@article{TUKEY:1984:ADAFSA,
   AUTHOR = {Tukey, Paul A. and Wachter, K.W.},
    TITLE = {A demographic analogy for shareowner accounts},
  JOURNAL = {Journal of the American Statistical Association},
   VOLUME = {79},
     YEAR = {1984},
    PAGES = {525--530},
      URL = {http://www.jstor.org/pss/2288399},
  EDNOTES = {<access>DOI and abstract could possibly be found via CIS or MR},
   }

        

@incollection{MERRIAM:1984:MAAOEH,
   AUTHOR = {Merriam, George R. and Wachter, K.W.},
    TITLE = {Measurement and analysis of episodic hormone secretion},
   EDITOR = {Rodbard, D.A. and Forti, G.},
BOOKTITLE = {Computers in Endocrinology},
     YEAR = {1984},
     ISBN = {0090043685, 9780090043682},
PUBLISHER = {Raven Press},
  ADDRESS = {New York, NY},
    PAGES = {325--346},
   }

        

@article{WACHTER:1984:LRUR:0568.92014,
   AUTHOR = {Wachter, K.W.},
    TITLE = {Lotka's roots under rescalings},
  JOURNAL = {Proceedings of the National Academy of Sciences},
     ISSN = {0027-8424},
   VOLUME = {81},
     YEAR = {1984},
    PAGES = {3600--3604},
ZBLABSTRACT = {In the notation of the paper Lotka's equation is the condition on a
             complex number $r$ imposed by the relationship $$
             1=\int\sp{a}\sb{b}\exp (- ra)(1/t)dM(a)=g(r)/t. $$ Here $M(a)$ is a
             nondecreasing bounded nonnegative function of age ($a$) vanishing
             at zero giving the number of daughters expected to be borne by a
             newborn future mother before reaching the age of a according to
             some standard fertility schedule. \par There turns out to be only
             one real root $r$, the intrinsic rate of natural increase. In the
             equation $t$ is a positive real constant rescaling the standard
             fertility schedule to have a different fertility level preserving
             the shape of the age pattern, $b$ is a positive real number, the
             maximum age at childbearing, and $g(r)$ denotes the value of the
             integral with $t=1$. This notation enables both the continuous age
             "Lotka" formulation and the discrete age ``Leslie'' formulation of
             population dynamics to be considered together. \par When the net
             maternity function is scaled by a constant divisor as above it
             changes its level without changing its shape. As a result, as the
             population converges toward stability the rates of attrition of
             transient waves in the age structure of the population are altered.
             The attrition rates are specified by the real parts of the complex
             roots of Lotka's equation. \par Conditions are given for the
             falsity of the longstanding claim that there always exists some
             rescaling that brings to zero the real part of the complex root
             governing the lowest frequency wave. A general account of scalable
             and unscalable roots follows for the discrete-age, Leslie
             formulation, elucidating and setting limits to the standard account
             of approach to stability.},
 ZBLCLASS = {92D25},
ZBLREVIEWER = {J.E.Keesling},
       ID = {info:zbl/0568.92014},
   }