The shirker's dilemma and the prospect of cooperation in large groups
Theor Popul Biol. 2023 Nov 23;155:10-23. doi: 10.1016/j.tpb.2023.11.001. Online ahead of print.ABSTRACTCooperation usually becomes harder to sustain as groups become larger because incentives to shirk increase with the number of potential contributors to collective action. But is this always the case? Here we study a binary-action cooperative dilemma where a public good is provided as long as not more than a given number of players shirk from a costly cooperative task. We find that at the stable polymorphic equilibrium, which exists when the cost of cooperation is low enough, the probability of cooperating increases with g...
Source: Theoretical Population Biology - November 24, 2023 Category: Biology Authors: Jorge Pe ña Aviad Heifetz Georg N öldeke Source Type: research
Exact confidence intervals for population growth rate, longevity and generation time
This study introduces the first mathematical expression for calculating confidence intervals for the aforementioned life history traits when individuals are unidentifiable and data are presented as a life table. The key finding is the accurate estimation of the confidence interval for r, the instantaneous growth rate, which is tested using Monte Carlo simulations with four arbitrary discrete distributions. In comparison to the bootstrap method, the proposed interval construction method proves more efficient, particularly for experiments with a total offspring size below 400. We discuss handling cases where data are organiz...
Source: Theoretical Population Biology - November 24, 2023 Category: Biology Authors: Carlos Hernandez-Suarez Jorge Rabinovich Source Type: research
The shirker's dilemma and the prospect of cooperation in large groups
Theor Popul Biol. 2023 Nov 23;155:10-23. doi: 10.1016/j.tpb.2023.11.001. Online ahead of print.ABSTRACTCooperation usually becomes harder to sustain as groups become larger because incentives to shirk increase with the number of potential contributors to collective action. But is this always the case? Here we study a binary-action cooperative dilemma where a public good is provided as long as not more than a given number of players shirk from a costly cooperative task. We find that at the stable polymorphic equilibrium, which exists when the cost of cooperation is low enough, the probability of cooperating increases with g...
Source: Theoretical Population Biology - November 24, 2023 Category: Biology Authors: Jorge Pe ña Aviad Heifetz Georg N öldeke Source Type: research
Exact confidence intervals for population growth rate, longevity and generation time
This study introduces the first mathematical expression for calculating confidence intervals for the aforementioned life history traits when individuals are unidentifiable and data are presented as a life table. The key finding is the accurate estimation of the confidence interval for r, the instantaneous growth rate, which is tested using Monte Carlo simulations with four arbitrary discrete distributions. In comparison to the bootstrap method, the proposed interval construction method proves more efficient, particularly for experiments with a total offspring size below 400. We discuss handling cases where data are organiz...
Source: Theoretical Population Biology - November 24, 2023 Category: Biology Authors: Carlos Hernandez-Suarez Jorge Rabinovich Source Type: research
The shirker's dilemma and the prospect of cooperation in large groups
Theor Popul Biol. 2023 Nov 23;155:10-23. doi: 10.1016/j.tpb.2023.11.001. Online ahead of print.ABSTRACTCooperation usually becomes harder to sustain as groups become larger because incentives to shirk increase with the number of potential contributors to collective action. But is this always the case? Here we study a binary-action cooperative dilemma where a public good is provided as long as not more than a given number of players shirk from a costly cooperative task. We find that at the stable polymorphic equilibrium, which exists when the cost of cooperation is low enough, the probability of cooperating increases with g...
Source: Theoretical Population Biology - November 24, 2023 Category: Biology Authors: Jorge Pe ña Aviad Heifetz Georg N öldeke Source Type: research
Exact confidence intervals for population growth rate, longevity and generation time
This study introduces the first mathematical expression for calculating confidence intervals for the aforementioned life history traits when individuals are unidentifiable and data are presented as a life table. The key finding is the accurate estimation of the confidence interval for r, the instantaneous growth rate, which is tested using Monte Carlo simulations with four arbitrary discrete distributions. In comparison to the bootstrap method, the proposed interval construction method proves more efficient, particularly for experiments with a total offspring size below 400. We discuss handling cases where data are organiz...
Source: Theoretical Population Biology - November 24, 2023 Category: Biology Authors: Carlos Hernandez-Suarez Jorge Rabinovich Source Type: research
The shirker's dilemma and the prospect of cooperation in large groups
Theor Popul Biol. 2023 Nov 23;155:10-23. doi: 10.1016/j.tpb.2023.11.001. Online ahead of print.ABSTRACTCooperation usually becomes harder to sustain as groups become larger because incentives to shirk increase with the number of potential contributors to collective action. But is this always the case? Here we study a binary-action cooperative dilemma where a public good is provided as long as not more than a given number of players shirk from a costly cooperative task. We find that at the stable polymorphic equilibrium, which exists when the cost of cooperation is low enough, the probability of cooperating increases with g...
Source: Theoretical Population Biology - November 24, 2023 Category: Biology Authors: Jorge Pe ña Aviad Heifetz Georg N öldeke Source Type: research
Exact confidence intervals for population growth rate, longevity and generation time
This study introduces the first mathematical expression for calculating confidence intervals for the aforementioned life history traits when individuals are unidentifiable and data are presented as a life table. The key finding is the accurate estimation of the confidence interval for r, the instantaneous growth rate, which is tested using Monte Carlo simulations with four arbitrary discrete distributions. In comparison to the bootstrap method, the proposed interval construction method proves more efficient, particularly for experiments with a total offspring size below 400. We discuss handling cases where data are organiz...
