Transitional Matrix and Weighted Factor of Landcover Priority

33 Figure 2.16 Landcover Type Area in 1991, 1997, 2000 and 2007 Based on Table 2.9 and 2.10, and also Figure 2.16, Landcover has changed significantly over the period from 1991 to 2007 in Bandung area. From 1991 to 2000, although paddy field and forest decreased by only 9.04 and 3.37 , the decrease quantity amounts to 2.762 ha and 1.673 ha, respectively. In contrast, built-up area was increased by 5.57 . These trends continued in the period from 2000 to 2007. The paddy field decreased by 2.91 , the speed is a little higher than that of last period. The trend of forested change is reversed, increasing by 1.77 , from 2000 to 2007. The change trend of built-up area is relatively slow, although an increase trend is kept.

2.4.4. Transitional Matrix and Weighted Factor of Landcover Priority

Transitional matrix was used to identifying trend changes between each landcover for two time periods. This is basically the same as the cross tabulation matrix, which can be used for accuracy assessment. The result from Cross tabulation matrix analysis describe in Table 2.7 and 2.8 , shows the land use and land cover change matrix from 1991 to 2000. From the table, it is clear that there has been a considerable change during the 9-year period. Built up area have increased in area by 4.28 and in the other hand, Forest and Paddy Field has decreased in area by 1.79 and 2.89 respectively. 34 Table 2.11 Landcover Change Transitional Matrix, 1991 –2000 in hectares 1991 2000 1991 Total Ba Fr Pf Al Pl Sr Wb Ba 33.382 33.382 Fr 17 48.065 232 1.054 484 3.188 27 17 Pf 3.107 29 80.975 790 175 154 3.107 Al 225 95 254 74.507 224 182 225 Pl 84 30 43 274 42.447 98 84 Sr 46 51 836 1.952 374 29.235 17 46 Wb 14 6.834 2000 Total 36.861 48.270 82.354 78.577 43.704 32.857 6.878 329.501 Changes Ha 3.479 -4.797 -2.876 3.090 728 346 30 Changes 10,42 -9,04 -3,37 4,09 1,69 1,06 0,44 Note : Ba, Built up Area ; Fr, forest ; Pf, Paddy field ; Al, agricultural; Pl, plantation ; Wb, water body ; Sr, Shrub ; and Bl, Bare land. The Land usecover change transitional matrix analysis further indicates that of the 10,42 3.479 hectares increase in built-up area, 8,43 3.107 hectares results from paddy field and 0,61 225 hectares from Agricultural. Plantation, Forest and shrub contributes 0,23 84 hectares, 0,12 46 hectares and 0,05 17 hectares respectively. Based on percentage term, in study area during the 9-years periods 1991 – 2000, the largest increase of built-up area is the result from land conversion between paddy field into built-up area. These phenomena shown that most of the losses decreases of paddy field area during 1991-2000 were converted into built up area. The vast conversion of paddy field to built-up area was occurred in Bandung and Cimahi munipacility. During the period 2000-2007, the trend of internal structural variability of Landcover change transitional matrix in study area was almost similar to the period before. The built-up area increased by 4,28 , if the result was comparing with last period, the percentage value is lowest than that of last period. Similarity trend was found in Landcover change transitional matrix during the period 2000 – 2007. Paddy field is the most contributes in the land conversion into built-up area than the other type of landcover, the contributes is for about 3,49 1,342 35 hectares. Agricultural, forest, plantation and shrub contributes 0,35 136 hectares, 0.02 7 hectares, 0,13 49 hectares, 0,11 42 hectares respectively. Table 2.12 Landcover Change Transitional Matrix, 2000 – 2007 in hectares 2000 2007 2000 Total Ba Fr Pf Al Pl Sr Wb Ba 36.861 36.861 Fr 7 47.183 168 101 248 563 48.270 Pf 1.342 6 79.059 834 722 384 7 82.354 Al 136 36 285 77.798 261 61 78.577 Pl 49 109 109 408 43.006 23 43.704 Sr 42 84 320 65 42 32.269 35 32.857 Wb 14 5 0 6.859 6.878 2007 Total 38.437 47.418 79.955 79.211 44.279 33.300 6.901 329.501 Changes Ha 1.576 -852 -2.399 634 575 443 23 Changes 4,28 -1,77 -2,91 0,81 1,32 1,35 0,33 Note : Ba, Built up Area ; Fr, forest ; Pf, Paddy field ; Al, agricultural; Pl, plantation ; Wb, water body ; Sr, Shrub ; and Bl, Bare land. Over the time from 1991 to 2000 and 2000 – 2007, the increase of built-up area was caused mainly by the conversion from paddy field into built-up area. The reason from this condition, spatial distribution of paddy field in the study area is near from built-up area and the paddy field area mostly located in flat area. Actually, the expansion of urban-built up area is making possible for this condition. Landcover Transitional probabilities during 1991 – 2007 were used to derive each types of landcover priorities in this case paddy field, plantation, forest, agricultural, shrub, forest and water body conversion into built-up area. Landcover transitional probabilities during 1991-2000 and 2000 – 2007 were shown in Table 2.13. 36 Table 2.13 Landcover Transitional Probabilities, 1991 – 2000 1991 2000 Ba Fr Pf Al Pl Sr Wb Ba 1,000 0,000 0,000 0,000 0,000 0,000 0,000 Fr 0,000 0,906 0,004 0,020 0,009 0,060 0,001 Pf 0,036 0,000 0,950 0,009 0,002 0,002 0,000 Al 0,003 0,001 0,003 0,987 0,003 0,002 0,000 Pl 0,002 0,001 0,001 0,006 0,988 0,002 0,000 Sr 0,001 0,002 0,026 0,060 0,012 0,899 0,001 Wb 0,000 0,000 0,002 0,000 0,000 0,000 0,998 Table 2.14 Landcover Transitional Probabilities, 2000 – 2007 2000 2007 Ba Fr Pf Al Pl Sr Wb Ba 1,000 0,000 0,000 0,000 0,000 0,000 0,000 Fr 0,000 0,977 0,003 0,002 0,005 0,012 0,000 Pf 0,016 0,000 0,960 0,010 0,009 0,005 0,000 Al 0,002 0,000 0,004 0,990 0,003 0,001 0,000 Pl 0,001 0,002 0,002 0,009 0,984 0,001 0,000 Sr 0,001 0,003 0,010 0,002 0,001 0,982 0,001 Wb 0,000 0,000 0,002 0,001 0,000 0,000 0,997 Landcover change detection in study area was monitoring during the periode 1991 until 2007 is for about 16 years periode. In this research three , time periode for each landcover classification data are not same, 1991 – 1997 is for 6 years periode, 1997 – 2000 is for 3 years periode and 2000 – 2007 is for about 7 years periode. Trend of Probabilities conversion from each landcover type into built-up area was calculated based on years periode devided by 16 years periode and multiplied by each landcover probability. The mathematical expression for this statement can be described in equation 2.12 . 91 97 97 00 00 07 6 3 7 16 16 16 t P P P P          1.12 37 Table 2.15 Probability trend conversion from each Landcover type to Built-up area during 1991 – 2007 Years Landcover Fr Pf Al Pl Sr 1991 - 1997 0,00053 0,01970 0,00147 0,00063 0,00040 1997 - 2000 0,00024 0,01551 0,00362 0,00032 0,00036 2000 - 2007 0,00037 0,01697 0,00111 0,00103 0,00073 P t 0,00040 0,01772 0,00172 0,00075 0,00054 Weighted calculation for each landcover type conversion into built-up area was done by using ranking methods based probability trend conversion. Water body was not included in weighted calculation, because water body is constraint facto r that isn’t allowed conversion into build up area. Table 2.16 Weighted for Each Landcover Type Landcover Type Probability Average Rank Sum Straight Rank Reciprocal Weight 1rj Normalized Weight Forest 0,00040 5 0,20 0,09 Paddy Field 0,01772 1 1,00 0,44 Agricultural 0,00172 2 0,50 0,22 Plantation 0,00075 3 0,33 0,15 Shrub 0,00054 4 0,25 0,11 Total 2,28 1 Base on Table 2.16 paddy field was contributed the highest weighted for landcover priority conversion to built-up area is for about 33,33 . Agricultural, plantation, shrub and forest is for about 26,7 , 13,3 and 0,67 separately. These phenomena shown that most of the losses decreases of paddy field area during 1991-2007 were converted into built up area. Actually, in the study area paddy field was located and distributed near from built up-area and mostly located in flat area. Sprawl development type of built-up area in this study area is radial sprawl, so for each year built-up area development will be spreading from city center to the fringe of the city. 38

2.5. Conclusion