Ontology type: schema:ScholarlyArticle
1982-07
AUTHORSD. W. Stephens, Eric L. Charnov
ABSTRACTSome simple stochastic models of optimal foraging are considered. Firstly, mathematical renewal theory is used to make a general model of the combined processes of search, encounter, capture and handling. In the case where patches or prey items are encountered according to a Poisson process the limiting probability distribution of energy gain is found. This distribution is found to be normal and its mean and variance are specified. This result supports the use of Holling's disc equation to specify the rate of energy intake in foraging models. Secondly, a model based on minimization of the probability of death due to an energetic shortfall is presented. The model gives a graphical solution to the problem of optimal choices when mean and variance are related. Thirdly, a worked example using these results is presented. This example suggests that there may be natural relationships between mean and variance which make solutions to the problems of ‘energy maximization’ and ‘minimization of the probability of starvation’ similar. Finally, current trends in stochastic modeling of foraging behavior are critically discussed. More... »
PAGES251-263
http://scigraph.springernature.com/pub.10.1007/bf00302814
DOIhttp://dx.doi.org/10.1007/bf00302814
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1002704188
JSON-LD is the canonical representation for SciGraph data.
TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT
[
{
"@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json",
"about": [
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0104",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Statistics",
"type": "DefinedTerm"
},
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Mathematical Sciences",
"type": "DefinedTerm"
}
],
"author": [
{
"affiliation": {
"name": [
"Department of Zoology, Edward Grey Institute, South Parks Road, OX1 3PS, Oxford, England"
],
"type": "Organization"
},
"familyName": "Stephens",
"givenName": "D. W.",
"id": "sg:person.01057326225.19",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01057326225.19"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "University of Utah",
"id": "https://www.grid.ac/institutes/grid.223827.e",
"name": [
"Department of Biology, University of Utah, 84112, Salt Lake City, Utah, USA"
],
"type": "Organization"
},
"familyName": "Charnov",
"givenName": "Eric L.",
"id": "sg:person.0705337670.43",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0705337670.43"
],
"type": "Person"
}
],
"citation": [
{
"id": "https://doi.org/10.1016/s0003-3472(81)80011-5",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1000733648"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/s0003-3472(80)80142-4",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1002813698"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0040-5809(80)90051-9",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1005442687"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0040-5809(82)90018-1",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1016928117"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1901/jeab.1964.7-179",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1023124889"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1901/jeab.1964.7-179",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1023124889"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0040-5809(79)90032-7",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1028376538"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0003-3472(77)90064-1",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1029485360"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/s0003-3472(81)80128-5",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1030226748"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf00299833",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1039227116",
"https://doi.org/10.1007/bf00299833"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf00299833",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1039227116",
"https://doi.org/10.1007/bf00299833"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0040-5809(76)90040-x",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1042594464"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.2307/1940354",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1044466908"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1037/h0044878",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1045372639"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1146/annurev.es.02.110171.002101",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1046865784"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1098/rspa.1955.0198",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1048554076"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1037/h0048566",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1049941058"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.4039/ent91385-7",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1050737937"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/b978-0-12-662650-6.50008-8",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1051729639"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1086/282602",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1058592725"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1086/282885",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1058593008"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1086/283054",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1058593177"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1086/283588",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1058593711"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1086/283719",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1058593842"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1086/283754",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1058593877"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1086/283962",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1058594085"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1086/283963",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1058594086"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1086/409852",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1058700903"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1093/biomet/58.1.61",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1059418001"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.2307/1907921",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1069637200"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.2307/1936663",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1069660694"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.2307/1937162",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1069661162"
],
"type": "CreativeWork"
}
],
"datePublished": "1982-07",
"datePublishedReg": "1982-07-01",
"description": "Some simple stochastic models of optimal foraging are considered. Firstly, mathematical renewal theory is used to make a general model of the combined processes of search, encounter, capture and handling. In the case where patches or prey items are encountered according to a Poisson process the limiting probability distribution of energy gain is found. This distribution is found to be normal and its mean and variance are specified. This result supports the use of Holling's disc equation to specify the rate of energy intake in foraging models. Secondly, a model based on minimization of the probability of death due to an energetic shortfall is presented. The model gives a graphical solution to the problem of optimal choices when mean and variance are related. Thirdly, a worked example using these results is presented. This example suggests that there may be natural relationships between mean and variance which make solutions to the problems of \u2018energy maximization\u2019 and \u2018minimization of the probability of starvation\u2019 similar. Finally, current trends in stochastic modeling of foraging behavior are critically discussed.",
"genre": "research_article",
"id": "sg:pub.10.1007/bf00302814",
"inLanguage": [
"en"
],
"isAccessibleForFree": false,
"isPartOf": [
{
"id": "sg:journal.1085476",
"issn": [
"0340-5443",
"1432-0762"
],
"name": "Behavioral Ecology and Sociobiology",
"type": "Periodical"
},
{
"issueNumber": "4",
"type": "PublicationIssue"
},
{
"type": "PublicationVolume",
"volumeNumber": "10"
}
],
"name": "Optimal foraging: Some simple stochastic models",
"pagination": "251-263",
"productId": [
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1007/bf00302814"
]
},
{
"name": "readcube_id",
"type": "PropertyValue",
"value": [
"0ce011f0521b14751201aef33f249849b22359fc3048b0bf6c3ff2e2591034f6"
]
},
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1002704188"
]
}
],
"sameAs": [
"https://doi.org/10.1007/bf00302814",
"https://app.dimensions.ai/details/publication/pub.1002704188"
],
"sdDataset": "articles",
"sdDatePublished": "2019-04-15T08:49",
"sdLicense": "https://scigraph.springernature.com/explorer/license/",
"sdPublisher": {
"name": "Springer Nature - SN SciGraph project",
"type": "Organization"
},
"sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000374_0000000374/records_119724_00000000.jsonl",
"type": "ScholarlyArticle",
"url": "http://link.springer.com/10.1007/BF00302814"
}
]
Download the RDF metadata as: json-ld nt turtle xml License info
JSON-LD is a popular format for linked data which is fully compatible with JSON.
curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/bf00302814'
N-Triples is a line-based linked data format ideal for batch operations.
curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/bf00302814'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf00302814'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf00302814'
This table displays all metadata directly associated to this object as RDF triples.
161 TRIPLES
21 PREDICATES
57 URIs
19 LITERALS
7 BLANK NODES