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	Author	Agrillo, C.; Dadda, M.; Bisazza, A.
	Title	Quantity discrimination in female mosquitofish			Type	Journal Article
	Year	2007	Publication	Animal cognition	Abbreviated Journal	Anim. Cogn.
	Volume	10	Issue	1	Pages	63-70
	Keywords	Animals; Cognition; Cyprinodontiformes; Discrimination Learning; Female; Male; Mathematics; *Pattern Recognition, Visual
	Abstract	The ability in animals to count and represent different numbers of objects has received a great deal of attention in the past few decades. Cumulative evidence from comparative studies on number discriminations report obvious analogies among human babies, non-human primates and birds and are consistent with the hypothesis of two distinct and widespread mechanisms, one for counting small numbers (<4) precisely, and one for quantifying large numbers approximately. We investigated the ability to discriminate among different numerosities, in a distantly related species, the mosquitofish, by using the spontaneous choice of a gravid female to join large groups of females as protection from a sexually harassing male. In one experiment, we found that females were able to discriminate between two shoals with a 1:2 numerosity ratio (2 vs. 4, 4 vs. 8 and 8 vs. 16 fish) but failed to discriminate a 2:3 ratio (8 vs. 12 fish). In the second experiment, we studied the ability to discriminate between shoals that differed by one element; females were able to select the larger shoal when the paired numbers were 2 vs. 3 or 3 vs. 4 but not 4 vs. 5 or 5 vs. 6. Our study indicates that numerical abilities in fish are comparable with those of other non-verbal creatures studied; results are in agreement with the hypothesis of the existence of two distinct systems for quantity discrimination in vertebrates.
	Address	Department of General Psychology, University of Padova, via Venezia 8, 35131, Padova, Italy. christian.agrillo@unipd.it
	Corporate Author				Thesis
	Publisher		Place of Publication		Editor
	Language	English	Summary Language		Original Title
	Series Editor		Series Title		Abbreviated Series Title
	Series Volume		Series Issue		Edition
	ISSN	1435-9448	ISBN		Medium
	Area		Expedition		Conference
	Notes	PMID:16868736			Approved	no
	Call Number	refbase @ user @			Serial	339
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	Author	Jones, J.E.; Antoniadis, E.; Shettleworth, S.J.; Kamil, A.C.
	Title	A comparative study of geometric rule learning by nutcrackers (Nucifraga columbiana), pigeons (Columba livia), and jackdaws (Corvus monedula)			Type	Journal Article
	Year	2002	Publication	Journal of comparative psychology (Washington, D.C. : 1983)	Abbreviated Journal	J Comp Psychol
	Volume	116	Issue	4	Pages	350-356
	Keywords	Animals; Behavior, Animal/physiology; Birds; Feeding Behavior/physiology; Learning/physiology; Mathematics; Random Allocation; Spatial Behavior/*physiology
	Abstract	Three avian species, a seed-caching corvid (Clark's nutcrackers; Nucifraga columbiana), a non-seed-caching corvid (jackdaws; Corvus monedula), and a non-seed-caching columbid (pigeons; Columba livia), were tested for ability to learn to find a goal halfway between 2 landmarks when distance between the landmarks varied during training. All 3 species learned, but jackdaws took much longer than either pigeons or nutcrackers. The nutcrackers searched more accurately than either pigeons or jackdaws. Both nutcrackers and pigeons showed good transfer to novel landmark arrays in which interlandmark distances were novel, but inconclusive results were obtained from jackdaws. Species differences in this spatial task appear quantitative rather than qualitative and are associated with differences in natural history rather than phylogeny.
	Address	School of Biological Sciences, University of Nebraska-Lincoln, 68588-0118, USA
	Corporate Author				Thesis
	Publisher		Place of Publication		Editor
	Language	English	Summary Language		Original Title
	Series Editor		Series Title		Abbreviated Series Title
	Series Volume		Series Issue		Edition
	ISSN	0735-7036	ISBN		Medium
	Area		Expedition		Conference
	Notes	PMID:12539930			Approved	no
	Call Number	refbase @ user @			Serial	369
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	Author	Brannon, E.M.; Terrace, H.S.
