Abstract
Using Pontryagin's maximum principle, the optimal death strategy that maximizes the total reproduction of a population, which has the density dependent growth rate and the weight dependent reproduction, is investigated. As the result, it is shown that the optimal survival curve has a critical age, before which the mortality takes the highest admissible value and after which the lowest. In a population with this optimal death strategy, the change of resource level affects the length of the stage of high mortality. The switching age is explicitly calculated in a special case with a simple growth rate function and a simple weight dependence of reproduction. The average value of mortality or growth coefficient through the prereproductive stages are calculated and compared with the Le Cren's data, where trout was reared in varying resource levels.
| Original language | English |
|---|---|
| Pages (from-to) | 611-626 |
| Number of pages | 16 |
| Journal | Journal of Theoretical Biology |
| Volume | 72 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Jun 20 1978 |
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All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Medicine(all)
- Modelling and Simulation
- Biochemistry, Genetics and Molecular Biology(all)
- Immunology and Microbiology(all)
- Agricultural and Biological Sciences(all)
- Applied Mathematics
Cite this
Optimal death strategy of animal populations. / Iwasa, Yoh.
In: Journal of Theoretical Biology, Vol. 72, No. 4, 20.06.1978, p. 611-626.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Optimal death strategy of animal populations
AU - Iwasa, Yoh
PY - 1978/6/20
Y1 - 1978/6/20
N2 - Using Pontryagin's maximum principle, the optimal death strategy that maximizes the total reproduction of a population, which has the density dependent growth rate and the weight dependent reproduction, is investigated. As the result, it is shown that the optimal survival curve has a critical age, before which the mortality takes the highest admissible value and after which the lowest. In a population with this optimal death strategy, the change of resource level affects the length of the stage of high mortality. The switching age is explicitly calculated in a special case with a simple growth rate function and a simple weight dependence of reproduction. The average value of mortality or growth coefficient through the prereproductive stages are calculated and compared with the Le Cren's data, where trout was reared in varying resource levels.
AB - Using Pontryagin's maximum principle, the optimal death strategy that maximizes the total reproduction of a population, which has the density dependent growth rate and the weight dependent reproduction, is investigated. As the result, it is shown that the optimal survival curve has a critical age, before which the mortality takes the highest admissible value and after which the lowest. In a population with this optimal death strategy, the change of resource level affects the length of the stage of high mortality. The switching age is explicitly calculated in a special case with a simple growth rate function and a simple weight dependence of reproduction. The average value of mortality or growth coefficient through the prereproductive stages are calculated and compared with the Le Cren's data, where trout was reared in varying resource levels.
UR - http://www.scopus.com/inward/record.url?scp=0017857524&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0017857524&partnerID=8YFLogxK
U2 - 10.1016/0022-5193(78)90275-8
DO - 10.1016/0022-5193(78)90275-8
M3 - Article
VL - 72
SP - 611
EP - 626
JO - Journal of Theoretical Biology
JF - Journal of Theoretical Biology
SN - 0022-5193
IS - 4
ER -