The biometry of plant growth:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London
Arnold
1981
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 307 S. graph. Darst. |
| ISBN: | 0713128127 |
Staff View
MARC
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| 100 | 1 | |a Causton, David R. |e Verfasser |4 aut | |
| 242 | 0 | 0 | |a Biometrie des Pflanzenwachstums |y ger |
| 245 | 1 | 0 | |a The biometry of plant growth |c David R. Causton ; Jill C. Venus* |
| 264 | 1 | |a London |b Arnold |c 1981 | |
| 300 | |a XII, 307 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 650 | 4 | |a Croissance (Plantes) - Modèles mathématiques | |
| 650 | 4 | |a Croissance (Plantes) - Méthodes statistiques | |
| 650 | 4 | |a Biometry | |
| 650 | 4 | |a Growth (Plants) | |
| 650 | 4 | |a Plants |x Development | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface iii
1. Introduction 1
Quantification of biology 1
Levels of growth 2
Growth considered as the multiplication of individuals 2
Higher plant organization and growth measurements 2
Aspects of growth at the cellular level 5
Quantification of growth 6
Early work 6
The advent of curve fitting 7
Increasing interest in single leaf growth 9
Advantages of curve fitting 10
Biological applications of the quantitative analysis of growth 11
Interrelationships between growth and photosynthesis 11
Mechanistic modelling of physiological processes 12
Empirical models of the growth of plant parts 13
Practical applications of growth analysis 14
The method and the user 14
2. Whole plant growth analysis 16
Principles of whole plant growth analysis 17
Growth rates 17
Unit leaf rate 18
Leaf area ratio 21
Other morphological ratios 22
The fundamental equation in growth analysis 23
Classical growth analysis: methods 23
Ratios 23
Rates: mathematical aspects 24
Rates: statistical and biological aspects 27
Classical growth analysis: applications 36
x Contents
Difficulties in the interpretation of rate trends 36
A simulation experiment to find a suitable harves interval for
realistic rate estimation 37
A variety of uses for whole plant growth analysis 41
Experimental data: a comparative study of four species 43
Consequences of the interdependence of unit leaf rate and leaf
area ratio 47
The functional approach: methods 50
Polynomial exponential functions 51
The Richards function 53
Splined function 53
Ratios 54
Unit leaf rate 55
The functional approach: applications 56
Experimental data: a comparative study of four species
(continued) 57
3. Linear regression theory 65
Regression in general 66
The principle of least squares 69
Polynomial regression: the straight line 70
Least squares estimation 70
The sampling distributions of the parameter estimates 73
Maximum likelihood estimation 75
Polynomial regression: general 80
The variances and covariances of the parameter estimates 83
Higher order polynomials 84
Testing the appropriateness of a function 84
4. Single leaf growth and the Richards function: methodology 86
Determinate growth and sigmoid functions 86
Sigmoid functions 87
The Richards function 89
Derivations of the Richards function 90
Properties of the Richards function 92
The Gompertz function 98
Estimating the Richards function 100
The Newton-Raphson method 101
Hadley s method of obtaining starting values 103
Other iterative methods 105
Contents xi
Concluding assessments of the estimated function 106
The distributions of the estimates of the parameters and their
variances: a simulation study 109
Testing the estimation model assumptions 114
Testing for normality of the logarithmically transformed data 114
Assessing the assumption of constant variance 117
The Richards function with heteroscedastic data 121
The weighted maximum likelihood estimation of the function 121
A simulation study to asses the performance of weighted and
non-weighted estimations with heteroscedastic data 127
Comparison of the weighted and non-weighted methods with
leaf growth data 130
The nature of the heteroscedasticity of individual leaf growth data 133
Structural and developmental variability 133
The possibility of removing developmental variation 136
5. Single leaf growth and the Richards function: applications 144
Biologically relevant parameters 145
Correlations between parameter estimates 145
Parameter combinations: secondary parameters 146
Parameter comparisons within and between species 149
Primary parameters 149
Secondary parameters 153
Curves derived from fittted Richards functions 159
Relative growth rate 161