Source: Theoretical Population Biology - November 24, 2023 Category: Biology Authors: Carlos Hernandez-Suarez Jorge Rabinovich Source Type: research
The shirker's dilemma and the prospect of cooperation in large groups
Theor Popul Biol. 2023 Nov 22:S0040-5809(23)00064-3. doi: 10.1016/j.tpb.2023.11.001. Online ahead of print.ABSTRACTCooperation usually becomes harder to sustain as groups become larger because incentives to shirk increase with the number of potential contributors to collective action. But is this always the case? Here we study a binary-action cooperative dilemma where a public good is provided as long as not more than a given number of players shirk from a costly cooperative task. We find that at the stable polymorphic equilibrium, which exists when the cost of cooperation is low enough, the probability of cooperating incr...
Source: Theoretical Population Biology - November 24, 2023 Category: Biology Authors: Jorge Pe ña Aviad Heifetz Georg N öldeke Source Type: research
Taylor's law for exponentially growing local populations linked by migration
Theor Popul Biol. 2023 Nov 8;154:118-125. doi: 10.1016/j.tpb.2023.10.002. Online ahead of print.ABSTRACTWe consider the dynamics of a collection of n>1 populations in which each population has its own rate of growth or decay, fixed in continuous time, and migrants may flow from one population to another over a fixed network, at a rate, fixed over time, times the size of the sending population. This model is represented by an ordinary linear differential equation of dimension n with constant coefficients arrayed in an essentially nonnegative matrix. This paper identifies conditions on the parameters of the model (specifi...
Source: Theoretical Population Biology - November 10, 2023 Category: Biology Authors: Samuel Carpenter Scout Callens Clark Brown Joel E Cohen Benjamin Z Webb Source Type: research
Taylor's law for exponentially growing local populations linked by migration
Theor Popul Biol. 2023 Nov 8;154:118-125. doi: 10.1016/j.tpb.2023.10.002. Online ahead of print.ABSTRACTWe consider the dynamics of a collection of n>1 populations in which each population has its own rate of growth or decay, fixed in continuous time, and migrants may flow from one population to another over a fixed network, at a rate, fixed over time, times the size of the sending population. This model is represented by an ordinary linear differential equation of dimension n with constant coefficients arrayed in an essentially nonnegative matrix. This paper identifies conditions on the parameters of the model (specifi...
Source: Theoretical Population Biology - November 10, 2023 Category: Biology Authors: Samuel Carpenter Scout Callens Clark Brown Joel E Cohen Benjamin Z Webb Source Type: research
Taylor's law for exponentially growing local populations linked by migration
Theor Popul Biol. 2023 Nov 8;154:118-125. doi: 10.1016/j.tpb.2023.10.002. Online ahead of print.ABSTRACTWe consider the dynamics of a collection of n>1 populations in which each population has its own rate of growth or decay, fixed in continuous time, and migrants may flow from one population to another over a fixed network, at a rate, fixed over time, times the size of the sending population. This model is represented by an ordinary linear differential equation of dimension n with constant coefficients arrayed in an essentially nonnegative matrix. This paper identifies conditions on the parameters of the model (specifi...
Source: Theoretical Population Biology - November 10, 2023 Category: Biology Authors: Samuel Carpenter Scout Callens Clark Brown Joel E Cohen Benjamin Z Webb Source Type: research
Taylor's law for exponentially growing local populations linked by migration
Theor Popul Biol. 2023 Nov 8:S0040-5809(23)00063-1. doi: 10.1016/j.tpb.2023.10.002. Online ahead of print.ABSTRACTWe consider the dynamics of a collection of n>1 populations in which each population has its own rate of growth or decay, fixed in continuous time, and migrants may flow from one population to another over a fixed network, at a rate, fixed over time, times the size of the sending population. This model is represented by an ordinary linear differential equation of dimension n with constant coefficients arrayed in an essentially nonnegative matrix. This paper identifies conditions on the parameters of the mode...
Source: Theoretical Population Biology - November 10, 2023 Category: Biology Authors: Samuel Carpenter Scout Callens Clark Brown Joel E Cohen Benjamin Z Webb Source Type: research
Taylor's law for exponentially growing local populations linked by migration
Theor Popul Biol. 2023 Nov 8:S0040-5809(23)00063-1. doi: 10.1016/j.tpb.2023.10.002. Online ahead of print.ABSTRACTWe consider the dynamics of a collection of n>1 populations in which each population has its own rate of growth or decay, fixed in continuous time, and migrants may flow from one population to another over a fixed network, at a rate, fixed over time, times the size of the sending population. This model is represented by an ordinary linear differential equation of dimension n with constant coefficients arrayed in an essentially nonnegative matrix. This paper identifies conditions on the parameters of the mode...
Source: Theoretical Population Biology - November 10, 2023 Category: Biology Authors: Samuel Carpenter Scout Callens Clark Brown Joel E Cohen Benjamin Z Webb Source Type: research
Taylor's law for exponentially growing local populations linked by migration
Theor Popul Biol. 2023 Nov 8:S0040-5809(23)00063-1. doi: 10.1016/j.tpb.2023.10.002. Online ahead of print.ABSTRACTWe consider the dynamics of a collection of n>1 populations in which each population has its own rate of growth or decay, fixed in continuous time, and migrants may flow from one population to another over a fixed network, at a rate, fixed over time, times the size of the sending population. This model is represented by an ordinary linear differential equation of dimension n with constant coefficients arrayed in an essentially nonnegative matrix. This paper identifies conditions on the parameters of the mode...
Source: Theoretical Population Biology - November 10, 2023 Category: Biology Authors: Samuel Carpenter Scout Callens Clark Brown Joel E Cohen Benjamin Z Webb Source Type: research
