Waggle dance

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The waggle dance - the direction the bee moves in relation to the hive indicates direction; if it moves vertically the direction to the source is directly towards the Sun. The duration of the waggle part of the dance signifies the distance. Bee dance.svg
The waggle dance - the direction the bee moves in relation to the hive indicates direction; if it moves vertically the direction to the source is directly towards the Sun. The duration of the waggle part of the dance signifies the distance.

Waggle dance is a term used in beekeeping and ethology for a particular figure-eight dance of the honey bee. By performing this dance, successful foragers can share information about the direction and distance to patches of flowers yielding nectar and pollen, to water sources, or to new nest-site locations with other members of the colony. [1] [2]

Contents

The waggle dance and the round dance are two forms of dance behaviour that are part of a continuous transition. As the distance between the resource and the hive increases, the round dance transforms into variations of a transitional dance, which, when communicating resources at even greater distances, becomes the waggle dance. [3] In the case of Apis mellifera ligustica , the round dance is performed until the resource is about 10 metres away from the hive, transitional dances are performed when the resource is at a distance of 20 to 30 metres away from the hive, and finally, when it is located at distances greater than 40 metres from the hive, the waggle dance is performed. [3] However, even close to the nest, the round dance can contain elements of the waggle dance, such as a waggle portion. [4] It has therefore been suggested that the term waggle dance is better for describing both the waggle dance and the round dance. [5]

Austrian ethologist and Nobel laureate Karl von Frisch was one of the first who translated the meaning of the waggle dance. [6]

Description

Figure-eight-shaped waggle dance of the honeybee (Apis mellifera). A waggle run oriented 45deg to the right of 'up' on the vertical comb (A) indicates a food source 45deg to the right of the direction of the sun outside the hive (B). The abdomen of the dancer appears blurred because of the rapid motion from side to side. Waggle dance.png
Figure-eight-shaped waggle dance of the honeybee (Apis mellifera). A waggle run oriented 45° to the right of ‘up’ on the vertical comb (A) indicates a food source 45° to the right of the direction of the sun outside the hive (B). The abdomen of the dancer appears blurred because of the rapid motion from side to side.

A waggle dance consists of one to 100 or more circuits, each of which consists of two phases: the waggle phase and the return phase. A worker bee's waggle dance involves running through a small figure-eight pattern: a waggle run (aka waggle phase) followed by a turn to the right to circle back to the starting point (aka return phase), another waggle run, followed by a turn and circle to the left, and so on in a regular alternation between right and left turns after waggle runs. Waggle-dancing bees produce and release two alkanes, tricosane and pentacosane, and two alkenes, (Z)-9-tricosene and (Z)-9-pentacosene, onto their abdomens and into the air. [7]

The direction and duration of waggle runs are closely correlated with the direction and distance of the resource being advertised by the dancing bee. In an experiment with capture and relocation of bees exposed to a waggle dance the bees followed the path that would have taken them to an experimental feeder had they not been displaced. [1] The resource can include the location of a food source or a potential nesting site. [8] For cavity-nesting honey bees, like the western honey bee (Apis mellifera) or Apis nigrocincta , flowers that are located directly in line with the sun are represented by waggle runs in an upward direction on the vertical combs, and any angle to the right or left of the sun is coded by a corresponding angle to the right or left of the upward direction. The distance between hive and recruitment target is encoded in the duration of the waggle runs. [1] [9] The farther the target, the longer the waggle phase. The more excited the bee is about the location, the more rapidly it will waggle, so it will grab the attention of the observing bees, and try to convince them. If multiple bees are doing the waggle dance, it's a competition to convince the observing bees to follow their lead, and competing bees may even disrupt other bees' dances or fight each other off.[ citation needed ] In addition, some open-air nesting honeybees such as the black dwarf honeybee (Apis andreniformis), whose nests hang from twigs or branches, will perform a horizontal dance on a stage above their nest in order to signal to resources. [10]

Waggle dancing bees that have been in the nest for an extended time adjust the angles of their dances to accommodate the changing direction of the sun. Therefore, bees that follow the waggle run of the dance are still correctly led to the food source even though its angle relative to the sun has changed.

