Dynamic optimization over infinite-time horizon: Web-building strategy in an orb-weaving spider as a case study

Journal of Theoretical Biology

Volumn 241, Issue 4, 2006, Pages 725-733

  Venner, Samuel ^a   Chadès, Iadine ^b   Bel Venner, Marie Claude ^c   Pasquet, Alain ^c   Charpillet, François ^d   Leborgne, Raymond ^c  

^a UNIVERSITÉ LYON 1   (France)

^b CEMAGREF   (France)

^c UNIVERSITÉ DE LORRAINE   (France)

^d LORIA   (France)

Author keywords

Dynamic state variable model; Infinite horizon; Spider; State dependent horizon; Web building strategy

Indexed keywords

BODY MASS; HABITAT CREATION; HABITAT RELATED BEHAVIOR; OPTIMIZATION; PREDATION RISK; SPIDER; SPIDER WEB; TIME; WEIGHT;

ALGORITHM; ANIMAL BEHAVIOR; ARTICLE; ECOLOGY; ENERGY; EVOLUTION; MORTALITY; PREDATION; PREDICTION; PRIORITY JOURNAL; SPIDER; THEORETICAL MODEL; TIME SERIES ANALYSIS;

ALGORITHMS; ANIMALS; BEHAVIOR, ANIMAL; BODY WEIGHT; FEMALE; MODELS, BIOLOGICAL; PREDATORY BEHAVIOR; RISK ASSESSMENT; SPIDERS;

ARANEAE;

EID: 33746054893     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2006.01.008     Document Type: Article

References (45)

