forms. It is important to note that shells with for all i reveal a tendency towards development of an areal aperture, in contrast to the basal aperture generated at smaller values (after [[REFERENCES|Topa & Tyszka, 2005]]) | These four areas are separated by three phase transitions (the term introduced in the context of morphospaces by M. Paszkowski, 2003, personal communication): (a) from biserial to mixed forms; (b) from mixed to trochospiral forms; and (c) from trochospiral to uniserial forms. The first two (a & b) transitions are abrupt because the morphology rapidly changes its patterns. The last transition (c) is gradual from strictly trochospiral, through to coiled uniserial forms, to uniserial forms. It is important to note that shells with for all i reveal a tendency towards development of an areal aperture, in contrast to the basal aperture generated at smaller values (after [[REFERENCES|Topa & Tyszka, 2005]]) | ||
[[Image:1Dmorphospace1b.jpg|thumb|left|900px| <font size="2">1D-morphospace with constant parameters: GF=1.1; TF=0.4; and changing Δφ-parameter (after [[REFERENCES|Tyszka & Topa, 2005]], modified)]]</font size> | [[Image:1Dmorphospace1b.jpg|thumb|left|900px| <font size="2">1D-morphospace with constant parameters: GF=1.1; TF=0.4; and changing Δφ-parameter (after [[REFERENCES|Tyszka & Topa, 2005]], modified)]]</font size> | ||