	Title	Ordering of the numerosities 1 to 9 by monkeys			Type	Journal Article
	Year	1998	Publication	Science (New York, N.Y.)	Abbreviated Journal	Science
	Volume	282	Issue	5389	Pages	746-749
	Keywords	Animals; Discrimination (Psychology); Macaca mulatta/psychology; Mathematics; Mental Processes
	Abstract	A fundamental question in cognitive science is whether animals can represent numerosity (a property of a stimulus that is defined by the number of discriminable elements it contains) and use numerical representations computationally. Here, it was shown that rhesus monkeys represent the numerosity of visual stimuli and detect their ordinal disparity. Two monkeys were first trained to respond to exemplars of the numerosities 1 to 4 in an ascending numerical order (1 --> 2 --> 3 --> 4). As a control for non-numerical cues, exemplars were varied with respect to size, shape, and color. The monkeys were later tested, without reward, on their ability to order stimulus pairs composed of the novel numerosities 5 to 9. Both monkeys responded in an ascending order to the novel numerosities. These results show that rhesus monkeys represent the numerosities 1 to 9 on an ordinal scale.
	Address	Department of Psychology, Columbia University, New York, NY 10027, USA. liz@psych.columbia.edu
	Corporate Author				Thesis
	Publisher		Place of Publication		Editor
	Language	English	Summary Language		Original Title
	Series Editor		Series Title		Abbreviated Series Title
	Series Volume		Series Issue		Edition
	ISSN	0036-8075	ISBN		Medium
	Area		Expedition		Conference
	Notes	PMID:9784133			Approved	no
	Call Number	refbase @ user @			Serial	606
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	Author	Staniar, W.B.; Kronfeld, D.S.; Hoffman, R.M.; Wilson, J.A.; Harris, P.A.
	Title	Weight prediction from linear measures of growing Thoroughbreds			Type	Journal Article
	Year	2004	Publication	Equine veterinary journal	Abbreviated Journal	Equine Vet J
	Volume	36	Issue	2	Pages	149-154
	Keywords	Animal Nutrition Physiology; Animals; Biometry; Body Weight/physiology; Female; Horses/anatomy & histology/*growth & development; Male; Mathematics; Predictive Value of Tests; Reproducibility of Results; Sensitivity and Specificity
	Abstract	REASON FOR PERFORMING STUDY: Monitoring weight of foals is a useful management practice to aid in maximising athletic potential while minimising risks associated with deviations from normal growth. OBJECTIVE: To develop predictive equations for weight, based on linear measurements of growing Thoroughbreds (TBs). METHODS: Morphometric equations predicting weight from measurements of the trunk and legs were developed from data of 153 foals. The accuracy, precision and bias of the best fitting equation were compared to published equations using a naive data set of 22 foals. RESULTS: Accuracy and precision were maximised with a broken line relating calculated volumes (V(t + l)) to measured weights. Use of the broken line is a 2 step process. V(t + l) is calculated from linear measures (m) of girth (G), carpus circumference (C), and length of body (B) and left forelimb (F). V(t + I) = ([G2 x B] + 4[C2 x F]) 4pi. If V(t + l) < 0.27 m3, weight is estimated: Weight (kg) = V(t + l) x 1093. If V(t + l) > or = 0.27 m3: Weight (kg) = V(t + l) x 984 + 24. The broken line was more accurate and precise than 3 published equations predicting the weight of young TBs. CONCLUSIONS: Estimation of weight using morphometric equations requires attention to temporal changes in body shape and density; hence, a broken line is needed. Including calculated leg volume in the broken line model is another contributing factor to improvement in predictive capability. POTENTIAL RELEVANCE: The broken line maximises its value to equine professionals through its accuracy, precision and convenience.
