A pair formation approach to modeling inheritance of social traits

The problem of who is mixing with whom is of great theoretical importance in the context of heterosexual mixing. In this article, we publish for the first time, data from a study carried out in 1989 that had the goal of estimating who is mixing with whom, in heterosexually active college populations in the presence of co-factors like drinking. The gathering of these data and the challenges involved in modelling the interaction between and among heterosexually active populations of individuals are highlighted in this manuscript. The modelling is based on the assumptions that at least two processes are involved: individual affinities or preferences determine 'what we want' while mixing patterns describe 'what we get'. We revisit past results on the role of affinity/preference on observed mixing patterns in one- and two-sex mixing populations. Some new results for homosexually active populations are presented. The study of mixing is but the means to an end and consequently, we also look at the role of affinity on epidemics as filtered by observed mixing patterns. It would not be surprising to observe that highly distinct preference or mixing structures may actually lead to quite similar epidemic patterns.

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“…[1][2][3][8][9][10]37,38,58]. Extensive applications of the role of mixing in the context of HIV/AIDS have been carried out in the past.…”

Section: Application In Epidemiologymentioning

confidence: 99%

Notes from the heterogeneous: a few observations on the implications and necessity of affinity

Morin

Castillo‐Chavez

Schmitz

et al. 2010

Journal of Biological Dynamics

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“…A flexible framework for the modeling of population interactions is being developed because several questions of theoretical and practical importance cannot be properly studied under the existing framework. Some recent applications to this new framework include those to food web dynamics (Velasco-Hernandez and Castillo-Chavez 1993), and those to cultural dynamics (Lubkin and Castillo-Chavez 1993). Castillo-Chavez (1989, 1991) defined the contact/social structures.…”

Section: Models With Social Structurementioning

confidence: 99%

Basic Models in Epidemiology

Brauer¹,

Castillo‐Chavez²

1995

Ecological Time Series

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Abstract. This chapter gives an introduction to epidemiological models for homogeneously mixing populations. A flexible framework for modeling deterministic and stochastic--continuous time Markov processes--pair-formation processes is revisited.This framework is used to formulate demographic models for heterogeneous mixing populations which can be used in the construction of models for communicable and sexually-transmitted diseases. Extensions to stochastic epidemiological processes are outlined.

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“…Hence they exclude many situations including religious conversion while at the same time their model is riddled with the usual inherent limitations of models with nonoverlapping generations. In Lubkin et al (1992), we have developed a flexible framework to study the transmission dynamics of cultural traits in age-structured populations with overlapping generations. The flexibility comes from the incorporation of pairings, partnership duration, and "arbitrary" mating systems.…”

Section: Demograpidc and Social Dynamic Modelsmentioning

confidence: 99%

“…The flexibility comes from the incorporation of pairings, partnership duration, and "arbitrary" mating systems. In Lubkin et al {1992) examples are provided that include the melting pot, biparental determination, and maternal determination models. Finally, we note that the models of the type here constructed do not represent just an exercise in modelling, as their use has begun to have a serious impact in the area of sociology, epidemiology, immunology, and ecology.…”

Section: Demograpidc and Social Dynamic Modelsmentioning

confidence: 99%

Modeling Contact Structures in Biology

Castillo‐Chavez

Hernández²,

Fridman

1994

Lecture Notes in Biomathematics

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Abstract. Social dynamics have had a strong impact on the development of theoretical epidemiology over the last six years. Interactions or contacts between individuals have traditionally been modeled using the mass-action law or proportionate mixing, giving limited understanding of effects that the environment-changing social structure-has on disease dynamics. Furthermore, while gender plays a central role in the dynamics of sexually-transmitted diseases, the use of two-sex models has been rare. In this article, we review briefly our mixing/pair formation framework and illustrate its application to population models of the type. currently used in demography, epidemiology, and social "dynamics. A new application to frequency dependent competitive interactions is discussed in more detail. Connections between deterministic and stochastic processes are presented. The results of the simulations of a demographic two-sex: stochastic model that follows the dynamics of pairs are presented.

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A pair formation approach to modeling inheritance of social traits

Cited by 4 publications

References 9 publications

Notes from the heterogeneous: a few observations on the implications and necessity of affinity

Notes from the heterogeneous: a few observations on the implications and necessity of affinity

Basic Models in Epidemiology

Modeling Contact Structures in Biology

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