Curcuma alismatifolia GAGNEP. LEAF MODELING THE PEROID OF VEGETATIVE GROWTH

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1 Cucua alisaifolia ANEP. EAF MODEIN THE PEROID OF VEETATIVE ROWTH Piyanee Hosuwan * Rungoe Nilhong MaejoUnivesiyPhae Capus Phae 0 THAIAND School of Science Mae Fahuang Univesiy Chiang Rai 00 THAIAND *e-ail: piyanee@phae.ju.ac.h Absac Thegowh of plan in a peiod of ie can be lained by using a aheaical gowh odel including he onenial gowh and logisic gowh. This odel can be used fogowh of plan such as heigh lengh size o weigh depending on he eseachpupose. This odel is only used fo he gowh of plan wihou consideing he elaions of inenal aciviies in he plan. The eseach poposed his aheaical gowh odel focucua leaf by consideing on elaion of he gowh in leaf lengh of each Cucua leaf. The esul showed ha duing vegeaive gowh hee wee fou diffeen sages; he fis sage of gowh was a bi-onenial gowh odel he second sage was a bi-logisic gowh odel he hid sage was in educion phase of leaf lengh as a bi-onenial odel and he fouh sage was in educion phase of leaf lengh as a logisic gowh odel. The aveage oo ean squae eo RMSE and sandad eo SE wee used fo accuacy assessen and boh values wee sall eos; RMSE is abou and SE is abou eywod: plan gowh onenial gowh odel logisic gowh odel Cucua alisaifoliagagnep. Inoducion Plan gowh eans changes occu in weigh size and nube of plan unde appopiae envionenal condiion ha could be easued fo is heigh lengh nube size and weigh depending on he objecive of he sudy. The values obained fo he easueen could be buil a aheaical odel which could be used in laining he behavio of plan gowh o called a owh Model. This aheaical odel is basically in he fo of odinay diffeenial equaion deived fo onenial gowh odel and uli-onenial gowh odel Faina 00 hen odified fuhe o be he logisic gowh odelby foing new algebaic foa in ode o lain he plan gowh oe effecivelyjipaanakul00 uang 00 Tsoulais 00. Fuhe developen in gowh odel is Bi-ogisic gowh odel Meye Wadhani 00and Muli- ogisic gowh odel which can lain he gowh bee han he ogisic gowh fo siple gowh and coplicaed gowhmeye. The sudy on he gowh of plan leaf is ipoan since plan leaf is an ipoan ogan in poducing nuien fo plan. This eseach was sudied on he gowh of plan leaf by using Cucua as a case sudy of he pogess of he gowh of vaious onocoyledon which noally has he lowe leaves in sall size and will wihe when hey ae affeced by suounding condiion o fo he senescence of ha plan. The cause of leaf senescence is fo he nuien ansfeing in he pas ha have highe copeiion such as young leaf fui and oo ec. Theefoe his eseach focuses on s Mae Fah uang Univesiy Inenaional Confeence 0

2 he sudy fo seeking aheaical odel which could lain he gowh of Cucua leaf by consideing he elaions of behavio inside Cucua in ode o foecas he gowh behavio of each leaf of Cucua. Mehodology ow Cucua in soil po condiion black plasic bags unde nusey conol one plan pe one bag. Measue he lengh of leaf in ceniee fo each bag and ecod he lengh of each leaf eveyday unil wiheing. Take all he daa o analyze and seeking he elaions of each leaf gowh by consideing he elaions of behavio wihin he plan. Consuc he aheaical gowh odel using uli-onenial odel o/and uli-logisic odel o ge he bes fi on he obained elaions. Figue Cucua leaf in he peiod of vegeaive gowh s Mae Fah uang Univesiy Inenaional Confeence 0

3 s Mae Fah uang Univesiy Inenaional Confeence 0 Resuls Cucua wee gown and ecoded fo days as seen soe picues in Figue. The aheaical odel was deived fo he obained daa andcan be foulaed in he fos of aheaic equaion as pesened below. Muli owh Model

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6 The odel of Cucua leaf gowh can be caegoized in inevals and in he fos of uli-onenial gowh and uli-logisic gowh. is he gowh a a poin of ie is he ie of he gowh is he liied lengh size of he leaf is he peiod of leaf gowh is he ie of full leaf gowh is he end ie of gowh is he ie a he high gowh ae is he ae of leaf gowh is he iniial leaf lengh fo onenial gowh behavio and is he iniial o final leaf lengh fo logisic gowh behavio. Discussion and Conclusion When copaing he obained aheaical gowh odel wih he value obained fo he eien he esul of he odel and he eal daa was pesened in Figue. Fifh leaf Fouh leaf Thid leaf Second leaf Fis leaf a b a b a b Figue The Cucua leaf lengh copaison beween he eien and he odel The esuls showed ha each leaf hadhe siila chaaceisic cuve.the peiod of each leaf gowh of Cucua can also be divided ino diffeen sages; he fis sage of gowh was a bi-onenial gowh odel i.e.a and b; he second sage was a bi-logisic gowh odel i.e.a and b; he hid sage was educion of leaf lengh as a bi-onenial odel i.e.a and band he fouh sage was educion of leaf lengh as a logisic odel i.e.. Fo Figue he gaph of he fis leaf showed ha a fis sage a and b he gowh was apid and unliied giving he odel in he fis sage as an onenial fo. Afe ha he gowh saed o be consan a and b and eached he lii saisfied wih a logisic gowh odel. Duing peiod a o b he leaf began o wihe wih lowe he gowh ae. In his peiod he leaf decayed apidly and unliied like an onenial odel. In he s Mae Fah uang Univesiy Inenaional Confeence 0

7 fouhsage he wiheing of he leaf becae consan fifo a logisic odel. In addiion fo he gaph i showedha he fis leaf slowly sopped gowing when he second leaf had eeged and he second leaf would sop gowing when he hid leaf eeged and he sae behavio fo he fouh and he fifh leaf. This evealed ha he gowh of each Cucua leaf was elaed o one anohe due o food nuien ansfeing. The highe copeiive young leaf needed oe nuiion o gow and his would affec he slow gowh of he peceding leaf. The aveage oo ean squae eo RMSE and sandad eo SE wee used fo accuacy evaluaion. The Roo Mean Squae Eo RMSE obained fo he eal daa and he values fo he odel of each leaf wee shown in Table. Table The aveage oo ean squae eo RMSE and sandad eo SE Roo Mean SquaeEo RMSE Sandad Eo SE s leaf nd leaf d leaf h leaf h leaf Accoding o he sall eos of RMSE and SE he aheaical odelcan be used fo lanaion and pedicion in he gowh of Cucua leaf. Refeences. Jipaanakul A 00 hesis; Chulalongkon Univesiy:.. Faina and Ruisi P 00 Posiiviy of uli-onenial odels IFAC :-.. uang Y Huisan J & Else J.J 00 Soichioeic plan-hebivoe odels and hei inepeaion Mah.Biosci&Eng :-.. Meye P.S Bi-logisic gowh The Jounal Technological Foecasing and Social Change : -0.. Meye P.S Yung J.W and Ausubel J.H A pie on logisic gowh and subsiuion: The aheaic of he ogle ab sofwae The Jounal Technological Foecasing and Social Change ;:-0.. Ni Wayan Suya Wadhani 00 Using Bi-ogisic o esiae he gowh of young Teak ee Jounal of Maheaics and Technology :-.. Tsoulais A Wallace J 00 Analysis of logisic gowh odels Mah.Biosci :-. s Mae Fah uang Univesiy Inenaional Confeence 0