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Personal bibliography of
Kenneth Willcox Wachter
[ CalNetDS
- MGP
- MathScinet
]
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Found 5 works with YEAR equal to " 1994"
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David A. Freedman and K.W. Wachter
Heterogeneity and census adjustment for the intercensal base
Statistical Science 9, 476--485 (1994).
[GScholar?]
[DOI]
[BibTeX]
Abstract: Current techniques for census adjustment involve the ``synthetic assumption'' that undercount rates are constant within ``post- strata'' across geographical areas. A poststratum is a subgroup of people with given demographic characteristics; poststrata are chosen to minimize heterogeneity in undercount rates. This paper will use 1990 census data to assess the synthetic assumption. We find that heterogeneity within poststrata is quite large, with a corresponding impact on local undercount rates estimated by the synthetic method. Thus, any comparison of error rates between the census and adjusted counts should take heterogeneity into account.
@article{FREEDMAN:1994:HACAFT,
AUTHOR = {Freedman, David A. and Wachter, K.W.},
TITLE = {Heterogeneity and census adjustment for the intercensal base},
JOURNAL = {Statistical Science},
VOLUME = {9},
YEAR = {1994},
PAGES = {476--485},
ID = {info:doi/10.1214/ss/1177010260},
ABSTRACT = {Current techniques for census adjustment involve the ``synthetic
assumption'' that undercount rates are constant within ``post-
strata'' across geographical areas. A poststratum is a subgroup of
people with given demographic characteristics; poststrata are
chosen to minimize heterogeneity in undercount rates. This paper
will use 1990 census data to assess the synthetic assumption. We
find that heterogeneity within poststrata is quite large, with a
corresponding impact on local undercount rates estimated by the
synthetic method. Thus, any comparison of error rates between the
census and adjusted counts should take heterogeneity into account.},
}
-
K.W. Wachter
The cohort feedback model with symmetric net maternity
Mathematical Population Studies 5, 25--44 (1994).
[GScholar?]
[ZM]
[BibTeX]
Abstract: Demographic cohort feedback models were introduced by {\it R. D. Lee} [Demography 11, 563-585 (1974)]. In these nonlinear models, a cohort's net reproduction ratio responds inversely to cohort size at birth, while the shape of the net maternity function remains constant. For certain response strengths such a model leads to sustained cycles in the trajectory of births.\par Suppose that the net maternity function is symmetric under reflection around some mean age of childbearing. I prove that the model then has cyclic solutions with period exactly equal to twice the mean age of childbearing not merely in a neighborhood of equilibrium but for a range of parameter values which is unbounded in a certain suitable sense. Sobolev space methods are introduced for the theorem's proof. This ``global'' bifurcation theorem for the cohort feedback model with symmetric net maternity provides a benchmark case for understanding the characteristics of nonlinear population waves of realistic size.
@article{WACHTER:1994:TCFMWS:0873.92037,
AUTHOR = {Wachter, K.W.},
TITLE = {The cohort feedback model with symmetric net maternity},
JOURNAL = {Mathematical Population Studies},
ISSN = {0889-8480},
VOLUME = {5},
YEAR = {1994},
PAGES = {25--44},
ZBLABSTRACT = {Demographic cohort feedback models were introduced by {\it R. D.
Lee} [Demography 11, 563-585 (1974)]. In these nonlinear models, a
cohort's net reproduction ratio responds inversely to cohort size
at birth, while the shape of the net maternity function remains
constant. For certain response strengths such a model leads to
sustained cycles in the trajectory of births.\par Suppose that the
net maternity function is symmetric under reflection around some
mean age of childbearing. I prove that the model then has cyclic
solutions with period exactly equal to twice the mean age of
childbearing not merely in a neighborhood of equilibrium but for a
range of parameter values which is unbounded in a certain suitable
sense. Sobolev space methods are introduced for the theorem's
proof. This ``global'' bifurcation theorem for the cohort feedback
model with symmetric net maternity provides a benchmark case for
understanding the characteristics of nonlinear population waves of
realistic size.},
ZBLCLASS = {91D20;92D25},
ID = {info:zbl/0873.92037},
}
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Shripad Tuljapurkar, Carl Boe and Kenneth W. Wachter
Nonlinear feedback dynamics in fisheries: Analysis of the Deriso−Schnute model
Canadian Journal of Fisheries and Aquatic Sciences 51, 1462--1473 (1994).
[GScholar?]
[DOI]
[BibTeX]
Abstract: Fishery models of the Deriso--Schnute form are based on the dynamics of an age-structured population, together with a nonlinear stock-recruitment relationship. Cyclical dynamics are commonly observed in fisheries and have been attributed to feedback between stock and recruitment. In this paper, we do four things. First, we present analytical results on sustained oscillations driven by nonlinear recruitment. These results show explicitly how density dependence near equilibrium determines the character of sustained population oscillations. Second, we briefly characterize the dynamics of the Deriso--Schnute model when the density-dependent response becomes very strong. We find that the Deriso--Schnute model displays sustained, complex (probably chaotic) variability of large magnitude, but only typically when reproduction is concentrated at very few ages. Third, we dissect the nature of density dependence in recruitment, contrasting a ``local'' view that uses information about response to small variations in stock with a ``global'' view that uses a function such as Schnute's over the entire range of stock levels. Finally, we argue that the global approach leads to practical and theoretical difficulties and that a local view may be more biologically realistic.