The consumption of ethanol by foraging bees has been shown to reduce waggle dance activity and increase occurrence of the tremble dance. [11]

Kevin Abbott and Reuven Dukas of McMaster University in Hamilton, Ontario, Canada discovered that if a dead western honeybee is placed on a flower, bees performed far fewer waggle dances upon returning to the hive. The scientists explain that the bees associate the dead bee with the presence of a predator at the food source. The reduction of the dance repetition frequency, therefore, indicates that the dancing bees perform and communicate a form of risk/benefit analysis. [12] [13]

Though first decoded by Karl von Frisch, dancing behavior in bees had been observed and described multiple times prior. Around 100 years before Frisch's discovery, Nicholas Unhoch described dancing behavior of bees as being an indulgence "in certain pleasures and jollity". [6] He admitted ignorance as to the purpose of the dancing. 35 years prior to Unhoch's observations, Ernst Spitzner observed bees dancing and interpreted it as transmitting forage resource odors to other nestmates. [6] Aristotle, in addition to describing flower constancy behavior, suspected that some form of communication occurred between foragers within a nest:

"On each trip the bee does not fly from a flower of one kind to a flower of another, but flies from one violet, say, to another violet, and never meddles with another flower until it has got back to the hive; on reaching the hive they throw off their load, and each bee on her return is followed by three or four companions. What it is that they gather is hard to see, and how they do it has not been observed". [14]

Jürgen Tautz also writes about it in his book The Buzz about Bees (2008):

Many elements of the communication used to recruit miniswarms to feeding sites are also observed in "true" swarming behavior. Miniswarms of foragers are not placed under the same selection pressure as are true swarms, because the fate of the entire colony is not at stake. A truly swarming colony has to be quickly led to a new home, or it will perish. The behavior used to recruit to food sources possibly developed from the "true" swarming behavior. [15]

Mechanism

Honeybees accumulate an electric charge during flying and when their body parts are moved or rubbed together. Bees emit constant and modulated electric fields during the waggle dance. Both low- and high-frequency components emitted by dancing bees induce passive antennal movements in stationary bees according to Coulomb's Law. The electrically charged flagella of mechanoreceptor cells are moved by electric fields and more strongly so if sound and electric fields interact. Recordings from axons of the Johnston's organ indicate its sensitivity to electric fields. Therefore, it has been suggested that electric fields emanating from the surface charge of bees stimulate mechanoreceptors and may play a role in social communication during the waggle dance. [16]

Controversy

Workers of Apis mellifera carnica on honeycomb Apis mellifera carnica worker honeycomb 3.jpg
Workers of Apis mellifera carnica on honeycomb

The dance language vs. the waggle dance

As defined by von Frisch, Tanzsprache (German for 'dance language') is the information about direction, distance, and quality of a resource (such as food or nesting sites) contained within the waggle dance. [17] There is supporting evidence of the waggle dance and "Tanzsprache" in Apis dorsata. Similar to other bees, they utilize the dance language to indicate the critical information regarding food resources. The dancer's body points in the direction of the food source and the sound produced during the dance indicates the profitability of the food. [18] Although there is some evidence for a direct connection between the Tanzsprache and the performance of the waggle dance, recent criticism holds that potential foragers need not correctly translate the dance language from the waggle dance to successfully forage. [17] In an experiment on the honeybee Apis mellifera, most individuals who thoroughly followed a waggle dance ignored the resource direction and location information. Instead, 93% of the foragers returned to foraging areas they had previous knowledge of. [17]

Bees that follow a waggle dance can successfully forage without decoding the dance language information in several ways: [4]

Dance language as a language

The use of the word language may lead to misrepresentations of the waggle dance. The Swiss linguist Ferdinand de Saussure proposed a system of language where a sign is made up of two chief components. The signifier is the physical or phonetic representation of a sign. The signified is the conceptual component. [19] If the dance language followed the Saussurian dyadic model of semiotics, the signifier would be the waggle dance and the signified would be the location of the foraging resource. Though the dance language may or may not follow this sort of pattern, it is not considered to be a language with syntactical grammar or a set of symbols. [4]

Efficiency and adaptation

The waggle dance may be less efficient than once thought. Some bees observe over 50 waggle runs without successfully foraging, while others will forage successfully after observing 5 runs. [4] Likewise, studies have found that honeybees rarely make use of the information communicated in the waggle dance and seem to only do so about ten percent of the time. [20] [21] There can be a conflict between private information based upon individual experiences, and social information transmitted through dance communication. Essentially, foragers often prefer to use remembered information about previously rewarding food sites that they have visited and will use this information even when receiving dance information about new food sources. [21] This sheds light on the fact that following social information is more energetically costly than foraging independently and is not always advantageous. [22] [23] Using olfactory cues and memory of plentiful foraging sites, honeybees are able to successfully forage independently without expending the potentially extensive energy it takes to process and execute the directions communicated by their fellow foragers. However, foragers following waggle dances will eventually switch to using public information, the food location information provided by the waggle dancer, when their private information is no longer useful. [24]

