Growth model of the reared sea urchin Paracentrotus ... - SciViews

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List of equations LIST OF EQUATIONS Equation 1. Exponential growth model: population increase by a fixed proportion. Page 43. Equation 2. Exponential growth model: differential equation. Page 43. Equation 3. Exponential growth model: equation. Page 43. Equation 4. Logistic model: differential equation. Page 44. Equation 5. Logistic model: equation. Page 44. Equation 6. 4-parameter logistic model. Page 45. Equation 7. Gompertz model: differential equation. Page 45. Equation 8. Gompertz model: equation. Page 45. Equation 9. von Bertalanffy 2 model: differential equation. Page 46. Equation 10. von Bertalanffy 2 model: equation. Page 46. Equation 11. von Bertalanffy 1 model. Page 46. Equation 12. Richards model. Page 47. Equation 13. Weibull model. Page 48. Equation 14. Jolicoeur model. Page 49. Equation 15. Johnson model. Page 50. Equation 16. Preece-Baines model 1. Page 51. Equation 17. Tanaka model. Page 52. Equation 18. Definition of SIW. Page 100. 19
List of equations Equation 19. Calculation of ds, the apparent mean density of the skeleton of a sea urchin using DWs / IW relationship. Page 101. Equation 20. Moving average smoothing applied to size-frequency distributions. Page 117. Equation 21. Objective function (deviance δ1) of the quantile regression. Page 146. Equation 22. Piece-wise linear function used to calculate the deviance δ1 in eq. 21. Page 147. Equation 23. Definition of the relative time-scale t'. Page 149. Equation 24. Function of size D with relative time t' for the set S in the fuzzy model. Page 150. Equation 25. Function of size D with relative time t' for the set L in the fuzzy model. Page 151. Equation 26. Membership function to the set L with relative time t'. Page 151. Equation 27. Membership function to the set S with relative time t'. Page 151. Equation 28. Defuzzification of the fuzzy model. Page 152. Equation 29. Equation of the defuzzified model after simplification. Page 152. Equation 30. Definition of the relative size-scale D'. Page 155. Equation 31. The new growth model with relative size D' and relative time t'. Page 155. Equation 32. Parameter l in function of τ in the envelope model. Page 158. 20
Page 1 and 2: U L B bio mar UNIVERSITE LIBRE DE B
Page 4 and 5: Acknowledgements ACKNOWLEDGEMENTS W
Page 6 and 7: Abstract ABSTRACT A rearing protoco
Page 8 and 9: Résumé RESUME Un protocole d'éle
Page 10 and 11: Table of contents TABLE OF CONTENTS
Page 12 and 13: ANNEXES............................
Page 14 and 15: List of figures LIST OF FIGURES Fig
Page 16 and 17: List of figures Figure 28. A. Histo
Page 18 and 19: List of tables LIST OF TABLES Table
Page 22 and 23: List of equations Equation 33. Para
Page 24 and 25: List of symbols LIST OF SYMBOLS Var
Page 26 and 27: List of symbols IW Immersed weight:
Page 28: Introduction 27
Page 31 and 32: Foreword 30
Page 33 and 34: General introduction this study. Se
Page 35 and 36: General introduction intense fishin
Page 37 and 38: General introduction habitats: inte
Page 39 and 40: General introduction substrate to s
Page 41 and 42: General introduction mm (Spirlet et
Page 43 and 44: Growth models General introduction
Page 45 and 46: . The logistic function for asympto
Page 47 and 48: d. The von Bertalanffy curves Gener
Page 49 and 50: Y Y 1 Y• 0.8 0.6 0.4 0.2 General
Page 51 and 52: Y 1 Y• 0.8 0.6 Y•êH1+bL 0.4 0.