Specific leaf area 167
The species compared 171
6. Relationships between plant parts 173
Linear allometry: mathematical aspects 174
Theorems on allometry 175
Organ systems in which linear allometry may occur 178
Allometry and the Richards function 180
Linear allometry: physiological aspects 181
Linear allometry: statistical aspects 182
Estimating a linear functional relationship by maximum
likelihood 184
The maximum likelihood model in relation to plant growth data 192
Linear segment and curvilinear allometry 195
Assessment of the situation 195
xii Contents
Linear segments 196
Curvilinear allometry 197
Applications 201
Properties of the data 201
Some effects of changes in the estimation method 204
Species results 209
The physiological significance of the allometric data 218
7. The whole plant: a synthetic growth model 219
Some general mathematical relationships involved in plant growth 220
Theorems 7.1 and 7.2 220
Relative growth rates and component entity ratios 222
The mathematics of exponential growth 223
Theorem 7.3 223
Growth of the plant and its parts at Levels 1 and la 225
The model: methods 230
Foliage growth 230
Stem and root growth 234
Plant growth 236
Discussion on model formulation 239
The model: results 240
Sunflower 241
Wheat 246
Maize 249
Birch 252
The model: discussion 257
Postscript 260
Appendix 261
Glossary of symbols 276
Bibliography 284
Plant index 300
Author index 301
Subject index 304
|
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| callnumber-subject | QK - Botany |
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| dewey-full | 581.3/1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 581 - Specific topics in natural history of plants |
| dewey-raw | 581.3/1 |
| dewey-search | 581.3/1 |
| dewey-sort | 3581.3 11 |
| dewey-tens | 580 - Plants |
| discipline | Biologie Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV002299145 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:43:37Z |
| institution | BVB |
| isbn | 0713128127 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001511141 |
| oclc_num | 8154990 |
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| physical | XII, 307 S. graph. Darst. |
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| publisher | Arnold |
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| spelling | Causton, David R. Verfasser aut Biometrie des Pflanzenwachstums ger The biometry of plant growth David R. Causton ; Jill C. Venus* London Arnold 1981 XII, 307 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Croissance (Plantes) - Modèles mathématiques Croissance (Plantes) - Méthodes statistiques Biometry Growth (Plants) Plants Development Plants growth & development Botanik (DE-588)4007842-5 gnd rswk-swf Pflanzenwachstum (DE-588)4045595-6 gnd rswk-swf Biostatistik (DE-588)4729990-3 gnd rswk-swf Pflanzenwachstum (DE-588)4045595-6 s Biostatistik (DE-588)4729990-3 s DE-604 Botanik (DE-588)4007842-5 s Venus, Jill C. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001511141&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Causton, David R. Venus, Jill C. The biometry of plant growth Croissance (Plantes) - Modèles mathématiques Croissance (Plantes) - Méthodes statistiques Biometry Growth (Plants) Plants Development Plants growth & development Botanik (DE-588)4007842-5 gnd Pflanzenwachstum (DE-588)4045595-6 gnd Biostatistik (DE-588)4729990-3 gnd |
| subject_GND | (DE-588)4007842-5 (DE-588)4045595-6 (DE-588)4729990-3 |
| title | The biometry of plant growth |
| title_auth | The biometry of plant growth |
| title_exact_search | The biometry of plant growth |
| title_full | The biometry of plant growth David R. Causton ; Jill C. Venus* |
| title_fullStr | The biometry of plant growth David R. Causton ; Jill C. Venus* |
| title_full_unstemmed | The biometry of plant growth David R. Causton ; Jill C. Venus* |
| title_short | The biometry of plant growth |
| title_sort | the biometry of plant growth |
| topic | Croissance (Plantes) - Modèles mathématiques Croissance (Plantes) - Méthodes statistiques Biometry Growth (Plants) Plants Development Plants growth & development Botanik (DE-588)4007842-5 gnd Pflanzenwachstum (DE-588)4045595-6 gnd Biostatistik (DE-588)4729990-3 gnd |
| topic_facet | Croissance (Plantes) - Modèles mathématiques Croissance (Plantes) - Méthodes statistiques Biometry Growth (Plants) Plants Development Plants growth & development Botanik Pflanzenwachstum Biostatistik |
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