	Address	Department of Animal and Poultry Sciences, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-0306, USA
	Corporate Author				Thesis
	Publisher		Place of Publication		Editor
	Language	English	Summary Language		Original Title
	Series Editor		Series Title		Abbreviated Series Title
	Series Volume		Series Issue		Edition
	ISSN	0425-1644	ISBN		Medium
	Area		Expedition		Conference
	Notes	PMID:15038438			Approved	no
	Call Number				Serial	1806
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	Author	Pepperberg, I.M.
	Title	Grey parrot numerical competence: a review			Type	Journal Article
	Year	2006	Publication	Animal Cognition	Abbreviated Journal	Anim. Cogn.
	Volume	9	Issue	4	Pages	377-391
	Keywords	Animals; Behavior, Animal; Comprehension; Concept Formation; Mathematics; *Parrots
	Abstract	The extent to which humans and nonhumans share numerical competency is a matter of debate. Some researchers argue that nonhumans, lacking human language, possess only a simple understanding of small quantities, generally less than four. Animals that have, however, received some training in human communication systems might demonstrate abilities intermediate between those of untrained nonhumans and humans. Here I review data for a Grey parrot (Psittacus erithacus) that has been shown to quantify sets of up to and including six items (including heterogeneous subsets) using vocal English labels, to comprehend these labels fully, and to have a zero-like concept. Recent research demonstrates that he can also sum small quantities. His success shows that he understands number symbols as abstract representations of real-world collections, and that his sense of number compares favorably to that of chimpanzees and young human children.
	Address	Department of Psychology, Brandeis University, Waltham, MA 02454, USA
	Corporate Author				Thesis
	Publisher		Place of Publication		Editor
	Language	English	Summary Language		Original Title
	Series Editor		Series Title		Abbreviated Series Title
	Series Volume		Series Issue		Edition
	ISSN	1435-9448	ISBN		Medium
	Area		Expedition		Conference
	Notes	PMID:16909236			Approved	no
	Call Number	Equine Behaviour @ team @			Serial	2448
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	Author	Beran, M.J.
	Title	Rhesus monkeys (Macaca mulatta) succeed on a computerized test designed to assess conservation of discrete quantity			Type	Journal Article
	Year	2007	Publication	Animal Cognition	Abbreviated Journal	Anim. Cogn.
	Volume	10	Issue	1	Pages	37-45
	Keywords	Animals; Cognition; Judgment; Macaca mulatta/psychology; Male; Mathematics; Pattern Recognition, Visual; Uncertainty
	Abstract	Conservation of quantity occurs through recognition that changes in the physical arrangement of a set of items do not change the quantity of items in that set. Rhesus monkeys (Macaca mulatta) were presented with a computerized quantity judgment task. Monkeys were rewarded for selecting the greater quantity of items in one of two horizontal arrays of items on the screen. On some trials, after a correct selection, no reward was given but one of the arrays was manipulated. In some cases, this manipulation involved moving items closer together or farther apart to change the physical arrangement of the array without changing the quantity of items in the array. In other cases, additional items were added to the initially smaller array so that it became quantitatively larger. Monkeys then made another selection from the two rows of items. Monkeys were sensitive to these manipulations, changing their selections when the number of items in the rows changed but not when the arrangement only was changed. Therefore, monkeys responded on the basis of the quantity of items, and they were not distracted by non-quantitative manipulations of the sets.
	Address	Language Research Center, Georgia State University, 3401 Panthersville Road, Decatur, GA 30034, USA. mjberan@yahoo.com
	Corporate Author				Thesis
	Publisher		Place of Publication		Editor
	Language	English	Summary Language		Original Title
	Series Editor		Series Title		Abbreviated Series Title
	Series Volume		Series Issue		Edition
	ISSN	1435-9448	ISBN		Medium
	Area		Expedition		Conference
	Notes	PMID:16868737			Approved	no
	Call Number	Equine Behaviour @ team @			Serial	2455
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	Author	Jordan, K.E.; Brannon, E.M.