Page 53 and 54: YY 3 2.5 2 1.5 1 0.5 General introd
Page 55 and 56: Table 1. Models used to fit sea urc
Page 57 and 58: General introduction model 1 for Ec
Page 59 and 60: General introduction method used. I
Page 61 and 62: General introduction Experiments in
Page 63 and 64: Aim of the thesis 62
Page 66 and 67: PART I: SET UP OF AN EXPERIMENTAL R
Page 68 and 69: Land-based closed-cycle echinicultu
Page 70 and 71:
Aquaculture of echinoderms, includi
Page 72 and 73:
6b. exploitation KCl water renewal
Page 74 and 75:
earing cycle into seven stages is e
Page 76 and 77:
(Grosjean et al, 1996, see Part III
Page 78 and 79:
output. The quality of gametes is o
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average value of 19.5 days, a minim
Page 82 and 83:
individuals were still alive 3 mont
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e. Discussion show similar GI and M
Page 86 and 87:
The success of the present method l
Page 88 and 89:
Fenaux (1990) for the same species
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encountered with food is its stabil
Page 92 and 93:
to Christine Spirlet (ref. ERB 4001
Page 94:
PART II Measurement for size in the
Page 97 and 98:
Part II: Measurement for size in th
Page 99 and 100:
Few studies have compared and discu
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d. Results and discussion The ambit
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Reproducibility of measurements The
Page 105 and 106:
e. Conclusions fresh weight! Cautio
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principal axis 3 1 0.8 0.6 0.4 0.2
Page 109 and 110:
a relative homogeneous growth of al
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110
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Part III: Experimental studies of t
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assumption of normality can be test
Page 117 and 118:
occurred. From this moment on, and
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d. Results Size distribution among
Page 121 and 122:
Nber of ind. 120 100 80 60 40 20 0
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Table 9. Statistics on the six batc
Page 125 and 126:
Table 10. Size distribution of Fe e
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purpuratus; Dafni & Tobol, 1987: Tr
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Nbr. of ind. Nbr. of ind. A. Size d
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Nbr. of ind. Nbr. of ind. Nbr. d'in
Page 133 and 134:
Part III: Experimental studies of t
Page 135 and 136:
134
Page 137 and 138:
Part IV: A growth model with intras
Page 139 and 140:
. Introduction fuzzy-remanent funct
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considered factor on the curve's sh
Page 143 and 144:
Diameter D 20 in mm Diameter D in m
Page 145 and 146:
d. Results Theoretical consideratio
Page 147 and 148:
some two-dimensional processes like
Page 149 and 150:
implements this method ('nlrq' pack
Page 151 and 152:
value just after metamorphosis (D0,
Page 153 and 154:
quantifies maximum speed growth, k2
Page 155 and 156:
Table 12. Results of quantile regre
Page 157 and 158:
This way, one obtains a 4-parameter
Page 159 and 160:
individuals related to the presence
Page 161 and 162:
Finally, ∆D∞ should follow a no
Page 163 and 164:
60 Diameter increase D' in mm 40 20
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e. Discussion Fig. 34B shows three
Page 167 and 168:
Constraining parameters as we did i
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It does not consider respiration as
Page 171 and 172:
this species. For other species, wh
Page 173 and 174:
ecapture, McDonald & Pitcher, 1979;
Page 175 and 176:
∆D∞ D0 +∆D∞ − D0 +∆D∞
Page 177 and 178:
evaluated on basis of biological kn
Page 179 and 180:
ain conceptualizes complex objects.
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180
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General conclusions individuals, wh
Page 185 and 186:
Root models: y’ = ay m -by n (exp
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General conclusions - The diauxic g
Page 189 and 190:
General conclusions model not on a
Page 191 and 192:
References Baker, T.T., R. Lafferty
Page 193 and 194:
References Dafni, J. & R. Tobol, 19
Page 195 and 196:
References Ebert, T.A., 1999. Plant
Page 197 and 198:
References intermedius on a rocky s
Page 199 and 200:
References Guillou, M. & Ch. Michel
Page 201 and 202:
References Kobayashi, S. & J. Taki,
Page 203 and 204:
References McDonald, P.D. & T.J. Pi
Page 205 and 206:
References Pouvreau, S., C. Bacher
Page 207 and 208:
References Sellem, F., H. Langar &
Page 209 and 210:
References Stumm, W. & J.J. Morgan,
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References Webster, S.K. & A.C. Gie
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212
Page 215 and 216:
Annexes 214
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# If no graphic device currently op
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lines(edatq[, 1], predict(edat.025,
Page 221 and 222:
SimRes
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Annexes Code of functions required
Page 225 and 226:
plot(cumsum(dat[,columns[1]])/sum(d
Page 227 and 228:
for the CI!!! Annexes SEMean
Page 229 and 230:
} Annexes # - y, a vector of classe
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plot(x, y, type="l", col=col, lty=l
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} Annexes } results[i, 1:5]
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} .value Annexes dimnames(.grad)
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#{ # # This is adapted from SSasymp
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Exp.ival
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SSallo
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.expr4
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.expr9
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. The 'nlrq' package for nonlinear
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nlrq.control package:nlrq R Documen
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gradSetArgs[[2]]), call("[", gradSe
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model.step
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Annexes 254
Page 257 and 258:
Annexes 256
Page 259 and 260:
Annexes metamorphosis. Acquisition
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Annexes ABSTRACT: The general allom
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Annexes libitum for 8, 16, 24, 32,
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Annexes EXECUTIVE SUMMARY: The aim
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Annexes KEYWORDS: Somatic growth, d
Page 269 and 270:
Annexes amount of waste produced at
Page 271 and 272:
Annexes ABSTRACT: Multimodal distri
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Growth model of the reared sea urchin Paracentrotus ... - SciViews

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