Shoot/root balance of plants: Optimal growth of a system with many vegetative organs

Yoh Iwasa, Jonathan Roughgarden

Research output: Contribution to journalArticle

139 Citations (Scopus)

Abstract

The optimal growth schedule of a plant with two vegetative parts is studied to investigate the balance between shoot and root. An intuitive justification of optimization procedures used in Pontryagin's maximum principle is obtained by defining the marginal values of shoot size, root size, and reproductive activity at various times of the season and deriving their differential equations and terminal conditions. The optimal growth pattern which maximizes the total reproductive activity during the season is composed of the convergence of a plant's shape to a balanced growth path, followed by simultaneous growth of shoot and root (balanced growth), ending with the reproductive growth. Along the balanced growth path, a plant has a root/shoot ratio which maximizes the daily net photosynthesis for a given total biomass. The model also shows a simultaneous stop of shoot and root growth when the reproduction begins, the dependence of root/shoot ratio on age, water and light availability, etc., the convergence of a plant's shape to the balanced growth after pruning or an environmental change.

Original languageEnglish
Pages (from-to)78-105
Number of pages28
JournalTheoretical Population Biology
Volume25
Issue number1
DOIs
Publication statusPublished - Jan 1 1984

Fingerprint

shoot
shoots
root shoot ratio
root-shoot ratio
pruning
root growth
photosynthesis
organ
biomass
light availability
water availability
water
environmental change

All Science Journal Classification (ASJC) codes

  • Ecology, Evolution, Behavior and Systematics

Cite this

Shoot/root balance of plants : Optimal growth of a system with many vegetative organs. / Iwasa, Yoh; Roughgarden, Jonathan.

In: Theoretical Population Biology, Vol. 25, No. 1, 01.01.1984, p. 78-105.

Research output: Contribution to journalArticle

Iwasa, Yoh ; Roughgarden, Jonathan. / Shoot/root balance of plants : Optimal growth of a system with many vegetative organs. In: Theoretical Population Biology. 1984 ; Vol. 25, No. 1. pp. 78-105.
@article{5f4d5bf6ba6048f9ba77f5d835db4386,
title = "Shoot/root balance of plants: Optimal growth of a system with many vegetative organs",
abstract = "The optimal growth schedule of a plant with two vegetative parts is studied to investigate the balance between shoot and root. An intuitive justification of optimization procedures used in Pontryagin's maximum principle is obtained by defining the marginal values of shoot size, root size, and reproductive activity at various times of the season and deriving their differential equations and terminal conditions. The optimal growth pattern which maximizes the total reproductive activity during the season is composed of the convergence of a plant's shape to a balanced growth path, followed by simultaneous growth of shoot and root (balanced growth), ending with the reproductive growth. Along the balanced growth path, a plant has a root/shoot ratio which maximizes the daily net photosynthesis for a given total biomass. The model also shows a simultaneous stop of shoot and root growth when the reproduction begins, the dependence of root/shoot ratio on age, water and light availability, etc., the convergence of a plant's shape to the balanced growth after pruning or an environmental change.",
author = "Yoh Iwasa and Jonathan Roughgarden",
year = "1984",
month = "1",
day = "1",
doi = "10.1016/0040-5809(84)90007-8",
language = "English",
volume = "25",
pages = "78--105",
journal = "Theoretical Population Biology",
issn = "0040-5809",
publisher = "Academic Press Inc.",
number = "1",

}

TY - JOUR

T1 - Shoot/root balance of plants

T2 - Optimal growth of a system with many vegetative organs

AU - Iwasa, Yoh

AU - Roughgarden, Jonathan

PY - 1984/1/1

Y1 - 1984/1/1

N2 - The optimal growth schedule of a plant with two vegetative parts is studied to investigate the balance between shoot and root. An intuitive justification of optimization procedures used in Pontryagin's maximum principle is obtained by defining the marginal values of shoot size, root size, and reproductive activity at various times of the season and deriving their differential equations and terminal conditions. The optimal growth pattern which maximizes the total reproductive activity during the season is composed of the convergence of a plant's shape to a balanced growth path, followed by simultaneous growth of shoot and root (balanced growth), ending with the reproductive growth. Along the balanced growth path, a plant has a root/shoot ratio which maximizes the daily net photosynthesis for a given total biomass. The model also shows a simultaneous stop of shoot and root growth when the reproduction begins, the dependence of root/shoot ratio on age, water and light availability, etc., the convergence of a plant's shape to the balanced growth after pruning or an environmental change.

AB - The optimal growth schedule of a plant with two vegetative parts is studied to investigate the balance between shoot and root. An intuitive justification of optimization procedures used in Pontryagin's maximum principle is obtained by defining the marginal values of shoot size, root size, and reproductive activity at various times of the season and deriving their differential equations and terminal conditions. The optimal growth pattern which maximizes the total reproductive activity during the season is composed of the convergence of a plant's shape to a balanced growth path, followed by simultaneous growth of shoot and root (balanced growth), ending with the reproductive growth. Along the balanced growth path, a plant has a root/shoot ratio which maximizes the daily net photosynthesis for a given total biomass. The model also shows a simultaneous stop of shoot and root growth when the reproduction begins, the dependence of root/shoot ratio on age, water and light availability, etc., the convergence of a plant's shape to the balanced growth after pruning or an environmental change.

UR - http://www.scopus.com/inward/record.url?scp=0002154287&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002154287&partnerID=8YFLogxK

U2 - 10.1016/0040-5809(84)90007-8

DO - 10.1016/0040-5809(84)90007-8

M3 - Article

AN - SCOPUS:0002154287

VL - 25

SP - 78

EP - 105

JO - Theoretical Population Biology

JF - Theoretical Population Biology

SN - 0040-5809

IS - 1

ER -