Direct coupling: a possible strategy to control fruit production in alternate bearing

[1]  O. Bjørnstad,et al.  Masting and trophic cascades: interplay between rowan trees, apple fruit moth, and their parasitoid in southern Norway , 2004 .

[2]  Awadhesh Prasad,et al.  Amplitude death in coupled chaotic oscillators. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Hiroki Ito,et al.  How Does Masting Happen and Synchronize , 1997 .

[4]  A. Lloyd THE COUPLED LOGISTIC MAP : A SIMPLE MODEL FOR THE EFFECTS OF SPATIAL HETEROGENEITY ON POPULATION DYNAMICS , 1995 .

[5]  M. Meland,et al.  Effects of different crop loads and thinning times on yield, fruit quality, and return bloom in Malus × domestica Borkh. ‘Elstar’ , 2009 .

[6]  A. Sala,et al.  How do plants know when other plants are flowering? Resource depletion, pollen limitation and mast-seeding in a perennial wildflower. , 2009, Ecology letters.

[7]  Understanding the alternate bearing phenomenon: Resource budget model. , 2015, Chaos.

[8]  F. G. Jr. Dennis,et al.  The history of fruit thinning , 2000, Plant Growth Regulation.

[9]  Vikas Rai,et al.  Chaos in ecology , 2001 .

[10]  E. Goldschmidt The Evolution of Fruit Tree Productivity: A Review , 2013, Economic Botany.

[11]  Louis M Pecora,et al.  Synchronization of chaotic systems. , 2015, Chaos.

[12]  金子 邦彦 Theory and applications of coupled map lattices , 1993 .

[13]  H. Bouwmeester,et al.  Metabolomics in the Rhizosphere: Tapping into Belowground Chemical Communication. , 2016, Trends in plant science.

[14]  L. Polansky,et al.  Empirical Models of Pollen Limitation, Resource Acquisition, and Mast Seeding by a Bee‐Pollinated Wildflower , 2005, The American Naturalist.

[15]  E. S. Degman,et al.  Investigations on the Cause and Control of Biennial Bearing of Apple Trees , 1942 .

[16]  J. Knops,et al.  The mystery of masting in trees , 2005 .

[17]  K. Sakai,et al.  Controlling chaos (OGY) implemented on a reconstructed ecological two-dimensional map , 2009 .

[18]  Mark Rees,et al.  Snow Tussocks, Chaos, and the Evolution of Mast Seeding , 2002, The American Naturalist.

[19]  K. Sakai,et al.  A new modified resource budget model for nonlinear dynamics in citrus production , 2016 .

[20]  Y. Iwasa,et al.  SPATIALLY LIMITED POLLEN EXCHANGE AND A LONG‐RANGE SYNCHRONIZATION OF TREES , 2002 .

[21]  Y. Iwasa,et al.  Pollen coupling of forest trees: forming synchronized and periodic reproduction out of chaos. , 2000, Journal of theoretical biology.

[22]  Ulf Sperens Long-term variation in, and effects of fertiliser addition on, flower, fruit and seed production in the tree Sorbus aucuparia (Rosaceae) , 1997 .

[23]  Jürgen Kurths,et al.  Synchronization - A Universal Concept in Nonlinear Sciences , 2001, Cambridge Nonlinear Science Series.

[24]  Yoh Iwasa,et al.  The synchronized and intermittent reproduction of forest trees is mediated by the Moran effect, only in association with pollen coupling , 2002 .

[25]  A. Hastings,et al.  The role of large environmental noise in masting: general model and example from pistachio trees. , 2009, Journal of theoretical biology.

[26]  Alan Hastings,et al.  Complex interactions between dispersal and dynamics: Lessons from coupled logistic equations , 1993 .

[27]  Winslow,et al.  Riddled parameter space in spatiotemporal chaotic dynamical systems. , 1994, Physical review letters.

[28]  K. Shibata,et al.  A "JOINT TREE" TRAINING SYSTEM ENABLES EARLY RETURNS ON JAPANESE PEAR ORCHARDS , 2008 .

[29]  Kenshi Sakai,et al.  Detecting chaos in a citrus orchard: Reconstruction of nonlinear dynamics from very short ecological time series , 2008 .

[30]  Liesje Mommer,et al.  Root-Root Interactions: Towards A Rhizosphere Framework. , 2016, Trends in plant science.

[31]  Dave Kelly,et al.  MAST SEEDING IN PERENNIAL PLANTS: Why, How, Where? , 2002 .

[32]  Awadhesh Prasad,et al.  Complicated basins in external-cavity semiconductor lasers , 2003 .

[33]  Edward Ott,et al.  Controlling chaos , 2006, Scholarpedia.

[34]  Kenshi Sakai,et al.  Noise Induced Synchronization on Collective Dynamics of Citrus Production , 2016 .

[35]  J. Yorke,et al.  Final state sensitivity: An obstruction to predictability , 1983 .

[36]  R. Ophir,et al.  Alternate Bearing in Citrus: Changes in the Expression of Flowering Control Genes and in Global Gene Expression in ON- versus OFF-Crop Trees , 2012, PloS one.

[37]  P. A. P. Moran,et al.  The statistical analysis of the Canadian Lynx cycle. , 1953 .

[38]  E. Goldschmidt,et al.  Alternate Bearing in Fruit Trees , 1982 .

[39]  Kurths,et al.  Phase synchronization of chaotic oscillators. , 1996, Physical review letters.

[40]  Kenshi Sakai,et al.  Spatial autocorrelation in masting phenomena of Quercus serrata detected by multi-spectral imaging , 2008 .

[41]  Nikolay V. Kuznetsov,et al.  Control of multistability in hidden attractors , 2015 .

[42]  Jürgen Kurths,et al.  Synchronization: Phase locking and frequency entrainment , 2001 .

[43]  S. Smaill,et al.  Climate cues and resources interact to determine seed production by a masting species , 2011 .

[44]  H. Gemma,et al.  Effect of bending and the joint tree training system on the expression levels of GA3- and GA2-oxidases during flower bud development in ‘Kiyo’ Japanese plum , 2015 .

[45]  P. Jordano,et al.  Annual Variability in Seed Production by Woody Plants and the Masting Concept: Reassessment of Principles and Relationship to Pollination and Seed Dispersal , 1998, The American Naturalist.

[46]  Robert C. Wolpert,et al.  A Review of the , 1985 .

[47]  J. Knops,et al.  What drives masting? The phenological synchrony hypothesis. , 2015, Ecology.

[48]  Ramakrishna Ramaswamy,et al.  Phase-flip bifurcation induced by time delay. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[49]  M. Tabor Chaos and Integrability in Nonlinear Dynamics: An Introduction , 1989 .

[50]  K. Satoh,et al.  Numerical study on a coupled-logistic map as a simple model for a predator-prey system , 1990 .