Pattern-oriented modelling of plant architecture: A new approach for constructing functional-structural plant models

Computational modelling is becoming increasingly significant in improving our understanding of natural systems, and in making predictions to manage them. Many computational models have been used in various areas for these purposes. However, it has been suggested that models should not be either too simple or too complex, if they are to be useful. Thus, it is of importance to construct models with an optimised model structure that sufficiently well represents their real world counterparts. To do that, better modelling strategies are needed. The pattern-oriented modelling (POM) strategy is an approach that has been proposed to address these issues. It has been used widely to develop agent-based models (ABMs), aiming to make the models more comprehensive and rigorous, and increasing their predictive power. Functional-structural plant models (FSPMs) can be identified as ABMs, if organs/growth units of a plant are considered as agents. To test the feasibility and demonstrate the value of using the POM strategy for functional-structural plant modelling, this study focuses on modelling of avocado (Persea americana, cv. Hass), because of its clear modular construction and its economic significance to subtropical and tropical horticulture world-wide. Our study focuses on the systematic development of techniques to apply the POM strategy to functional-structural plant modelling. The overall objective was to determine whether the POM strategy could be used to construct FSPMs in order to increase their predictive power. In the present study, a functional-structural plant model of the annual growth module of avocado was constructed using the POM strategy. The model was able to reproduce multiple observed patterns of architecture and shoot growth simultaneously, and to make independent predictions providing insights into branching architecture, which were consistent with independently generated findings of other studies. Comparison of model outcomes to multiple observed patterns of modular construction at different scales, e.g. metamer level, growth unit level and branch level, increases our confidence that the model performed well. Those independent predictions can be strong indicators that the model is structurally realistic.

[1]  Radomír Mech,et al.  Self-organizing tree models for image synthesis , 2009, ACM Trans. Graph..

[2]  J. Hanan,et al.  A Generic Individual-Based Spatially Explicit Model as a Novel Tool for Investigating Insect-Plant Interactions: A Case Study of the Behavioural Ecology of Frugivorous Tephritidae , 2016, PloS one.

[3]  Hartmut Stützel,et al.  Dry matter partitioning models for the simulation of individual fruit growth in greenhouse cucumber canopies. , 2011, Annals of botany.

[4]  Jochem B. Evers,et al.  Functional-Structural Plant Modelling in Crop Production: Adding a dimension , 2007 .

[5]  G. Buck-Sorlin,et al.  How plant architecture affects light absorption and photosynthesis in tomato: towards an ideotype for plant architecture using a functional-structural plant model. , 2011, Annals of botany.

[6]  Anna Malawska,et al.  Evaluating the role of behavioral factors and practical constraints in the performance of an agent-based model of farmer decision making , 2016 .

[7]  Dipak Barua,et al.  Computational model for autophagic vesicle dynamics in single cells , 2013, Autophagy.

[8]  Volker Grimm,et al.  Using pattern-oriented modeling for revealing hidden information: a key for reconciling ecological theory and application , 2003 .

[9]  A. Samach,et al.  Constraints to obtaining consistent annual yields in perennial tree crops. I: Heavy fruit load dominates over vegetative growth. , 2013, Plant science : an international journal of experimental plant biology.

[10]  Steven F. Railsback Railsback: Individual-based Modeling and Ecology Chapter One 1.1 Why Individual-based Modeling and Ecology? 1.2 Linking Individual Traits and System Complexity: Three Examples 1.2.1 the Green Woodhoopoe Model , 2005 .

[11]  Chao Yang,et al.  Pattern-Oriented Inverse Simulation for Analyzing Social Problems: Family Strategies in Civil Service Examination in Imperial China , 2012, Adv. Complex Syst..

[12]  Margaret Sedgley,et al.  Architectural analysis of tree form in a range of avocado cultivars , 1993 .

[13]  V. Grimm,et al.  Post-Hoc Pattern-Oriented Testing and Tuning of an Existing Large Model: Lessons from the Field Vole , 2012, PloS one.

[14]  Jim Hanan,et al.  A functional-structural kiwifruit vine model integrating architecture, carbon dynamics and effects of the environment. , 2011, Annals of botany.

[15]  Jonathan R. Karr,et al.  A Whole-Cell Computational Model Predicts Phenotype from Genotype , 2012, Cell.

[16]  A. Samach,et al.  Constraints to obtaining consistent annual yields in perennials. II: Environment and fruit load affect induction of flowering. , 2013, Plant science : an international journal of experimental plant biology.

[17]  Thorben Jensen,et al.  Energy-efficiency impacts of an air-quality feedback device in residential buildings : an agent-based modeling assessment , 2016 .

[18]  Przemyslaw Prusinkiewicz,et al.  L-systems: from the Theory to Visual Models of Plants , 2001 .

