On random conformity bias in cultural transmission of polychotomous traits
Theor Popul Biol. 2023 Dec 22:S0040-5809(23)00082-5. doi: 10.1016/j.tpb.2023.12.003. Online ahead of print.ABSTRACTMathematical models of conformity and anti-conformity have commonly included a set of simplifying assumptions. For example, (1) there are m=2 cultural variants in the population, (2) naive individuals observe the cultural variants of n=3 adult "role models," and (3) individuals' levels of conformity or anti-conformity do not change over time. Three recent theoretical papers have shown that departures from each of these assumptions can produce new population dynamics. Here, we explore cases in which multiple, o...
Source: Theoretical Population Biology - December 24, 2023 Category: Biology Authors: Kaleda K Denton Uri Liberman Marcus W Feldman Source Type: research
On random conformity bias in cultural transmission of polychotomous traits
Theor Popul Biol. 2023 Dec 22:S0040-5809(23)00082-5. doi: 10.1016/j.tpb.2023.12.003. Online ahead of print.ABSTRACTMathematical models of conformity and anti-conformity have commonly included a set of simplifying assumptions. For example, (1) there are m=2 cultural variants in the population, (2) naive individuals observe the cultural variants of n=3 adult "role models," and (3) individuals' levels of conformity or anti-conformity do not change over time. Three recent theoretical papers have shown that departures from each of these assumptions can produce new population dynamics. Here, we explore cases in which multiple, o...
Source: Theoretical Population Biology - December 24, 2023 Category: Biology Authors: Kaleda K Denton Uri Liberman Marcus W Feldman Source Type: research
On random conformity bias in cultural transmission of polychotomous traits
Theor Popul Biol. 2023 Dec 22:S0040-5809(23)00082-5. doi: 10.1016/j.tpb.2023.12.003. Online ahead of print.ABSTRACTMathematical models of conformity and anti-conformity have commonly included a set of simplifying assumptions. For example, (1) there are m=2 cultural variants in the population, (2) naive individuals observe the cultural variants of n=3 adult "role models," and (3) individuals' levels of conformity or anti-conformity do not change over time. Three recent theoretical papers have shown that departures from each of these assumptions can produce new population dynamics. Here, we explore cases in which multiple, o...
Source: Theoretical Population Biology - December 24, 2023 Category: Biology Authors: Kaleda K Denton Uri Liberman Marcus W Feldman Source Type: research
On random conformity bias in cultural transmission of polychotomous traits
Theor Popul Biol. 2023 Dec 22:S0040-5809(23)00082-5. doi: 10.1016/j.tpb.2023.12.003. Online ahead of print.ABSTRACTMathematical models of conformity and anti-conformity have commonly included a set of simplifying assumptions. For example, (1) there are m=2 cultural variants in the population, (2) naive individuals observe the cultural variants of n=3 adult "role models," and (3) individuals' levels of conformity or anti-conformity do not change over time. Three recent theoretical papers have shown that departures from each of these assumptions can produce new population dynamics. Here, we explore cases in which multiple, o...
Source: Theoretical Population Biology - December 24, 2023 Category: Biology Authors: Kaleda K Denton Uri Liberman Marcus W Feldman Source Type: research
On random conformity bias in cultural transmission of polychotomous traits
Theor Popul Biol. 2023 Dec 22:S0040-5809(23)00082-5. doi: 10.1016/j.tpb.2023.12.003. Online ahead of print.ABSTRACTMathematical models of conformity and anti-conformity have commonly included a set of simplifying assumptions. For example, (1) there are m=2 cultural variants in the population, (2) naive individuals observe the cultural variants of n=3 adult "role models," and (3) individuals' levels of conformity or anti-conformity do not change over time. Three recent theoretical papers have shown that departures from each of these assumptions can produce new population dynamics. Here, we explore cases in which multiple, o...