The waggle dance is beneficial in some environments and not in others, which provides a plausible explanation as to why the information provided by waggle dances are only used sparingly. [25] Depending on weather, other competitors, and food source characteristics, transmitted information may quickly degrade and become obsolete. [26] As a result, foragers have been reported to be attached to their food sites and continue to revisit a single patch many times after it has become unprofitable. [27] For example, the waggle dance plays a significantly larger role in foraging when food sources are not as abundant. [28] [21] In temperate habitats, for instance, honey bee colonies routinely perform the waggle dance but were still able to successfully forage when the location information provided by the dance was experimentally obscured. In tropical habitats, however, honey bee foraging is severely impaired if waggle dancing is prevented. This difference is thought to be due to the patchiness of resources in tropical environment versus the homogeneity of resources in temperate environments. In the tropics, food resources can come in the form of flowering trees which are rich in nectar but are scattered sparsely and bloom only briefly. Thus, in tropical zones information about forage location might be more valuable than in temperate zones. [20]

Evolution

Asian honeybees (darker abdomen) and European honeybee (red marked) learning each others "dialects" of the waggle dance.

Ancestors to modern honeybees most likely performed excitatory movements to encourage other nest-mates to forage. These excitatory movements include shaking, zig-zagging, buzzing and crashing into nestmates. Similar behavior is observed in other Hymenoptera including stingless bees, wasps, bumblebees and ants. [4]

One promising theory for the evolution of the waggle dance, first proposed by Martin Lindauer, is that the waggle dance originally aided in the communication of information about a new nest site, rather than spatial information about foraging sites. [4] [29]

Honeybees with the most derived traits have been observed to perform the most derived waggle dances. The honeybees can be categorized into three main groups: the dwarf honeybees (2 species), the giant honeybees (3 species), both of which build a single comb in an open nest site, while the remaining 6 species are cavity-nesting. It has been confirmed that the dwarf honey bees are basal and the giant and cavity-nesting honey bees are monophyletic. The waggle dances of each bee species varies to different extents, nesting behavior playing a key role in waggle dance traits. For example, the open nesting honeybee variety rely on celestial cues to orient their dance while the cavity-nesting bees are able to use gravity and orient their dances in their dark nests. The open-nesting bees have no reason to have to use gravity because they do not need to perform their dances in the dark. Further, cavity-nesting bees have incorporated a sound element into their dances. Using the vibration of their wings, these bees use acoustics to aid in the signaling and provide more information about the distance, direction, and quality of the food/nesting site. It is suspected that this also evolved in response to the cavity-nesting bees having to perform their waggle dance in the dark. The dance orientation has evolved as well, ancestrally being performed on a horizontal plane, cavity-nesters have evolved to perform the dance on a vertical plane. Horizontal dancing results in more error in the dance, thus it is advantageous to dance vertically (more accurately) as cavity-nesting species do. [30]

Observations have suggested that different species of honeybees have different "dialects" of the waggle dance, each species or subspecies dance varying by curve or duration. [31] [32] A study from 2008 demonstrated that a mixed colony of Asiatic honeybees ( Apis cerana cerana) and European honeybees (Apis mellifera ligustica) were gradually able to understand one another's "dialects" of waggle dance. [33]

Applications to operations research

In line with recent work in swarm intelligence research involving optimization algorithms inspired by the behavior of social insects (including bees, ants and termites), and vertebrates such as fish and birds, there has recently been research on using bee waggle dance behavior for efficient fault-tolerant routing. [34] From the abstract of Wedde, Farooq, and Zhang (2004): [35]

In this paper we present a novel routing algorithm, BeeHive, which has been inspired by the communicative and evaluative methods and procedures of honey bees. In this algorithm, bee agents travel through network regions called foraging zones. On their way their information on the network state is delivered for updating the local routing tables. BeeHive is fault tolerant, scalable, and relies completely on local, or regional, information, respectively. We demonstrate through extensive simulations that BeeHive achieves a similar or better performance compared to state-of-the-art algorithms.

