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84  INTRODUCTION TO PALEOBIOLOGY AND THE FOSSIL RECORD







                       Frequency                   Frequency                          Frequency









                           Size of individuals (age units)  Size of individuals (age units)  Size of individuals (age units)
                      (a)                        (b)                                 (c)







                       Frequency                             Frequency








                                Size of individuals (age units)      Size of individuals (age units)
                      (d)                                   (e)
                      Figure 4.4  Schematic size–frequency histograms: (a) right (positively) skewed, typical of many
                      invertebrate populations with high infant mortality; (b) normal (Gaussian) distribution, typical of
                      steady-state or transported assemblages; (c) left (negatively) skewed, typical of high senile mortality; (d)
                      multimodal distribution, typical of populations with seasonal spawning patterns; and (e) multimodal
                      distribution, with decreasing amplitude, typical of populations growing by molting (ecdysis).




                                                          type I      where K is the carrying capacity of the popu-
                                                                      lation or upper limit of population size, N is
                       Logarithmic numbers of survivors               of time.
                                                                      the actual population size,  r is the intrinsic
                                                                      rate of population increase and t is the unit
                                              type ΙΙ
                                                                        Thus, when  N approaches  K the rate of
                                                                      population growth slows right down and the
                                                                      population will approach a stable equilib-


                                                                      stable environments dominated by  equilib-
                                                                      rium species (K strategists). By contrast oppor-
                             type ΙΙΙ                                 rium. Such populations are typical of more
                                                                      tunistic species thrive in more adverse,
                                                                      unstable environments, where high growth
                                                                      rates are common (r strategists).
                                    Size of individuals (age units)
                      Figure 4.5  Schematic survivorship curves: type I   Habitats and niches: addresses and occupations
                      tracks, increasing mortality with age; type II,
                      constant mortality with age; type III, decreasing   All modern and fossil organisms can be clas-

                      mortality with age.                             sified in terms of their habitat, where they live
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