2019
DOI: 10.1038/s41598-019-40725-0
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A mathematical model to estimate the seasonal change in apparent longevity of bee colony

Abstract: The longevity of a honeybee colony is far more significant than the lifespan of an individual honeybee, a social insect. The longevity of a honeybee colony is integral to the fate of the colony. We have proposed a new mathematical model to estimate the apparent longevity defined in the upper limit of an integral equation. The apparent longevity can be determined only from the numbers of adult bees and capped brood. By applying the mathematical model to a honeybee colony in Japan, seasonal changes in apparent l… Show more

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Cited by 12 publications
(28 citation statements)
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“…We previously proposed the following mathematical model to estimate apparent longevity using only numbers of adult bees and capped brood (Yamada, Yamada & Yamada, 2019):…”
Section: Mathematical Model For Apparent Longevitymentioning
confidence: 99%
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“…We previously proposed the following mathematical model to estimate apparent longevity using only numbers of adult bees and capped brood (Yamada, Yamada & Yamada, 2019):…”
Section: Mathematical Model For Apparent Longevitymentioning
confidence: 99%
“…Control colonies into which pesticide-free sugar syrup was fed showed similar seasonal changes in apparent longevity to one another among three long-term field experiments conducted in Shika. Apparent longevity began to increase in the latter half of September, increased rapidly from the latter half of October with the approach of winter, reached a maximum in the latter half of April in the ensuing year, then decreased dramatically (Yamada, Yamada & Yamada, 2019).…”
Section: Introductionmentioning
confidence: 97%
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“…September [46], it may be effective to exterminate Varroa mites for bee larvae in early autumn (early September) when preparations of wintering have be started. The fluctuation range of the inner temperature of the hive-box (Ti) is smaller than that of the ambient temperature of the hive-box (Ta).…”
Section: Cr-mentioning
confidence: 99%
“…In the near future, we will investigate the seasonal change in the apparent longevity whose mathematical model was proposed previously [46], for the DF-exposed & Varroa-mite-damaged colony where DF was administered via pollen paste, using the numbers of adult bees and capped brood measured accurately in this work. Figure S1: The inside of the hive box is numbered clockwise from the face of the entrance, Figure S2: An example of numbered comb frame, Figure S3: Photo stand, two empty hive-boxes, experiment log and beekeeping tools, Figure S4: Overall view of experimental site, Method S1: Field experimental procedures, Method S2: Determination procedure of the numbers of adult bees and capped brood, Method S3: Criteria for determining mite-damaged bees and estimating the number of mite-damaged bees, Table S1: Summary of experimental conditions and results of four long-term field experiments in Shika, Japan, Table S2: Weather information & Experimental time, Table S3: Summary of observational results for control colonies (CR-1; CR-2; CR-3), Table S4: Summary of observational results for DF-exposed colonies (DF-1; DF-2; DF-3), Table S5: Summary of experimental note.…”
Section: Cr-mentioning
confidence: 99%