Another bee-inspired stigmergic computational technique called bee colony optimization is employed in Internet Server Optimization. [36] [37]

The Zigbee RF protocol is named after the waggle dance.

See also

Related Research Articles

<span class="mw-page-title-main">Honey bee</span> Colonial flying insect of genus Apis

A honey bee is a eusocial flying insect within the genus Apis of the bee clade, all native to mainland Afro-Eurasia. After bees spread naturally throughout Africa and Eurasia, humans became responsible for the current cosmopolitan distribution of honey bees, introducing multiple subspecies into South America, North America, and Australia.

<span class="mw-page-title-main">Bee learning and communication</span> Cognitive and sensory processes in bees

Bee learning and communication includes cognitive and sensory processes in all kinds of bees, that is the insects in the seven families making up the clade Anthophila. Some species have been studied more extensively than others, in particular Apis mellifera, or European honey bee. Color learning has also been studied in bumblebees.

<span class="mw-page-title-main">Worker bee</span> Caste of honey bee

A worker bee is any female bee that lacks the reproductive capacity of the colony's queen bee and carries out the majority of tasks needed for the functioning of the hive. While worker bees are present in all eusocial bee species, the term is rarely used for bees other than honey bees, particularly the European honey bee. Worker bees of this variety are responsible for approximately 80% of the world's crop pollination services.

<span class="mw-page-title-main">Swarming (honey bee)</span> Reproduction method of honeybee colonies

Swarming is a honey bee colony's natural means of reproduction. In the process of swarming, a single colony splits into two or more distinct colonies.

<span class="mw-page-title-main">Stingless bee</span> Bee tribe, reduced stingers, strong bites

Stingless bees (SB), sometimes called stingless honey bees or simply meliponines, are a large group of bees (from about 462 to 552 described species), comprising the tribe Meliponini (or subtribe Meliponina according to other authors). They belong in the family Apidae (subfamily Apinae), and are closely related to common honey bees (HB, tribe Apini), orchid bees (tribe Euglossini), and bumblebees (tribe Bombini). These four bee tribes belong to the corbiculate bees monophyletic group. Meliponines have stingers, but they are highly reduced and cannot be used for defense, though these bees exhibit other defensive behaviors and mechanisms. Meliponines are not the only type of bee incapable of stinging: all male bees and many female bees of several other families, such as Andrenidae and Megachilidae (tribe Dioxyini), also cannot sting.

<i>Apis florea</i> Species of bee

The dwarf honey bee, Apis florea, is one of two species of small, wild honey bees of southern and southeastern Asia. It has a much wider distribution than its sister species, Apis andreniformis. First identified in the late 18th century, Apis florea is unique for its morphology, foraging behavior and defensive mechanisms like making a piping noise. Apis florea have open nests and small colonies, which makes them more susceptible to predation than cavity nesters with large numbers of defensive workers. These honey bees are important pollinators and therefore commodified in countries like Cambodia.

<span class="mw-page-title-main">Round dance (honey bee)</span> Honeybee behavior

A round dance is the communicative behaviour of a foraging honey bee, in which it moves on the comb in close circles, alternating right and then left. It was previously believed that the round dance indicates that the forager has located a profitable food source close to the hive and the round dance transitions into the waggle dance when food sources are more than 50 meters (160 ft) away. Recent research shows that bees have only one dance that always encodes distance and direction to the food source, but that precision and expression of this information depends on the distance to the target; therefore, the use of "round dance" is outdated. Elements of the round dance also provide information regarding the forager's subjective evaluation of the food source's profitability.

<span class="mw-page-title-main">Cape honey bee</span> Subspecies of honey bee

The Cape honey bee or Cape bee is a southern South African subspecies of the western honey bee. They play a major role in South African agriculture and the economy of the Western Cape by pollinating crops and producing honey in the Western Cape region of South Africa. The species is endemic to the Western Cape region of South Africa on the coastal side of the Cape Fold mountain range.

<i>Apis andreniformis</i> Species of bee

Apis andreniformis, or the black dwarf honey bee, is a relatively rare species of honey bee whose native habitat is the tropical and subtropical regions of Southeast Asia.

<i>Apis nigrocincta</i> Species of bee

Apis nigrocincta is a species of honey bee that inhabits the Philippine island of Mindanao as well as the Indonesian islands of Sangihe and Sulawesi. The species is known to have queens with the highest mating frequencies of any species of the tribe Apini.