[19]  Steven F Railsback,et al.  Pattern-oriented modelling: a ‘multi-scope’ for predictive systems ecology , 2012, Philosophical Transactions of the Royal Society B: Biological Sciences.

[20]  Radomír Mech,et al.  L-studio/cpfg: A Software System for Modeling Plants , 1999, AGTIVE.

[21]  Bruce Schaffer,et al.  The Avocado: Botany, Production and Uses , 2013 .

[22]  Jim Hanan,et al.  A functional-structural modelling approach to autoregulation of nodulation. , 2011, Annals of botany.

[23]  B. Andrieu,et al.  Functional-structural plant modelling: a new versatile tool in crop science. , 2010, Journal of experimental botany.

[24]  Hartmut Stützel,et al.  Simplification of a light-based model for estimating final internode length in greenhouse cucumber canopies. , 2011, Annals of botany.

[25]  Eliot J. B. McIntire,et al.  Overcoming challenges of sparse telemetry data to estimate caribou movement , 2016 .

[26]  Przemyslaw Prusinkiewicz,et al.  The L-system-based plant-modeling environment L-studio 4.0 , 2004 .

[27]  S. Attinger,et al.  Assessing the structural adequacy of alternative ecohydrological models using a pattern-oriented approach , 2015 .

[28]  Przemyslaw Prusinkiewicz,et al.  Towards aspect-oriented functional--structural plant modelling. , 2011, Annals of botany.

[29]  Przemyslaw Prusinkiewicz,et al.  Numerical methods for transport-resistance sink-source allocation models , 2007 .

[30]  Volker Grimm,et al.  Merging validation and evaluation of ecological models to ‘evaludation’: A review of terminology and a practical approach , 2014 .

[31]  Jim Hanan,et al.  Models of long-distance transport: how is carrier-dependent auxin transport regulated in the stem? , 2012, The New phytologist.

[32]  Nicholas R. Magliocca,et al.  Using Pattern‐oriented Modeling (POM) to Cope with Uncertainty in Multi‐scale Agent‐based Models of Land Change , 2013, Trans. GIS.

[33]  P. Prusinkiewicz,et al.  Using L-systems for modeling source-sink interactions, architecture and physiology of growing trees: the L-PEACH model. , 2005, The New phytologist.

[34]  Jim Hanan,et al.  Computational Complementation: A Modelling Approach to Study Signalling Mechanisms during Legume Autoregulation of Nodulation , 2010, PLoS Comput. Biol..

[35]  C. Menzel,et al.  Increasing the productivity of avocado orchards using high-density plantings: A review , 2014 .

[36]  P. Prusinkiewicz,et al.  Virtual plants: new perspectives for ecologists, pathologists and agricultural scientists , 1996 .

[37]  Uta Berger,et al.  Pattern-Oriented Modeling of Agent-Based Complex Systems: Lessons from Ecology , 2005, Science.

[38]  J. Lecoeur,et al.  Are the common assimilate pool and trophic relationships appropriate for dealing with the observed plasticity of grapevine development? , 2010, Annals of botany.

[39]  Karl A. Smith,et al.  How to Model It: Problem Solving for the Computer Age , 1994 .

[40]  G. Huse Individual‐based Modeling and Ecology , 2008 .

[41]  M Saudreau,et al.  Modelling fruit-temperature dynamics within apple tree crowns using virtual plants. , 2011, Annals of botany.

[42]  Lael Parrott,et al.  Levels of emergence in individual based models: Coping with scarcity of data and pattern redundancy , 2011 .

[43]  Marco Janssen,et al.  Pattern-Oriented Modeling of Commons Dilemma Experiments , 2009, Adapt. Behav..

[44]  Jim Hanan,et al.  A model of macadamia with application to pruning in orchards , 2016 .

[45]  J. Hanan,et al.  Spatially explicit individual-based modelling of insect- plant interactions: effects of level of detail in Queensland fruit fly models , 2015 .

[46]  Przemyslaw Prusinkiewicz,et al.  Simulation of insect movement with respect to plant architecture and morphogenesis , 2002 .

[47]  M. Arpaia,et al.  ‘Hass’ avocado tree growth on four rootstocks in California. II. Shoot and root growth , 2012 .

[48]  Neil D. Fredrick,et al.  Dynamic, mechanistic, molecular-level modelling of cyanobacteria: Anabaena and nitrogen interaction. , 2016, Environmental microbiology.

[49]  Christophe Godin,et al.  Functional-structural plant modelling. , 2005, The New phytologist.

[50]  Przemyslaw Prusinkiewicz,et al.  Quasi-Monte Carlo simulation of the light environment of plants. , 2008, Functional plant biology : FPB.

[51]  V. Irihimovitch,et al.  Expression Profiling of FLOWERING LOCUS T-Like Gene in Alternate Bearing ‘Hass' Avocado Trees Suggests a Role for PaFT in Avocado Flower Induction , 2014, PloS one.