@article{TULJAPURKAR:1994:NFDIFA,
AUTHOR = {Tuljapurkar, Shripad and Boe, Carl and Wachter, Kenneth W.},
TITLE = {Nonlinear feedback dynamics in fisheries: Analysis of the
{D}eriso--{S}chnute model},
JOURNAL = {Canadian Journal of Fisheries and Aquatic Sciences},
VOLUME = {51},
YEAR = {1994},
PAGES = {1462--1473},
ABSTRACT = {Fishery models of the Deriso--Schnute form are based on the
dynamics of an age-structured population, together with a nonlinear
stock-recruitment relationship. Cyclical dynamics are commonly
observed in fisheries and have been attributed to feedback between
stock and recruitment. In this paper, we do four things. First, we
present analytical results on sustained oscillations driven by
nonlinear recruitment. These results show explicitly how density
dependence near equilibrium determines the character of sustained
population oscillations. Second, we briefly characterize the
dynamics of the Deriso--Schnute model when the density-dependent
response becomes very strong. We find that the Deriso--Schnute
model displays sustained, complex (probably chaotic) variability of
large magnitude, but only typically when reproduction is
concentrated at very few ages. Third, we dissect the nature of
density dependence in recruitment, contrasting a ``local'' view
that uses information about response to small variations in stock
with a ``global'' view that uses a function such as Schnute's over
the entire range of stock levels. Finally, we argue that the global
approach leads to practical and theoretical difficulties and that a
local view may be more biologically realistic.},
ID = {info:doi/10.1139/f94-146},
}
-
George R. Merriam and Kenneth W. Wachter
Analysis of the temporal coincidence of hormonal pulses
In Pulsatility in Neuroendocrine Systems (Jon E. Levine, editor), 326--335, Academic Press. San Diego, CA (1994).
[GScholar?]
[BibTeX]
[Editorial notes]
@incollection{MERRIAM:1994:AOTTCO,
AUTHOR = {Merriam, George R. and Wachter, Kenneth W.},
TITLE = {Analysis of the temporal coincidence of hormonal pulses},
EDITOR = {Levine, Jon E.},
BOOKTITLE = {Pulsatility in Neuroendocrine Systems},
ISBN = {012185289X,9780121852894},
YEAR = {1994},
PUBLISHER = {Academic Press},
ADDRESS = {San Diego, CA},
PAGES = {326--335},
EDNOTES = {<version1>According to one online ref, this was also published in
"Methods Neurosci 1994; 20:326--335", though it is unclear which
journal that is - couldn't corroborate.},
}
<version1>According to one online ref, this was also published in "Methods Neurosci 1994; 20:326--335", though it is unclear which journal that is - couldn't corroborate.
-
David A. Freedman, K.W. Wachter, R. Cutler and S. Klein
Adjusting the census of 1990: Loss Functions
Evaluation Review 18, 243--280 (1994).
[GScholar?]
[DOI]
[BibTeX]
[Editorial notes]
Abstract: Considering the difficulties, the Census Bureau does a remarkably good job at counting people. This article discusses techniques for adjusting the census. If there is a large undercount, these techniques may be accurate enough for adjustment. With a small undercount, adjustment could easily degrade the accuracy of the data. The Bureau argued that errors in the census were more serious than errors in the proposed adjustment, using ``loss function analysis'' to balance the risks. This procedure turns out to depend on quite unreasonable assumptions. With other and more realistic assumptions, the balance favors the census. The story has a broader moral. Statistical models are often defended on grounds of robustness. However, internally generated measures of precision may be critical. If the model is at all complicated, these measures of precision may turn out to be driven by assumptions not data---the antithesis of robustness.
@article{FREEDMAN:1994:ATCOLF,
AUTHOR = {Freedman, David A. and Wachter, K.W. and Cutler, R. and Klein, S.},
TITLE = {Adjusting the census of 1990: Loss Functions},
JOURNAL = {Evaluation Review},
VOLUME = {18},
YEAR = {1994},
PAGES = {243--280},
ID = {info:doi/10.1177/0193841X9401800301},
ABSTRACT = {Considering the difficulties, the Census Bureau does a remarkably
good job at counting people. This article discusses techniques for
adjusting the census. If there is a large undercount, these
techniques may be accurate enough for adjustment. With a small
undercount, adjustment could easily degrade the accuracy of the
data. The Bureau argued that errors in the census were more serious
than errors in the proposed adjustment, using ``loss function
analysis'' to balance the risks. This procedure turns out to depend
on quite unreasonable assumptions. With other and more realistic
assumptions, the balance favors the census. The story has a broader
moral. Statistical models are often defended on grounds of
robustness. However, internally generated measures of precision may
be critical. If the model is at all complicated, these measures of
precision may turn out to be driven by assumptions not data---the
antithesis of robustness.},
EDNOTES = {<contact>http://erx.sagepub.com/cgi/content/abstract/18/3/243 gives
subtitle as one of the authors},
}
<contact>http://erx.sagepub.com/cgi/content/abstract/18/3/243 gives subtitle as one of the authors
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