The Africanized honey bee dispersal: a mathematical zoom

Mistro, Diomar Cristina; Rodrigues, Luiz Alberto Díaz; Ferreira, Wilson Castro

doi:10.1016/j.bulm.2004.07.006

Cited by 21 publications

(20 citation statements)

References 39 publications

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“…Detailed patterns of abundance of Africanized honeybees are only fragmentary known and there is only a coarse expectation of its distribution, thus preventing us from adopting a more quantitative explicit comparison. It is possible, however, to rely both on the knowledge of distributional limits and suitable habitats for the subspecies in Americas, which are scattered throughout the literature, and on the information about the bees dispersion since the original introduction in Brazil, presuming that the highest rates of expansion occurred in the most suitable habitats (see Mistro et al 2005 for an range expansion map). This way, it was possible to understand matches between current and projected distributions, although not precisely.…”

Section: Discussionmentioning

confidence: 99%

Geographic distribution of Africanized honeybees (Apis mellifera) reflects niche characteristics of ancestral African subspecies

Vital¹,

Hepburn²,

Radloff³

et al. 2012

NatCon

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The introduction of the Africanized honeybees (Apis mellifera scutellata) in the New World is reported as one of the most successful exotic species invasion ever known. Here, we analyzed this invasion process through niche modeling approach, comparing the performance of modeling A. m. scutellata with other African subspecies distributions, projected into the New World. We applied the Genetic Algorithm for Rule Set Production (GARP) on a dataset of the original distribution of the subspecies in Africa. Only data from A. m. scutellata and A. m. jemenitica generated projected distributions in the Americas that resemble closely the current distribution of Africanized bees. These results suggest that the current distribution of Africanized honeybees in the New World to a great extent reflects niche characteristics from the subspecies that was originally introduced, reflecting a niche conservatism process.

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Section: Discussionmentioning

confidence: 99%

Geographic distribution of Africanized honeybees (Apis mellifera) reflects niche characteristics of ancestral African subspecies

Vital¹,

Hepburn²,

Radloff³

et al. 2012

NatCon

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“…A partir do Brasil se dispersaram para toda a América do Sul (com exceção do Chile), a América Central e parte da América do Norte (DE JONG, 1996;MISTRO et al, 2005). Desta forma, as populações polihíbridas de Apis mellifera (abelha africanizada) são caracteristicamente espécies invasoras exóticas, por introdução antrópica.…”

Section: I1-abelha Africanizada (Apis Mellifera L)unclassified

ABELHA AFRICANIZADA (Apis mellifera L.) EM ÁREAS URBANAS NO BRASIL: NECESSIDADE DE MONITORAMENTO DE RISCO DE ACIDENTES

Santos

Mendes²

2016

Sustinere

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Resumo:As abelhas constituem um dos principais grupos de animais associados à polinização de diversasplantas nativas e cultivadas, à regeneração de ecossistemas fragmentados e à apicultura, com destaque para Apis mellifera L., espécie exótica introduzida no Brasil no século XIX.Após o cruzamento das subespécies de Apis mellifera de origem europeia com a subespécie africana Apis m. scutellata, houve a aquisição de características herdadas da abelha africana (maior tolerância ao clima, alta capacidade de enxameação, etc.). Também foi herdado o comportamento de maior "agressividade", umnovo desafio para a apicultura, que exigiu readaptações no setor. As abelhas africanizadas nidificam em locais variados, tanto em áreas urbanas como rurais, o que favorece a ocorrência de acidentes com a população humana ou animal. Inúmeros casos já foram registrados, tornando-se esta uma importante questão para a saúde pública nacional. Este artigo contribui na reflexão para identificar medidas de planejamento e tomada de decisão, para a redução de acidentes, em tempo oportuno, e propor soluções, contando com instrumentos como o geoprocessamento, ligados a Sistemas de Informações Geográficas, a fim de se incrementar medidas para o monitoramento, prevenção, controle e mitigação dos acidentes com abelhas africanizadas em áreas de risco, obtendo-se assim maior agilidadede informações, tanto para prevenção quanto para ações de primeiros socorros em casos de acidentes já ocorridos.Sugere-se a elaboração de metodologia de notificação e investigação de eventos adversos associados às abelhas, atualizados no tempo e no espaço, para o controle da propagação das mesmas no ambiente urbano e rural. Palavras-chave: Apis mellifera; Risco de acidentes; Geoprocessamento; Fauna sinantrópica; Animais peçonhentos. AFRICANIZED HONEYBEE (Apis mellifera L.) IN BRAZILIAN URBAN AREAS: NEED OF ACCIDENT RISK MONITORING Abstract:Bees are one of the major groups of animals associated with pollination of different plants, crops, fragmented ecosystems regeneration and beekeeping, especially Apis mellifera L., an

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“…In recent years, integrodifference equations have been used to model the growth and spread of a wide variety of organisms. See Neubert and Parker (2004), Cobbold et al (2005), Fagan et al (2005), Mistro et al (2005), Jacquemyn et al (2005), Tufto et al (2005), Krkosek et al (2007), and Skarpaas and Shea (2007) for examples.…”

Section: Introductionmentioning

confidence: 98%

Saddle-Point Approximations, Integrodifference Equations, and Invasions

Kot

Neubert

2008

Bull. Math. Biol.

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Invasion, the growth in numbers and spatial spread of a population over time, is a fundamental process in ecology. Governments and businesses expend vast sums to prevent and control invasions of pests and pestilences and to promote invasions of endangered species and biological control agents. Many mathematical models of biological invasions use nonlinear integrodifference equations to describe the growth and dispersal processes and to predict the speed of invasion fronts. Linear models have received less attention, perhaps because they are difficult to simulate for large times. In this paper, we use the saddle-point method, alias the method of steepest descent, to derive asymptotic approximations for the solutions of linear integrodifference equations. We work through five examples, for Gaussian, Laplace, and uniform dispersal kernels in one dimension and for asymmetric Gaussian and radially symmetric Laplace kernels in two dimensions. Our approximations are extremely close to the exact solutions, even for intermediate times. We also employ an empirical saddle-point approximation to predict densities using dispersal data. We use our approximations to examine the effects of censored dispersal data on estimates of invasion speed and population density.

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The Africanized honey bee dispersal: a mathematical zoom

Cited by 21 publications

References 39 publications

Geographic distribution of Africanized honeybees (Apis mellifera) reflects niche characteristics of ancestral African subspecies

Geographic distribution of Africanized honeybees (Apis mellifera) reflects niche characteristics of ancestral African subspecies

ABELHA AFRICANIZADA (Apis mellifera L.) EM ÁREAS URBANAS NO BRASIL: NECESSIDADE DE MONITORAMENTO DE RISCO DE ACIDENTES

Saddle-Point Approximations, Integrodifference Equations, and Invasions

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