Molecular Ecology Notes (2002) 2, 615 – 617 doi: 10.1046/j.1471-8278 .2002.00284.x
© 2002 Blackwell Science Ltd
Blackwell Science, Ltd
PROGRAM NOTE
managedpop: a computer simulation to project allelic
diversity in managed populations with overlapping
generations
KENNETH BIRNBAUM,* PHILIP N. BENFEY,*§ CHARLES M. PETERS† and ROB DESALLE‡
*New York University, 100 Washington Square East, 1009 Main Building, New York, NY 10003, †New York Botanical Garden,
Institute of Economic Botany, Bronx, New York, NY 10458, ‡American Museum of Natural History, Department of Entomology,
New York, NY 10024, USA
Abstract
We present a Monte Carlo simulation, MANAGEDPOP, to project the loss of allelic diversity in
a population with overlapping generations supported (or invaded) by a prodigious sub-
population. Input parameters allow the user to account for complex life histories and crit-
ical management practices, such as the frequency at which supportive breeding stocks are
replaced. The simulation could also be used to examine the threat of species or population
level extinction via hybridization. MANAGEDPOP merges theoretical formulations on the
effective size of supported populations and of populations with overlapping generations
using easily measured life history traits.
Keywords: allelic diversity, effective population size, genetic drift, introgression, supportive breed-
ing, simulation
Received 8 May 2002; revision received 2 July 2002; accepted 2 July 2002
Loss of genetic diversity places a population at greater risk
of extinction and, in domesticated species and their relatives,
the potential loss of economically valuable genetic traits is
increased. Small endangered populations are often aug-
mented with the progeny of a captive population. Analo-
gously, altered landscapes can create high gene flow from
genetically uniform populations into wild populations, such
as between domesticated crops and their wild relatives. In
both cases, gene flow into the population of interest has the
potential to alter the effective population size, with
important consequences on genetic drift and neutral allelic
diversity. Ryman et al. (1995) provided a method with
which to estimate the variance effective population size,
and by extension the random genetic drift, given the size
and relative breeding contributions of a ‘captive’ and a
‘wild’ population. The formula for inbreeding effective
size, which is equivalent to variance effective size when
population size is stable, is shown here for simplicity:
1/N
e
= x
2
/N
c
+ (1 - x)
2
/N
w
where N
c
and N
w
are the effective numbers of parents in the
captive and wild portions of the populations, respectively,
and x and (1–x) are the relative offspring contribution
of the captive and wild populations, respectively. The
formula illustrates the conservation problem: as x increases,
the value of N
e
decreases and the size of the captive popu-
lation, which is typically small, increasingly determines
the size of the overall population as it affects genetic drift.
In theory, the formula could be used on populations with
overlapping generations by calculating effective popu-
lation size for each subpopulation using analyses such
as Hill’s (1972):
N
e(e.g. c or w)
= 4N
a
L/(2 + σ
a
2
)
where N
e
is the effective population size of an equivalent
population with discrete generation intervals, N
a
is the
number of adults entering the population each generation,
σ
a
2
is the variance in the number of adult progeny per adult
individual, and L is the generation interval. One problem is
that L and σ
a
are not easily estimated parameters in real popu-
lations with mixed breeding systems and other complex
life history traits (Orive 1992; Nunney & Elam 1994; Rockwell
& Barrowclough 1995). Several existing programs avoid
Correspondence: R. De Salle. Fax: 212 769 5277; E-mail:
desalle@amnh.org. §Present address: Duke University, Depart-
ment of Biology, Box 90338, Durham, NC 27708, USA.