Source: Theoretical Population Biology - December 24, 2023 Category: Biology Authors: Kaleda K Denton Uri Liberman Marcus W Feldman Source Type: research
On random conformity bias in cultural transmission of polychotomous traits
Theor Popul Biol. 2023 Dec 22:S0040-5809(23)00082-5. doi: 10.1016/j.tpb.2023.12.003. Online ahead of print.ABSTRACTMathematical models of conformity and anti-conformity have commonly included a set of simplifying assumptions. For example, (1) there are m=2 cultural variants in the population, (2) naive individuals observe the cultural variants of n=3 adult "role models," and (3) individuals' levels of conformity or anti-conformity do not change over time. Three recent theoretical papers have shown that departures from each of these assumptions can produce new population dynamics. Here, we explore cases in which multiple, o...
Source: Theoretical Population Biology - December 24, 2023 Category: Biology Authors: Kaleda K Denton Uri Liberman Marcus W Feldman Source Type: research
On random conformity bias in cultural transmission of polychotomous traits
Theor Popul Biol. 2023 Dec 22:S0040-5809(23)00082-5. doi: 10.1016/j.tpb.2023.12.003. Online ahead of print.ABSTRACTMathematical models of conformity and anti-conformity have commonly included a set of simplifying assumptions. For example, (1) there are m=2 cultural variants in the population, (2) naive individuals observe the cultural variants of n=3 adult "role models," and (3) individuals' levels of conformity or anti-conformity do not change over time. Three recent theoretical papers have shown that departures from each of these assumptions can produce new population dynamics. Here, we explore cases in which multiple, o...
Source: Theoretical Population Biology - December 24, 2023 Category: Biology Authors: Kaleda K Denton Uri Liberman Marcus W Feldman Source Type: research
The optimal momentum of population growth and decline
Theor Popul Biol. 2023 Dec 19;155:51-66. doi: 10.1016/j.tpb.2023.12.002. Online ahead of print.ABSTRACTAbout 50 years ago, Keyfitz (1971) asked how much further a growing human population would increase if its fertility rate were immediately to be reduced to replacement level and remain there forever. The reason for demographic momentum is an age-structure inertia due to relatively many potential parents because of past high fertility. Although nobody expects such a miraculous reduction in reproductive behavior, a gradual decline in fertility in rapidly growing populations seems inevitable. As any delay in fertility declin...
Source: Theoretical Population Biology - December 21, 2023 Category: Biology Authors: Gustav Feichtinger Stefan Wrzaczek Source Type: research
The optimal momentum of population growth and decline
Theor Popul Biol. 2023 Dec 19;155:51-66. doi: 10.1016/j.tpb.2023.12.002. Online ahead of print.ABSTRACTAbout 50 years ago, Keyfitz (1971) asked how much further a growing human population would increase if its fertility rate were immediately to be reduced to replacement level and remain there forever. The reason for demographic momentum is an age-structure inertia due to relatively many potential parents because of past high fertility. Although nobody expects such a miraculous reduction in reproductive behavior, a gradual decline in fertility in rapidly growing populations seems inevitable. As any delay in fertility declin...
Source: Theoretical Population Biology - December 21, 2023 Category: Biology Authors: Gustav Feichtinger Stefan Wrzaczek Source Type: research
The optimal momentum of population growth and decline
Theor Popul Biol. 2023 Dec 19:S0040-5809(23)00081-3. doi: 10.1016/j.tpb.2023.12.002. Online ahead of print.ABSTRACTAbout 50 years ago, Keyfitz (1971) asked how much further a growing human population would increase if its fertility rate were immediately to be reduced to replacement level and remain there forever. The reason for demographic momentum is an age-structure inertia due to relatively many potential parents because of past high fertility. Although nobody expects such a miraculous reduction in reproductive behavior, a gradual decline in fertility in rapidly growing populations seems inevitable. As any delay in fert...