1. Bellman R. Dynamic Programming (1957), Princeton University Press, Princeton, NJ
2. Bertsekas D.P., and Tsitsiklis J.N. Neuro-Dynamic Programming (1996), Athena Scientific, Belmont, MA
3. Brodin A. Why do hoarding birds gain fat in winter in the wrong way? Suggestions from a dynamic model. Behav. Ecol. 11 (2000) 27-39
4. Cichon M. Diversity of age-specific reproductive rates may result from ageing and optimal resource allocation. J. Evol. Biol. 14 (2000) 180-185
5. Cichon M., and Kozlowski J. Ageing and typical survivorship curves result from optimal resource allocation. Evol. Ecol. Res. 2 (2000) 857-870
6. Clark C.W., and Mangel M. Dynamic State Variable Models in Ecology. Methods and Applications (2000), Oxford University Press, Oxford, UK
7. Eberhard W.G. Effects of orb-web geometry on prey interception and retention. In: Shear W.A. (Ed). Spiders: Webs, Behavior and Evolution (1986), Stanford University Press, Stanford 70-120
8. Feinberg E.A., and Schwartz A. Handbook of Markov Decision Processes: Methods and Applications (2002), Kluwer Academic Publishers, Boston, MA
9. Foelix R. Biology of Spiders (1996), Oxford University Press, New York
10. Halkett F., Harrington R., Hullé M., Kindlmann P., Menu F., Rispe C., and Plantegenest M. Dynamics of production of sexual forms in Aphids: theoretical and experimental evidence for adaptive "coin-flipping" plasticity. Am. Nat. 163 6 (2004) 112-125
11. Heiling A.M., and Herberstein M.E. The role of experience in web-building spiders (Araneidae) Anim. Cognition 2 (1999) 171-177
12. Heimpel G.E., Mangel M., and Rosenheim J.A. Effects of time limitation and egg limitation on lifetime reproductive success of parasitoid in the field. Am. Nat. 152 (1998) 273-289
13. Higgins L.E. Variation in foraging investment during the intermolt interval and before egg-laying in the spider Nephila clavipes (Araneae: Araneidae). J. Insect Behav. 3 (1990) 773-783
14. Higgins L.E. Direct evidence for the trade-offs between foraging and growth in a juvenile spider. J. Arachnol. 23 (1995) 37-43
15. Houston A.I., and McNamara J.M. Models of Adaptive Behavior: An Approach Based on State (1999), Cambridge University Press, Cambridge, UK
16. Houston A.I., Clark C.W., McNamara J.M., and Mangel M. Dynamic models in behavioral and evolutionary ecology. Nature 332 (1988) 29-34
17. Kaelbling L.P., Littman M.L., and Moore A.W. Reinforcement learning: a survey. J. Artif. Intell. Res. 4 (1996) 237-285
18. Kaelbling L.P., Littman M.L., and Cassandra A.R. Planning and acting in partially observable stochastic domains. Artif. Intell. 101 (1998) 99-134
19. Mangel M., and Clark C.W. Towards a unified foraging theory. Ecology 67 (1986) 1127-1138
20. Mangel M., and Clark C.W. Dynamic Modelling in Behavioral Ecology (1988), Princeton University Press, Princeton, NJ
21. McNamara J.M. Optimal life histories: a generalisation of the Perron-Frobenius Theorem. Theor. Popul. Theory 40 (1991) 230-245
22. McNamara J.M., and Houston A.I. The common currency for behavioral decisions. Am. Nat. 127 3 (1986) 358-378
23. McNamara J.M., and Houston A.I. State-dependent life histories. Nature 380 (1996) 215-221
24. McNamara J.M., Houston A.I., and Collins E.J. Optimality models in behavioral biology. SIAM Review 43 3 (2001) 413-466
25. McNamara J.M., Merad. S., and Houston A.I. A model of risk-sensitive foraging for a reproducing animal. Anim. Behav. 41 (1991) 787-792
26. McNamara J.M., Welham R.K., Houston A.I., Daan S., and Tinbergen J.M. The effects of background mortality on optimal reproduction in a seasonal environment. Theor. Popul. Biol. 65 (2004) 361-372
27. Pasquet A., Ridwan A., and Leborgne R. Presence of potential prey affects web-building in an orb-weaving spider Zygiella x-notata. Anim. Behav. 47 (1994) 477-480 10.1006/anbe.1994.1066
28. Pasquet A., Leborgne R., and Lubin Y. Previous foraging success influences web-building in the spider Stegodyphus lineatus (Eresidae). Behav. Ecol. 10 (1999) 115-121
29. Peakall D.B., and Witt P.N. The energy budget of an orb-weaving spider. Comp. Biochem. Physiol. A 54 1 (1976) 187-190
30. Pravosudov V.V., and Lucas J.R. Daily patterns of energy storage in food-caching birds under variable daily predation risk: a dynamic state variable model. Behav. Ecol. Sociobiol. 50 (2001) 239-250
31. Prestwich K.N. The energetics of web-building in spiders. Comp. Biochem. Physiol. A 57 3 (1977) 321-326 10.1016/0300-9629(77)90199-2
32. Puterman M.L. Markov Decision Processes. Discrete Stochastic Dynamic Programming (1994), Wiley, New York
33. Real L. Search theory and mate choice. I. Models of single-sex discrimination. Am. Nat. 136 3 (1990) 376-404
34. Real L. Search theory and mate choice. II. Mutual interaction, assortative mating, and equilibrium variation in male and female fitness. Am. Nat. 138 4 (1991) 901-917
35. Rogers L., and Sargent R.C. A dynamic model of size-dependent reproductive effort in a sequential hermaphrodite: a counterexample to Williams'conjecture. Am. Nat. 158 5 (2001) 543-552
36. Sherman P.M. The orb-web: an energetic and behavioural estimator of spider's dynamic foraging and reproductive strategies. Anim. Behav. 48 (1994) 19-34 10.1006/anbe.1994.1208
37. Skubic E., Taborsky M., McNamara J.M., and Houston A.I. When to parasitize? A dynamic optimization model of reproductive strategies in a cooperative breeder. J. Theor. Biol. 227 (2004) 487-501
38. Tanaka K. Energetic cost of web construction and its effect on web relocation in web-building spider Agelena limbata. Oecologia 81 (1989) 459-464
39. Venner, S., 2002. Stratégies comportementales et modèle d'optimisation dynamique a horizon non fini: succession des constructions de toiles chez une araignée orbitèle Zygiella x-notata (Clerck). Ph. D. Thesis, University Henri Poincaré Nancy.
40. Venner S., and Casas J. Spider webs designed for rare but life-saving catches. Proc. R. Soc. Lond. B 272 1572 (2005) 1587-1592
41. Venner S., Pasquet A., and Leborgne R. Web-building behavior in an orb-weaving spider Zygiella x-notata: influence of experience. Anim. Behav. 59 (2000) 603-611 10.1006/anbe.1999.1327
42. Venner S., Thevenard L., Pasquet A., and Leborgne R. Estimation of the web's capture thread length in orb-weaving spiders: determining the most efficient formula. Ann. Entomol. Soc. Am. 94 (2001) 490-496
43. Venner S., Bel-Venner M.C., Pasquet A., and Leborgne R. Body mass-dependent cost of web-building behavior in an orb weaving spider Zygiella x-notata. Naturwissenschaften 90 (2003) 269-272
44. Weber T.P., Ens B.J., and Houston A.I. Optimal avian migration: a dynamic model of fuel stores and site use. Evol. Ecol. 12 (1998) 377-401
45. Witt P.N., Reed C.F., and Peakall D.B. A Spider's Web: Problems in Regulatory Biology (1968), Springe, New York