<i>Apis dorsata</i> Species of insect

Apis dorsata, the rock bee or giant honey bee, is a honey bee of South and Southeast Asia. They are typically around 17–20 mm (0.7–0.8 in) long and nests are mainly built in exposed places far off the ground, like on tree limbs, under cliff overhangs, and under buildings. These social bees are known for their aggressive defense strategies and vicious behavior when disturbed. Though not domesticated, indigenous peoples have traditionally used this species as a source of honey and beeswax, a practice known as honey hunting.

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<span class="mw-page-title-main">East African lowland honey bee</span> Subspecies of honey bee native to Africa

The East African lowland honey bee is a subspecies of the western honey bee. It is native to central, southern and eastern Africa, though at the southern extreme it is replaced by the Cape honey bee. This subspecies has been determined to constitute one part of the ancestry of the Africanized bees spreading through North and South America.

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<span class="mw-page-title-main">Western honey bee</span> European honey bee

The western honey bee or European honey bee is the most common of the 7–12 species of honey bees worldwide. The genus name Apis is Latin for "bee", and mellifera is the Latin for "honey-bearing" or "honey carrying", referring to the species' production of honey.

<i>Apis cerana indica</i> Subspecies of bee

Apis cerana indica, the Indian honey bee, is a subspecies of Asiatic honey bee. It is one of the predominant bees found and domesticated in India, Pakistan, Nepal, Myanmar, Bangladesh, Sri Lanka, Thailand and mainland Asia. Relatively non-aggressive and rarely exhibiting swarming behavior, it is ideal for beekeeping.

<i>Apis cerana japonica</i> Subspecies of bee

Apis cerana japonica is a subspecies of the eastern honeybee native to Japan. It is commonly known as the Japanese honeybee. Analysis of mitochondrial DNA suggests that the ancestors of this subspecies came to Japan from the Korean Peninsula via Tsushima Island. Genetic differentiation between Japanese honeybees and Korean honeybees occurred about 20,000 years ago, which coincides with the separation of Japan's Tsushima Island from the Korean Peninsula due to sea level rise. They have been observed moving into urban areas in the absence of natural predators.

<i>Apis cerana</i> Species of insect

Apis cerana, the eastern honey bee, Asiatic honey bee or Asian honey bee, is a species of honey bee native to South, Southeast and East Asia. This species is the sister species of Apis koschevnikovi and both are in the same subgenus as the western (European) honey bee, Apis mellifera. A. cerana is known to live sympatrically along with Apis koschevnikovi within the same geographic location. Apis cerana colonies are known for building nests consisting of multiple combs in cavities containing a small entrance, presumably for defense against invasion by individuals of another nest. The diet of this honey bee species consists mostly of pollen and nectar, or honey. Moreover, Apis cerana is known for its highly social behavior, reflective of its classification as a type of honey bee.

<span class="mw-page-title-main">Bumblebee communication</span>

Bumblebees, like the honeybee collect nectar and pollen from flowers and store them for food. Many individuals must be recruited to forage for food to provide for the hive. Some bee species have highly developed ways of communicating with each other about the location and quality of food resources ranging from physical to chemical displays.

<i>Tetragonisca angustula</i> Species of bee

Tetragonisca angustula is a small eusocial stingless bee found in México, Central and South America. It is known by a variety of names in different regions. A subspecies, Tetragonisca angustula fiebrigi, occupies different areas in South America and has a slightly different coloration.