Source: Theoretical Population Biology - December 21, 2023 Category: Biology Authors: Gustav Feichtinger Stefan Wrzaczek Source Type: research
Coalescence and sampling distributions for Feller diffusions
Theor Popul Biol. 2023 Dec 11:S0040-5809(23)00076-X. doi: 10.1016/j.tpb.2023.12.001. Online ahead of print.ABSTRACTConsider the diffusion process defined by the forward equation ut(t,x)=12{xu(t,x)}xx-α{xu(t,x)}x for t,x≥0 and -∞<α<∞, with an initial condition u(0,x)=δ(x-x0). This equation was introduced and solved by Feller to model the growth of a population of independently reproducing individuals. We explore important coalescent processes related to Feller's solution. For any α and x0>0 we calculate the distribution of the random variable An(s;t), defined as the finite number of ancestors at a time s ...
Source: Theoretical Population Biology - December 13, 2023 Category: Biology Authors: Conrad J Burden Robert C Griffiths Source Type: research
Coalescence and sampling distributions for Feller diffusions
Theor Popul Biol. 2023 Dec 11:S0040-5809(23)00076-X. doi: 10.1016/j.tpb.2023.12.001. Online ahead of print.ABSTRACTConsider the diffusion process defined by the forward equation ut(t,x)=12{xu(t,x)}xx-α{xu(t,x)}x for t,x≥0 and -∞<α<∞, with an initial condition u(0,x)=δ(x-x0). This equation was introduced and solved by Feller to model the growth of a population of independently reproducing individuals. We explore important coalescent processes related to Feller's solution. For any α and x0>0 we calculate the distribution of the random variable An(s;t), defined as the finite number of ancestors at a time s ...
Source: Theoretical Population Biology - December 13, 2023 Category: Biology Authors: Conrad J Burden Robert C Griffiths Source Type: research
Coalescence and sampling distributions for Feller diffusions
Theor Popul Biol. 2023 Dec 11:S0040-5809(23)00076-X. doi: 10.1016/j.tpb.2023.12.001. Online ahead of print.ABSTRACTConsider the diffusion process defined by the forward equation ut(t,x)=12{xu(t,x)}xx-α{xu(t,x)}x for t,x≥0 and -∞<α<∞, with an initial condition u(0,x)=δ(x-x0). This equation was introduced and solved by Feller to model the growth of a population of independently reproducing individuals. We explore important coalescent processes related to Feller's solution. For any α and x0>0 we calculate the distribution of the random variable An(s;t), defined as the finite number of ancestors at a time s ...
Source: Theoretical Population Biology - December 13, 2023 Category: Biology Authors: Conrad J Burden Robert C Griffiths Source Type: research
Coalescence and sampling distributions for Feller diffusions
Theor Popul Biol. 2023 Dec 11:S0040-5809(23)00076-X. doi: 10.1016/j.tpb.2023.12.001. Online ahead of print.ABSTRACTConsider the diffusion process defined by the forward equation ut(t,x)=12{xu(t,x)}xx-α{xu(t,x)}x for t,x≥0 and -∞<α<∞, with an initial condition u(0,x)=δ(x-x0). This equation was introduced and solved by Feller to model the growth of a population of independently reproducing individuals. We explore important coalescent processes related to Feller's solution. For any α and x0>0 we calculate the distribution of the random variable An(s;t), defined as the finite number of ancestors at a time s ...
Source: Theoretical Population Biology - December 13, 2023 Category: Biology Authors: Conrad J Burden Robert C Griffiths Source Type: research
Coalescence and sampling distributions for Feller diffusions
Theor Popul Biol. 2023 Dec 11:S0040-5809(23)00076-X. doi: 10.1016/j.tpb.2023.12.001. Online ahead of print.ABSTRACTConsider the diffusion process defined by the forward equation ut(t,x)=12{xu(t,x)}xx-α{xu(t,x)}x for t,x≥0 and -∞<α<∞, with an initial condition u(0,x)=δ(x-x0). This equation was introduced and solved by Feller to model the growth of a population of independently reproducing individuals. We explore important coalescent processes related to Feller's solution. For any α and x0>0 we calculate the distribution of the random variable An(s;t), defined as the finite number of ancestors at a time s ...
Source: Theoretical Population Biology - December 13, 2023 Category: Biology Authors: Conrad J Burden Robert C Griffiths Source Type: research