	Title	Weber's Law influences numerical representations in rhesus macaques (Macaca mulatta)			Type	Journal Article
	Year	2006	Publication	Animal Cognition	Abbreviated Journal	Anim. Cogn.
	Volume	9	Issue	3	Pages	159-172
	Keywords	Animals; Attention; Discrimination (Psychology); Female; Macaca mulatta/psychology; Mathematics; Pattern Recognition, Visual; Perceptual Masking; *Problem Solving; Psychological Theory; Psychometrics
	Abstract	We present the results of two experiments that probe the ability of rhesus macaques to match visual arrays based on number. Three monkeys were first trained on a delayed match-to-sample paradigm (DMTS) to match stimuli on the basis of number and ignore continuous dimensions such as element size, cumulative surface area, and density. Monkeys were then tested in a numerical bisection experiment that required them to indicate whether a sample numerosity was closer to a small or large anchor value. Results indicated that, for two sets of anchor values with the same ratio, the probability of choosing the larger anchor value systematically increased with the sample number and the psychometric functions superimposed. A second experiment employed a numerical DMTS task in which the choice values contained an exact numerical match to the sample and a distracter that varied in number. Both accuracy and reaction time were modulated by the ratio between the correct numerical match and the distracter, as predicted by Weber's Law.
	Address	Department of Psychological & Brain Sciences, Center for Cognitive Neuroscience, Duke University, Box 90999, Durham, NC 27708, USA
	Corporate Author				Thesis
	Publisher		Place of Publication		Editor
	Language	English	Summary Language		Original Title
	Series Editor		Series Title		Abbreviated Series Title
	Series Volume		Series Issue		Edition
	ISSN	1435-9448	ISBN		Medium
	Area		Expedition		Conference
	Notes	PMID:16575587			Approved	no
	Call Number	Equine Behaviour @ team @			Serial	2471
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	Author	Lewis, K.P.; Jaffe, S.; Brannon, E.M.
	Title	Analog number representations in mongoose lemurs (Eulemur mongoz): evidence from a search task			Type	Journal Article
	Year	2005	Publication	Animal Cognition	Abbreviated Journal	Anim. Cogn.
	Volume	8	Issue	4	Pages	247-252
	Keywords	Analysis of Variance; Animals; Behavior, Animal; Feeding Behavior; Female; Lemuridae/*psychology; Male; Mathematics; Odors; Smell/physiology; Time Factors
	Abstract	A wealth of data demonstrating that monkeys and apes represent number have been interpreted as suggesting that sensitivity to number emerged early in primate evolution, if not before. Here we examine the numerical capacities of the mongoose lemur (Eulemur mongoz), a member of the prosimian suborder of primates that split from the common ancestor of monkeys, apes and humans approximately 47-54 million years ago. Subjects observed as an experimenter sequentially placed grapes into an opaque bucket. On half of the trials the experimenter placed a subset of the grapes into a false bottom such that they were inaccessible to the lemur. The critical question was whether lemurs would spend more time searching the bucket when food should have remained in the bucket, compared to when they had retrieved all of the food. We found that the amount of time lemurs spent searching was indicative of whether grapes should have remained in the bucket, and furthermore that lemur search time reliably differentiated numerosities that differed by a 1:2 ratio, but not those that differed by a 2:3 or 3:4 ratio. Finally, two control conditions determined that lemurs represented the number of food items, and neither the odor of the grapes, nor the amount of grape (e.g., area) in the bucket. These results suggest that mongoose lemurs have numerical representations that are modulated by Weber's Law.
	Address	Department of Anthropology, Washington University, St. Louis, MO 63130-4899, USA
	Corporate Author				Thesis
	Publisher		Place of Publication		Editor
	Language	English	Summary Language		Original Title
	Series Editor		Series Title		Abbreviated Series Title
	Series Volume		Series Issue		Edition
	ISSN	1435-9448	ISBN		Medium
	Area		Expedition		Conference
	Notes	PMID:15660208			Approved	no
	Call Number	Equine Behaviour @ team @			Serial	2497
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	Author	Harris, E.H.; Washburn, D.A.
