Heavy-tailedness and threshold sex determination

被引:7
作者
Ibragimov, Rustam [1 ]
机构
[1] Harvard Univ, Dept Econ, Littauer Ctr, Cambridge, MA 02138 USA
关键词
D O I
10.1016/j.spl.2008.03.029
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 [统计学]; 070103 [概率论与数理统计]; 0714 [统计学];
摘要
This paper studies the properties of the sex ratio in two-period models of threshold (e.g., polygenic or temperature-dependent) sex determination under heavy-tailedness in the framework of possibly skewed stable distributions and their convolutions. We show that if the initial distribution of the sex determining trait in Such settings is moderately heavy-tailed and has a finite first moment, then an excess of males (females) in the first period leads to the same pattern in the second period. Thus, the excess of one sex over the other one accumulates over two generations and the sex ratio ill the total alive population ill the second period cannot stabilize at the balanced sex ratio value of 1/2. These properties are reversed for extremely heavy-tailed initial distributions of sex determining traits with infinite first moments. Ill Such settings, the sex ratio of the offspring oscillates around the balanced sex ratio value and an excess of males (females) in the first period leads to an excess of females (males) in the second period. In addition, the sex ratio in the total living population in the second period can stabilize at 1/2 for some extremely heavy-tailed initial distributions of the sex determining trait. The results in the paper are shown to also hold for bounded sex determining phenotypes. (c) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:2804 / 2810
页数:7
相关论文
共 16 条
[1]
Logconcavity versus logconvexity: A complete characterization [J].
An, MY .
JOURNAL OF ECONOMIC THEORY, 1998, 80 (02) :350-369
[2]
BULL JJ, 1989, EVOLUTION, V43, P1561, DOI 10.1111/j.1558-5646.1989.tb02605.x
[3]
EVOLUTION OF ENVIRONMENTAL SEX DETERMINATION FROM GENOTYPIC SEX DETERMINATION [J].
BULL, JJ .
HEREDITY, 1981, 47 (OCT) :173-184
[4]
BULMER MG, 1982, EVOLUTION, V36, P13, DOI 10.1111/j.1558-5646.1982.tb05005.x
[5]
Son preference, sex ratios, and marriage patterns [J].
Edlund, L .
JOURNAL OF POLITICAL ECONOMY, 1999, 107 (06) :1275-1304
[6]
Grant VJ, 1996, HUM REPROD, V11, P2371
[7]
The limits of diversification when losses may be large [J].
Ibragimov, Rustam ;
Walden, Johan .
JOURNAL OF BANKING & FINANCE, 2007, 31 (08) :2551-2569
[8]
Efficiency of linear estimators under heavy-tailedness:: Convolutions of α-symmetric distributions [J].
Ibragimov, Rustam .
ECONOMETRIC THEORY, 2007, 23 (03) :501-517
[9]
Thou shalt not diversify: Why 'two of every sort'? [J].
Ibragimov, Rustam .
JOURNAL OF APPLIED PROBABILITY, 2007, 44 (01) :58-70