Difference between revisions of "1D-morphospace"

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<font size="3">One-dimensional morphospace can be treated as a traverse through the three-dimensional morphospace of all possible morphologies.  
 
<font size="3">One-dimensional morphospace can be treated as a traverse through the three-dimensional morphospace of all possible morphologies.  
  
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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 ( )i 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):
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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 (DeltaFi, 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 (DeltaFi varies from  to  ),  
 
: - biserial forms (DeltaFi varies from  to  ),  
 
: - mixed forms (DeltaFi from  to  ),  
 
: - mixed forms (DeltaFi from  to  ),  
 
: - trochospiral forms (DeltaFi from  to  ),  
 
: - trochospiral forms (DeltaFi from  to  ),  
 
: - uniserial forms (DeltaFi from ... to ...).  
 
: - uniserial forms (DeltaFi from ... to ...).  
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These four areas are separated by three phase transitions (the term introduced in the context of morphospaces by M. Paszkowski, 2003, personal communication): (i) from biserial to mixed forms; (ii) from mixed to trochospiral forms; and (iii) from trochospiral to uniserial forms. The first two (i & ii) transitions are abrupt because the morphology rapidly changes its patterns. The last transition (iii) 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]])
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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 DeltaFi-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 DeltaFi-parameter (after [[REFERENCES|Tyszka & Topa, 2005]], modified)]]</font size>

Revision as of 15:34, 2 March 2006