	Title	Macaques' (Macaca mulatta) use of numerical cues in maze trials			Type	Journal Article
	Year	2005	Publication	Animal Cognition	Abbreviated Journal	Anim. Cogn.
	Volume	8	Issue	3	Pages	190-199
	Keywords	Animals; Cues; Discrimination Learning; Macaca mulatta/psychology; Male; Mathematics; Maze Learning; *Pattern Recognition, Visual
	Abstract	We tested the ability of number-trained rhesus monkeys to use Arabic numeral cues to discriminate between different series of maze trials and anticipate the final trial in each series. The monkeys' prior experience with numerals also allowed us to investigate spontaneous transfer between series. A total of four monkeys were tested in two experiments. In both experiments, the monkeys were trained on a computerized task consisting of three reinforced maze trials followed by one nonreinforced trial. The goal of the maze was an Arabic numeral 3, which corresponded to the number of reinforced maze trials in the series. In experiment 1 (n=2), the monkeys were given probe trials of the numerals 2 and 4 and in experiment 2 (n=2), they were given probe trials of the numerals 2-8. The monkeys receiving the probe trials 2 and 4 showed some generalization to the new numerals and developed a pattern of performing more slowly on the nonreinforced trial than the reinforced trial before it for most series, indicating the use of the changing numeral cues to anticipate the nonreinforced trial. The monkeys receiving probe trials of the numerals 2-8 did not predict precisely when the nonreinforced trial would occur in each series, but they did incorporate the changing numerals into their strategy for performing the task. This study provides the first evidence that number-trained monkeys can use Arabic numerals to perform a task involving sequential presentations.
	Address	Georgia State University, Atlanta, GA, USA. eharris11@gsu
	Corporate Author				Thesis
	Publisher		Place of Publication		Editor
	Language	English	Summary Language		Original Title
	Series Editor		Series Title		Abbreviated Series Title
	Series Volume		Series Issue		Edition
	ISSN	1435-9448	ISBN		Medium
	Area		Expedition		Conference
	Notes	PMID:15654597			Approved	no
	Call Number	Equine Behaviour @ team @			Serial	2498
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	Author	Ferkin, M.H.; Pierce, A.A.; Sealand, R.O.; Delbarco-Trillo, J.
	Title	Meadow voles, Microtus pennsylvanicus, can distinguish more over-marks from fewer over-marks			Type	Journal Article
	Year	2005	Publication	Animal Cognition	Abbreviated Journal	Anim. Cogn.
	Volume	8	Issue	3	Pages	182-189
	Keywords	Animals; Arvicolinae/psychology; Discrimination Learning; Female; Intermediate Filament Proteins; Male; Mathematics; Sex Factors; *Smell
	Abstract	Is it possible that voles have a sense of number? To address this question, we determined whether voles discriminate between two different scent-marking individuals and identify the individual whose scent marks was on top more often than the other individual. We tested whether voles show a preference for the individual whose scent marks was on top most often. If so, the simplest explanation was that voles can make a relative size judgement-such as distinguishing an area containing more of one individual's over-marks as compared to less of another individual's over-marks. We found that voles respond preferentially to the donor that provided a greater number of over-marks as compared to the donor that provided a lesser number of over-marks. Thus, we concluded that voles might display the capacity for relative numerousness. Interestingly, female voles were better able than male voles to distinguish between small differences in the relative number of over-marks by the two scent donors.
	Address	Department of Biology, The University of Memphis, Ellington Hall, Memphis, TN 38152, USA. mhferkin@memphis.edu
	Corporate Author				Thesis
	Publisher		Place of Publication		Editor
	Language	English	Summary Language		Original Title
	Series Editor		Series Title		Abbreviated Series Title
	Series Volume		Series Issue		Edition
	ISSN	1435-9448	ISBN		Medium
	Area		Expedition		Conference
	Notes	PMID:15580367			Approved	no
	Call Number	Equine Behaviour @ team @			Serial	2501
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