This paper describes an investigation into the supplementary requirements of water to the paddy field. The object has been to examnine the possibility of using the “HEAT BALANCE CLIMA-ATOLOGICAL METHOD” for evaluating the supplementary requirements of water.The results obtained from discussion in this paper may be summarized as follows:1. An estimate of the supplementary water requirements of paddy field, durinng the cultivating period, on an agroclimatological and hydrological basis would be of great value in the planning for efficient utilization of water resources. The following relations were derived, on the basis of water balance equation (1) in paddy field, as for the relations between the supplementary water requirements, the catchment area and the agroclimatic conditions:Pi*=ar*[Sw*/lr*{1+l(Pv*+Wt)/f·Sw*}-1], Ac/Af≅a/fr[Sw*/lr*{1+l(Pv*+Wt)/f·Sw*}-1]where Pi* is supplementary water requirement, Sw* net radiation over the water surface, r* rainfall, l latent heat of evaporation, Pv* seepage, Wt water required for harrowing the field, Ac is area of catchment, Af area of paddy field, f=0.85 is proportionality constant as shown in equation (7), a=0.8 is coefficient effective of rainfall, and fr is run-off coefficient.2. For evaluating Pi* and Ac/Af from the above relations, it is necessary to know the values and the seasonal variation of the net radiation Sw*. Figure 1 gives the comparison of the total short-wave radiation measured by the Robitzsh pyrheliograph with that estimated by the new empirical formula proposed by BUDYKO et al. Since a good agreement is obtained between these two, the new empirical formula was used to estimate the total short-wave radiation. The geographical distribution of the net radiation integrated for the cultivating periods (early culture, ordinary culture) is presented in Figure 2. The new amounts of net radiation exceed by about 10 per cent net radiation in the preceding papars (1959, 1962), but the relative geographical distribution of the net radiation does not show so much of a difference as compared with the foregoing.3. The comparison of the supplementary water requirements, as evaluated by the “HEAT BALANCE CLIMATOLOGICAL METHOD” and by actual measurement is shown in Figure 3. A substantial agreement is seen between these two. The main cause for the little discrepancy in the higher range of water requirements seems to be the disregard of the outflow of water from the paddy field in the “heat balance climatological method”. Such an agreement between them as shown in Figure 3, proves the heat balance climatological method for evaluating the supplementary water requirements of paddy field can be applied to practice.4. It is seen from Eqs (8) and (10 a), that the important quantities Pi* and Ac/Af in the investigation of water balance in paddy field and over wide area highly depend upon the non-dimensional parameter Sw*/lr*, which was adopted as one kind of agroclimatological indices and was known by the name of radiative dry index in the preceding paper (1962). Figure 2 shows the geographical distribution of radiative dry index derived from the data of net radiation and rainfall for the two cultivating periods. The agroclimatic condition in the early cultivation period is slightly dry in comparison with the condition in the ordinary cultivation period.
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