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Modeling Honey Bee Populations.

Torres DJ, Ricoy UM, Roybal S - PLoS ONE (2015)

Bottom Line: Understanding the recent decline in honey bee colonies hinges on understanding the factors that impact each of these different age castes.Subsequently, we study transient bee population dynamics by building upon the modeling foundation established by Schmickl and Crailsheim and Khoury et al.We also conduct sensitivity studies and show the effects of parameter variations on the colony population.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics and Physical Science, Northern New Mexico College, Espanola, NM, USA.

ABSTRACT
Eusocial honey bee populations (Apis mellifera) employ an age stratification organization of egg, larvae, pupae, hive bees and foraging bees. Understanding the recent decline in honey bee colonies hinges on understanding the factors that impact each of these different age castes. We first perform an analysis of steady state bee populations given mortality rates within each bee caste and find that the honey bee colony is highly susceptible to hive and pupae mortality rates. Subsequently, we study transient bee population dynamics by building upon the modeling foundation established by Schmickl and Crailsheim and Khoury et al. Our transient model based on differential equations accounts for the effects of pheromones in slowing the maturation of hive bees to foraging bees, the increased mortality of larvae in the absence of sufficient hive bees, and the effects of food scarcity. We also conduct sensitivity studies and show the effects of parameter variations on the colony population.

No MeSH data available.


Related in: MedlinePlus

Effect of different levels of the foraging rate p on adult bee population.
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pone.0130966.g017: Effect of different levels of the foraging rate p on adult bee population.

Mentions: The next study varies the daily foraging rate p in Eq (19) and determines its effect on the adult bee population. The calculation begins on day 210 with 10,400 hive bees, 5,600 foraging bees and 2 kg of food. All previous simulations do not invoke the food scarcity algorithm because sufficient food is provided and obtained by the colony. However, this simulation specifically stresses the colony through food scarcity by reducing the foraging rate. Fig 17 shows that the colony collapses when p = .04 g/(day⋅bee) and p = .02 g/(day⋅bee) due to insufficient food at day 430 or in early March. The foraging rate curve p = .04 g/(day⋅bee) is difficult to discern but follows the curve for p = .06 g/(day⋅bee) and declines and diverges at 420 days. A foraging rate of p = .06 g/(day⋅bee) is sufficient to sustain the colony.


Modeling Honey Bee Populations.

Torres DJ, Ricoy UM, Roybal S - PLoS ONE (2015)

Effect of different levels of the foraging rate p on adult bee population.
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4493160&req=5

pone.0130966.g017: Effect of different levels of the foraging rate p on adult bee population.
Mentions: The next study varies the daily foraging rate p in Eq (19) and determines its effect on the adult bee population. The calculation begins on day 210 with 10,400 hive bees, 5,600 foraging bees and 2 kg of food. All previous simulations do not invoke the food scarcity algorithm because sufficient food is provided and obtained by the colony. However, this simulation specifically stresses the colony through food scarcity by reducing the foraging rate. Fig 17 shows that the colony collapses when p = .04 g/(day⋅bee) and p = .02 g/(day⋅bee) due to insufficient food at day 430 or in early March. The foraging rate curve p = .04 g/(day⋅bee) is difficult to discern but follows the curve for p = .06 g/(day⋅bee) and declines and diverges at 420 days. A foraging rate of p = .06 g/(day⋅bee) is sufficient to sustain the colony.

Bottom Line: Understanding the recent decline in honey bee colonies hinges on understanding the factors that impact each of these different age castes.Subsequently, we study transient bee population dynamics by building upon the modeling foundation established by Schmickl and Crailsheim and Khoury et al.We also conduct sensitivity studies and show the effects of parameter variations on the colony population.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics and Physical Science, Northern New Mexico College, Espanola, NM, USA.

ABSTRACT
Eusocial honey bee populations (Apis mellifera) employ an age stratification organization of egg, larvae, pupae, hive bees and foraging bees. Understanding the recent decline in honey bee colonies hinges on understanding the factors that impact each of these different age castes. We first perform an analysis of steady state bee populations given mortality rates within each bee caste and find that the honey bee colony is highly susceptible to hive and pupae mortality rates. Subsequently, we study transient bee population dynamics by building upon the modeling foundation established by Schmickl and Crailsheim and Khoury et al. Our transient model based on differential equations accounts for the effects of pheromones in slowing the maturation of hive bees to foraging bees, the increased mortality of larvae in the absence of sufficient hive bees, and the effects of food scarcity. We also conduct sensitivity studies and show the effects of parameter variations on the colony population.

No MeSH data available.


Related in: MedlinePlus