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STUDY ON OPTIMIZATION OF TROPICAL FISH HARVESTING OF A SRI LANKAN FISH FARM



                                3 METHODOLOGY                          polynomial  until  it  gives  considerable  R
                                                                       square value.
                        In  order to develop a model,  the chosen
                     fish varieties were analyzed through the key         Then  correlation  between  the  dependent
                     factors  that  assumed  to  be  affecting  on  the   variable  (DOH)  and  independent  variables
                     fish  population.  Mainly  the  data  related  to   (temperature,  salinity,  pH  level  and
                     these  key  factors  have  been  analyzed  for    alkalinity) were checked. Finally, the model
                     five consecutive years.                           was constructed by selecting the significant
                                                                       factors that affect for deaths on house.
                        In this study the population dynamics of
                     each  fish  farm  was  considered  with  key            4 DATA COLLECTION AND
                     factors which include deaths on house, local                      ANALYSIS
                     purchasing  quantity,  breeding,  import,
                     deaths on arrival and shipment.                      As the initial step of this study, secondary
                                                                       data were collected from each type of farm.
                        It is  noteworthy to  mention that there  is   From collected data fish variety is randomly
                     no  import  process  in  fresh  water  farm  and   selected from each farm because the analysis
                     no  breeding  process  in  marine  water  farm.   has to be made for a selected fish variety to
                     Beside  those,  deaths  on  arrival  from  the    avoid  the  effect  of  different  mortalities.
                     import process  are out of the  scope of this     Then  data  from  five  consecutive  years  had
                     research. It is obvious that since the study is   been  investigated  to  check  whether  there
                     carried out for a farm and not for a natural      was a pattern in the monthly population of
                     resource.                                         the farm.

                        Therefore,  the  conditions  such  as               5 RESULTS AND DISCUSSION
                     predators  etc  were  disregarded.  Deaths  on
                     the  house  (DOH)  had  been  examined               The  monthly  fish  population  was  found
                     through  four  key  factors,  temperature,        from  the  population  of  the  last  day  of  the
                     salinity, pH level and alkalinity in order to     month as it was the population of the farm.
                     reduce the deaths on house. Alkalinity was
                     measured  by  the  amount  of  acid  needed  to
                     bring the water sample to pH level 4.2. The
                     result  was  recorded  as  milligrams  per  liter
                     (mg/l) of calcium carbonate.

                        The mathematical software was used for
                     the analysis. Initially, import the data set to
                     the  workspace. To avoid  the  overload  only
                     the  monthly  fish  population  in  the  farm
                     during  5  years  was  selected  for  further
                     analysis.  Then  the  graph  of  monthly  fish
                     population with respect to days were plotted
                     to examine a pattern.                               Figure 1: Monthly Wreck fish population
                                                                                     for the year 2016
                        Curve fitting toolbox was used to fit the
                     polynomial equation. Auto fit option; center         Figure  1  illustrates  the  monthly  Wreck
                     and  scale  were  selected  to  avoid  the  errors   fish  population  in  the  farm  with  respect  to
                     of  the  model.  In  addition,  option  Robust    time. There is a high population during the
                     Bisquare, which gives the minimum weight          month  September  and  low  population  in
                     to  the  points  away  from  the  prediction      April and July. It is necessary to notice that
                     bound  or  the  points  that  considered  as      the reasons for low population might be the
                     outliers were selected. Best fitted model was     shipments beside the high DOH. The fitted
                     obtained  by  giving  different  degrees  to  the   polynomial model is shown given by




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