References

  1. 1 2 3 Riley JR, Greggers U, Smith AD, Reynolds DR, Menzel R (May 2005). "The flight paths of honeybees recruited by the waggle dance". Nature. 435 (7039): 205–7. Bibcode:2005Natur.435..205R. doi:10.1038/nature03526. PMID   15889092. S2CID   4413962.
  2. Seeley TD, Visscher PK, Passino KM (2006). "Group decision making in honey bee swarms". American Scientist. 94 (3): 220–229. doi:10.1511/2006.3.220.
  3. 1 2 Rinderer TE, Beaman LD (October 1995). "Genic control of honey bee dance language dialect". Theoretical and Applied Genetics. 91 (5): 727–32. doi:10.1007/bf00220950. PMID   24169907. S2CID   31542946.
  4. 1 2 3 4 5 6 Grüter C, Farina WM (May 2009). "The honeybee waggle dance: can we follow the steps?". Trends in Ecology & Evolution. 24 (5): 242–7. doi:10.1016/j.tree.2008.12.007. PMID   19307042.
  5. Gardner KE, Seeley TD, Calderone NW (2008-04-01). "Do honeybees have two discrete dances to advertise food sources?". Animal Behaviour. 75 (4): 1291–1300. doi:10.1016/j.anbehav.2007.09.032. S2CID   15037480.
  6. 1 2 3 von Frisch K (1967). The Dance Language and Orientation of Bees. Cambridge, Mass.: The Belknap Press of Harvard University Press.
  7. Thom, Corinna; Gilley, David C; Hooper, Judith; Esch, Harald E (2007-08-21). "The Scent of the Waggle Dance". PLOS Biology. 5 (9). Public Library of Science (PLoS): e228. doi: 10.1371/journal.pbio.0050228 . ISSN   1545-7885. PMC   1994260 . PMID   17713987. S2CID   5074838.
     Sumpter, David J. T. (2010-12-31). Collective Animal Behavior. Princeton: Princeton University Press. p. 208. doi:10.1515/9781400837106. ISBN   978-1-4008-3710-6. S2CID   83302808.
     Wyatt, Tristram D. (2014). Pheromones and animal behavior: chemical signals and signatures. Cambridge. ISBN   978-0-521-11290-1. OCLC   841556719.{{cite book}}: CS1 maint: location missing publisher (link)
  8. "The Waggle Dance". www.pbs.org. 8 November 2012. Retrieved 2016-01-27.
  9. Radloff SE, Hepburn HR, Engel MS (2011). Honeybees of Asia. Berlin: Springer Science & Business Media. ISBN   978-3642164217.
  10. Raffiudin R, Crozier RH (May 2007). "Phylogenetic analysis of honey bee behavioral evolution". Molecular Phylogenetics and Evolution. 43 (2): 543–52. doi:10.1016/j.ympev.2006.10.013. PMID   17123837.
  11. Bozic J, Abramson CI, Bedencic M (April 2006). "Reduced ability of ethanol drinkers for social communication in honeybees (Apis mellifera carnica Poll.)". Alcohol. 38 (3): 179–83. doi:10.1016/j.alcohol.2006.01.005. PMID   16905444.
  12. Walker M (31 July 2009). "Honeybees warn of Risky Flowers". BBC Earth News. Retrieved 18 January 2010.
  13. Abbott KR, Dukas R (2009). "Honeybees consider flower danger in their waggle dance". Animal Behaviour. 78 (3): 633–635. doi:10.1016/j.anbehav.2009.05.029. S2CID   1148959.
  14. Aristotle (1910). "Historia animalium, IX, 40, Becker 624b;". The Works of Aristotle. Translated by Thompson D. Clarendon, Oxford.
  15. Tautz J (2008). The Buzz about Bees - Biology of a Superorganism (photos by H. R. Heilmann). Heidelberg & Berlin: Springer. p. 112.
  16. Greggers U, Koch G, Schmidt V, Dürr A, Floriou-Servou A, Piepenbrock D, et al. (May 2013). "Reception and learning of electric fields in bees". Proceedings. Biological Sciences. 280 (1759): 20130528. doi:10.1098/rspb.2013.0528. PMC   3619523 . PMID   23536603.
  17. 1 2 3 Grüter C, Balbuena MS, Farina WM (June 2008). "Informational conflicts created by the waggle dance". Proceedings. Biological Sciences. 275 (1640): 1321–7. doi:10.1098/rspb.2008.0186. PMC   2602683 . PMID   18331980.
  18. Kirchner W (1993). "Acoustic signals in the dance language of the giant honeybee, Apis dorsata". Behavioral Ecology and Sociobiology. 33 (2): 67–72. doi:10.1007/bf00171657. S2CID   12928046.
  19. de Saussure F (1916). "Nature of the Linguistics Sign". In Bally C, Sechehaye A (eds.). Cours de linguistique générale. McGraw Hill Education.
