On the dynamics of vegetation: Succession in model communities

Hulst, Robert van

doi:10.1007/bf00052020

Cited by 31 publications

(14 citation statements)

References 17 publications

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“…Use of the Markov chain method of simulation has been sufficient to indicate the distinct patterns which may arise with differences in environment even with simple vegetation such as a lawn. Van Hulst (1978, 1979a has in a series of papers developed an approach to the problem of modelling succession but attempts to simplify the problem by examining the available data to test whether succession is a Markovian process. There are two important assumptions:…”

Section: Discussionmentioning

confidence: 99%

An analysis of succession along an environmental gradient using data from a lawn

Austin

Belbin

1981

Vegetatio

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Differences in vegetation dynamics over a period of two years along an environmental gradien t of shading on a lawn are examined. 'Communities' (groups) recognized by numerical classification are correlated with degree of shading, season and differences between years by means of generalized linear model analysis. More of the variance is explained if environmental position is used instead of degree of shading as spatial distribution of a strongly competitive species (Trifolium repens) is confounded with shading. Transition probabilities are related to environmental position and season. Simulation with Markov matrices for each season and position demonstrate markedly different successions for different positions. These simulations have no predictive value however as accurate estimate of transition probabilities requires knowledge of the state of adjacent quadrats, i.e. individual observations of transition probabilities are not independent.Transition matrices are unlikely to be useful for predictive analysis of succession when spatial pattern is of significance in the community.

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Section: Discussionmentioning

confidence: 99%

An analysis of succession along an environmental gradient using data from a lawn

Austin

Belbin

1981

Vegetatio

View full text Add to dashboard Cite

show abstract

“…The structure of a Markov chain model may vary from a very simple linear scheme (the stochastic equivalent of the catenary isotope disintegration model discussed in van Hulst 1979) to exceedingly complex, with various absorbing states, closed sets and transient sets. The states may follow one another with deterministic rigidity or they may be indeoendent.…”

Section: Markovian Successionmentioning

confidence: 99%

“…That one nevertheless does not often observe late successional vegetation at the waterfront is understandable if one considers the effects of physical stress (cf. van Hulst 1978van Hulst , 1979.…”

Section: Statistical Inference About Markov Chainsmentioning

confidence: 99%

“…The models derived in a previous paper (van Hulst 1979) fell naturally into two categories: those for which future states depend on the past, and those for which future states depend only on the present. The distinction can be seen most easily in the following formulation.…”

Section: Introductionmentioning

confidence: 99%

“…As an illustration, consider the trick employed in a previous paper (van Hulst 1979) to transform an unmanageable integro-differential equation model into a simple linear differential equation model. According to theory vegetation changes the environmental variables in a cumulative way and the values of the environmental variables at any moment determine vegetational composition.…”

Section: Introductionmentioning

confidence: 99%

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