TY - JOUR

T1 - The mathematical method of studying the reproduction structure of weeds and its application to Bromus sterilis

AU - Wang, J.

AU - Hansen, P.K.

AU - Christensen, S.

AU - Qi, G.Z.

N1 - 000221965100031

PY - 2004

Y1 - 2004

N2 - This article discusses the structure of weed reproduction incorporating
the application of a mathematical model. This mathematical methodology
enables the construction, testing and application of distribution models
for the analysis of the structure of weed reproduction and weed ecology. The
mathematical model was applied, at the individual level, to the weed species,
Bromus sterilis. The application of this method, to the weed under competition,
resulted in an analysis of the overall reproduction structure of the weed
which follows approximately Gaussian distribution patterns and an analysis
of the shoots in the weed plant which follow approximately Sigmoid distribution
patterns. It was also discovered that the application of the mathematical
distribution models, when applied under specific conditions could, effectively
estimate the seed production and total number of shoots in a weed plant. On
the average, a weed plant has 3 shoots, with each shoot measuring 90cm in
height and being composed of 21 spikelets. Besides the estimations of the total
shoots and seed production within the experimental field, one may also apply
these mathematical distribution models to estimate the germination rate of
the species within the experimental field in following years.

AB - This article discusses the structure of weed reproduction incorporating
the application of a mathematical model. This mathematical methodology
enables the construction, testing and application of distribution models
for the analysis of the structure of weed reproduction and weed ecology. The
mathematical model was applied, at the individual level, to the weed species,
Bromus sterilis. The application of this method, to the weed under competition,
resulted in an analysis of the overall reproduction structure of the weed
which follows approximately Gaussian distribution patterns and an analysis
of the shoots in the weed plant which follow approximately Sigmoid distribution
patterns. It was also discovered that the application of the mathematical
distribution models, when applied under specific conditions could, effectively
estimate the seed production and total number of shoots in a weed plant. On
the average, a weed plant has 3 shoots, with each shoot measuring 90cm in
height and being composed of 21 spikelets. Besides the estimations of the total
shoots and seed production within the experimental field, one may also apply
these mathematical distribution models to estimate the germination rate of
the species within the experimental field in following years.

U2 - 10.3934/dcdsb.2004.4.777

DO - 10.3934/dcdsb.2004.4.777

M3 - Article

VL - 4

SP - 777

EP - 788

JO - Discrete and Continuous Dynamical Systems. Series B, a journal bridging mathematics and sciences

JF - Discrete and Continuous Dynamical Systems. Series B, a journal bridging mathematics and sciences

SN - 1531-3492

IS - 3

ER -