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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

Evolution of variables which affect larvae mortality (rα), hive bee maturation rate (ai) and foraging rate (fQ).
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pone.0130966.g011: Evolution of variables which affect larvae mortality (rα), hive bee maturation rate (ai) and foraging rate (fQ).

Mentions: Fig 11 shows the ratio rα from Eq (15), the acceleration term ai from Eq (22), and the forager rate reduction fQ from Eq (18) as a function of time for the simulation shown in Fig 8. When rα < 1, the larvae in the colony experience increased mortality due to insufficient nurse bees according to (9). When rα > 1, the larvae mortality is assumed to be the normal rate from row 1 in Table 3, m = 1 − S = 1 − .99 = .01. We see that the colony experiences some larvae deaths due to insufficient nurse bees from days 69 to 136. When ai > 1, pheromones accelerate the development of hive bees. When ai < 1, pheromones decelerate the development of hive bees to retain more hive bees. Pheromones decelerate the hive bee maturation rate in days 72 to 99. Outside that range, the hive bee maturation rate is accelerated. When fQ < 1 the foraging food rate p is reduced. We see a reduction in the foraging rate in days 80 through 96 and after day 220.


Modeling Honey Bee Populations.

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

Evolution of variables which affect larvae mortality (rα), hive bee maturation rate (ai) and foraging rate (fQ).
© Copyright Policy
Related In: Results  -  Collection

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

pone.0130966.g011: Evolution of variables which affect larvae mortality (rα), hive bee maturation rate (ai) and foraging rate (fQ).
Mentions: Fig 11 shows the ratio rα from Eq (15), the acceleration term ai from Eq (22), and the forager rate reduction fQ from Eq (18) as a function of time for the simulation shown in Fig 8. When rα < 1, the larvae in the colony experience increased mortality due to insufficient nurse bees according to (9). When rα > 1, the larvae mortality is assumed to be the normal rate from row 1 in Table 3, m = 1 − S = 1 − .99 = .01. We see that the colony experiences some larvae deaths due to insufficient nurse bees from days 69 to 136. When ai > 1, pheromones accelerate the development of hive bees. When ai < 1, pheromones decelerate the development of hive bees to retain more hive bees. Pheromones decelerate the hive bee maturation rate in days 72 to 99. Outside that range, the hive bee maturation rate is accelerated. When fQ < 1 the foraging food rate p is reduced. We see a reduction in the foraging rate in days 80 through 96 and after day 220.

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