  20. 1 2 Dornhaus A, Chittka L (2004). "Why do honey bees dance?". Behavioral Ecology and Sociobiology. 55 (4): 395–401. doi:10.1007/s00265-003-0726-9. S2CID   8718760.
  21. 1 2 3 Grüter C, Balbuena MS, Farina WM (June 2008). "Informational conflicts created by the waggle dance". Proceedings. Biological Sciences. 275 (1640): 1321–1327. doi:10.1098/rspb.2008.0186. PMC   2602683 . PMID   18331980.
  22. Al Toufailia H, Gruter C, Ratnieks FL (2013). "Persistence to unrewarding feeding locations by honeybee foragers (Apis mellifera): the effects of experience, resource profitability and season". Ethology. 119 (12): 1096–1106. Bibcode:2013Ethol.119.1096A. doi:10.1111/eth.12170. S2CID   49361229.
  23. Gruter C, Ratnieks FL (2011). "Honeybee foragers increase the use of waggle dance information when private information becomes unrewarding". Animal Behaviour. 81 (5): 949–954. doi:10.1016/j.anbehav.2011.01.014. S2CID   49422344.
  24. Grüter C, Ratnieks FL (2011-05-01). "Honeybee foragers increase the use of waggle dance information when private information becomes unrewarding". Animal Behaviour. 81 (5): 949–954. doi:10.1016/j.anbehav.2011.01.014. ISSN   0003-3472. S2CID   49422344.
  25. Dornhaus A, Chittka L (2004-02-01). "Why do honey bees dance?". Behavioral Ecology and Sociobiology. 55 (4): 395–401. doi:10.1007/s00265-003-0726-9. ISSN   0340-5443. S2CID   8718760.
  26. Beekman M, Lew JB (March 2008). "Foraging in honeybees—when does it pay to dance?". Behavioral Ecology. 19 (2): 255–261. doi: 10.1093/beheco/arm117 . ISSN   1465-7279.
  27. Al Toufailia H, Grüter C, Ratnieks FL (December 2013). Herberstein M (ed.). "Persistence to Unrewarding Feeding Locations by Honeybee Foragers ( Apis mellifera ): the Effects of Experience, Resource Profitability and Season". Ethology. 119 (12): 1096–1106. Bibcode:2013Ethol.119.1096A. doi:10.1111/eth.12170. S2CID   49361229.
  28. Dyer FC (January 2002). "The biology of the dance language". Annual Review of Entomology. 47 (1): 917–949. doi:10.1146/annurev.ento.47.091201.145306. PMID   11729095.
  29. Lindauer M (1961). Communication Among Social Bees. Cambridge: Harvard University Press. ISBN   978-0674147850.
  30. Barron AB, Plath JA (2017). "The evolution of honey bee dance communication: A mechanistic perspective". The Company of Biologists. 220 (23): 4339–4346. doi: 10.1242/jeb.142778 . PMID   29187616. S2CID   45799164 . Retrieved 2021-04-11.
  31. Gould JL, Towne WF (1989). "On the Evolution of the Dance Language: Response to Dyer and Seeley". American Naturalist. 134 (1): 156–159. doi:10.1086/284972. JSTOR   2462282. S2CID   85233106.
  32. Dyer FC, Seeley TD (1991). "Dance Dialects and Foraging Range in Three Asian Honey Bee Species". Behavioral Ecology and Sociobiology. 28 (4): 227–233. doi:10.1007/BF00175094. JSTOR   4600541. S2CID   23263610.
  33. Su S, Cai F, Si A, Zhang S, Tautz J, Chen S (June 2008). Giurfa M (ed.). "East learns from West: Asiatic honeybees can understand dance language of European honeybees". PLOS ONE. 3 (6): e2365. Bibcode:2008PLoSO...3.2365S. doi: 10.1371/journal.pone.0002365 . PMC   2391287 . PMID   18523550.
  34. Crina G, Ajith A (2006). "Stigmergic Optimization: Inspiration, Technologies and Perspectives". Studies in Computational Intelligence. 31. Heidelberg: Springer Berlin: 1–24. ISBN   978-3-540-34689-0.
  35. Wedde HF, Farooq M, Pannenbaecker T, Vogel B, Mueller C, Meth J, Jeruschkat R (2005). "BeeAdHoc". Proceedings of the 2005 conference on Genetic and evolutionary computation - GECCO '05. pp. 153–160. doi:10.1145/1068009.1068034. ISBN   978-1595930101. S2CID   6547119.
  36. Nakrani S, Tovey C (2004). "On Honey Bees and Dynamic Server Allocation in Internet Hosting Centers". Adaptive Behavior. 12 (3–4): 223–240. CiteSeerX   10.1.1.115.3457 . doi:10.1177/105971230401200308. S2CID   18435381.
  37. Tovey C (Spring 2004). "The Honey Bee Algorithm: A Biological Inspired Approach to Internet Server Optimization". Engineering Enterprise: 13–15.

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